%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW434-1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:37:00 AM UTC 2025
% Result : Unsatisfiable 54.73s 54.91s
% Output : Proof 56.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW434-1 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 11:41:56 EDT 2025
% 0.11/0.34 % CPUTime :
% 54.73/54.91 % SZS status Unsatisfiable
% 54.73/54.91 % SZS output start Proof
% 54.73/54.91 tff(heap_type, type, (
% 54.73/54.91 heap: $i > $o)).
% 54.73/54.91 tff(sep_type, type, (
% 54.73/54.91 sep: ( $i * $i ) > $i)).
% 54.73/54.91 tff(emp_type, type, (
% 54.73/54.91 emp: $i)).
% 54.73/54.91 tff(lseg_type, type, (
% 54.73/54.91 lseg: ( $i * $i ) > $i)).
% 54.73/54.91 tff(x3_type, type, (
% 54.73/54.91 x3: $i)).
% 54.73/54.91 tff(x11_type, type, (
% 54.73/54.91 x11: $i)).
% 54.73/54.91 tff(x13_type, type, (
% 54.73/54.91 x13: $i)).
% 54.73/54.91 tff(x9_type, type, (
% 54.73/54.91 x9: $i)).
% 54.73/54.91 tff(x1_type, type, (
% 54.73/54.91 x1: $i)).
% 54.73/54.91 tff(x2_type, type, (
% 54.73/54.91 x2: $i)).
% 54.73/54.91 tff(x8_type, type, (
% 54.73/54.91 x8: $i)).
% 54.73/54.91 tff(x12_type, type, (
% 54.73/54.91 x12: $i)).
% 54.73/54.91 tff(x7_type, type, (
% 54.73/54.91 x7: $i)).
% 54.73/54.91 tff(x10_type, type, (
% 54.73/54.91 x10: $i)).
% 54.73/54.91 tff(x5_type, type, (
% 54.73/54.91 x5: $i)).
% 54.73/54.91 tff(x14_type, type, (
% 54.73/54.91 x14: $i)).
% 54.73/54.91 tff(1,plain,
% 54.73/54.91 (^[Sigma: $i, S: $i, T: $i] : refl((sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma))) <=> (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma))))),
% 54.73/54.91 inference(bind,[status(th)],[])).
% 54.73/54.91 tff(2,plain,
% 54.73/54.91 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma))) <=> ![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 54.73/54.91 inference(quant_intro,[status(thm)],[1])).
% 54.73/54.91 tff(3,plain,
% 54.73/54.91 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma))) <=> ![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 54.73/54.91 inference(rewrite,[status(thm)],[])).
% 54.73/54.91 tff(4,axiom,(![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','associative_commutative')).
% 54.73/54.91 tff(5,plain,
% 54.73/54.91 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 54.73/54.91 inference(modus_ponens,[status(thm)],[4, 3])).
% 54.73/54.91 tff(6,plain,(
% 54.73/54.91 ![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 54.73/54.91 inference(skolemize,[status(sab)],[5])).
% 54.73/54.91 tff(7,plain,
% 54.73/54.91 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 54.73/54.91 inference(modus_ponens,[status(thm)],[6, 2])).
% 54.73/54.91 tff(8,plain,
% 54.73/54.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.73/54.91 inference(quant_inst,[status(thm)],[])).
% 54.73/54.91 tff(9,plain,
% 54.73/54.91 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.73/54.91 inference(unit_resolution,[status(thm)],[8, 7])).
% 54.73/54.91 tff(10,plain,
% 54.73/54.91 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.73/54.91 inference(symmetry,[status(thm)],[9])).
% 54.73/54.91 tff(11,plain,
% 54.73/54.91 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.73/54.91 inference(monotonicity,[status(thm)],[10])).
% 54.73/54.91 tff(12,plain,
% 54.73/54.91 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.73/54.91 inference(symmetry,[status(thm)],[11])).
% 54.73/54.91 tff(13,plain,
% 54.73/54.91 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.73/54.91 inference(monotonicity,[status(thm)],[12])).
% 54.73/54.91 tff(14,plain,
% 54.73/54.91 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.73/54.91 inference(symmetry,[status(thm)],[13])).
% 54.73/54.91 tff(15,plain,
% 54.73/54.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.73/54.91 inference(quant_inst,[status(thm)],[])).
% 54.73/54.91 tff(16,plain,
% 54.73/54.91 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.73/54.91 inference(unit_resolution,[status(thm)],[15, 7])).
% 54.73/54.91 tff(17,plain,
% 54.73/54.91 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.73/54.91 inference(symmetry,[status(thm)],[16])).
% 54.73/54.91 tff(18,plain,
% 54.73/54.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.73/54.91 inference(quant_inst,[status(thm)],[])).
% 54.73/54.91 tff(19,plain,
% 54.73/54.91 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.73/54.91 inference(unit_resolution,[status(thm)],[18, 7])).
% 54.73/54.91 tff(20,plain,
% 54.73/54.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.73/54.91 inference(quant_inst,[status(thm)],[])).
% 54.73/54.91 tff(21,plain,
% 54.73/54.91 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.73/54.91 inference(unit_resolution,[status(thm)],[20, 7])).
% 54.73/54.91 tff(22,plain,
% 54.73/54.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.73/54.91 inference(quant_inst,[status(thm)],[])).
% 54.73/54.91 tff(23,plain,
% 54.73/54.91 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.73/54.91 inference(unit_resolution,[status(thm)],[22, 7])).
% 54.73/54.91 tff(24,plain,
% 54.73/54.91 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.73/54.91 inference(symmetry,[status(thm)],[23])).
% 54.73/54.91 tff(25,plain,
% 54.73/54.91 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[24])).
% 54.76/54.92 tff(26,plain,
% 54.76/54.92 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[25])).
% 54.76/54.92 tff(27,plain,
% 54.76/54.92 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.92 inference(transitivity,[status(thm)],[10, 26, 21])).
% 54.76/54.92 tff(28,plain,
% 54.76/54.92 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[27])).
% 54.76/54.92 tff(29,plain,
% 54.76/54.92 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(transitivity,[status(thm)],[28, 19])).
% 54.76/54.92 tff(30,plain,
% 54.76/54.92 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[29])).
% 54.76/54.92 tff(31,plain,
% 54.76/54.92 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[30])).
% 54.76/54.92 tff(32,plain,
% 54.76/54.92 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(transitivity,[status(thm)],[31, 17, 14])).
% 54.76/54.92 tff(33,plain,
% 54.76/54.92 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[32])).
% 54.76/54.92 tff(34,plain,
% 54.76/54.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.92 inference(quant_inst,[status(thm)],[])).
% 54.76/54.92 tff(35,plain,
% 54.76/54.92 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.92 inference(unit_resolution,[status(thm)],[34, 7])).
% 54.76/54.92 tff(36,plain,
% 54.76/54.92 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[35])).
% 54.76/54.92 tff(37,plain,
% 54.76/54.92 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.92 inference(transitivity,[status(thm)],[36, 33])).
% 54.76/54.92 tff(38,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[37])).
% 54.76/54.92 tff(39,plain,
% 54.76/54.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.92 inference(quant_inst,[status(thm)],[])).
% 54.76/54.92 tff(40,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.92 inference(unit_resolution,[status(thm)],[39, 7])).
% 54.76/54.92 tff(41,plain,
% 54.76/54.92 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[40])).
% 54.76/54.92 tff(42,plain,
% 54.76/54.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.92 inference(quant_inst,[status(thm)],[])).
% 54.76/54.92 tff(43,plain,
% 54.76/54.92 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.92 inference(unit_resolution,[status(thm)],[42, 7])).
% 54.76/54.92 tff(44,plain,
% 54.76/54.92 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[28])).
% 54.76/54.92 tff(45,plain,
% 54.76/54.92 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[19])).
% 54.76/54.92 tff(46,plain,
% 54.76/54.92 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(transitivity,[status(thm)],[45, 44])).
% 54.76/54.92 tff(47,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[46])).
% 54.76/54.92 tff(48,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[47])).
% 54.76/54.92 tff(49,plain,
% 54.76/54.92 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[48])).
% 54.76/54.92 tff(50,plain,
% 54.76/54.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.92 inference(quant_inst,[status(thm)],[])).
% 54.76/54.92 tff(51,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(unit_resolution,[status(thm)],[50, 7])).
% 54.76/54.92 tff(52,plain,
% 54.76/54.92 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[51])).
% 54.76/54.92 tff(53,plain,
% 54.76/54.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.76/54.92 inference(quant_inst,[status(thm)],[])).
% 54.76/54.92 tff(54,plain,
% 54.76/54.92 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.76/54.92 inference(unit_resolution,[status(thm)],[53, 7])).
% 54.76/54.92 tff(55,plain,
% 54.76/54.92 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[54])).
% 54.76/54.92 tff(56,plain,
% 54.76/54.92 (sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[55])).
% 54.76/54.92 tff(57,plain,
% 54.76/54.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.92 inference(quant_inst,[status(thm)],[])).
% 54.76/54.92 tff(58,plain,
% 54.76/54.92 (sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.76/54.92 inference(unit_resolution,[status(thm)],[57, 7])).
% 54.76/54.92 tff(59,plain,
% 54.76/54.92 (sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[58])).
% 54.76/54.92 tff(60,plain,
% 54.76/54.92 (sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.76/54.92 inference(transitivity,[status(thm)],[59, 56])).
% 54.76/54.92 tff(61,plain,
% 54.76/54.92 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[60])).
% 54.76/54.92 tff(62,plain,
% 54.76/54.92 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[61])).
% 54.76/54.92 tff(63,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(monotonicity,[status(thm)],[62])).
% 54.76/54.92 tff(64,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[63])).
% 54.76/54.92 tff(65,plain,
% 54.76/54.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.92 inference(quant_inst,[status(thm)],[])).
% 54.76/54.92 tff(66,plain,
% 54.76/54.92 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(unit_resolution,[status(thm)],[65, 7])).
% 54.76/54.92 tff(67,plain,
% 54.76/54.92 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.92 inference(symmetry,[status(thm)],[66])).
% 54.76/54.93 tff(68,plain,
% 54.76/54.93 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.93 inference(transitivity,[status(thm)],[67, 64])).
% 54.76/54.93 tff(69,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[68])).
% 54.76/54.93 tff(70,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(transitivity,[status(thm)],[69, 52])).
% 54.76/54.93 tff(71,plain,
% 54.76/54.93 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[70])).
% 54.76/54.93 tff(72,plain,
% 54.76/54.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.93 inference(quant_inst,[status(thm)],[])).
% 54.76/54.93 tff(73,plain,
% 54.76/54.93 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(unit_resolution,[status(thm)],[72, 7])).
% 54.76/54.93 tff(74,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(symmetry,[status(thm)],[73])).
% 54.76/54.93 tff(75,plain,
% 54.76/54.93 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[68])).
% 54.76/54.93 tff(76,plain,
% 54.76/54.93 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(symmetry,[status(thm)],[75])).
% 54.76/54.93 tff(77,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[76])).
% 54.76/54.93 tff(78,plain,
% 54.76/54.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(quant_inst,[status(thm)],[])).
% 54.76/54.93 tff(79,plain,
% 54.76/54.93 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(unit_resolution,[status(thm)],[78, 7])).
% 54.76/54.93 tff(80,plain,
% 54.76/54.93 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(symmetry,[status(thm)],[79])).
% 54.76/54.93 tff(81,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[80])).
% 54.76/54.93 tff(82,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(transitivity,[status(thm)],[81, 77, 74, 71, 49, 43])).
% 54.76/54.93 tff(83,plain,
% 54.76/54.93 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[82])).
% 54.76/54.93 tff(84,plain,
% 54.76/54.93 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.93 inference(transitivity,[status(thm)],[83, 41, 38])).
% 54.76/54.93 tff(85,plain,
% 54.76/54.93 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[84])).
% 54.76/54.93 tff(86,plain,
% 54.76/54.93 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.93 inference(symmetry,[status(thm)],[85])).
% 54.76/54.93 tff(87,plain,
% 54.76/54.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(quant_inst,[status(thm)],[])).
% 54.76/54.93 tff(88,plain,
% 54.76/54.93 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.93 inference(unit_resolution,[status(thm)],[87, 7])).
% 54.76/54.93 tff(89,plain,
% 54.76/54.93 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.93 inference(symmetry,[status(thm)],[88])).
% 54.76/54.93 tff(90,plain,
% 54.76/54.93 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.93 inference(transitivity,[status(thm)],[89, 11])).
% 54.76/54.93 tff(91,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[90])).
% 54.76/54.93 tff(92,plain,
% 54.76/54.93 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(monotonicity,[status(thm)],[91])).
% 54.76/54.93 tff(93,plain,
% 54.76/54.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.93 inference(quant_inst,[status(thm)],[])).
% 54.76/54.93 tff(94,plain,
% 54.76/54.93 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(unit_resolution,[status(thm)],[93, 7])).
% 54.76/54.93 tff(95,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.93 inference(symmetry,[status(thm)],[94])).
% 54.76/54.93 tff(96,plain,
% 54.76/54.93 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.94 inference(transitivity,[status(thm)],[95, 92])).
% 54.76/54.94 tff(97,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(monotonicity,[status(thm)],[96])).
% 54.76/54.94 tff(98,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(symmetry,[status(thm)],[97])).
% 54.76/54.94 tff(99,plain,
% 54.76/54.94 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(monotonicity,[status(thm)],[98])).
% 54.76/54.94 tff(100,plain,
% 54.76/54.94 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(symmetry,[status(thm)],[99])).
% 54.76/54.94 tff(101,plain,
% 54.76/54.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.76/54.94 inference(quant_inst,[status(thm)],[])).
% 54.76/54.94 tff(102,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(unit_resolution,[status(thm)],[101, 7])).
% 54.76/54.94 tff(103,plain,
% 54.76/54.94 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(monotonicity,[status(thm)],[96])).
% 54.76/54.94 tff(104,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(monotonicity,[status(thm)],[103])).
% 54.76/54.94 tff(105,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(symmetry,[status(thm)],[104])).
% 54.76/54.94 tff(106,plain,
% 54.76/54.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(quant_inst,[status(thm)],[])).
% 54.76/54.94 tff(107,plain,
% 54.76/54.94 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(unit_resolution,[status(thm)],[106, 7])).
% 54.76/54.94 tff(108,plain,
% 54.76/54.94 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(symmetry,[status(thm)],[107])).
% 54.76/54.94 tff(109,plain,
% 54.76/54.94 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(transitivity,[status(thm)],[108, 103])).
% 54.76/54.94 tff(110,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(monotonicity,[status(thm)],[109])).
% 54.76/54.94 tff(111,plain,
% 54.76/54.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.76/54.94 inference(quant_inst,[status(thm)],[])).
% 54.76/54.94 tff(112,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(unit_resolution,[status(thm)],[111, 7])).
% 54.76/54.94 tff(113,plain,
% 54.76/54.94 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(symmetry,[status(thm)],[112])).
% 54.76/54.94 tff(114,plain,
% 54.76/54.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.94 inference(quant_inst,[status(thm)],[])).
% 54.76/54.94 tff(115,plain,
% 54.76/54.94 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(unit_resolution,[status(thm)],[114, 7])).
% 54.76/54.94 tff(116,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.94 inference(monotonicity,[status(thm)],[90])).
% 54.76/54.94 tff(117,plain,
% 54.76/54.94 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.94 inference(symmetry,[status(thm)],[116])).
% 54.76/54.94 tff(118,plain,
% 54.76/54.94 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.94 inference(monotonicity,[status(thm)],[117])).
% 54.76/54.94 tff(119,plain,
% 54.76/54.94 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.94 inference(symmetry,[status(thm)],[118])).
% 54.76/54.94 tff(120,plain,
% 54.76/54.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.94 inference(quant_inst,[status(thm)],[])).
% 54.76/54.95 tff(121,plain,
% 54.76/54.95 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(unit_resolution,[status(thm)],[120, 7])).
% 54.76/54.95 tff(122,plain,
% 54.76/54.95 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[121])).
% 54.76/54.95 tff(123,plain,
% 54.76/54.95 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[122, 119])).
% 54.76/54.95 tff(124,plain,
% 54.76/54.95 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(monotonicity,[status(thm)],[123])).
% 54.76/54.95 tff(125,plain,
% 54.76/54.95 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[124])).
% 54.76/54.95 tff(126,plain,
% 54.76/54.95 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[125, 115])).
% 54.76/54.95 tff(127,plain,
% 54.76/54.95 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.95 inference(monotonicity,[status(thm)],[126])).
% 54.76/54.95 tff(128,plain,
% 54.76/54.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(quant_inst,[status(thm)],[])).
% 54.76/54.95 tff(129,plain,
% 54.76/54.95 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(unit_resolution,[status(thm)],[128, 7])).
% 54.76/54.95 tff(130,plain,
% 54.76/54.95 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[129])).
% 54.76/54.95 tff(131,plain,
% 54.76/54.95 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[130, 116])).
% 54.76/54.95 tff(132,plain,
% 54.76/54.95 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(monotonicity,[status(thm)],[131])).
% 54.76/54.95 tff(133,plain,
% 54.76/54.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(quant_inst,[status(thm)],[])).
% 54.76/54.95 tff(134,plain,
% 54.76/54.95 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(unit_resolution,[status(thm)],[133, 7])).
% 54.76/54.95 tff(135,plain,
% 54.76/54.95 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[134])).
% 54.76/54.95 tff(136,plain,
% 54.76/54.95 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[135, 132])).
% 54.76/54.95 tff(137,plain,
% 54.76/54.95 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(monotonicity,[status(thm)],[136])).
% 54.76/54.95 tff(138,plain,
% 54.76/54.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.95 inference(quant_inst,[status(thm)],[])).
% 54.76/54.95 tff(139,plain,
% 54.76/54.95 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(unit_resolution,[status(thm)],[138, 7])).
% 54.76/54.95 tff(140,plain,
% 54.76/54.95 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[139])).
% 54.76/54.95 tff(141,plain,
% 54.76/54.95 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[140, 137])).
% 54.76/54.95 tff(142,plain,
% 54.76/54.95 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.95 inference(monotonicity,[status(thm)],[26])).
% 54.76/54.95 tff(143,plain,
% 54.76/54.95 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[142])).
% 54.76/54.95 tff(144,plain,
% 54.76/54.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(quant_inst,[status(thm)],[])).
% 54.76/54.95 tff(145,plain,
% 54.76/54.95 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.95 inference(unit_resolution,[status(thm)],[144, 7])).
% 54.76/54.95 tff(146,plain,
% 54.76/54.95 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[145])).
% 54.76/54.95 tff(147,plain,
% 54.76/54.95 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[146, 143])).
% 54.76/54.95 tff(148,plain,
% 54.76/54.95 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(monotonicity,[status(thm)],[147])).
% 54.76/54.95 tff(149,plain,
% 54.76/54.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(quant_inst,[status(thm)],[])).
% 54.76/54.95 tff(150,plain,
% 54.76/54.95 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(unit_resolution,[status(thm)],[149, 7])).
% 54.76/54.95 tff(151,plain,
% 54.76/54.95 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[150])).
% 54.76/54.95 tff(152,plain,
% 54.76/54.95 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[151, 148])).
% 54.76/54.95 tff(153,plain,
% 54.76/54.95 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(monotonicity,[status(thm)],[152])).
% 54.76/54.95 tff(154,plain,
% 54.76/54.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.95 inference(quant_inst,[status(thm)],[])).
% 54.76/54.95 tff(155,plain,
% 54.76/54.95 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(unit_resolution,[status(thm)],[154, 7])).
% 54.76/54.95 tff(156,plain,
% 54.76/54.95 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(symmetry,[status(thm)],[155])).
% 54.76/54.95 tff(157,plain,
% 54.76/54.95 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.95 inference(transitivity,[status(thm)],[156, 153])).
% 54.76/54.95 tff(158,plain,
% 54.76/54.95 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(monotonicity,[status(thm)],[157])).
% 54.76/54.96 tff(159,plain,
% 54.76/54.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.96 inference(quant_inst,[status(thm)],[])).
% 54.76/54.96 tff(160,plain,
% 54.76/54.96 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(unit_resolution,[status(thm)],[159, 7])).
% 54.76/54.96 tff(161,plain,
% 54.76/54.96 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(symmetry,[status(thm)],[160])).
% 54.76/54.96 tff(162,plain,
% 54.76/54.96 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(transitivity,[status(thm)],[161, 158])).
% 54.76/54.96 tff(163,plain,
% 54.76/54.96 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.96 inference(monotonicity,[status(thm)],[162])).
% 54.76/54.96 tff(164,plain,
% 54.76/54.96 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.96 inference(symmetry,[status(thm)],[163])).
% 54.76/54.96 tff(165,plain,
% 54.76/54.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.76/54.96 inference(quant_inst,[status(thm)],[])).
% 54.76/54.96 tff(166,plain,
% 54.76/54.96 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.96 inference(unit_resolution,[status(thm)],[165, 7])).
% 54.76/54.96 tff(167,plain,
% 54.76/54.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.96 inference(quant_inst,[status(thm)],[])).
% 54.76/54.96 tff(168,plain,
% 54.76/54.96 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.96 inference(unit_resolution,[status(thm)],[167, 7])).
% 54.76/54.96 tff(169,plain,
% 54.76/54.96 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.96 inference(monotonicity,[status(thm)],[168])).
% 54.76/54.96 tff(170,plain,
% 54.76/54.96 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.96 inference(symmetry,[status(thm)],[169])).
% 54.76/54.96 tff(171,plain,
% 54.76/54.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(quant_inst,[status(thm)],[])).
% 54.76/54.96 tff(172,plain,
% 54.76/54.96 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.96 inference(unit_resolution,[status(thm)],[171, 7])).
% 54.76/54.96 tff(173,plain,
% 54.76/54.96 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.96 inference(symmetry,[status(thm)],[172])).
% 54.76/54.96 tff(174,plain,
% 54.76/54.96 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.96 inference(transitivity,[status(thm)],[173, 170])).
% 54.76/54.96 tff(175,plain,
% 54.76/54.96 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(monotonicity,[status(thm)],[174])).
% 54.76/54.96 tff(176,plain,
% 54.76/54.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.96 inference(quant_inst,[status(thm)],[])).
% 54.76/54.96 tff(177,plain,
% 54.76/54.96 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(unit_resolution,[status(thm)],[176, 7])).
% 54.76/54.96 tff(178,plain,
% 54.76/54.96 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(symmetry,[status(thm)],[177])).
% 54.76/54.96 tff(179,plain,
% 54.76/54.96 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.96 inference(transitivity,[status(thm)],[178, 175])).
% 54.76/54.96 tff(180,plain,
% 54.76/54.96 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.96 inference(monotonicity,[status(thm)],[179])).
% 54.76/54.96 tff(181,plain,
% 54.76/54.96 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.96 inference(symmetry,[status(thm)],[180])).
% 54.76/54.96 tff(182,plain,
% 54.76/54.96 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.96 inference(symmetry,[status(thm)],[168])).
% 54.76/54.96 tff(183,plain,
% 54.76/54.96 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(transitivity,[status(thm)],[142, 145])).
% 54.76/54.97 tff(184,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[183])).
% 54.76/54.97 tff(185,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[184])).
% 54.76/54.97 tff(186,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(187,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[186, 7])).
% 54.76/54.97 tff(188,plain,
% 54.76/54.97 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[187])).
% 54.76/54.97 tff(189,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(190,plain,
% 54.76/54.97 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[189, 7])).
% 54.76/54.97 tff(191,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[23])).
% 54.76/54.97 tff(192,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[191])).
% 54.76/54.97 tff(193,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(194,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[193, 7])).
% 54.76/54.97 tff(195,plain,
% 54.76/54.97 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[194])).
% 54.76/54.97 tff(196,plain,
% 54.76/54.97 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.97 inference(transitivity,[status(thm)],[195, 192])).
% 54.76/54.97 tff(197,plain,
% 54.76/54.97 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[196])).
% 54.76/54.97 tff(198,plain,
% 54.76/54.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[197])).
% 54.76/54.97 tff(199,plain,
% 54.76/54.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[191])).
% 54.76/54.97 tff(200,plain,
% 54.76/54.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[199])).
% 54.76/54.97 tff(201,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(202,plain,
% 54.76/54.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[201, 7])).
% 54.76/54.97 tff(203,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[202])).
% 54.76/54.97 tff(204,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.97 inference(transitivity,[status(thm)],[203, 200, 198, 190])).
% 54.76/54.97 tff(205,plain,
% 54.76/54.97 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[204])).
% 54.76/54.97 tff(206,plain,
% 54.76/54.97 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[205])).
% 54.76/54.97 tff(207,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(208,plain,
% 54.76/54.97 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[207, 7])).
% 54.76/54.97 tff(209,plain,
% 54.76/54.97 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[208])).
% 54.76/54.97 tff(210,plain,
% 54.76/54.97 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.97 inference(transitivity,[status(thm)],[209, 206, 188, 185, 182])).
% 54.76/54.97 tff(211,plain,
% 54.76/54.97 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[210])).
% 54.76/54.97 tff(212,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(213,plain,
% 54.76/54.97 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[212, 7])).
% 54.76/54.97 tff(214,plain,
% 54.76/54.97 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[213])).
% 54.76/54.97 tff(215,plain,
% 54.76/54.97 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.97 inference(transitivity,[status(thm)],[214, 211])).
% 54.76/54.97 tff(216,plain,
% 54.76/54.97 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[215])).
% 54.76/54.97 tff(217,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(218,plain,
% 54.76/54.97 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[217, 7])).
% 54.76/54.97 tff(219,plain,
% 54.76/54.97 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[218])).
% 54.76/54.97 tff(220,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))) = sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 54.76/54.97 inference(quant_inst,[status(thm)],[])).
% 54.76/54.97 tff(221,plain,
% 54.76/54.97 (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))) = sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))),
% 54.76/54.97 inference(unit_resolution,[status(thm)],[220, 7])).
% 54.76/54.97 tff(222,plain,
% 54.76/54.97 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[221])).
% 54.76/54.97 tff(223,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.76/54.97 inference(monotonicity,[status(thm)],[222])).
% 54.76/54.97 tff(224,plain,
% 54.76/54.97 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.76/54.97 inference(symmetry,[status(thm)],[223])).
% 54.76/54.97 tff(225,plain,
% 54.76/54.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.76/54.98 inference(quant_inst,[status(thm)],[])).
% 54.76/54.98 tff(226,plain,
% 54.76/54.98 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.76/54.98 inference(unit_resolution,[status(thm)],[225, 7])).
% 54.76/54.98 tff(227,plain,
% 54.76/54.98 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[226])).
% 54.76/54.98 tff(228,plain,
% 54.76/54.98 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.76/54.98 inference(transitivity,[status(thm)],[227, 224])).
% 54.76/54.98 tff(229,plain,
% 54.76/54.98 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[228])).
% 54.76/54.98 tff(230,plain,
% 54.76/54.98 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[229])).
% 54.76/54.98 tff(231,plain,
% 54.76/54.98 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[230])).
% 54.76/54.98 tff(232,plain,
% 54.76/54.98 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[231])).
% 54.76/54.98 tff(233,plain,
% 54.76/54.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(quant_inst,[status(thm)],[])).
% 54.76/54.98 tff(234,plain,
% 54.76/54.98 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.98 inference(unit_resolution,[status(thm)],[233, 7])).
% 54.76/54.98 tff(235,plain,
% 54.76/54.98 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[234])).
% 54.76/54.98 tff(236,plain,
% 54.76/54.98 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.98 inference(transitivity,[status(thm)],[235, 232])).
% 54.76/54.98 tff(237,plain,
% 54.76/54.98 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[236])).
% 54.76/54.98 tff(238,plain,
% 54.76/54.98 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[237])).
% 54.76/54.98 tff(239,plain,
% 54.76/54.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.98 inference(quant_inst,[status(thm)],[])).
% 54.76/54.98 tff(240,plain,
% 54.76/54.98 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.98 inference(unit_resolution,[status(thm)],[239, 7])).
% 54.76/54.98 tff(241,plain,
% 54.76/54.98 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[240])).
% 54.76/54.98 tff(242,plain,
% 54.76/54.98 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[236])).
% 54.76/54.98 tff(243,plain,
% 54.76/54.98 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[242])).
% 54.76/54.98 tff(244,plain,
% 54.76/54.98 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[243])).
% 54.76/54.98 tff(245,plain,
% 54.76/54.98 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.98 inference(transitivity,[status(thm)],[244, 241, 238])).
% 54.76/54.98 tff(246,plain,
% 54.76/54.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.98 inference(quant_inst,[status(thm)],[])).
% 54.76/54.98 tff(247,plain,
% 54.76/54.98 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.98 inference(unit_resolution,[status(thm)],[246, 7])).
% 54.76/54.98 tff(248,plain,
% 54.76/54.98 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[247])).
% 54.76/54.98 tff(249,plain,
% 54.76/54.98 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[90])).
% 54.76/54.98 tff(250,plain,
% 54.76/54.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.98 inference(quant_inst,[status(thm)],[])).
% 54.76/54.98 tff(251,plain,
% 54.76/54.98 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(unit_resolution,[status(thm)],[250, 7])).
% 54.76/54.98 tff(252,plain,
% 54.76/54.98 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(symmetry,[status(thm)],[251])).
% 54.76/54.98 tff(253,plain,
% 54.76/54.98 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.98 inference(transitivity,[status(thm)],[252, 249, 182])).
% 54.76/54.98 tff(254,plain,
% 54.76/54.98 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.98 inference(monotonicity,[status(thm)],[253])).
% 54.76/54.98 tff(255,plain,
% 54.76/54.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.98 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(256,plain,
% 54.76/54.99 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[255, 7])).
% 54.76/54.99 tff(257,plain,
% 54.76/54.99 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[256])).
% 54.76/54.99 tff(258,plain,
% 54.76/54.99 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.99 inference(transitivity,[status(thm)],[257, 254])).
% 54.76/54.99 tff(259,plain,
% 54.76/54.99 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[258])).
% 54.76/54.99 tff(260,plain,
% 54.76/54.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.99 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(261,plain,
% 54.76/54.99 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[260, 7])).
% 54.76/54.99 tff(262,plain,
% 54.76/54.99 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[261])).
% 54.76/54.99 tff(263,plain,
% 54.76/54.99 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.99 inference(transitivity,[status(thm)],[262, 259, 248])).
% 54.76/54.99 tff(264,plain,
% 54.76/54.99 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[263])).
% 54.76/54.99 tff(265,plain,
% 54.76/54.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.76/54.99 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(266,plain,
% 54.76/54.99 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[265, 7])).
% 54.76/54.99 tff(267,plain,
% 54.76/54.99 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[266])).
% 54.76/54.99 tff(268,plain,
% 54.76/54.99 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.99 inference(transitivity,[status(thm)],[267, 264])).
% 54.76/54.99 tff(269,plain,
% 54.76/54.99 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[268])).
% 54.76/54.99 tff(270,plain,
% 54.76/54.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 54.76/54.99 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(271,plain,
% 54.76/54.99 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[270, 7])).
% 54.76/54.99 tff(272,plain,
% 54.76/54.99 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[271])).
% 54.76/54.99 tff(273,plain,
% 54.76/54.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.76/54.99 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(274,plain,
% 54.76/54.99 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[273, 7])).
% 54.76/54.99 tff(275,plain,
% 54.76/54.99 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[60])).
% 54.76/54.99 tff(276,plain,
% 54.76/54.99 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[275])).
% 54.76/54.99 tff(277,plain,
% 54.76/54.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.99 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(278,plain,
% 54.76/54.99 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[277, 7])).
% 54.76/54.99 tff(279,plain,
% 54.76/54.99 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[278])).
% 54.76/54.99 tff(280,plain,
% 54.76/54.99 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[59])).
% 54.76/54.99 tff(281,plain,
% 54.76/54.99 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[280])).
% 54.76/54.99 tff(282,plain,
% 54.76/54.99 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[281])).
% 54.76/54.99 tff(283,plain,
% 54.76/54.99 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(transitivity,[status(thm)],[282, 279, 276])).
% 54.76/54.99 tff(284,plain,
% 54.76/54.99 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[283])).
% 54.76/54.99 tff(285,plain,
% 54.76/54.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/54.99 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(286,plain,
% 54.76/54.99 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[285, 7])).
% 54.76/54.99 tff(287,plain,
% 54.76/54.99 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[286])).
% 54.76/54.99 tff(288,plain,
% 54.76/54.99 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(monotonicity,[status(thm)],[281])).
% 54.76/54.99 tff(289,plain,
% 54.76/54.99 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(symmetry,[status(thm)],[288])).
% 54.76/54.99 tff(290,plain,
% 54.76/54.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/54.99 inference(quant_inst,[status(thm)],[])).
% 54.76/54.99 tff(291,plain,
% 54.76/54.99 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/54.99 inference(unit_resolution,[status(thm)],[290, 7])).
% 54.76/54.99 tff(292,plain,
% 54.76/54.99 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/55.00 inference(symmetry,[status(thm)],[291])).
% 54.76/55.00 tff(293,plain,
% 54.76/55.00 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.76/55.00 inference(transitivity,[status(thm)],[292, 289])).
% 54.76/55.00 tff(294,plain,
% 54.76/55.00 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/55.00 inference(monotonicity,[status(thm)],[293])).
% 54.76/55.00 tff(295,plain,
% 54.76/55.00 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/55.00 inference(transitivity,[status(thm)],[294, 287, 284])).
% 54.76/55.00 tff(296,plain,
% 54.76/55.00 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(monotonicity,[status(thm)],[295])).
% 54.76/55.00 tff(297,plain,
% 54.76/55.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/55.00 inference(quant_inst,[status(thm)],[])).
% 54.76/55.00 tff(298,plain,
% 54.76/55.00 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(unit_resolution,[status(thm)],[297, 7])).
% 54.76/55.00 tff(299,plain,
% 54.76/55.00 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/55.00 inference(monotonicity,[status(thm)],[293])).
% 54.76/55.00 tff(300,plain,
% 54.76/55.00 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/55.00 inference(symmetry,[status(thm)],[299])).
% 54.76/55.00 tff(301,plain,
% 54.76/55.00 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(monotonicity,[status(thm)],[300])).
% 54.76/55.00 tff(302,plain,
% 54.76/55.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(quant_inst,[status(thm)],[])).
% 54.76/55.00 tff(303,plain,
% 54.76/55.00 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/55.00 inference(unit_resolution,[status(thm)],[302, 7])).
% 54.76/55.00 tff(304,plain,
% 54.76/55.00 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/55.00 inference(symmetry,[status(thm)],[303])).
% 54.76/55.00 tff(305,plain,
% 54.76/55.00 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.76/55.00 inference(transitivity,[status(thm)],[304, 299])).
% 54.76/55.00 tff(306,plain,
% 54.76/55.00 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(monotonicity,[status(thm)],[305])).
% 54.76/55.00 tff(307,plain,
% 54.76/55.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.76/55.00 inference(quant_inst,[status(thm)],[])).
% 54.76/55.00 tff(308,plain,
% 54.76/55.00 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(unit_resolution,[status(thm)],[307, 7])).
% 54.76/55.00 tff(309,plain,
% 54.76/55.00 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(symmetry,[status(thm)],[308])).
% 54.76/55.00 tff(310,plain,
% 54.76/55.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.76/55.00 inference(quant_inst,[status(thm)],[])).
% 54.76/55.00 tff(311,plain,
% 54.76/55.00 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.00 inference(unit_resolution,[status(thm)],[310, 7])).
% 54.84/55.00 tff(312,plain,
% 54.84/55.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.00 inference(quant_inst,[status(thm)],[])).
% 54.84/55.00 tff(313,plain,
% 54.84/55.00 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.00 inference(unit_resolution,[status(thm)],[312, 7])).
% 54.84/55.00 tff(314,plain,
% 54.84/55.00 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.00 inference(symmetry,[status(thm)],[275])).
% 54.84/55.00 tff(315,plain,
% 54.84/55.00 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.00 inference(monotonicity,[status(thm)],[314])).
% 54.84/55.00 tff(316,plain,
% 54.84/55.00 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.00 inference(transitivity,[status(thm)],[315, 313])).
% 54.84/55.00 tff(317,plain,
% 54.84/55.00 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.00 inference(monotonicity,[status(thm)],[316])).
% 54.84/55.00 tff(318,plain,
% 54.84/55.00 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.00 inference(transitivity,[status(thm)],[317, 311])).
% 54.84/55.00 tff(319,plain,
% 54.84/55.00 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.00 inference(monotonicity,[status(thm)],[318])).
% 54.84/55.00 tff(320,plain,
% 54.84/55.00 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.00 inference(monotonicity,[status(thm)],[56])).
% 54.84/55.00 tff(321,plain,
% 54.84/55.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.00 inference(quant_inst,[status(thm)],[])).
% 54.84/55.00 tff(322,plain,
% 54.84/55.00 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.01 inference(unit_resolution,[status(thm)],[321, 7])).
% 54.84/55.01 tff(323,plain,
% 54.84/55.01 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[322])).
% 54.84/55.01 tff(324,plain,
% 54.84/55.01 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.01 inference(transitivity,[status(thm)],[323, 320])).
% 54.84/55.01 tff(325,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[324])).
% 54.84/55.01 tff(326,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[325])).
% 54.84/55.01 tff(327,plain,
% 54.84/55.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(quant_inst,[status(thm)],[])).
% 54.84/55.01 tff(328,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(unit_resolution,[status(thm)],[327, 7])).
% 54.84/55.01 tff(329,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[328])).
% 54.84/55.01 tff(330,plain,
% 54.84/55.01 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.01 inference(transitivity,[status(thm)],[323, 320, 314])).
% 54.84/55.01 tff(331,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[330])).
% 54.84/55.01 tff(332,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[331])).
% 54.84/55.01 tff(333,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[332])).
% 54.84/55.01 tff(334,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(transitivity,[status(thm)],[333, 329, 326])).
% 54.84/55.01 tff(335,plain,
% 54.84/55.01 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[334])).
% 54.84/55.01 tff(336,plain,
% 54.84/55.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.01 inference(quant_inst,[status(thm)],[])).
% 54.84/55.01 tff(337,plain,
% 54.84/55.01 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(unit_resolution,[status(thm)],[336, 7])).
% 54.84/55.01 tff(338,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[337])).
% 54.84/55.01 tff(339,plain,
% 54.84/55.01 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[332])).
% 54.84/55.01 tff(340,plain,
% 54.84/55.01 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[339])).
% 54.84/55.01 tff(341,plain,
% 54.84/55.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(quant_inst,[status(thm)],[])).
% 54.84/55.01 tff(342,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(unit_resolution,[status(thm)],[341, 7])).
% 54.84/55.01 tff(343,plain,
% 54.84/55.01 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[324])).
% 54.84/55.01 tff(344,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[343])).
% 54.84/55.01 tff(345,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[344])).
% 54.84/55.01 tff(346,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(transitivity,[status(thm)],[345, 342, 340])).
% 54.84/55.01 tff(347,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[346])).
% 54.84/55.01 tff(348,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(transitivity,[status(thm)],[347, 338, 335, 319, 309, 306, 301, 298, 296])).
% 54.84/55.01 tff(349,plain,
% 54.84/55.01 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[348])).
% 54.84/55.01 tff(350,plain,
% 54.84/55.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.01 inference(quant_inst,[status(thm)],[])).
% 54.84/55.01 tff(351,plain,
% 54.84/55.01 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.01 inference(unit_resolution,[status(thm)],[350, 7])).
% 54.84/55.01 tff(352,plain,
% 54.84/55.01 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[351])).
% 54.84/55.01 tff(353,plain,
% 54.84/55.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(quant_inst,[status(thm)],[])).
% 54.84/55.01 tff(354,plain,
% 54.84/55.01 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.01 inference(unit_resolution,[status(thm)],[353, 7])).
% 54.84/55.01 tff(355,plain,
% 54.84/55.01 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[354])).
% 54.84/55.01 tff(356,plain,
% 54.84/55.01 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.01 inference(transitivity,[status(thm)],[355, 343])).
% 54.84/55.01 tff(357,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[356])).
% 54.84/55.01 tff(358,plain,
% 54.84/55.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[357])).
% 54.84/55.01 tff(359,plain,
% 54.84/55.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(monotonicity,[status(thm)],[358])).
% 54.84/55.01 tff(360,plain,
% 54.84/55.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.01 inference(symmetry,[status(thm)],[359])).
% 54.84/55.01 tff(361,plain,
% 54.84/55.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.02 inference(quant_inst,[status(thm)],[])).
% 54.84/55.02 tff(362,plain,
% 54.84/55.02 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(unit_resolution,[status(thm)],[361, 7])).
% 54.84/55.02 tff(363,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[356])).
% 54.84/55.02 tff(364,plain,
% 54.84/55.02 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[363])).
% 54.84/55.02 tff(365,plain,
% 54.84/55.02 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(symmetry,[status(thm)],[364])).
% 54.84/55.02 tff(366,plain,
% 54.84/55.02 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(transitivity,[status(thm)],[365, 362, 360])).
% 54.84/55.02 tff(367,plain,
% 54.84/55.02 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[366])).
% 54.84/55.02 tff(368,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.02 inference(symmetry,[status(thm)],[343])).
% 54.84/55.02 tff(369,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[368])).
% 54.84/55.02 tff(370,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(symmetry,[status(thm)],[369])).
% 54.84/55.02 tff(371,plain,
% 54.84/55.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(quant_inst,[status(thm)],[])).
% 54.84/55.02 tff(372,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(unit_resolution,[status(thm)],[371, 7])).
% 54.84/55.02 tff(373,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(symmetry,[status(thm)],[372])).
% 54.84/55.02 tff(374,plain,
% 54.84/55.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(quant_inst,[status(thm)],[])).
% 54.84/55.02 tff(375,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.02 inference(unit_resolution,[status(thm)],[374, 7])).
% 54.84/55.02 tff(376,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[314])).
% 54.84/55.02 tff(377,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[324])).
% 54.84/55.02 tff(378,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.02 inference(transitivity,[status(thm)],[377, 376, 375])).
% 54.84/55.02 tff(379,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[378])).
% 54.84/55.02 tff(380,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(symmetry,[status(thm)],[379])).
% 54.84/55.02 tff(381,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.02 inference(transitivity,[status(thm)],[380, 373, 370])).
% 54.84/55.02 tff(382,plain,
% 54.84/55.02 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[381])).
% 54.84/55.02 tff(383,plain,
% 54.84/55.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.02 inference(quant_inst,[status(thm)],[])).
% 54.84/55.02 tff(384,plain,
% 54.84/55.02 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(unit_resolution,[status(thm)],[383, 7])).
% 54.84/55.02 tff(385,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(symmetry,[status(thm)],[384])).
% 54.84/55.02 tff(386,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.02 inference(transitivity,[status(thm)],[385, 382])).
% 54.84/55.02 tff(387,plain,
% 54.84/55.02 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.02 inference(monotonicity,[status(thm)],[386])).
% 54.84/55.02 tff(388,plain,
% 54.84/55.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.02 inference(quant_inst,[status(thm)],[])).
% 54.84/55.02 tff(389,plain,
% 54.84/55.02 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.02 inference(unit_resolution,[status(thm)],[388, 7])).
% 54.84/55.02 tff(390,plain,
% 54.84/55.02 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[332])).
% 54.84/55.03 tff(391,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[390])).
% 54.84/55.03 tff(392,plain,
% 54.84/55.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(quant_inst,[status(thm)],[])).
% 54.84/55.03 tff(393,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.03 inference(unit_resolution,[status(thm)],[392, 7])).
% 54.84/55.03 tff(394,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[378])).
% 54.84/55.03 tff(395,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[394])).
% 54.84/55.03 tff(396,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.03 inference(transitivity,[status(thm)],[395, 393, 391])).
% 54.84/55.03 tff(397,plain,
% 54.84/55.03 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[396])).
% 54.84/55.03 tff(398,plain,
% 54.84/55.03 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[397])).
% 54.84/55.03 tff(399,plain,
% 54.84/55.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.03 inference(quant_inst,[status(thm)],[])).
% 54.84/55.03 tff(400,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(unit_resolution,[status(thm)],[399, 7])).
% 54.84/55.03 tff(401,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[334])).
% 54.84/55.03 tff(402,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[401])).
% 54.84/55.03 tff(403,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[317])).
% 54.84/55.03 tff(404,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[403])).
% 54.84/55.03 tff(405,plain,
% 54.84/55.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.03 inference(quant_inst,[status(thm)],[])).
% 54.84/55.03 tff(406,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(unit_resolution,[status(thm)],[405, 7])).
% 54.84/55.03 tff(407,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[406])).
% 54.84/55.03 tff(408,plain,
% 54.84/55.03 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[315])).
% 54.84/55.03 tff(409,plain,
% 54.84/55.03 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[313])).
% 54.84/55.03 tff(410,plain,
% 54.84/55.03 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.03 inference(transitivity,[status(thm)],[409, 408])).
% 54.84/55.03 tff(411,plain,
% 54.84/55.03 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[410])).
% 54.84/55.03 tff(412,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[411])).
% 54.84/55.03 tff(413,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(symmetry,[status(thm)],[412])).
% 54.84/55.03 tff(414,plain,
% 54.84/55.03 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.03 inference(transitivity,[status(thm)],[413, 407, 404, 402, 400, 398])).
% 54.84/55.03 tff(415,plain,
% 54.84/55.03 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[414])).
% 54.84/55.03 tff(416,plain,
% 54.84/55.03 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.03 inference(transitivity,[status(thm)],[415, 389, 387, 367, 352, 349, 274])).
% 54.84/55.03 tff(417,plain,
% 54.84/55.03 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.03 inference(monotonicity,[status(thm)],[416])).
% 54.84/55.03 tff(418,plain,
% 54.84/55.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.84/55.03 inference(quant_inst,[status(thm)],[])).
% 54.84/55.03 tff(419,plain,
% 54.84/55.03 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.03 inference(unit_resolution,[status(thm)],[418, 7])).
% 54.84/55.03 tff(420,plain,
% 54.84/55.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.04 inference(quant_inst,[status(thm)],[])).
% 54.84/55.04 tff(421,plain,
% 54.84/55.04 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.04 inference(unit_resolution,[status(thm)],[420, 7])).
% 54.84/55.04 tff(422,plain,
% 54.84/55.04 (sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))),
% 54.84/55.04 inference(symmetry,[status(thm)],[221])).
% 54.84/55.04 tff(423,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[422])).
% 54.84/55.04 tff(424,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[423])).
% 54.84/55.04 tff(425,plain,
% 54.84/55.04 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[424])).
% 54.84/55.04 tff(426,plain,
% 54.84/55.04 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.04 inference(transitivity,[status(thm)],[425, 421])).
% 54.84/55.04 tff(427,plain,
% 54.84/55.04 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[426])).
% 54.84/55.04 tff(428,plain,
% 54.84/55.04 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[427])).
% 54.84/55.04 tff(429,plain,
% 54.84/55.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.04 inference(quant_inst,[status(thm)],[])).
% 54.84/55.04 tff(430,plain,
% 54.84/55.04 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.04 inference(unit_resolution,[status(thm)],[429, 7])).
% 54.84/55.04 tff(431,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[430])).
% 54.84/55.04 tff(432,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.04 inference(transitivity,[status(thm)],[431, 428])).
% 54.84/55.04 tff(433,plain,
% 54.84/55.04 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[432])).
% 54.84/55.04 tff(434,plain,
% 54.84/55.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.04 inference(quant_inst,[status(thm)],[])).
% 54.84/55.04 tff(435,plain,
% 54.84/55.04 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.04 inference(unit_resolution,[status(thm)],[434, 7])).
% 54.84/55.04 tff(436,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[435])).
% 54.84/55.04 tff(437,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.04 inference(transitivity,[status(thm)],[436, 433])).
% 54.84/55.04 tff(438,plain,
% 54.84/55.04 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[437])).
% 54.84/55.04 tff(439,plain,
% 54.84/55.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.04 inference(quant_inst,[status(thm)],[])).
% 54.84/55.04 tff(440,plain,
% 54.84/55.04 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.04 inference(unit_resolution,[status(thm)],[439, 7])).
% 54.84/55.04 tff(441,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[440])).
% 54.84/55.04 tff(442,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.04 inference(transitivity,[status(thm)],[441, 438])).
% 54.84/55.04 tff(443,plain,
% 54.84/55.04 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[442])).
% 54.84/55.04 tff(444,plain,
% 54.84/55.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.04 inference(quant_inst,[status(thm)],[])).
% 54.84/55.04 tff(445,plain,
% 54.84/55.04 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.04 inference(unit_resolution,[status(thm)],[444, 7])).
% 54.84/55.04 tff(446,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[445])).
% 54.84/55.04 tff(447,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.04 inference(transitivity,[status(thm)],[446, 443])).
% 54.84/55.04 tff(448,plain,
% 54.84/55.04 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[447])).
% 54.84/55.04 tff(449,plain,
% 54.84/55.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.04 inference(quant_inst,[status(thm)],[])).
% 54.84/55.04 tff(450,plain,
% 54.84/55.04 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.04 inference(unit_resolution,[status(thm)],[449, 7])).
% 54.84/55.04 tff(451,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[450])).
% 54.84/55.04 tff(452,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.04 inference(transitivity,[status(thm)],[451, 448])).
% 54.84/55.04 tff(453,plain,
% 54.84/55.04 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.04 inference(monotonicity,[status(thm)],[452])).
% 54.84/55.04 tff(454,plain,
% 54.84/55.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 54.84/55.04 inference(quant_inst,[status(thm)],[])).
% 54.84/55.04 tff(455,plain,
% 54.84/55.04 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.04 inference(unit_resolution,[status(thm)],[454, 7])).
% 54.84/55.04 tff(456,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.04 inference(symmetry,[status(thm)],[455])).
% 54.84/55.04 tff(457,plain,
% 54.84/55.04 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.04 inference(transitivity,[status(thm)],[456, 453, 419, 417])).
% 54.84/55.04 tff(458,plain,
% 54.84/55.04 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.84/55.05 inference(monotonicity,[status(thm)],[457])).
% 54.84/55.05 tff(459,plain,
% 54.84/55.05 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.84/55.05 inference(transitivity,[status(thm)],[458, 272, 269])).
% 54.84/55.05 tff(460,plain,
% 54.84/55.05 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 54.84/55.05 inference(monotonicity,[status(thm)],[459])).
% 54.84/55.05 tff(461,plain,
% 54.84/55.05 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 54.84/55.05 inference(symmetry,[status(thm)],[460])).
% 54.84/55.05 tff(462,plain,
% 54.84/55.05 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 54.84/55.05 inference(rewrite,[status(thm)],[])).
% 54.84/55.05 tff(463,axiom,(heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_8')).
% 54.84/55.05 tff(464,plain,
% 54.84/55.05 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[463, 462])).
% 54.84/55.05 tff(465,plain,
% 54.84/55.05 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[464, 461])).
% 54.84/55.05 tff(466,plain,
% 54.84/55.05 ((~(x9 = x14)) <=> (~(x9 = x14))),
% 54.84/55.05 inference(rewrite,[status(thm)],[])).
% 54.84/55.05 tff(467,axiom,(~(x9 = x14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_6')).
% 54.84/55.05 tff(468,plain,
% 54.84/55.05 (~(x9 = x14)),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[467, 466])).
% 54.84/55.05 tff(469,plain,
% 54.84/55.05 (^[Sigma: $i, Z: $i, Y: $i, X: $i] : refl(((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma))))) <=> ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma))))))),
% 54.84/55.05 inference(bind,[status(th)],[])).
% 54.84/55.05 tff(470,plain,
% 54.84/55.05 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma))))) <=> ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 54.84/55.05 inference(quant_intro,[status(thm)],[469])).
% 54.84/55.05 tff(471,plain,
% 54.84/55.05 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma))))) <=> ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 54.84/55.05 inference(rewrite,[status(thm)],[])).
% 54.84/55.05 tff(472,plain,
% 54.84/55.05 (^[Sigma: $i, Z: $i, Y: $i, X: $i] : rewrite((((~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))) | (X = Y)) | (X = Z)) <=> ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma))))))),
% 54.84/55.05 inference(bind,[status(th)],[])).
% 54.84/55.05 tff(473,plain,
% 54.84/55.05 (![Sigma: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))) | (X = Y)) | (X = Z)) <=> ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 54.84/55.05 inference(quant_intro,[status(thm)],[472])).
% 54.84/55.05 tff(474,axiom,(![Sigma: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))) | (X = Y)) | (X = Z))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','wellformedness_5')).
% 54.84/55.05 tff(475,plain,
% 54.84/55.05 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[474, 473])).
% 54.84/55.05 tff(476,plain,
% 54.84/55.05 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[475, 471])).
% 54.84/55.05 tff(477,plain,(
% 54.84/55.05 ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 54.84/55.05 inference(skolemize,[status(sab)],[476])).
% 54.84/55.05 tff(478,plain,
% 54.84/55.05 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[477, 470])).
% 54.84/55.05 tff(479,plain,
% 54.84/55.05 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x14) | (x9 = x1) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x9 = x14) | (x9 = x1) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 54.84/55.05 inference(rewrite,[status(thm)],[])).
% 54.84/55.05 tff(480,plain,
% 54.84/55.05 (((x9 = x1) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))) <=> ((x9 = x14) | (x9 = x1) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 54.84/55.05 inference(rewrite,[status(thm)],[])).
% 54.84/55.05 tff(481,plain,
% 54.84/55.05 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x1) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x14) | (x9 = x1) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))))),
% 54.84/55.05 inference(monotonicity,[status(thm)],[480])).
% 54.84/55.05 tff(482,plain,
% 54.84/55.05 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x1) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x9 = x14) | (x9 = x1) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 54.84/55.05 inference(transitivity,[status(thm)],[481, 479])).
% 54.84/55.05 tff(483,plain,
% 54.84/55.05 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x1) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 54.84/55.05 inference(quant_inst,[status(thm)],[])).
% 54.84/55.05 tff(484,plain,
% 54.84/55.05 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x9 = x14) | (x9 = x1) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[483, 482])).
% 54.84/55.05 tff(485,plain,
% 54.84/55.05 ((x9 = x1) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 54.84/55.05 inference(unit_resolution,[status(thm)],[484, 478, 468])).
% 54.84/55.05 tff(486,plain,
% 54.84/55.05 (x9 = x1),
% 54.84/55.05 inference(unit_resolution,[status(thm)],[485, 465])).
% 54.84/55.05 tff(487,plain,
% 54.84/55.05 (x1 = x9),
% 54.84/55.05 inference(symmetry,[status(thm)],[486])).
% 54.84/55.05 tff(488,plain,
% 54.84/55.05 (lseg(x1, x1) = lseg(x9, x1)),
% 54.84/55.05 inference(monotonicity,[status(thm)],[487])).
% 54.84/55.05 tff(489,plain,
% 54.84/55.05 (sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.05 inference(monotonicity,[status(thm)],[488, 245])).
% 54.84/55.05 tff(490,plain,
% 54.84/55.05 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.05 inference(symmetry,[status(thm)],[244])).
% 54.84/55.05 tff(491,plain,
% 54.84/55.05 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.05 inference(symmetry,[status(thm)],[238])).
% 54.84/55.05 tff(492,plain,
% 54.84/55.05 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.05 inference(transitivity,[status(thm)],[491, 240, 490])).
% 54.84/55.05 tff(493,plain,
% 54.84/55.05 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.05 inference(monotonicity,[status(thm)],[492])).
% 54.84/55.05 tff(494,plain,
% 54.84/55.05 (^[Sigma: $i, X: $i] : refl((sep(lseg(X, X), Sigma) = Sigma) <=> (sep(lseg(X, X), Sigma) = Sigma))),
% 54.84/55.05 inference(bind,[status(th)],[])).
% 54.84/55.05 tff(495,plain,
% 54.84/55.05 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 54.84/55.05 inference(quant_intro,[status(thm)],[494])).
% 54.84/55.05 tff(496,plain,
% 54.84/55.05 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 54.84/55.05 inference(rewrite,[status(thm)],[])).
% 54.84/55.05 tff(497,axiom,(![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','normalization')).
% 54.84/55.05 tff(498,plain,
% 54.84/55.05 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[497, 496])).
% 54.84/55.05 tff(499,plain,(
% 54.84/55.05 ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 54.84/55.05 inference(skolemize,[status(sab)],[498])).
% 54.84/55.05 tff(500,plain,
% 54.84/55.05 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 54.84/55.05 inference(modus_ponens,[status(thm)],[499, 495])).
% 54.84/55.05 tff(501,plain,
% 54.84/55.05 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.05 inference(quant_inst,[status(thm)],[])).
% 54.84/55.05 tff(502,plain,
% 54.84/55.05 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.05 inference(unit_resolution,[status(thm)],[501, 500])).
% 54.84/55.05 tff(503,plain,
% 54.84/55.05 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.05 inference(symmetry,[status(thm)],[502])).
% 54.84/55.05 tff(504,plain,
% 54.84/55.05 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.05 inference(monotonicity,[status(thm)],[228])).
% 54.84/55.05 tff(505,plain,
% 54.84/55.05 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[504])).
% 54.84/55.06 tff(506,plain,
% 54.84/55.06 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[222])).
% 54.84/55.06 tff(507,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(508,plain,
% 54.84/55.06 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[507, 7])).
% 54.84/55.06 tff(509,plain,
% 54.84/55.06 (sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[508])).
% 54.84/55.06 tff(510,plain,
% 54.84/55.06 (sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.84/55.06 inference(transitivity,[status(thm)],[509, 506])).
% 54.84/55.06 tff(511,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[510])).
% 54.84/55.06 tff(512,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[511])).
% 54.84/55.06 tff(513,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[512])).
% 54.84/55.06 tff(514,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[513])).
% 54.84/55.06 tff(515,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(516,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[515, 7])).
% 54.84/55.06 tff(517,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[516])).
% 54.84/55.06 tff(518,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[510])).
% 54.84/55.06 tff(519,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[518])).
% 54.84/55.06 tff(520,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[519])).
% 54.84/55.06 tff(521,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(transitivity,[status(thm)],[520, 517, 514, 505])).
% 54.84/55.06 tff(522,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[521])).
% 54.84/55.06 tff(523,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[222])).
% 54.84/55.06 tff(524,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[523])).
% 54.84/55.06 tff(525,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(526,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[525, 7])).
% 54.84/55.06 tff(527,plain,
% 54.84/55.06 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[526])).
% 54.84/55.06 tff(528,plain,
% 54.84/55.06 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(transitivity,[status(thm)],[527, 524])).
% 54.84/55.06 tff(529,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[528])).
% 54.84/55.06 tff(530,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[529])).
% 54.84/55.06 tff(531,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(532,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[531, 7])).
% 54.84/55.06 tff(533,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[532])).
% 54.84/55.06 tff(534,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[528])).
% 54.84/55.06 tff(535,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[534])).
% 54.84/55.06 tff(536,plain,
% 54.84/55.06 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[535])).
% 54.84/55.06 tff(537,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[518])).
% 54.84/55.06 tff(538,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[537])).
% 54.84/55.06 tff(539,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[538])).
% 54.84/55.06 tff(540,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(541,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[540, 7])).
% 54.84/55.06 tff(542,plain,
% 54.84/55.06 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[541])).
% 54.84/55.06 tff(543,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(544,plain,
% 54.84/55.06 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[543, 7])).
% 54.84/55.06 tff(545,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x11, x13), sep(lseg(x11, x3), emp)) = sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(546,plain,
% 54.84/55.06 (sep(lseg(x11, x13), sep(lseg(x11, x3), emp)) = sep(lseg(x11, x3), sep(lseg(x11, x13), emp))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[545, 7])).
% 54.84/55.06 tff(547,plain,
% 54.84/55.06 (sep(lseg(x11, x3), sep(lseg(x11, x13), emp)) = sep(lseg(x11, x13), sep(lseg(x11, x3), emp))),
% 54.84/55.06 inference(symmetry,[status(thm)],[546])).
% 54.84/55.06 tff(548,plain,
% 54.84/55.06 (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[547])).
% 54.84/55.06 tff(549,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(550,plain,
% 54.84/55.06 (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[549, 7])).
% 54.84/55.06 tff(551,plain,
% 54.84/55.06 (sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))),
% 54.84/55.06 inference(symmetry,[status(thm)],[550])).
% 54.84/55.06 tff(552,plain,
% 54.84/55.06 (sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))),
% 54.84/55.06 inference(transitivity,[status(thm)],[551, 548])).
% 54.84/55.06 tff(553,plain,
% 54.84/55.06 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[552])).
% 54.84/55.06 tff(554,plain,
% 54.84/55.06 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[553])).
% 54.84/55.06 tff(555,plain,
% 54.84/55.06 (sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 54.84/55.06 inference(transitivity,[status(thm)],[509, 506, 554, 544])).
% 54.84/55.06 tff(556,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 54.84/55.06 inference(monotonicity,[status(thm)],[555])).
% 54.84/55.06 tff(557,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[556])).
% 54.84/55.06 tff(558,plain,
% 54.84/55.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 54.84/55.06 inference(quant_inst,[status(thm)],[])).
% 54.84/55.06 tff(559,plain,
% 54.84/55.06 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 54.84/55.06 inference(unit_resolution,[status(thm)],[558, 7])).
% 54.84/55.06 tff(560,plain,
% 54.84/55.06 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 54.84/55.06 inference(symmetry,[status(thm)],[559])).
% 54.84/55.06 tff(561,plain,
% 54.84/55.06 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 54.84/55.07 inference(transitivity,[status(thm)],[560, 557])).
% 54.84/55.07 tff(562,plain,
% 54.84/55.07 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 54.84/55.07 inference(monotonicity,[status(thm)],[561])).
% 54.84/55.07 tff(563,plain,
% 54.84/55.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 54.84/55.07 inference(quant_inst,[status(thm)],[])).
% 54.84/55.07 tff(564,plain,
% 54.84/55.07 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 54.84/55.07 inference(unit_resolution,[status(thm)],[563, 7])).
% 54.84/55.07 tff(565,plain,
% 54.84/55.07 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[564])).
% 54.84/55.07 tff(566,plain,
% 54.84/55.07 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.84/55.07 inference(transitivity,[status(thm)],[565, 562, 542, 539])).
% 54.84/55.07 tff(567,plain,
% 54.84/55.07 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.07 inference(monotonicity,[status(thm)],[566])).
% 54.84/55.07 tff(568,plain,
% 54.84/55.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 54.84/55.07 inference(quant_inst,[status(thm)],[])).
% 54.84/55.07 tff(569,plain,
% 54.84/55.07 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 54.84/55.07 inference(unit_resolution,[status(thm)],[568, 7])).
% 54.84/55.07 tff(570,plain,
% 54.84/55.07 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[569])).
% 54.84/55.07 tff(571,plain,
% 54.84/55.07 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.84/55.07 inference(transitivity,[status(thm)],[570, 567, 536, 533, 530, 522, 235, 232])).
% 54.84/55.07 tff(572,plain,
% 54.84/55.07 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.07 inference(monotonicity,[status(thm)],[571])).
% 54.84/55.07 tff(573,plain,
% 54.84/55.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 54.84/55.07 inference(quant_inst,[status(thm)],[])).
% 54.84/55.07 tff(574,plain,
% 54.84/55.07 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 54.84/55.07 inference(unit_resolution,[status(thm)],[573, 7])).
% 54.84/55.07 tff(575,plain,
% 54.84/55.07 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[574])).
% 54.84/55.07 tff(576,plain,
% 54.84/55.07 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.07 inference(transitivity,[status(thm)],[575, 572])).
% 54.84/55.07 tff(577,plain,
% 54.84/55.07 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(monotonicity,[status(thm)],[576])).
% 54.84/55.07 tff(578,plain,
% 54.84/55.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 54.84/55.07 inference(quant_inst,[status(thm)],[])).
% 54.84/55.07 tff(579,plain,
% 54.84/55.07 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 54.84/55.07 inference(unit_resolution,[status(thm)],[578, 7])).
% 54.84/55.07 tff(580,plain,
% 54.84/55.07 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[579])).
% 54.84/55.07 tff(581,assumption,(~(x13 = x12)), introduced(assumption)).
% 54.84/55.07 tff(582,plain,
% 54.84/55.07 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.07 inference(monotonicity,[status(thm)],[274])).
% 54.84/55.07 tff(583,plain,
% 54.84/55.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.84/55.07 inference(quant_inst,[status(thm)],[])).
% 54.84/55.07 tff(584,plain,
% 54.84/55.07 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.07 inference(unit_resolution,[status(thm)],[583, 7])).
% 54.84/55.07 tff(585,plain,
% 54.84/55.07 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[347])).
% 54.84/55.07 tff(586,plain,
% 54.84/55.07 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[335])).
% 54.84/55.07 tff(587,plain,
% 54.84/55.07 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[319])).
% 54.84/55.07 tff(588,plain,
% 54.84/55.07 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[306])).
% 54.84/55.07 tff(589,plain,
% 54.84/55.07 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[301])).
% 54.84/55.07 tff(590,plain,
% 54.84/55.07 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[298])).
% 54.84/55.07 tff(591,plain,
% 54.84/55.07 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[296])).
% 54.84/55.07 tff(592,plain,
% 54.84/55.07 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.07 inference(transitivity,[status(thm)],[591, 590, 589, 588, 308, 587, 586, 337, 585])).
% 54.84/55.07 tff(593,plain,
% 54.84/55.07 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.07 inference(monotonicity,[status(thm)],[592])).
% 54.84/55.07 tff(594,plain,
% 54.84/55.07 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.07 inference(symmetry,[status(thm)],[593])).
% 54.84/55.07 tff(595,plain,
% 54.84/55.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.84/55.08 inference(quant_inst,[status(thm)],[])).
% 54.84/55.08 tff(596,plain,
% 54.84/55.08 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.08 inference(unit_resolution,[status(thm)],[595, 7])).
% 54.84/55.08 tff(597,plain,
% 54.84/55.08 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.84/55.08 inference(monotonicity,[status(thm)],[356])).
% 54.84/55.08 tff(598,plain,
% 54.84/55.08 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.84/55.08 inference(monotonicity,[status(thm)],[597])).
% 54.84/55.08 tff(599,plain,
% 54.84/55.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.84/55.08 inference(quant_inst,[status(thm)],[])).
% 54.84/55.08 tff(600,plain,
% 54.84/55.08 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(unit_resolution,[status(thm)],[599, 7])).
% 54.92/55.08 tff(601,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(symmetry,[status(thm)],[600])).
% 54.92/55.08 tff(602,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(monotonicity,[status(thm)],[358])).
% 54.92/55.08 tff(603,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(transitivity,[status(thm)],[602, 601, 598])).
% 54.92/55.08 tff(604,plain,
% 54.92/55.08 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.08 inference(monotonicity,[status(thm)],[603])).
% 54.92/55.08 tff(605,plain,
% 54.92/55.08 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.08 inference(symmetry,[status(thm)],[604])).
% 54.92/55.08 tff(606,plain,
% 54.92/55.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.08 inference(quant_inst,[status(thm)],[])).
% 54.92/55.08 tff(607,plain,
% 54.92/55.08 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.08 inference(unit_resolution,[status(thm)],[606, 7])).
% 54.92/55.08 tff(608,plain,
% 54.92/55.08 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.08 inference(symmetry,[status(thm)],[607])).
% 54.92/55.08 tff(609,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(monotonicity,[status(thm)],[295])).
% 54.92/55.08 tff(610,plain,
% 54.92/55.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.08 inference(quant_inst,[status(thm)],[])).
% 54.92/55.08 tff(611,plain,
% 54.92/55.08 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(unit_resolution,[status(thm)],[610, 7])).
% 54.92/55.08 tff(612,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(monotonicity,[status(thm)],[293])).
% 54.92/55.08 tff(613,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(symmetry,[status(thm)],[612])).
% 54.92/55.08 tff(614,plain,
% 54.92/55.08 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(monotonicity,[status(thm)],[613])).
% 54.92/55.08 tff(615,plain,
% 54.92/55.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(quant_inst,[status(thm)],[])).
% 54.92/55.08 tff(616,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(unit_resolution,[status(thm)],[615, 7])).
% 54.92/55.08 tff(617,plain,
% 54.92/55.08 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(symmetry,[status(thm)],[616])).
% 54.92/55.08 tff(618,plain,
% 54.92/55.08 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(monotonicity,[status(thm)],[617])).
% 54.92/55.08 tff(619,plain,
% 54.92/55.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.08 inference(quant_inst,[status(thm)],[])).
% 54.92/55.08 tff(620,plain,
% 54.92/55.08 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(unit_resolution,[status(thm)],[619, 7])).
% 54.92/55.08 tff(621,plain,
% 54.92/55.08 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(symmetry,[status(thm)],[620])).
% 54.92/55.08 tff(622,plain,
% 54.92/55.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.08 inference(quant_inst,[status(thm)],[])).
% 54.92/55.08 tff(623,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(unit_resolution,[status(thm)],[622, 7])).
% 54.92/55.08 tff(624,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(monotonicity,[status(thm)],[283])).
% 54.92/55.08 tff(625,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(symmetry,[status(thm)],[624])).
% 54.92/55.08 tff(626,plain,
% 54.92/55.08 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.08 inference(transitivity,[status(thm)],[625, 623])).
% 54.92/55.08 tff(627,plain,
% 54.92/55.08 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[626])).
% 54.92/55.09 tff(628,plain,
% 54.92/55.09 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(transitivity,[status(thm)],[627, 621, 618, 614, 611, 609])).
% 54.92/55.09 tff(629,plain,
% 54.92/55.09 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[628])).
% 54.92/55.09 tff(630,plain,
% 54.92/55.09 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.09 inference(symmetry,[status(thm)],[629])).
% 54.92/55.09 tff(631,plain,
% 54.92/55.09 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.09 inference(transitivity,[status(thm)],[630, 608, 605, 596, 594])).
% 54.92/55.09 tff(632,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[631])).
% 54.92/55.09 tff(633,plain,
% 54.92/55.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.09 inference(quant_inst,[status(thm)],[])).
% 54.92/55.09 tff(634,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.09 inference(unit_resolution,[status(thm)],[633, 7])).
% 54.92/55.09 tff(635,plain,
% 54.92/55.09 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.09 inference(symmetry,[status(thm)],[634])).
% 54.92/55.09 tff(636,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[628])).
% 54.92/55.09 tff(637,plain,
% 54.92/55.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.09 inference(quant_inst,[status(thm)],[])).
% 54.92/55.09 tff(638,plain,
% 54.92/55.09 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.09 inference(unit_resolution,[status(thm)],[637, 7])).
% 54.92/55.09 tff(639,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[626])).
% 54.92/55.09 tff(640,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(symmetry,[status(thm)],[639])).
% 54.92/55.09 tff(641,plain,
% 54.92/55.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.09 inference(quant_inst,[status(thm)],[])).
% 54.92/55.09 tff(642,plain,
% 54.92/55.09 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(unit_resolution,[status(thm)],[641, 7])).
% 54.92/55.09 tff(643,plain,
% 54.92/55.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(quant_inst,[status(thm)],[])).
% 54.92/55.09 tff(644,plain,
% 54.92/55.09 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.09 inference(unit_resolution,[status(thm)],[643, 7])).
% 54.92/55.09 tff(645,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.09 inference(symmetry,[status(thm)],[644])).
% 54.92/55.09 tff(646,plain,
% 54.92/55.09 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[645])).
% 54.92/55.09 tff(647,plain,
% 54.92/55.09 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(symmetry,[status(thm)],[646])).
% 54.92/55.09 tff(648,plain,
% 54.92/55.09 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.09 inference(transitivity,[status(thm)],[647, 642, 640])).
% 54.92/55.09 tff(649,plain,
% 54.92/55.09 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[648])).
% 54.92/55.09 tff(650,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.09 inference(monotonicity,[status(thm)],[281])).
% 54.92/55.09 tff(651,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.09 inference(symmetry,[status(thm)],[650])).
% 54.92/55.09 tff(652,plain,
% 54.92/55.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.09 inference(quant_inst,[status(thm)],[])).
% 54.92/55.09 tff(653,plain,
% 54.92/55.09 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.09 inference(unit_resolution,[status(thm)],[652, 7])).
% 54.92/55.09 tff(654,plain,
% 54.92/55.09 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[653])).
% 54.92/55.10 tff(655,plain,
% 54.92/55.10 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.10 inference(transitivity,[status(thm)],[654, 651])).
% 54.92/55.10 tff(656,plain,
% 54.92/55.10 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[655])).
% 54.92/55.10 tff(657,plain,
% 54.92/55.10 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[656])).
% 54.92/55.10 tff(658,plain,
% 54.92/55.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.10 inference(quant_inst,[status(thm)],[])).
% 54.92/55.10 tff(659,plain,
% 54.92/55.10 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(unit_resolution,[status(thm)],[658, 7])).
% 54.92/55.10 tff(660,plain,
% 54.92/55.10 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[659])).
% 54.92/55.10 tff(661,plain,
% 54.92/55.10 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[655])).
% 54.92/55.10 tff(662,plain,
% 54.92/55.10 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[661])).
% 54.92/55.10 tff(663,plain,
% 54.92/55.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(quant_inst,[status(thm)],[])).
% 54.92/55.10 tff(664,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(unit_resolution,[status(thm)],[663, 7])).
% 54.92/55.10 tff(665,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[283])).
% 54.92/55.10 tff(666,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[665])).
% 54.92/55.10 tff(667,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(transitivity,[status(thm)],[666, 664, 662])).
% 54.92/55.10 tff(668,plain,
% 54.92/55.10 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[667])).
% 54.92/55.10 tff(669,plain,
% 54.92/55.10 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(transitivity,[status(thm)],[668, 660, 657])).
% 54.92/55.10 tff(670,plain,
% 54.92/55.10 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[669])).
% 54.92/55.10 tff(671,plain,
% 54.92/55.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.10 inference(quant_inst,[status(thm)],[])).
% 54.92/55.10 tff(672,plain,
% 54.92/55.10 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.10 inference(unit_resolution,[status(thm)],[671, 7])).
% 54.92/55.10 tff(673,plain,
% 54.92/55.10 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[672])).
% 54.92/55.10 tff(674,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[363])).
% 54.92/55.10 tff(675,plain,
% 54.92/55.10 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[674])).
% 54.92/55.10 tff(676,plain,
% 54.92/55.10 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[675])).
% 54.92/55.10 tff(677,plain,
% 54.92/55.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.10 inference(quant_inst,[status(thm)],[])).
% 54.92/55.10 tff(678,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(unit_resolution,[status(thm)],[677, 7])).
% 54.92/55.10 tff(679,plain,
% 54.92/55.10 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[356])).
% 54.92/55.10 tff(680,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[679])).
% 54.92/55.10 tff(681,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[680])).
% 54.92/55.10 tff(682,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(transitivity,[status(thm)],[681, 678, 676])).
% 54.92/55.10 tff(683,plain,
% 54.92/55.10 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[682])).
% 54.92/55.10 tff(684,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[295])).
% 54.92/55.10 tff(685,plain,
% 54.92/55.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.10 inference(quant_inst,[status(thm)],[])).
% 54.92/55.10 tff(686,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(unit_resolution,[status(thm)],[685, 7])).
% 54.92/55.10 tff(687,plain,
% 54.92/55.10 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.10 inference(symmetry,[status(thm)],[686])).
% 54.92/55.10 tff(688,plain,
% 54.92/55.10 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.10 inference(monotonicity,[status(thm)],[293])).
% 54.92/55.10 tff(689,plain,
% 54.92/55.11 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[688])).
% 54.92/55.11 tff(690,plain,
% 54.92/55.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(quant_inst,[status(thm)],[])).
% 54.92/55.11 tff(691,plain,
% 54.92/55.11 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.11 inference(unit_resolution,[status(thm)],[690, 7])).
% 54.92/55.11 tff(692,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[691])).
% 54.92/55.11 tff(693,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.11 inference(transitivity,[status(thm)],[692, 689])).
% 54.92/55.11 tff(694,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[693])).
% 54.92/55.11 tff(695,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(transitivity,[status(thm)],[694, 687, 684])).
% 54.92/55.11 tff(696,plain,
% 54.92/55.11 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[695])).
% 54.92/55.11 tff(697,plain,
% 54.92/55.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.11 inference(quant_inst,[status(thm)],[])).
% 54.92/55.11 tff(698,plain,
% 54.92/55.11 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.11 inference(unit_resolution,[status(thm)],[697, 7])).
% 54.92/55.11 tff(699,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[698])).
% 54.92/55.11 tff(700,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[655])).
% 54.92/55.11 tff(701,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[700])).
% 54.92/55.11 tff(702,plain,
% 54.92/55.11 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[701])).
% 54.92/55.11 tff(703,plain,
% 54.92/55.11 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[702])).
% 54.92/55.11 tff(704,plain,
% 54.92/55.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.11 inference(quant_inst,[status(thm)],[])).
% 54.92/55.11 tff(705,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(unit_resolution,[status(thm)],[704, 7])).
% 54.92/55.11 tff(706,plain,
% 54.92/55.11 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[656])).
% 54.92/55.11 tff(707,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[706])).
% 54.92/55.11 tff(708,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(transitivity,[status(thm)],[707, 705, 703])).
% 54.92/55.11 tff(709,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[708])).
% 54.92/55.11 tff(710,plain,
% 54.92/55.11 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[707])).
% 54.92/55.11 tff(711,plain,
% 54.92/55.11 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(symmetry,[status(thm)],[705])).
% 54.92/55.11 tff(712,plain,
% 54.92/55.11 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.11 inference(transitivity,[status(thm)],[711, 710])).
% 54.92/55.11 tff(713,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[712])).
% 54.92/55.11 tff(714,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.11 inference(transitivity,[status(thm)],[713, 709, 699, 696, 683, 673, 670, 649, 638, 636])).
% 54.92/55.11 tff(715,plain,
% 54.92/55.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))) = sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))),
% 54.92/55.11 inference(quant_inst,[status(thm)],[])).
% 54.92/55.11 tff(716,plain,
% 54.92/55.11 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))) = sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))),
% 54.92/55.11 inference(unit_resolution,[status(thm)],[715, 7])).
% 54.92/55.11 tff(717,plain,
% 54.92/55.11 (sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))),
% 54.92/55.11 inference(symmetry,[status(thm)],[716])).
% 54.92/55.11 tff(718,plain,
% 54.92/55.11 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[717])).
% 54.92/55.11 tff(719,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.92/55.11 inference(monotonicity,[status(thm)],[718])).
% 54.92/55.11 tff(720,plain,
% 54.92/55.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 54.92/55.11 inference(quant_inst,[status(thm)],[])).
% 54.92/55.11 tff(721,plain,
% 54.92/55.11 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 54.92/55.12 inference(unit_resolution,[status(thm)],[720, 7])).
% 54.92/55.12 tff(722,plain,
% 54.92/55.12 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[721])).
% 54.92/55.12 tff(723,plain,
% 54.92/55.12 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.92/55.12 inference(transitivity,[status(thm)],[722, 719])).
% 54.92/55.12 tff(724,plain,
% 54.92/55.12 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[723])).
% 54.92/55.12 tff(725,plain,
% 54.92/55.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.12 inference(quant_inst,[status(thm)],[])).
% 54.92/55.12 tff(726,plain,
% 54.92/55.12 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 54.92/55.12 inference(unit_resolution,[status(thm)],[725, 7])).
% 54.92/55.12 tff(727,plain,
% 54.92/55.12 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[726])).
% 54.92/55.12 tff(728,plain,
% 54.92/55.12 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.12 inference(transitivity,[status(thm)],[727, 724])).
% 54.92/55.12 tff(729,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[728])).
% 54.92/55.12 tff(730,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[729])).
% 54.92/55.12 tff(731,plain,
% 54.92/55.12 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[730])).
% 54.92/55.12 tff(732,plain,
% 54.92/55.12 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[731])).
% 54.92/55.12 tff(733,plain,
% 54.92/55.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.12 inference(quant_inst,[status(thm)],[])).
% 54.92/55.12 tff(734,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(unit_resolution,[status(thm)],[733, 7])).
% 54.92/55.12 tff(735,plain,
% 54.92/55.12 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[728])).
% 54.92/55.12 tff(736,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[735])).
% 54.92/55.12 tff(737,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[736])).
% 54.92/55.12 tff(738,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(transitivity,[status(thm)],[737, 734, 732])).
% 54.92/55.12 tff(739,plain,
% 54.92/55.12 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[738])).
% 54.92/55.12 tff(740,plain,
% 54.92/55.12 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[739])).
% 54.92/55.12 tff(741,plain,
% 54.92/55.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.12 inference(quant_inst,[status(thm)],[])).
% 54.92/55.12 tff(742,plain,
% 54.92/55.12 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.12 inference(unit_resolution,[status(thm)],[741, 7])).
% 54.92/55.12 tff(743,plain,
% 54.92/55.12 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[728])).
% 54.92/55.12 tff(744,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[743])).
% 54.92/55.12 tff(745,plain,
% 54.92/55.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.12 inference(quant_inst,[status(thm)],[])).
% 54.92/55.12 tff(746,plain,
% 54.92/55.12 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(unit_resolution,[status(thm)],[745, 7])).
% 54.92/55.12 tff(747,plain,
% 54.92/55.12 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[746])).
% 54.92/55.12 tff(748,plain,
% 54.92/55.12 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[730])).
% 54.92/55.12 tff(749,plain,
% 54.92/55.12 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.12 inference(transitivity,[status(thm)],[748, 747, 744])).
% 54.92/55.12 tff(750,plain,
% 54.92/55.12 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.12 inference(monotonicity,[status(thm)],[749])).
% 54.92/55.12 tff(751,plain,
% 54.92/55.12 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.12 inference(symmetry,[status(thm)],[750])).
% 54.92/55.12 tff(752,plain,
% 54.92/55.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(753,plain,
% 54.92/55.13 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.13 inference(unit_resolution,[status(thm)],[752, 7])).
% 54.92/55.13 tff(754,plain,
% 54.92/55.13 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[753])).
% 54.92/55.13 tff(755,plain,
% 54.92/55.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(756,plain,
% 54.92/55.13 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.13 inference(unit_resolution,[status(thm)],[755, 7])).
% 54.92/55.13 tff(757,plain,
% 54.92/55.13 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[756])).
% 54.92/55.13 tff(758,plain,
% 54.92/55.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(759,plain,
% 54.92/55.13 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.13 inference(unit_resolution,[status(thm)],[758, 7])).
% 54.92/55.13 tff(760,plain,
% 54.92/55.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(761,plain,
% 54.92/55.13 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 54.92/55.13 inference(unit_resolution,[status(thm)],[760, 7])).
% 54.92/55.13 tff(762,plain,
% 54.92/55.13 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[547])).
% 54.92/55.13 tff(763,plain,
% 54.92/55.13 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))),
% 54.92/55.13 inference(symmetry,[status(thm)],[762])).
% 54.92/55.13 tff(764,plain,
% 54.92/55.13 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[763])).
% 54.92/55.13 tff(765,plain,
% 54.92/55.13 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 54.92/55.13 inference(transitivity,[status(thm)],[764, 761])).
% 54.92/55.13 tff(766,plain,
% 54.92/55.13 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[765])).
% 54.92/55.13 tff(767,plain,
% 54.92/55.13 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[766])).
% 54.92/55.13 tff(768,plain,
% 54.92/55.13 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[767])).
% 54.92/55.13 tff(769,plain,
% 54.92/55.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(770,plain,
% 54.92/55.13 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.13 inference(unit_resolution,[status(thm)],[769, 7])).
% 54.92/55.13 tff(771,plain,
% 54.92/55.13 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[770])).
% 54.92/55.13 tff(772,plain,
% 54.92/55.13 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[764])).
% 54.92/55.13 tff(773,plain,
% 54.92/55.13 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[761])).
% 54.92/55.13 tff(774,plain,
% 54.92/55.13 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 54.92/55.13 inference(transitivity,[status(thm)],[773, 772])).
% 54.92/55.13 tff(775,plain,
% 54.92/55.13 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[774])).
% 54.92/55.13 tff(776,plain,
% 54.92/55.13 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[775])).
% 54.92/55.13 tff(777,plain,
% 54.92/55.13 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[776])).
% 54.92/55.13 tff(778,plain,
% 54.92/55.13 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.13 inference(transitivity,[status(thm)],[777, 771, 768])).
% 54.92/55.13 tff(779,plain,
% 54.92/55.13 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[778])).
% 54.92/55.13 tff(780,plain,
% 54.92/55.13 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[779])).
% 54.92/55.13 tff(781,plain,
% 54.92/55.13 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.13 inference(transitivity,[status(thm)],[780, 759])).
% 54.92/55.13 tff(782,plain,
% 54.92/55.13 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[781])).
% 54.92/55.13 tff(783,plain,
% 54.92/55.13 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.13 inference(transitivity,[status(thm)],[782, 757])).
% 54.92/55.13 tff(784,plain,
% 54.92/55.13 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[783])).
% 54.92/55.13 tff(785,plain,
% 54.92/55.13 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[784])).
% 54.92/55.13 tff(786,plain,
% 54.92/55.13 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.13 inference(transitivity,[status(thm)],[785, 754, 751, 742, 740])).
% 54.92/55.13 tff(787,plain,
% 54.92/55.13 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[786])).
% 54.92/55.13 tff(788,plain,
% 54.92/55.13 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[787])).
% 54.92/55.13 tff(789,plain,
% 54.92/55.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(790,plain,
% 54.92/55.13 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.13 inference(unit_resolution,[status(thm)],[789, 7])).
% 54.92/55.13 tff(791,plain,
% 54.92/55.13 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.13 inference(symmetry,[status(thm)],[790])).
% 54.92/55.13 tff(792,plain,
% 54.92/55.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(793,plain,
% 54.92/55.13 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.13 inference(unit_resolution,[status(thm)],[792, 7])).
% 54.92/55.13 tff(794,plain,
% 54.92/55.13 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.13 inference(monotonicity,[status(thm)],[778])).
% 54.92/55.13 tff(795,plain,
% 54.92/55.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.13 inference(quant_inst,[status(thm)],[])).
% 54.92/55.13 tff(796,plain,
% 54.92/55.13 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[795, 7])).
% 54.92/55.14 tff(797,plain,
% 54.92/55.14 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[796])).
% 54.92/55.14 tff(798,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[776])).
% 54.92/55.14 tff(799,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[798])).
% 54.92/55.14 tff(800,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(quant_inst,[status(thm)],[])).
% 54.92/55.14 tff(801,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[800, 7])).
% 54.92/55.14 tff(802,plain,
% 54.92/55.14 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[801])).
% 54.92/55.14 tff(803,plain,
% 54.92/55.14 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.14 inference(transitivity,[status(thm)],[802, 799])).
% 54.92/55.14 tff(804,plain,
% 54.92/55.14 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[803])).
% 54.92/55.14 tff(805,plain,
% 54.92/55.14 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(transitivity,[status(thm)],[804, 797, 794])).
% 54.92/55.14 tff(806,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[805])).
% 54.92/55.14 tff(807,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 54.92/55.14 inference(quant_inst,[status(thm)],[])).
% 54.92/55.14 tff(808,plain,
% 54.92/55.14 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[807, 7])).
% 54.92/55.14 tff(809,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[803])).
% 54.92/55.14 tff(810,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[809])).
% 54.92/55.14 tff(811,plain,
% 54.92/55.14 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[810])).
% 54.92/55.14 tff(812,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.14 inference(quant_inst,[status(thm)],[])).
% 54.92/55.14 tff(813,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[812, 7])).
% 54.92/55.14 tff(814,plain,
% 54.92/55.14 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[813])).
% 54.92/55.14 tff(815,plain,
% 54.92/55.14 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(transitivity,[status(thm)],[814, 809])).
% 54.92/55.14 tff(816,plain,
% 54.92/55.14 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[815])).
% 54.92/55.14 tff(817,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 54.92/55.14 inference(quant_inst,[status(thm)],[])).
% 54.92/55.14 tff(818,plain,
% 54.92/55.14 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[817, 7])).
% 54.92/55.14 tff(819,plain,
% 54.92/55.14 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[818])).
% 54.92/55.14 tff(820,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.14 inference(quant_inst,[status(thm)],[])).
% 54.92/55.14 tff(821,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[820, 7])).
% 54.92/55.14 tff(822,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(quant_inst,[status(thm)],[])).
% 54.92/55.14 tff(823,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[822, 7])).
% 54.92/55.14 tff(824,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[766])).
% 54.92/55.14 tff(825,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.14 inference(transitivity,[status(thm)],[824, 823])).
% 54.92/55.14 tff(826,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[825])).
% 54.92/55.14 tff(827,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.14 inference(transitivity,[status(thm)],[826, 821])).
% 54.92/55.14 tff(828,plain,
% 54.92/55.14 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[827])).
% 54.92/55.14 tff(829,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[723])).
% 54.92/55.14 tff(830,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[829])).
% 54.92/55.14 tff(831,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.14 inference(quant_inst,[status(thm)],[])).
% 54.92/55.14 tff(832,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(unit_resolution,[status(thm)],[831, 7])).
% 54.92/55.14 tff(833,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[832])).
% 54.92/55.14 tff(834,plain,
% 54.92/55.14 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 54.92/55.14 inference(transitivity,[status(thm)],[722, 719, 766])).
% 54.92/55.14 tff(835,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[834])).
% 54.92/55.14 tff(836,plain,
% 54.92/55.14 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 54.92/55.14 inference(symmetry,[status(thm)],[835])).
% 54.92/55.14 tff(837,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[836])).
% 54.92/55.14 tff(838,plain,
% 54.92/55.14 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.14 inference(transitivity,[status(thm)],[837, 833, 830])).
% 54.92/55.14 tff(839,plain,
% 54.92/55.14 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.14 inference(monotonicity,[status(thm)],[838])).
% 54.92/55.14 tff(840,plain,
% 54.92/55.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 54.92/55.15 inference(quant_inst,[status(thm)],[])).
% 54.92/55.15 tff(841,plain,
% 54.92/55.15 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.15 inference(unit_resolution,[status(thm)],[840, 7])).
% 54.92/55.15 tff(842,plain,
% 54.92/55.15 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[841])).
% 54.92/55.15 tff(843,plain,
% 54.92/55.15 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[836])).
% 54.92/55.15 tff(844,plain,
% 54.92/55.15 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[843])).
% 54.92/55.15 tff(845,plain,
% 54.92/55.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.15 inference(quant_inst,[status(thm)],[])).
% 54.92/55.15 tff(846,plain,
% 54.92/55.15 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.15 inference(unit_resolution,[status(thm)],[845, 7])).
% 54.92/55.15 tff(847,plain,
% 54.92/55.15 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[724])).
% 54.92/55.15 tff(848,plain,
% 54.92/55.15 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[847])).
% 54.92/55.15 tff(849,plain,
% 54.92/55.15 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.15 inference(transitivity,[status(thm)],[848, 846, 844])).
% 54.92/55.15 tff(850,plain,
% 54.92/55.15 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[849])).
% 54.92/55.15 tff(851,plain,
% 54.92/55.15 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.15 inference(transitivity,[status(thm)],[850, 842, 839, 828, 819, 816, 811, 808, 806])).
% 54.92/55.15 tff(852,plain,
% 54.92/55.15 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[851])).
% 54.92/55.15 tff(853,plain,
% 54.92/55.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.15 inference(quant_inst,[status(thm)],[])).
% 54.92/55.15 tff(854,plain,
% 54.92/55.15 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.15 inference(unit_resolution,[status(thm)],[853, 7])).
% 54.92/55.15 tff(855,plain,
% 54.92/55.15 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[854])).
% 54.92/55.15 tff(856,plain,
% 54.92/55.15 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[738])).
% 54.92/55.15 tff(857,plain,
% 54.92/55.15 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.15 inference(transitivity,[status(thm)],[856, 855, 852, 793])).
% 54.92/55.15 tff(858,plain,
% 54.92/55.15 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[857])).
% 54.92/55.15 tff(859,plain,
% 54.92/55.15 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[858])).
% 54.92/55.15 tff(860,plain,
% 54.92/55.15 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.15 inference(transitivity,[status(thm)],[859, 791, 788])).
% 54.92/55.15 tff(861,plain,
% 54.92/55.15 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[860])).
% 54.92/55.15 tff(862,plain,
% 54.92/55.15 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[861])).
% 54.92/55.15 tff(863,plain,
% 54.92/55.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.15 inference(quant_inst,[status(thm)],[])).
% 54.92/55.15 tff(864,plain,
% 54.92/55.15 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.15 inference(unit_resolution,[status(thm)],[863, 7])).
% 54.92/55.15 tff(865,plain,
% 54.92/55.15 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[864])).
% 54.92/55.15 tff(866,plain,
% 54.92/55.15 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.15 inference(symmetry,[status(thm)],[735])).
% 54.92/55.15 tff(867,plain,
% 54.92/55.15 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.15 inference(monotonicity,[status(thm)],[866])).
% 54.92/55.15 tff(868,plain,
% 54.92/55.15 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[867])).
% 54.92/55.16 tff(869,plain,
% 54.92/55.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.16 inference(quant_inst,[status(thm)],[])).
% 54.92/55.16 tff(870,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(unit_resolution,[status(thm)],[869, 7])).
% 54.92/55.16 tff(871,plain,
% 54.92/55.16 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[870])).
% 54.92/55.16 tff(872,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[776])).
% 54.92/55.16 tff(873,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[872])).
% 54.92/55.16 tff(874,plain,
% 54.92/55.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.16 inference(quant_inst,[status(thm)],[])).
% 54.92/55.16 tff(875,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.16 inference(unit_resolution,[status(thm)],[874, 7])).
% 54.92/55.16 tff(876,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[875])).
% 54.92/55.16 tff(877,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[765])).
% 54.92/55.16 tff(878,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[877])).
% 54.92/55.16 tff(879,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[878])).
% 54.92/55.16 tff(880,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[879])).
% 54.92/55.16 tff(881,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(transitivity,[status(thm)],[880, 876, 873])).
% 54.92/55.16 tff(882,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[881])).
% 54.92/55.16 tff(883,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[882])).
% 54.92/55.16 tff(884,plain,
% 54.92/55.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(quant_inst,[status(thm)],[])).
% 54.92/55.16 tff(885,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(unit_resolution,[status(thm)],[884, 7])).
% 54.92/55.16 tff(886,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[777])).
% 54.92/55.16 tff(887,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[768])).
% 54.92/55.16 tff(888,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(transitivity,[status(thm)],[887, 770, 886])).
% 54.92/55.16 tff(889,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[888])).
% 54.92/55.16 tff(890,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[728])).
% 54.92/55.16 tff(891,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(transitivity,[status(thm)],[890, 889, 885, 883])).
% 54.92/55.16 tff(892,plain,
% 54.92/55.16 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[891])).
% 54.92/55.16 tff(893,plain,
% 54.92/55.16 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[892])).
% 54.92/55.16 tff(894,plain,
% 54.92/55.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.16 inference(quant_inst,[status(thm)],[])).
% 54.92/55.16 tff(895,plain,
% 54.92/55.16 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 54.92/55.16 inference(unit_resolution,[status(thm)],[894, 7])).
% 54.92/55.16 tff(896,plain,
% 54.92/55.16 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[895])).
% 54.92/55.16 tff(897,plain,
% 54.92/55.16 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.92/55.16 inference(transitivity,[status(thm)],[896, 878])).
% 54.92/55.16 tff(898,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[897])).
% 54.92/55.16 tff(899,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[898])).
% 54.92/55.16 tff(900,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[899])).
% 54.92/55.16 tff(901,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[900])).
% 54.92/55.16 tff(902,plain,
% 54.92/55.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 54.92/55.16 inference(quant_inst,[status(thm)],[])).
% 54.92/55.16 tff(903,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.16 inference(unit_resolution,[status(thm)],[902, 7])).
% 54.92/55.16 tff(904,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[903])).
% 54.92/55.16 tff(905,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[897])).
% 54.92/55.16 tff(906,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.16 inference(transitivity,[status(thm)],[905, 880, 876, 873])).
% 54.92/55.16 tff(907,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[906])).
% 54.92/55.16 tff(908,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[907])).
% 54.92/55.16 tff(909,plain,
% 54.92/55.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.16 inference(transitivity,[status(thm)],[882, 908, 904, 901])).
% 54.92/55.16 tff(910,plain,
% 54.92/55.16 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(monotonicity,[status(thm)],[909])).
% 54.92/55.16 tff(911,plain,
% 54.92/55.16 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(symmetry,[status(thm)],[910])).
% 54.92/55.16 tff(912,plain,
% 54.92/55.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.16 inference(quant_inst,[status(thm)],[])).
% 54.92/55.16 tff(913,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.16 inference(unit_resolution,[status(thm)],[912, 7])).
% 54.92/55.16 tff(914,plain,
% 54.92/55.16 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.17 inference(transitivity,[status(thm)],[913, 911, 893, 871, 868])).
% 54.92/55.17 tff(915,plain,
% 54.92/55.17 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.17 inference(monotonicity,[status(thm)],[914])).
% 54.92/55.17 tff(916,plain,
% 54.92/55.17 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.17 inference(symmetry,[status(thm)],[915])).
% 54.92/55.17 tff(917,plain,
% 54.92/55.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(quant_inst,[status(thm)],[])).
% 54.92/55.17 tff(918,plain,
% 54.92/55.17 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.17 inference(unit_resolution,[status(thm)],[917, 7])).
% 54.92/55.17 tff(919,plain,
% 54.92/55.17 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.17 inference(transitivity,[status(thm)],[918, 916])).
% 54.92/55.17 tff(920,plain,
% 54.92/55.17 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(monotonicity,[status(thm)],[919])).
% 54.92/55.17 tff(921,plain,
% 54.92/55.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.17 inference(quant_inst,[status(thm)],[])).
% 54.92/55.17 tff(922,plain,
% 54.92/55.17 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(unit_resolution,[status(thm)],[921, 7])).
% 54.92/55.17 tff(923,plain,
% 54.92/55.17 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(monotonicity,[status(thm)],[786])).
% 54.92/55.17 tff(924,plain,
% 54.92/55.17 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(transitivity,[status(thm)],[923, 922, 920])).
% 54.92/55.17 tff(925,plain,
% 54.92/55.17 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.17 inference(monotonicity,[status(thm)],[924])).
% 54.92/55.17 tff(926,plain,
% 54.92/55.17 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.17 inference(symmetry,[status(thm)],[925])).
% 54.92/55.17 tff(927,plain,
% 54.92/55.17 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(symmetry,[status(thm)],[923])).
% 54.92/55.17 tff(928,plain,
% 54.92/55.17 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(symmetry,[status(thm)],[922])).
% 54.92/55.17 tff(929,plain,
% 54.92/55.17 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(symmetry,[status(thm)],[920])).
% 54.92/55.17 tff(930,plain,
% 54.92/55.17 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(transitivity,[status(thm)],[929, 928, 927])).
% 54.92/55.17 tff(931,plain,
% 54.92/55.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 54.92/55.17 inference(quant_inst,[status(thm)],[])).
% 54.92/55.17 tff(932,plain,
% 54.92/55.17 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.17 inference(unit_resolution,[status(thm)],[931, 7])).
% 54.92/55.17 tff(933,plain,
% 54.92/55.17 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.17 inference(symmetry,[status(thm)],[932])).
% 54.92/55.17 tff(934,plain,
% 54.92/55.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(quant_inst,[status(thm)],[])).
% 54.92/55.17 tff(935,plain,
% 54.92/55.17 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.17 inference(unit_resolution,[status(thm)],[934, 7])).
% 54.92/55.17 tff(936,plain,
% 54.92/55.17 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.17 inference(symmetry,[status(thm)],[935])).
% 54.92/55.17 tff(937,plain,
% 54.92/55.17 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.17 inference(monotonicity,[status(thm)],[936])).
% 54.92/55.17 tff(938,plain,
% 54.92/55.17 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.17 inference(monotonicity,[status(thm)],[937])).
% 54.92/55.17 tff(939,plain,
% 54.92/55.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.18 inference(quant_inst,[status(thm)],[])).
% 54.92/55.18 tff(940,plain,
% 54.92/55.18 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.18 inference(unit_resolution,[status(thm)],[939, 7])).
% 54.92/55.18 tff(941,plain,
% 54.92/55.18 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[940])).
% 54.92/55.18 tff(942,plain,
% 54.92/55.18 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.18 inference(transitivity,[status(thm)],[941, 938])).
% 54.92/55.18 tff(943,plain,
% 54.92/55.18 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[942])).
% 54.92/55.18 tff(944,plain,
% 54.92/55.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 54.92/55.18 inference(quant_inst,[status(thm)],[])).
% 54.92/55.18 tff(945,plain,
% 54.92/55.18 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.18 inference(unit_resolution,[status(thm)],[944, 7])).
% 54.92/55.18 tff(946,plain,
% 54.92/55.18 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[945])).
% 54.92/55.18 tff(947,plain,
% 54.92/55.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(quant_inst,[status(thm)],[])).
% 54.92/55.18 tff(948,plain,
% 54.92/55.18 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.18 inference(unit_resolution,[status(thm)],[947, 7])).
% 54.92/55.18 tff(949,plain,
% 54.92/55.18 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[948])).
% 54.92/55.18 tff(950,plain,
% 54.92/55.18 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[949])).
% 54.92/55.18 tff(951,plain,
% 54.92/55.18 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[950])).
% 54.92/55.18 tff(952,plain,
% 54.92/55.18 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[951])).
% 54.92/55.18 tff(953,plain,
% 54.92/55.18 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[952])).
% 54.92/55.18 tff(954,plain,
% 54.92/55.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.18 inference(quant_inst,[status(thm)],[])).
% 54.92/55.18 tff(955,plain,
% 54.92/55.18 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(unit_resolution,[status(thm)],[954, 7])).
% 54.92/55.18 tff(956,plain,
% 54.92/55.18 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[955])).
% 54.92/55.18 tff(957,plain,
% 54.92/55.18 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[956])).
% 54.92/55.18 tff(958,plain,
% 54.92/55.18 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.18 inference(transitivity,[status(thm)],[957, 953])).
% 54.92/55.18 tff(959,plain,
% 54.92/55.18 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[958])).
% 54.92/55.18 tff(960,plain,
% 54.92/55.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.18 inference(quant_inst,[status(thm)],[])).
% 54.92/55.18 tff(961,plain,
% 54.92/55.18 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.18 inference(unit_resolution,[status(thm)],[960, 7])).
% 54.92/55.18 tff(962,plain,
% 54.92/55.18 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[961])).
% 54.92/55.18 tff(963,plain,
% 54.92/55.18 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[10])).
% 54.92/55.18 tff(964,plain,
% 54.92/55.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(quant_inst,[status(thm)],[])).
% 54.92/55.18 tff(965,plain,
% 54.92/55.18 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.18 inference(unit_resolution,[status(thm)],[964, 7])).
% 54.92/55.18 tff(966,plain,
% 54.92/55.18 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[965])).
% 54.92/55.18 tff(967,plain,
% 54.92/55.18 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[56])).
% 54.92/55.18 tff(968,plain,
% 54.92/55.18 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[967])).
% 54.92/55.18 tff(969,plain,
% 54.92/55.18 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[968])).
% 54.92/55.18 tff(970,plain,
% 54.92/55.18 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[969])).
% 54.92/55.18 tff(971,plain,
% 54.92/55.18 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 54.92/55.18 inference(transitivity,[status(thm)],[970, 966, 963])).
% 54.92/55.18 tff(972,plain,
% 54.92/55.18 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(monotonicity,[status(thm)],[971])).
% 54.92/55.18 tff(973,plain,
% 54.92/55.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.18 inference(quant_inst,[status(thm)],[])).
% 54.92/55.18 tff(974,plain,
% 54.92/55.18 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(unit_resolution,[status(thm)],[973, 7])).
% 54.92/55.18 tff(975,plain,
% 54.92/55.18 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.18 inference(symmetry,[status(thm)],[974])).
% 54.92/55.18 tff(976,plain,
% 54.92/55.18 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 54.92/55.19 inference(transitivity,[status(thm)],[975, 972, 951, 955])).
% 54.92/55.19 tff(977,plain,
% 54.92/55.19 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.19 inference(monotonicity,[status(thm)],[976])).
% 54.92/55.19 tff(978,plain,
% 54.92/55.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.19 inference(quant_inst,[status(thm)],[])).
% 54.92/55.19 tff(979,plain,
% 54.92/55.19 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.19 inference(unit_resolution,[status(thm)],[978, 7])).
% 54.92/55.19 tff(980,plain,
% 54.92/55.19 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.19 inference(symmetry,[status(thm)],[979])).
% 54.92/55.19 tff(981,plain,
% 54.92/55.19 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 54.92/55.19 inference(transitivity,[status(thm)],[980, 977])).
% 54.92/55.19 tff(982,plain,
% 54.92/55.19 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.19 inference(monotonicity,[status(thm)],[981])).
% 54.92/55.19 tff(983,plain,
% 54.92/55.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 54.92/55.19 inference(quant_inst,[status(thm)],[])).
% 54.92/55.19 tff(984,plain,
% 54.92/55.19 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 54.92/55.19 inference(unit_resolution,[status(thm)],[983, 7])).
% 55.03/55.19 tff(985,plain,
% 55.03/55.19 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.03/55.19 inference(symmetry,[status(thm)],[984])).
% 55.03/55.19 tff(986,plain,
% 55.03/55.19 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.03/55.19 inference(transitivity,[status(thm)],[985, 982, 962, 959])).
% 55.03/55.19 tff(987,plain,
% 55.03/55.19 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.03/55.19 inference(monotonicity,[status(thm)],[986])).
% 55.03/55.19 tff(988,plain,
% 55.03/55.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.03/55.19 inference(quant_inst,[status(thm)],[])).
% 55.03/55.19 tff(989,plain,
% 55.03/55.19 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.03/55.19 inference(unit_resolution,[status(thm)],[988, 7])).
% 55.03/55.19 tff(990,plain,
% 55.03/55.19 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.03/55.19 inference(symmetry,[status(thm)],[989])).
% 55.03/55.19 tff(991,plain,
% 55.03/55.19 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.03/55.19 inference(monotonicity,[status(thm)],[647])).
% 55.03/55.19 tff(992,plain,
% 55.03/55.19 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.03/55.19 inference(symmetry,[status(thm)],[991])).
% 55.03/55.19 tff(993,plain,
% 55.03/55.19 (lseg(x1, x14) = lseg(x9, x14)),
% 55.03/55.19 inference(monotonicity,[status(thm)],[487])).
% 55.03/55.19 tff(994,plain,
% 55.03/55.19 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.03/55.19 inference(monotonicity,[status(thm)],[993, 992])).
% 55.03/55.19 tff(995,plain,
% 55.03/55.19 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.03/55.19 inference(transitivity,[status(thm)],[994, 990, 987])).
% 55.03/55.19 tff(996,plain,
% 55.03/55.19 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.03/55.19 inference(monotonicity,[status(thm)],[995])).
% 55.03/55.19 tff(997,plain,
% 55.03/55.19 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.03/55.19 inference(transitivity,[status(thm)],[996, 946, 943, 933])).
% 55.03/55.19 tff(998,plain,
% 55.03/55.19 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.03/55.19 inference(monotonicity,[status(thm)],[997])).
% 55.03/55.19 tff(999,plain,
% 55.03/55.19 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.03/55.19 inference(symmetry,[status(thm)],[998])).
% 55.03/55.19 tff(1000,plain,
% 55.03/55.19 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.03/55.19 inference(modus_ponens,[status(thm)],[464, 999])).
% 55.03/55.19 tff(1001,plain,
% 55.03/55.19 ((x1 = x14) <=> (x9 = x14)),
% 55.03/55.19 inference(monotonicity,[status(thm)],[487])).
% 55.03/55.19 tff(1002,plain,
% 55.03/55.19 ((x9 = x14) <=> (x1 = x14)),
% 55.03/55.19 inference(symmetry,[status(thm)],[1001])).
% 55.03/55.19 tff(1003,plain,
% 55.03/55.19 ((~(x9 = x14)) <=> (~(x1 = x14))),
% 55.03/55.19 inference(monotonicity,[status(thm)],[1002])).
% 55.03/55.20 tff(1004,plain,
% 55.03/55.20 (~(x1 = x14)),
% 55.03/55.20 inference(modus_ponens,[status(thm)],[468, 1003])).
% 55.03/55.20 tff(1005,plain,
% 55.03/55.20 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x7) | (x1 = x14) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x7) | (x1 = x14) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.03/55.20 inference(rewrite,[status(thm)],[])).
% 55.03/55.20 tff(1006,plain,
% 55.03/55.20 (((x1 = x14) | (x1 = x7) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((x1 = x7) | (x1 = x14) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.03/55.20 inference(rewrite,[status(thm)],[])).
% 55.03/55.20 tff(1007,plain,
% 55.03/55.20 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x14) | (x1 = x7) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x7) | (x1 = x14) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[1006])).
% 55.03/55.20 tff(1008,plain,
% 55.03/55.20 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x14) | (x1 = x7) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x7) | (x1 = x14) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.03/55.20 inference(transitivity,[status(thm)],[1007, 1005])).
% 55.03/55.20 tff(1009,plain,
% 55.03/55.20 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x14) | (x1 = x7) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.03/55.20 inference(quant_inst,[status(thm)],[])).
% 55.03/55.20 tff(1010,plain,
% 55.03/55.20 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x7) | (x1 = x14) | (~heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.03/55.20 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 55.03/55.20 tff(1011,plain,
% 55.03/55.20 (x1 = x7),
% 55.03/55.20 inference(unit_resolution,[status(thm)],[1010, 478, 1004, 1000])).
% 55.03/55.20 tff(1012,plain,
% 55.03/55.20 (x7 = x1),
% 55.03/55.20 inference(symmetry,[status(thm)],[1011])).
% 55.03/55.20 tff(1013,plain,
% 55.03/55.20 (lseg(x1, x7) = lseg(x9, x1)),
% 55.03/55.20 inference(monotonicity,[status(thm)],[487, 1012])).
% 55.03/55.20 tff(1014,plain,
% 55.03/55.20 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[1013, 930])).
% 55.03/55.20 tff(1015,plain,
% 55.03/55.20 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1014])).
% 55.03/55.20 tff(1016,plain,
% 55.03/55.20 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.03/55.20 inference(quant_inst,[status(thm)],[])).
% 55.03/55.20 tff(1017,plain,
% 55.03/55.20 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.03/55.20 inference(unit_resolution,[status(thm)],[1016, 500])).
% 55.03/55.20 tff(1018,plain,
% 55.03/55.20 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[488])).
% 55.03/55.20 tff(1019,plain,
% 55.03/55.20 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1018])).
% 55.03/55.20 tff(1020,plain,
% 55.03/55.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))))),
% 55.03/55.20 inference(quant_inst,[status(thm)],[])).
% 55.03/55.20 tff(1021,plain,
% 55.03/55.20 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.03/55.20 inference(unit_resolution,[status(thm)],[1020, 7])).
% 55.03/55.20 tff(1022,plain,
% 55.03/55.20 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[738])).
% 55.03/55.20 tff(1023,plain,
% 55.03/55.20 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1022])).
% 55.03/55.20 tff(1024,plain,
% 55.03/55.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.03/55.20 inference(quant_inst,[status(thm)],[])).
% 55.03/55.20 tff(1025,plain,
% 55.03/55.20 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.03/55.20 inference(unit_resolution,[status(thm)],[1024, 7])).
% 55.03/55.20 tff(1026,plain,
% 55.03/55.20 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1025])).
% 55.03/55.20 tff(1027,plain,
% 55.03/55.20 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[891])).
% 55.03/55.20 tff(1028,plain,
% 55.03/55.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.03/55.20 inference(quant_inst,[status(thm)],[])).
% 55.03/55.20 tff(1029,plain,
% 55.03/55.20 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.03/55.20 inference(unit_resolution,[status(thm)],[1028, 7])).
% 55.03/55.20 tff(1030,plain,
% 55.03/55.20 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[730])).
% 55.03/55.20 tff(1031,plain,
% 55.03/55.20 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.03/55.20 inference(transitivity,[status(thm)],[1030, 1029, 1027])).
% 55.03/55.20 tff(1032,plain,
% 55.03/55.20 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[1031])).
% 55.03/55.20 tff(1033,plain,
% 55.03/55.20 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1032])).
% 55.03/55.20 tff(1034,plain,
% 55.03/55.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.03/55.20 inference(quant_inst,[status(thm)],[])).
% 55.03/55.20 tff(1035,plain,
% 55.03/55.20 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 55.03/55.20 inference(unit_resolution,[status(thm)],[1034, 7])).
% 55.03/55.20 tff(1036,plain,
% 55.03/55.20 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1035])).
% 55.03/55.20 tff(1037,plain,
% 55.03/55.20 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[1036])).
% 55.03/55.20 tff(1038,plain,
% 55.03/55.20 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1037])).
% 55.03/55.20 tff(1039,plain,
% 55.03/55.20 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.03/55.20 inference(monotonicity,[status(thm)],[1038])).
% 55.03/55.20 tff(1040,plain,
% 55.03/55.20 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.03/55.20 inference(symmetry,[status(thm)],[1039])).
% 55.03/55.20 tff(1041,plain,
% 55.03/55.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.03/55.20 inference(quant_inst,[status(thm)],[])).
% 55.03/55.20 tff(1042,plain,
% 55.03/55.20 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.03/55.21 inference(unit_resolution,[status(thm)],[1041, 7])).
% 55.03/55.21 tff(1043,plain,
% 55.03/55.21 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.03/55.21 inference(symmetry,[status(thm)],[1042])).
% 55.03/55.21 tff(1044,plain,
% 55.03/55.21 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.03/55.21 inference(monotonicity,[status(thm)],[1036])).
% 55.03/55.21 tff(1045,plain,
% 55.03/55.21 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.03/55.21 inference(symmetry,[status(thm)],[1044])).
% 55.03/55.21 tff(1046,plain,
% 55.03/55.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.03/55.21 inference(quant_inst,[status(thm)],[])).
% 55.03/55.21 tff(1047,plain,
% 55.03/55.21 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 55.03/55.21 inference(unit_resolution,[status(thm)],[1046, 7])).
% 55.03/55.21 tff(1048,plain,
% 55.03/55.21 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))),
% 55.03/55.21 inference(symmetry,[status(thm)],[1047])).
% 55.03/55.21 tff(1049,plain,
% 55.03/55.21 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 55.03/55.21 inference(monotonicity,[status(thm)],[1048])).
% 55.03/55.21 tff(1050,plain,
% 55.03/55.21 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.03/55.21 inference(symmetry,[status(thm)],[1049])).
% 55.03/55.21 tff(1051,plain,
% 55.03/55.21 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.03/55.21 inference(monotonicity,[status(thm)],[1050])).
% 55.03/55.21 tff(1052,plain,
% 55.03/55.21 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.03/55.21 inference(symmetry,[status(thm)],[1051])).
% 55.03/55.21 tff(1053,plain,
% 55.03/55.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.03/55.21 inference(quant_inst,[status(thm)],[])).
% 55.03/55.21 tff(1054,plain,
% 55.03/55.21 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.03/55.21 inference(unit_resolution,[status(thm)],[1053, 7])).
% 55.03/55.21 tff(1055,plain,
% 55.03/55.21 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.03/55.21 inference(symmetry,[status(thm)],[1054])).
% 55.03/55.21 tff(1056,plain,
% 55.03/55.21 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 55.03/55.21 inference(monotonicity,[status(thm)],[1048])).
% 55.05/55.21 tff(1057,plain,
% 55.05/55.21 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(monotonicity,[status(thm)],[1056])).
% 55.05/55.21 tff(1058,plain,
% 55.05/55.21 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(symmetry,[status(thm)],[1057])).
% 55.05/55.21 tff(1059,plain,
% 55.05/55.21 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(transitivity,[status(thm)],[1058, 1055, 1052, 1045])).
% 55.05/55.21 tff(1060,plain,
% 55.05/55.21 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.21 inference(monotonicity,[status(thm)],[1059])).
% 55.05/55.21 tff(1061,plain,
% 55.05/55.21 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.21 inference(transitivity,[status(thm)],[1060, 1043, 1040])).
% 55.05/55.21 tff(1062,plain,
% 55.05/55.21 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.21 inference(monotonicity,[status(thm)],[1061])).
% 55.05/55.21 tff(1063,plain,
% 55.05/55.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.21 inference(quant_inst,[status(thm)],[])).
% 55.05/55.21 tff(1064,plain,
% 55.05/55.21 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.21 inference(unit_resolution,[status(thm)],[1063, 7])).
% 55.05/55.21 tff(1065,plain,
% 55.05/55.21 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.21 inference(transitivity,[status(thm)],[1064, 1062])).
% 55.05/55.21 tff(1066,plain,
% 55.05/55.21 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.21 inference(monotonicity,[status(thm)],[1065])).
% 55.05/55.21 tff(1067,plain,
% 55.05/55.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.05/55.21 inference(quant_inst,[status(thm)],[])).
% 55.05/55.21 tff(1068,plain,
% 55.05/55.21 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.21 inference(unit_resolution,[status(thm)],[1067, 7])).
% 55.05/55.21 tff(1069,plain,
% 55.05/55.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.21 inference(quant_inst,[status(thm)],[])).
% 55.05/55.21 tff(1070,plain,
% 55.05/55.21 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.21 inference(unit_resolution,[status(thm)],[1069, 7])).
% 55.05/55.21 tff(1071,plain,
% 55.05/55.21 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(transitivity,[status(thm)],[1044, 1051, 1054, 1057])).
% 55.05/55.21 tff(1072,plain,
% 55.05/55.21 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.21 inference(monotonicity,[status(thm)],[1071])).
% 55.05/55.21 tff(1073,plain,
% 55.05/55.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.21 inference(quant_inst,[status(thm)],[])).
% 55.05/55.21 tff(1074,plain,
% 55.05/55.21 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.21 inference(unit_resolution,[status(thm)],[1073, 7])).
% 55.05/55.21 tff(1075,plain,
% 55.05/55.21 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(monotonicity,[status(thm)],[1036])).
% 55.05/55.21 tff(1076,plain,
% 55.05/55.21 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(symmetry,[status(thm)],[1075])).
% 55.05/55.21 tff(1077,plain,
% 55.05/55.21 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(monotonicity,[status(thm)],[1049])).
% 55.05/55.21 tff(1078,plain,
% 55.05/55.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.05/55.21 inference(quant_inst,[status(thm)],[])).
% 55.05/55.21 tff(1079,plain,
% 55.05/55.21 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.05/55.21 inference(unit_resolution,[status(thm)],[1078, 7])).
% 55.05/55.21 tff(1080,plain,
% 55.05/55.21 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1048])).
% 55.05/55.22 tff(1081,plain,
% 55.05/55.22 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.05/55.22 inference(symmetry,[status(thm)],[1080])).
% 55.05/55.22 tff(1082,plain,
% 55.05/55.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.22 inference(quant_inst,[status(thm)],[])).
% 55.05/55.22 tff(1083,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 55.05/55.22 inference(unit_resolution,[status(thm)],[1082, 7])).
% 55.05/55.22 tff(1084,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[763])).
% 55.05/55.22 tff(1085,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[1084, 1083, 1081])).
% 55.05/55.22 tff(1086,plain,
% 55.05/55.22 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1085])).
% 55.05/55.22 tff(1087,plain,
% 55.05/55.22 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[1086, 1079, 1077, 1076])).
% 55.05/55.22 tff(1088,plain,
% 55.05/55.22 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1087])).
% 55.05/55.22 tff(1089,plain,
% 55.05/55.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.05/55.22 inference(quant_inst,[status(thm)],[])).
% 55.05/55.22 tff(1090,plain,
% 55.05/55.22 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.05/55.22 inference(unit_resolution,[status(thm)],[1089, 7])).
% 55.05/55.22 tff(1091,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[717])).
% 55.05/55.22 tff(1092,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))),
% 55.05/55.22 inference(symmetry,[status(thm)],[1091])).
% 55.05/55.22 tff(1093,plain,
% 55.05/55.22 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1092])).
% 55.05/55.22 tff(1094,plain,
% 55.05/55.22 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.05/55.22 inference(symmetry,[status(thm)],[1093])).
% 55.05/55.22 tff(1095,plain,
% 55.05/55.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.05/55.22 inference(quant_inst,[status(thm)],[])).
% 55.05/55.22 tff(1096,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.05/55.22 inference(unit_resolution,[status(thm)],[1095, 7])).
% 55.05/55.22 tff(1097,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[718])).
% 55.05/55.22 tff(1098,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.05/55.22 inference(symmetry,[status(thm)],[1097])).
% 55.05/55.22 tff(1099,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[1098, 1096, 1094])).
% 55.05/55.22 tff(1100,plain,
% 55.05/55.22 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1099])).
% 55.05/55.22 tff(1101,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[872, 875, 879, 1100, 1090, 1088, 1074, 1072])).
% 55.05/55.22 tff(1102,plain,
% 55.05/55.22 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1101])).
% 55.05/55.22 tff(1103,plain,
% 55.05/55.22 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[881])).
% 55.05/55.22 tff(1104,plain,
% 55.05/55.22 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[1103, 1102, 1070])).
% 55.05/55.22 tff(1105,plain,
% 55.05/55.22 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1104])).
% 55.05/55.22 tff(1106,plain,
% 55.05/55.22 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.05/55.22 inference(symmetry,[status(thm)],[1103])).
% 55.05/55.22 tff(1107,plain,
% 55.05/55.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.22 inference(quant_inst,[status(thm)],[])).
% 55.05/55.22 tff(1108,plain,
% 55.05/55.22 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.22 inference(unit_resolution,[status(thm)],[1107, 7])).
% 55.05/55.22 tff(1109,plain,
% 55.05/55.22 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.05/55.22 inference(symmetry,[status(thm)],[1108])).
% 55.05/55.22 tff(1110,plain,
% 55.05/55.22 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[1109, 775])).
% 55.05/55.22 tff(1111,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1110])).
% 55.05/55.22 tff(1112,plain,
% 55.05/55.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.22 inference(quant_inst,[status(thm)],[])).
% 55.05/55.22 tff(1113,plain,
% 55.05/55.22 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.22 inference(unit_resolution,[status(thm)],[1112, 7])).
% 55.05/55.22 tff(1114,plain,
% 55.05/55.22 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.05/55.22 inference(symmetry,[status(thm)],[1113])).
% 55.05/55.22 tff(1115,plain,
% 55.05/55.22 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[1114, 1111])).
% 55.05/55.22 tff(1116,plain,
% 55.05/55.22 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1115])).
% 55.05/55.22 tff(1117,plain,
% 55.05/55.22 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.05/55.22 inference(transitivity,[status(thm)],[1116, 1106])).
% 55.05/55.22 tff(1118,plain,
% 55.05/55.22 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.05/55.22 inference(monotonicity,[status(thm)],[1117])).
% 55.05/55.23 tff(1119,plain,
% 55.05/55.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.05/55.23 inference(quant_inst,[status(thm)],[])).
% 55.05/55.23 tff(1120,plain,
% 55.05/55.23 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.23 inference(unit_resolution,[status(thm)],[1119, 7])).
% 55.05/55.23 tff(1121,plain,
% 55.05/55.23 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.05/55.23 inference(monotonicity,[status(thm)],[1115])).
% 55.05/55.23 tff(1122,plain,
% 55.05/55.23 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.23 inference(symmetry,[status(thm)],[1121])).
% 55.05/55.23 tff(1123,plain,
% 55.05/55.23 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.05/55.23 inference(transitivity,[status(thm)],[882, 1122])).
% 55.05/55.23 tff(1124,plain,
% 55.05/55.23 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.23 inference(monotonicity,[status(thm)],[1123])).
% 55.05/55.23 tff(1125,plain,
% 55.05/55.23 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.05/55.23 inference(transitivity,[status(thm)],[1124, 1120, 1118, 1105, 1068, 1066])).
% 55.05/55.23 tff(1126,plain,
% 55.05/55.23 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.05/55.23 inference(monotonicity,[status(thm)],[1125])).
% 55.05/55.23 tff(1127,plain,
% 55.05/55.23 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.05/55.23 inference(symmetry,[status(thm)],[1126])).
% 55.05/55.23 tff(1128,plain,
% 55.05/55.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.05/55.23 inference(quant_inst,[status(thm)],[])).
% 55.05/55.23 tff(1129,plain,
% 55.05/55.23 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.05/55.23 inference(unit_resolution,[status(thm)],[1128, 7])).
% 55.05/55.23 tff(1130,plain,
% 55.05/55.23 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.05/55.23 inference(symmetry,[status(thm)],[1129])).
% 55.05/55.23 tff(1131,plain,
% 55.05/55.23 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.05/55.23 inference(transitivity,[status(thm)],[1130, 1127, 1033, 1026, 1023, 918, 916])).
% 55.05/55.23 tff(1132,plain,
% 55.05/55.23 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.05/55.23 inference(monotonicity,[status(thm)],[1131])).
% 55.05/55.23 tff(1133,plain,
% 55.05/55.23 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.05/55.23 inference(symmetry,[status(thm)],[1132])).
% 55.05/55.23 tff(1134,plain,
% 55.05/55.23 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.05/55.23 inference(transitivity,[status(thm)],[923, 922, 920, 1133, 1021, 1019, 1017])).
% 55.05/55.23 tff(1135,plain,
% 55.05/55.23 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.05/55.23 inference(monotonicity,[status(thm)],[1134])).
% 55.05/55.23 tff(1136,plain,
% 55.05/55.23 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.05/55.23 inference(symmetry,[status(thm)],[1135])).
% 55.05/55.23 tff(1137,plain,
% 55.05/55.23 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.23 inference(transitivity,[status(thm)],[923, 922, 920, 1133, 1021, 1136, 1015, 926, 865, 862])).
% 55.07/55.23 tff(1138,plain,
% 55.07/55.23 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.23 inference(monotonicity,[status(thm)],[1137])).
% 55.07/55.23 tff(1139,plain,
% 55.07/55.23 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.23 inference(symmetry,[status(thm)],[1138])).
% 55.07/55.23 tff(1140,plain,
% 55.07/55.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.23 inference(quant_inst,[status(thm)],[])).
% 55.07/55.23 tff(1141,plain,
% 55.07/55.23 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))),
% 55.07/55.23 inference(unit_resolution,[status(thm)],[1140, 7])).
% 55.07/55.23 tff(1142,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))),
% 55.07/55.23 inference(symmetry,[status(thm)],[1141])).
% 55.07/55.23 tff(1143,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 55.07/55.23 inference(transitivity,[status(thm)],[1142, 718])).
% 55.07/55.23 tff(1144,plain,
% 55.07/55.23 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.07/55.23 inference(monotonicity,[status(thm)],[1143])).
% 55.07/55.23 tff(1145,plain,
% 55.07/55.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.07/55.23 inference(quant_inst,[status(thm)],[])).
% 55.07/55.23 tff(1146,plain,
% 55.07/55.23 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.23 inference(unit_resolution,[status(thm)],[1145, 7])).
% 55.07/55.23 tff(1147,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.23 inference(symmetry,[status(thm)],[1146])).
% 55.07/55.23 tff(1148,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.07/55.23 inference(transitivity,[status(thm)],[1147, 1144])).
% 55.07/55.23 tff(1149,plain,
% 55.07/55.23 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.23 inference(monotonicity,[status(thm)],[1148])).
% 55.07/55.23 tff(1150,plain,
% 55.07/55.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.23 inference(quant_inst,[status(thm)],[])).
% 55.07/55.23 tff(1151,plain,
% 55.07/55.23 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.07/55.23 inference(unit_resolution,[status(thm)],[1150, 7])).
% 55.07/55.23 tff(1152,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.07/55.23 inference(symmetry,[status(thm)],[1151])).
% 55.07/55.23 tff(1153,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.23 inference(transitivity,[status(thm)],[1152, 1149])).
% 55.07/55.23 tff(1154,plain,
% 55.07/55.23 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.23 inference(monotonicity,[status(thm)],[1153])).
% 55.07/55.23 tff(1155,plain,
% 55.07/55.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.23 inference(quant_inst,[status(thm)],[])).
% 55.07/55.23 tff(1156,plain,
% 55.07/55.23 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.23 inference(unit_resolution,[status(thm)],[1155, 7])).
% 55.07/55.23 tff(1157,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.23 inference(symmetry,[status(thm)],[1156])).
% 55.07/55.23 tff(1158,plain,
% 55.07/55.23 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.23 inference(transitivity,[status(thm)],[1157, 1154])).
% 55.07/55.23 tff(1159,plain,
% 55.07/55.23 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.23 inference(monotonicity,[status(thm)],[1158])).
% 55.07/55.23 tff(1160,plain,
% 55.07/55.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.24 inference(quant_inst,[status(thm)],[])).
% 55.07/55.24 tff(1161,plain,
% 55.07/55.24 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.24 inference(unit_resolution,[status(thm)],[1160, 7])).
% 55.07/55.24 tff(1162,plain,
% 55.07/55.24 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.24 inference(symmetry,[status(thm)],[1161])).
% 55.07/55.24 tff(1163,plain,
% 55.07/55.24 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.24 inference(transitivity,[status(thm)],[1162, 1159])).
% 55.07/55.24 tff(1164,plain,
% 55.07/55.24 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.24 inference(monotonicity,[status(thm)],[1163])).
% 55.07/55.24 tff(1165,plain,
% 55.07/55.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.24 inference(quant_inst,[status(thm)],[])).
% 55.07/55.24 tff(1166,plain,
% 55.07/55.24 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.24 inference(unit_resolution,[status(thm)],[1165, 7])).
% 55.07/55.24 tff(1167,plain,
% 55.07/55.24 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.24 inference(symmetry,[status(thm)],[1166])).
% 55.07/55.24 tff(1168,plain,
% 55.07/55.24 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.24 inference(transitivity,[status(thm)],[1167, 1164])).
% 55.07/55.24 tff(1169,plain,
% 55.07/55.24 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.24 inference(monotonicity,[status(thm)],[1168])).
% 55.07/55.24 tff(1170,plain,
% 55.07/55.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.24 inference(quant_inst,[status(thm)],[])).
% 55.07/55.24 tff(1171,plain,
% 55.07/55.24 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.24 inference(unit_resolution,[status(thm)],[1170, 7])).
% 55.07/55.24 tff(1172,plain,
% 55.07/55.24 (sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.24 inference(symmetry,[status(thm)],[1171])).
% 55.07/55.24 tff(1173,plain,
% 55.07/55.24 (sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.24 inference(transitivity,[status(thm)],[1172, 1169, 1133, 1021, 1136, 1015, 926, 865, 862])).
% 55.07/55.24 tff(1174,plain,
% 55.07/55.24 (lseg(x11, x1) = lseg(x11, x9)),
% 55.07/55.24 inference(monotonicity,[status(thm)],[487])).
% 55.07/55.24 tff(1175,plain,
% 55.07/55.24 (sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.24 inference(monotonicity,[status(thm)],[1174, 1173])).
% 55.07/55.24 tff(1176,plain,
% 55.07/55.24 (sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.24 inference(transitivity,[status(thm)],[1175, 1139])).
% 55.07/55.24 tff(1177,plain,
% 55.07/55.24 (heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.24 inference(monotonicity,[status(thm)],[1176])).
% 55.07/55.24 tff(1178,plain,
% 55.07/55.24 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.24 inference(symmetry,[status(thm)],[1177])).
% 55.07/55.24 tff(1179,plain,
% 55.07/55.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.24 inference(quant_inst,[status(thm)],[])).
% 55.07/55.24 tff(1180,plain,
% 55.07/55.24 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.24 inference(unit_resolution,[status(thm)],[1179, 7])).
% 55.07/55.24 tff(1181,plain,
% 55.07/55.24 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.24 inference(symmetry,[status(thm)],[1180])).
% 55.07/55.24 tff(1182,plain,
% 55.07/55.24 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.24 inference(transitivity,[status(thm)],[1181, 61, 10])).
% 55.07/55.24 tff(1183,plain,
% 55.07/55.24 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.24 inference(monotonicity,[status(thm)],[1182])).
% 55.07/55.24 tff(1184,plain,
% 55.07/55.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.24 inference(quant_inst,[status(thm)],[])).
% 55.07/55.24 tff(1185,plain,
% 55.07/55.24 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.24 inference(unit_resolution,[status(thm)],[1184, 7])).
% 55.07/55.24 tff(1186,plain,
% 55.07/55.24 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.24 inference(symmetry,[status(thm)],[1185])).
% 55.07/55.24 tff(1187,plain,
% 55.07/55.24 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.24 inference(transitivity,[status(thm)],[1186, 1183])).
% 55.07/55.24 tff(1188,plain,
% 55.07/55.24 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.25 inference(monotonicity,[status(thm)],[1187])).
% 55.07/55.25 tff(1189,plain,
% 55.07/55.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.25 inference(quant_inst,[status(thm)],[])).
% 55.07/55.25 tff(1190,plain,
% 55.07/55.25 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.25 inference(unit_resolution,[status(thm)],[1189, 7])).
% 55.07/55.25 tff(1191,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.25 inference(symmetry,[status(thm)],[1190])).
% 55.07/55.25 tff(1192,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.25 inference(transitivity,[status(thm)],[1191, 1188])).
% 55.07/55.25 tff(1193,plain,
% 55.07/55.25 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.25 inference(monotonicity,[status(thm)],[1192])).
% 55.07/55.25 tff(1194,plain,
% 55.07/55.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.25 inference(quant_inst,[status(thm)],[])).
% 55.07/55.25 tff(1195,plain,
% 55.07/55.25 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.25 inference(unit_resolution,[status(thm)],[1194, 7])).
% 55.07/55.25 tff(1196,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.25 inference(symmetry,[status(thm)],[1195])).
% 55.07/55.25 tff(1197,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.25 inference(transitivity,[status(thm)],[1196, 1193, 173, 170])).
% 55.07/55.25 tff(1198,plain,
% 55.07/55.25 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.25 inference(monotonicity,[status(thm)],[1197])).
% 55.07/55.25 tff(1199,plain,
% 55.07/55.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.25 inference(quant_inst,[status(thm)],[])).
% 55.07/55.25 tff(1200,plain,
% 55.07/55.25 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.25 inference(unit_resolution,[status(thm)],[1199, 7])).
% 55.07/55.25 tff(1201,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.25 inference(symmetry,[status(thm)],[1200])).
% 55.07/55.25 tff(1202,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.25 inference(transitivity,[status(thm)],[1201, 1198, 248])).
% 55.07/55.25 tff(1203,plain,
% 55.07/55.25 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.25 inference(monotonicity,[status(thm)],[1202])).
% 55.07/55.25 tff(1204,plain,
% 55.07/55.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.25 inference(quant_inst,[status(thm)],[])).
% 55.07/55.25 tff(1205,plain,
% 55.07/55.25 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.25 inference(unit_resolution,[status(thm)],[1204, 7])).
% 55.07/55.25 tff(1206,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.25 inference(symmetry,[status(thm)],[1205])).
% 55.07/55.25 tff(1207,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.25 inference(transitivity,[status(thm)],[1206, 1203])).
% 55.07/55.25 tff(1208,plain,
% 55.07/55.25 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.25 inference(monotonicity,[status(thm)],[1207])).
% 55.07/55.25 tff(1209,plain,
% 55.07/55.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.07/55.25 inference(quant_inst,[status(thm)],[])).
% 55.07/55.25 tff(1210,plain,
% 55.07/55.25 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.25 inference(unit_resolution,[status(thm)],[1209, 7])).
% 55.07/55.25 tff(1211,plain,
% 55.07/55.25 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.25 inference(symmetry,[status(thm)],[1210])).
% 55.07/55.25 tff(1212,plain,
% 55.07/55.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.25 inference(quant_inst,[status(thm)],[])).
% 55.07/55.25 tff(1213,plain,
% 55.07/55.25 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1212, 7])).
% 55.07/55.26 tff(1214,plain,
% 55.07/55.26 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1213])).
% 55.07/55.26 tff(1215,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1099])).
% 55.07/55.26 tff(1216,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1215])).
% 55.07/55.26 tff(1217,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1218,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1217, 7])).
% 55.07/55.26 tff(1219,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1218])).
% 55.07/55.26 tff(1220,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1091])).
% 55.07/55.26 tff(1221,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1222,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1221, 7])).
% 55.07/55.26 tff(1223,plain,
% 55.07/55.26 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1222])).
% 55.07/55.26 tff(1224,plain,
% 55.07/55.26 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.07/55.26 inference(transitivity,[status(thm)],[1223, 1220])).
% 55.07/55.26 tff(1225,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1224])).
% 55.07/55.26 tff(1226,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(transitivity,[status(thm)],[1225, 1219, 1216])).
% 55.07/55.26 tff(1227,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1226])).
% 55.07/55.26 tff(1228,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1229,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1228, 7])).
% 55.07/55.26 tff(1230,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1224])).
% 55.07/55.26 tff(1231,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1230])).
% 55.07/55.26 tff(1232,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1231])).
% 55.07/55.26 tff(1233,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1234,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1233, 7])).
% 55.07/55.26 tff(1235,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1234])).
% 55.07/55.26 tff(1236,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1235])).
% 55.07/55.26 tff(1237,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1238,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1237, 7])).
% 55.07/55.26 tff(1239,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1238])).
% 55.07/55.26 tff(1240,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1241,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1240, 7])).
% 55.07/55.26 tff(1242,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1096])).
% 55.07/55.26 tff(1243,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.07/55.26 inference(transitivity,[status(thm)],[1093, 1242, 1097])).
% 55.07/55.26 tff(1244,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1243])).
% 55.07/55.26 tff(1245,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1244])).
% 55.07/55.26 tff(1246,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(transitivity,[status(thm)],[1245, 1241])).
% 55.07/55.26 tff(1247,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1246])).
% 55.07/55.26 tff(1248,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(transitivity,[status(thm)],[1247, 1239, 1236, 1232, 1229, 1227])).
% 55.07/55.26 tff(1249,plain,
% 55.07/55.26 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1248])).
% 55.07/55.26 tff(1250,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1251,plain,
% 55.07/55.26 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1250, 7])).
% 55.07/55.26 tff(1252,plain,
% 55.07/55.26 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(monotonicity,[status(thm)],[1246])).
% 55.07/55.26 tff(1253,plain,
% 55.07/55.26 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(symmetry,[status(thm)],[1252])).
% 55.07/55.26 tff(1254,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1255,plain,
% 55.07/55.26 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1254, 7])).
% 55.07/55.26 tff(1256,plain,
% 55.07/55.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.26 inference(quant_inst,[status(thm)],[])).
% 55.07/55.26 tff(1257,plain,
% 55.07/55.26 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.26 inference(unit_resolution,[status(thm)],[1256, 7])).
% 55.07/55.26 tff(1258,plain,
% 55.07/55.26 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1257])).
% 55.07/55.27 tff(1259,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1258])).
% 55.07/55.27 tff(1260,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1259])).
% 55.07/55.27 tff(1261,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[1260, 1255, 1253])).
% 55.07/55.27 tff(1262,plain,
% 55.07/55.27 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1261])).
% 55.07/55.27 tff(1263,plain,
% 55.07/55.27 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1091])).
% 55.07/55.27 tff(1264,plain,
% 55.07/55.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(quant_inst,[status(thm)],[])).
% 55.07/55.27 tff(1265,plain,
% 55.07/55.27 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.27 inference(unit_resolution,[status(thm)],[1264, 7])).
% 55.07/55.27 tff(1266,plain,
% 55.07/55.27 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1265])).
% 55.07/55.27 tff(1267,plain,
% 55.07/55.27 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[1266, 1263])).
% 55.07/55.27 tff(1268,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1267])).
% 55.07/55.27 tff(1269,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1268])).
% 55.07/55.27 tff(1270,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1269])).
% 55.07/55.27 tff(1271,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1270])).
% 55.07/55.27 tff(1272,plain,
% 55.07/55.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(quant_inst,[status(thm)],[])).
% 55.07/55.27 tff(1273,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(unit_resolution,[status(thm)],[1272, 7])).
% 55.07/55.27 tff(1274,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1273])).
% 55.07/55.27 tff(1275,plain,
% 55.07/55.27 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1100])).
% 55.07/55.27 tff(1276,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1090])).
% 55.07/55.27 tff(1277,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1267])).
% 55.07/55.27 tff(1278,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[1277, 1276, 1275, 880, 876, 873])).
% 55.07/55.27 tff(1279,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1278])).
% 55.07/55.27 tff(1280,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1279])).
% 55.07/55.27 tff(1281,plain,
% 55.07/55.27 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[872, 875, 879])).
% 55.07/55.27 tff(1282,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1281])).
% 55.07/55.27 tff(1283,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1282])).
% 55.07/55.27 tff(1284,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[1283, 1280, 1274, 1271])).
% 55.07/55.27 tff(1285,plain,
% 55.07/55.27 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1284])).
% 55.07/55.27 tff(1286,plain,
% 55.07/55.27 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[1285, 1262, 1251, 1249])).
% 55.07/55.27 tff(1287,plain,
% 55.07/55.27 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1286])).
% 55.07/55.27 tff(1288,plain,
% 55.07/55.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.27 inference(quant_inst,[status(thm)],[])).
% 55.07/55.27 tff(1289,plain,
% 55.07/55.27 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.27 inference(unit_resolution,[status(thm)],[1288, 7])).
% 55.07/55.27 tff(1290,plain,
% 55.07/55.27 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[1270, 1273, 1279, 1282])).
% 55.07/55.27 tff(1291,plain,
% 55.07/55.27 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1290])).
% 55.07/55.27 tff(1292,plain,
% 55.07/55.27 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1255])).
% 55.07/55.27 tff(1293,plain,
% 55.07/55.27 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(transitivity,[status(thm)],[1252, 1292, 1259])).
% 55.07/55.27 tff(1294,plain,
% 55.07/55.27 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1293])).
% 55.07/55.27 tff(1295,plain,
% 55.07/55.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.27 inference(quant_inst,[status(thm)],[])).
% 55.07/55.27 tff(1296,plain,
% 55.07/55.27 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(unit_resolution,[status(thm)],[1295, 7])).
% 55.07/55.27 tff(1297,plain,
% 55.07/55.27 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1296])).
% 55.07/55.27 tff(1298,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[897])).
% 55.07/55.27 tff(1299,plain,
% 55.07/55.27 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1298])).
% 55.07/55.27 tff(1300,plain,
% 55.07/55.27 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.27 inference(monotonicity,[status(thm)],[1299])).
% 55.07/55.27 tff(1301,plain,
% 55.07/55.27 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.27 inference(symmetry,[status(thm)],[1300])).
% 55.07/55.27 tff(1302,plain,
% 55.07/55.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.27 inference(quant_inst,[status(thm)],[])).
% 55.07/55.27 tff(1303,plain,
% 55.07/55.27 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.28 inference(unit_resolution,[status(thm)],[1302, 7])).
% 55.07/55.28 tff(1304,plain,
% 55.07/55.28 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.28 inference(symmetry,[status(thm)],[1303])).
% 55.07/55.28 tff(1305,plain,
% 55.07/55.28 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))),
% 55.07/55.28 inference(transitivity,[status(thm)],[877, 895])).
% 55.07/55.28 tff(1306,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1305])).
% 55.07/55.28 tff(1307,plain,
% 55.07/55.28 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1306])).
% 55.07/55.28 tff(1308,plain,
% 55.07/55.28 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(transitivity,[status(thm)],[1307, 1304, 1301])).
% 55.07/55.28 tff(1309,plain,
% 55.07/55.28 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1308])).
% 55.07/55.28 tff(1310,plain,
% 55.07/55.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.28 inference(quant_inst,[status(thm)],[])).
% 55.07/55.28 tff(1311,plain,
% 55.07/55.28 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.28 inference(unit_resolution,[status(thm)],[1310, 7])).
% 55.07/55.28 tff(1312,plain,
% 55.07/55.28 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.28 inference(symmetry,[status(thm)],[1311])).
% 55.07/55.28 tff(1313,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.28 inference(symmetry,[status(thm)],[1306])).
% 55.07/55.28 tff(1314,plain,
% 55.07/55.28 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1313])).
% 55.07/55.28 tff(1315,plain,
% 55.07/55.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.28 inference(quant_inst,[status(thm)],[])).
% 55.07/55.28 tff(1316,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.28 inference(unit_resolution,[status(thm)],[1315, 7])).
% 55.07/55.28 tff(1317,plain,
% 55.07/55.28 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.07/55.28 inference(symmetry,[status(thm)],[905])).
% 55.07/55.28 tff(1318,plain,
% 55.07/55.28 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.07/55.28 inference(transitivity,[status(thm)],[872, 875, 879, 1317])).
% 55.07/55.28 tff(1319,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1318])).
% 55.07/55.28 tff(1320,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[881])).
% 55.07/55.28 tff(1321,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(transitivity,[status(thm)],[1320, 1319, 1316, 1314])).
% 55.07/55.28 tff(1322,plain,
% 55.07/55.28 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1321])).
% 55.07/55.28 tff(1323,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(symmetry,[status(thm)],[1320])).
% 55.07/55.28 tff(1324,plain,
% 55.07/55.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.28 inference(quant_inst,[status(thm)],[])).
% 55.07/55.28 tff(1325,plain,
% 55.07/55.28 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(unit_resolution,[status(thm)],[1324, 7])).
% 55.07/55.28 tff(1326,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[776])).
% 55.07/55.28 tff(1327,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.28 inference(symmetry,[status(thm)],[1326])).
% 55.07/55.28 tff(1328,plain,
% 55.07/55.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.28 inference(quant_inst,[status(thm)],[])).
% 55.07/55.28 tff(1329,plain,
% 55.07/55.28 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.07/55.28 inference(unit_resolution,[status(thm)],[1328, 7])).
% 55.07/55.28 tff(1330,plain,
% 55.07/55.28 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.07/55.28 inference(symmetry,[status(thm)],[1329])).
% 55.07/55.28 tff(1331,plain,
% 55.07/55.28 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.07/55.28 inference(transitivity,[status(thm)],[1330, 1327])).
% 55.07/55.28 tff(1332,plain,
% 55.07/55.28 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1331])).
% 55.07/55.28 tff(1333,plain,
% 55.07/55.28 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.28 inference(transitivity,[status(thm)],[1332, 1325, 1323])).
% 55.07/55.28 tff(1334,plain,
% 55.07/55.28 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.28 inference(monotonicity,[status(thm)],[1333])).
% 55.07/55.28 tff(1335,plain,
% 55.07/55.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.07/55.28 inference(quant_inst,[status(thm)],[])).
% 55.07/55.28 tff(1336,plain,
% 55.07/55.28 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.29 inference(unit_resolution,[status(thm)],[1335, 7])).
% 55.07/55.29 tff(1337,plain,
% 55.07/55.29 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1331])).
% 55.07/55.29 tff(1338,plain,
% 55.07/55.29 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1337])).
% 55.07/55.29 tff(1339,plain,
% 55.07/55.29 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1338])).
% 55.07/55.29 tff(1340,plain,
% 55.07/55.29 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.29 inference(transitivity,[status(thm)],[1339, 1336, 1334, 1322, 1312, 1309, 1297, 1294, 1291])).
% 55.07/55.29 tff(1341,plain,
% 55.07/55.29 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1340])).
% 55.07/55.29 tff(1342,plain,
% 55.07/55.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.29 inference(quant_inst,[status(thm)],[])).
% 55.07/55.29 tff(1343,plain,
% 55.07/55.29 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.29 inference(unit_resolution,[status(thm)],[1342, 7])).
% 55.07/55.29 tff(1344,plain,
% 55.07/55.29 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1343])).
% 55.07/55.29 tff(1345,plain,
% 55.07/55.29 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[803])).
% 55.07/55.29 tff(1346,plain,
% 55.07/55.29 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1345])).
% 55.07/55.29 tff(1347,plain,
% 55.07/55.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.29 inference(quant_inst,[status(thm)],[])).
% 55.07/55.29 tff(1348,plain,
% 55.07/55.29 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.29 inference(unit_resolution,[status(thm)],[1347, 7])).
% 55.07/55.29 tff(1349,plain,
% 55.07/55.29 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1348])).
% 55.07/55.29 tff(1350,plain,
% 55.07/55.29 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.29 inference(transitivity,[status(thm)],[1349, 1346])).
% 55.07/55.29 tff(1351,plain,
% 55.07/55.29 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1350])).
% 55.07/55.29 tff(1352,plain,
% 55.07/55.29 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1351])).
% 55.07/55.29 tff(1353,plain,
% 55.07/55.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.07/55.29 inference(quant_inst,[status(thm)],[])).
% 55.07/55.29 tff(1354,plain,
% 55.07/55.29 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.29 inference(unit_resolution,[status(thm)],[1353, 7])).
% 55.07/55.29 tff(1355,plain,
% 55.07/55.29 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[805])).
% 55.07/55.29 tff(1356,plain,
% 55.07/55.29 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1355])).
% 55.07/55.29 tff(1357,plain,
% 55.07/55.29 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.29 inference(transitivity,[status(thm)],[1356, 1354, 1352])).
% 55.07/55.29 tff(1358,plain,
% 55.07/55.29 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1357])).
% 55.07/55.29 tff(1359,plain,
% 55.07/55.29 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.29 inference(transitivity,[status(thm)],[1358, 1344, 1341, 1289, 1287])).
% 55.07/55.29 tff(1360,plain,
% 55.07/55.29 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1359])).
% 55.07/55.29 tff(1361,plain,
% 55.07/55.29 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1360])).
% 55.07/55.29 tff(1362,plain,
% 55.07/55.29 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.29 inference(transitivity,[status(thm)],[1361, 1214])).
% 55.07/55.29 tff(1363,plain,
% 55.07/55.29 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1362])).
% 55.07/55.29 tff(1364,plain,
% 55.07/55.29 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.29 inference(symmetry,[status(thm)],[1363])).
% 55.07/55.29 tff(1365,plain,
% 55.07/55.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.29 inference(quant_inst,[status(thm)],[])).
% 55.07/55.29 tff(1366,plain,
% 55.07/55.29 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.29 inference(unit_resolution,[status(thm)],[1365, 7])).
% 55.07/55.29 tff(1367,plain,
% 55.07/55.29 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.29 inference(transitivity,[status(thm)],[926, 865, 862, 1366, 1364])).
% 55.07/55.29 tff(1368,plain,
% 55.07/55.29 (lseg(x3, x9) = lseg(x3, x1)),
% 55.07/55.29 inference(monotonicity,[status(thm)],[486])).
% 55.07/55.29 tff(1369,plain,
% 55.07/55.29 (lseg(x3, x1) = lseg(x3, x9)),
% 55.07/55.29 inference(symmetry,[status(thm)],[1368])).
% 55.07/55.29 tff(1370,plain,
% 55.07/55.29 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1369, 1367])).
% 55.07/55.29 tff(1371,plain,
% 55.07/55.29 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.29 inference(transitivity,[status(thm)],[861, 864, 925])).
% 55.07/55.29 tff(1372,assumption,(x11 = x3), introduced(assumption)).
% 55.07/55.29 tff(1373,plain,
% 55.07/55.29 (lseg(x11, x9) = lseg(x3, x1)),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1372, 486])).
% 55.07/55.29 tff(1374,plain,
% 55.07/55.29 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.29 inference(monotonicity,[status(thm)],[1373, 1371])).
% 55.07/55.29 tff(1375,plain,
% 55.07/55.29 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.30 inference(transitivity,[status(thm)],[1138, 1374, 1370, 1211, 1208])).
% 55.07/55.30 tff(1376,plain,
% 55.07/55.30 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.07/55.30 inference(monotonicity,[status(thm)],[1375])).
% 55.07/55.30 tff(1377,plain,
% 55.07/55.30 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.30 inference(symmetry,[status(thm)],[1376])).
% 55.07/55.30 tff(1378,plain,
% 55.07/55.30 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.30 inference(transitivity,[status(thm)],[1377, 1178])).
% 55.07/55.30 tff(1379,plain,
% 55.07/55.30 (heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.30 inference(modus_ponens,[status(thm)],[464, 1378])).
% 55.07/55.30 tff(1380,plain,
% 55.07/55.30 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.30 inference(transitivity,[status(thm)],[427, 430])).
% 55.07/55.30 tff(1381,plain,
% 55.07/55.30 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.30 inference(monotonicity,[status(thm)],[1380])).
% 55.07/55.30 tff(1382,plain,
% 55.07/55.30 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.30 inference(symmetry,[status(thm)],[1381])).
% 55.07/55.30 tff(1383,plain,
% 55.07/55.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.30 inference(quant_inst,[status(thm)],[])).
% 55.07/55.30 tff(1384,plain,
% 55.07/55.30 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.30 inference(unit_resolution,[status(thm)],[1383, 7])).
% 55.07/55.30 tff(1385,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.30 inference(symmetry,[status(thm)],[1384])).
% 55.07/55.30 tff(1386,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.30 inference(transitivity,[status(thm)],[1385, 1382])).
% 55.07/55.30 tff(1387,plain,
% 55.07/55.30 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.30 inference(monotonicity,[status(thm)],[1386])).
% 55.07/55.30 tff(1388,plain,
% 55.07/55.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.30 inference(quant_inst,[status(thm)],[])).
% 55.07/55.30 tff(1389,plain,
% 55.07/55.30 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.30 inference(unit_resolution,[status(thm)],[1388, 7])).
% 55.07/55.30 tff(1390,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.30 inference(symmetry,[status(thm)],[1389])).
% 55.07/55.30 tff(1391,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.30 inference(transitivity,[status(thm)],[1390, 1387])).
% 55.07/55.30 tff(1392,plain,
% 55.07/55.30 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.30 inference(monotonicity,[status(thm)],[1391])).
% 55.07/55.30 tff(1393,plain,
% 55.07/55.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.30 inference(quant_inst,[status(thm)],[])).
% 55.07/55.30 tff(1394,plain,
% 55.07/55.30 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.30 inference(unit_resolution,[status(thm)],[1393, 7])).
% 55.07/55.30 tff(1395,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.30 inference(symmetry,[status(thm)],[1394])).
% 55.07/55.30 tff(1396,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.30 inference(transitivity,[status(thm)],[1395, 1392])).
% 55.07/55.30 tff(1397,plain,
% 55.07/55.30 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.30 inference(monotonicity,[status(thm)],[1396])).
% 55.07/55.30 tff(1398,plain,
% 55.07/55.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.30 inference(quant_inst,[status(thm)],[])).
% 55.07/55.30 tff(1399,plain,
% 55.07/55.30 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.30 inference(unit_resolution,[status(thm)],[1398, 7])).
% 55.07/55.30 tff(1400,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.30 inference(symmetry,[status(thm)],[1399])).
% 55.07/55.30 tff(1401,plain,
% 55.07/55.30 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.30 inference(transitivity,[status(thm)],[1400, 1397])).
% 55.07/55.30 tff(1402,plain,
% 55.07/55.30 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.30 inference(monotonicity,[status(thm)],[1401])).
% 55.07/55.30 tff(1403,plain,
% 55.07/55.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1404,plain,
% 55.07/55.31 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1403, 7])).
% 55.07/55.31 tff(1405,plain,
% 55.07/55.31 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1404])).
% 55.07/55.31 tff(1406,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1407,plain,
% 55.07/55.31 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1406, 7])).
% 55.07/55.31 tff(1408,plain,
% 55.07/55.31 (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))) = sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))),
% 55.07/55.31 inference(symmetry,[status(thm)],[548])).
% 55.07/55.31 tff(1409,plain,
% 55.07/55.31 (sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 55.07/55.31 inference(transitivity,[status(thm)],[422, 1408, 550])).
% 55.07/55.31 tff(1410,plain,
% 55.07/55.31 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1409])).
% 55.07/55.31 tff(1411,plain,
% 55.07/55.31 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1410])).
% 55.07/55.31 tff(1412,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1413,plain,
% 55.07/55.31 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1412, 7])).
% 55.07/55.31 tff(1414,plain,
% 55.07/55.31 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1413])).
% 55.07/55.31 tff(1415,plain,
% 55.07/55.31 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.07/55.31 inference(transitivity,[status(thm)],[1414, 1411])).
% 55.07/55.31 tff(1416,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1415])).
% 55.07/55.31 tff(1417,plain,
% 55.07/55.31 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1416])).
% 55.07/55.31 tff(1418,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1419,plain,
% 55.07/55.31 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1418, 7])).
% 55.07/55.31 tff(1420,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1419])).
% 55.07/55.31 tff(1421,plain,
% 55.07/55.31 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1415])).
% 55.07/55.31 tff(1422,plain,
% 55.07/55.31 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1421])).
% 55.07/55.31 tff(1423,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1422])).
% 55.07/55.31 tff(1424,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1425,plain,
% 55.07/55.31 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1424, 7])).
% 55.07/55.31 tff(1426,plain,
% 55.07/55.31 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1425])).
% 55.07/55.31 tff(1427,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1426])).
% 55.07/55.31 tff(1428,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(transitivity,[status(thm)],[1427, 1423, 1420, 1417])).
% 55.07/55.31 tff(1429,plain,
% 55.07/55.31 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1428])).
% 55.07/55.31 tff(1430,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1431,plain,
% 55.07/55.31 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1430, 7])).
% 55.07/55.31 tff(1432,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1431])).
% 55.07/55.31 tff(1433,plain,
% 55.07/55.31 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1426])).
% 55.07/55.31 tff(1434,plain,
% 55.07/55.31 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1433])).
% 55.07/55.31 tff(1435,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1434])).
% 55.07/55.31 tff(1436,plain,
% 55.07/55.31 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1422])).
% 55.07/55.31 tff(1437,plain,
% 55.07/55.31 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1436])).
% 55.07/55.31 tff(1438,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1439,plain,
% 55.07/55.31 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1438, 7])).
% 55.07/55.31 tff(1440,plain,
% 55.07/55.31 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1439])).
% 55.07/55.31 tff(1441,plain,
% 55.07/55.31 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.31 inference(transitivity,[status(thm)],[1440, 1437])).
% 55.07/55.31 tff(1442,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1441])).
% 55.07/55.31 tff(1443,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.31 inference(transitivity,[status(thm)],[1442, 1435, 1432, 1429])).
% 55.07/55.31 tff(1444,plain,
% 55.07/55.31 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1443])).
% 55.07/55.31 tff(1445,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 55.07/55.31 inference(quant_inst,[status(thm)],[])).
% 55.07/55.31 tff(1446,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.31 inference(unit_resolution,[status(thm)],[1445, 7])).
% 55.07/55.31 tff(1447,plain,
% 55.07/55.31 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1441])).
% 55.07/55.31 tff(1448,plain,
% 55.07/55.31 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.31 inference(symmetry,[status(thm)],[1447])).
% 55.07/55.31 tff(1449,plain,
% 55.07/55.31 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.31 inference(monotonicity,[status(thm)],[1448])).
% 55.07/55.31 tff(1450,plain,
% 55.07/55.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.32 inference(quant_inst,[status(thm)],[])).
% 55.07/55.32 tff(1451,plain,
% 55.07/55.32 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.32 inference(unit_resolution,[status(thm)],[1450, 7])).
% 55.07/55.32 tff(1452,plain,
% 55.07/55.32 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.32 inference(symmetry,[status(thm)],[1451])).
% 55.07/55.32 tff(1453,plain,
% 55.07/55.32 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.07/55.32 inference(transitivity,[status(thm)],[1452, 1447])).
% 55.07/55.32 tff(1454,plain,
% 55.07/55.32 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.07/55.32 inference(monotonicity,[status(thm)],[1453])).
% 55.07/55.32 tff(1455,plain,
% 55.07/55.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 55.07/55.32 inference(quant_inst,[status(thm)],[])).
% 55.07/55.32 tff(1456,plain,
% 55.07/55.32 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.32 inference(unit_resolution,[status(thm)],[1455, 7])).
% 55.07/55.32 tff(1457,plain,
% 55.07/55.32 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.32 inference(symmetry,[status(thm)],[1456])).
% 55.07/55.32 tff(1458,plain,
% 55.07/55.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.32 inference(quant_inst,[status(thm)],[])).
% 55.07/55.32 tff(1459,plain,
% 55.07/55.32 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.32 inference(unit_resolution,[status(thm)],[1458, 7])).
% 55.07/55.32 tff(1460,plain,
% 55.07/55.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.32 inference(quant_inst,[status(thm)],[])).
% 55.07/55.32 tff(1461,plain,
% 55.07/55.32 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.32 inference(unit_resolution,[status(thm)],[1460, 7])).
% 55.07/55.32 tff(1462,plain,
% 55.07/55.32 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 55.07/55.32 inference(symmetry,[status(thm)],[1416])).
% 55.07/55.32 tff(1463,plain,
% 55.07/55.32 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.32 inference(monotonicity,[status(thm)],[1462])).
% 55.07/55.32 tff(1464,plain,
% 55.07/55.32 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.07/55.32 inference(transitivity,[status(thm)],[1463, 1461])).
% 55.07/55.32 tff(1465,plain,
% 55.07/55.32 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.32 inference(monotonicity,[status(thm)],[1464])).
% 55.07/55.32 tff(1466,plain,
% 55.07/55.32 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.07/55.32 inference(transitivity,[status(thm)],[1465, 1459])).
% 55.07/55.32 tff(1467,plain,
% 55.07/55.32 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.07/55.32 inference(monotonicity,[status(thm)],[1466])).
% 55.07/55.32 tff(1468,plain,
% 55.07/55.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.32 inference(quant_inst,[status(thm)],[])).
% 55.07/55.32 tff(1469,plain,
% 55.07/55.32 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.07/55.32 inference(unit_resolution,[status(thm)],[1468, 7])).
% 55.07/55.32 tff(1470,plain,
% 55.07/55.32 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.07/55.32 inference(symmetry,[status(thm)],[1469])).
% 55.07/55.32 tff(1471,plain,
% 55.07/55.32 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.07/55.32 inference(monotonicity,[status(thm)],[1470])).
% 55.07/55.32 tff(1472,plain,
% 55.07/55.32 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(monotonicity,[status(thm)],[1471])).
% 55.16/55.32 tff(1473,plain,
% 55.16/55.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.32 inference(quant_inst,[status(thm)],[])).
% 55.16/55.32 tff(1474,plain,
% 55.16/55.32 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(unit_resolution,[status(thm)],[1473, 7])).
% 55.16/55.32 tff(1475,plain,
% 55.16/55.32 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(symmetry,[status(thm)],[1474])).
% 55.16/55.32 tff(1476,plain,
% 55.16/55.32 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 55.16/55.32 inference(transitivity,[status(thm)],[1470, 1462])).
% 55.16/55.32 tff(1477,plain,
% 55.16/55.32 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.16/55.32 inference(monotonicity,[status(thm)],[1476])).
% 55.16/55.32 tff(1478,plain,
% 55.16/55.32 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.32 inference(symmetry,[status(thm)],[1477])).
% 55.16/55.32 tff(1479,plain,
% 55.16/55.32 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(monotonicity,[status(thm)],[1478])).
% 55.16/55.32 tff(1480,plain,
% 55.16/55.32 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(transitivity,[status(thm)],[1479, 1475, 1472])).
% 55.16/55.32 tff(1481,plain,
% 55.16/55.32 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.32 inference(monotonicity,[status(thm)],[1480])).
% 55.16/55.32 tff(1482,plain,
% 55.16/55.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 55.16/55.32 inference(quant_inst,[status(thm)],[])).
% 55.16/55.32 tff(1483,plain,
% 55.16/55.32 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.16/55.32 inference(unit_resolution,[status(thm)],[1482, 7])).
% 55.16/55.32 tff(1484,plain,
% 55.16/55.32 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.16/55.32 inference(symmetry,[status(thm)],[1483])).
% 55.16/55.32 tff(1485,plain,
% 55.16/55.32 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(monotonicity,[status(thm)],[1478])).
% 55.16/55.32 tff(1486,plain,
% 55.16/55.32 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.16/55.32 inference(symmetry,[status(thm)],[1485])).
% 55.16/55.32 tff(1487,plain,
% 55.16/55.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.32 inference(quant_inst,[status(thm)],[])).
% 55.16/55.32 tff(1488,plain,
% 55.16/55.32 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(unit_resolution,[status(thm)],[1487, 7])).
% 55.16/55.32 tff(1489,plain,
% 55.16/55.32 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.32 inference(monotonicity,[status(thm)],[1469])).
% 55.16/55.32 tff(1490,plain,
% 55.16/55.32 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.32 inference(symmetry,[status(thm)],[1489])).
% 55.16/55.32 tff(1491,plain,
% 55.16/55.32 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(monotonicity,[status(thm)],[1490])).
% 55.16/55.32 tff(1492,plain,
% 55.16/55.32 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.32 inference(symmetry,[status(thm)],[1491])).
% 55.16/55.32 tff(1493,plain,
% 55.16/55.32 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.16/55.32 inference(transitivity,[status(thm)],[1492, 1488, 1486])).
% 55.16/55.32 tff(1494,plain,
% 55.16/55.32 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1493])).
% 55.16/55.33 tff(1495,plain,
% 55.16/55.33 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.33 inference(transitivity,[status(thm)],[1494, 1484, 1481, 1467, 1457, 1454, 1449, 1446, 1444])).
% 55.16/55.33 tff(1496,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1495])).
% 55.16/55.33 tff(1497,plain,
% 55.16/55.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.33 inference(quant_inst,[status(thm)],[])).
% 55.16/55.33 tff(1498,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.33 inference(unit_resolution,[status(thm)],[1497, 7])).
% 55.16/55.33 tff(1499,plain,
% 55.16/55.33 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.33 inference(symmetry,[status(thm)],[1498])).
% 55.16/55.33 tff(1500,plain,
% 55.16/55.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.33 inference(quant_inst,[status(thm)],[])).
% 55.16/55.33 tff(1501,plain,
% 55.16/55.33 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.33 inference(unit_resolution,[status(thm)],[1500, 7])).
% 55.16/55.33 tff(1502,plain,
% 55.16/55.33 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.33 inference(symmetry,[status(thm)],[1501])).
% 55.16/55.33 tff(1503,plain,
% 55.16/55.33 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.33 inference(transitivity,[status(thm)],[1502, 1490])).
% 55.16/55.33 tff(1504,plain,
% 55.16/55.33 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1503])).
% 55.16/55.33 tff(1505,plain,
% 55.16/55.33 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.33 inference(symmetry,[status(thm)],[1504])).
% 55.16/55.33 tff(1506,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1505])).
% 55.16/55.33 tff(1507,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.33 inference(symmetry,[status(thm)],[1506])).
% 55.16/55.33 tff(1508,plain,
% 55.16/55.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.33 inference(quant_inst,[status(thm)],[])).
% 55.16/55.33 tff(1509,plain,
% 55.16/55.33 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.33 inference(unit_resolution,[status(thm)],[1508, 7])).
% 55.16/55.33 tff(1510,plain,
% 55.16/55.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.16/55.33 inference(quant_inst,[status(thm)],[])).
% 55.16/55.33 tff(1511,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.16/55.33 inference(unit_resolution,[status(thm)],[1510, 7])).
% 55.16/55.33 tff(1512,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1462])).
% 55.16/55.33 tff(1513,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1470])).
% 55.16/55.33 tff(1514,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 55.16/55.33 inference(transitivity,[status(thm)],[1513, 1512, 1511])).
% 55.16/55.33 tff(1515,plain,
% 55.16/55.33 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1514])).
% 55.16/55.33 tff(1516,plain,
% 55.16/55.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.33 inference(quant_inst,[status(thm)],[])).
% 55.16/55.33 tff(1517,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.33 inference(unit_resolution,[status(thm)],[1516, 7])).
% 55.16/55.33 tff(1518,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1489])).
% 55.16/55.33 tff(1519,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1503])).
% 55.16/55.33 tff(1520,plain,
% 55.16/55.33 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 55.16/55.33 inference(transitivity,[status(thm)],[1519, 1518, 1517, 1515])).
% 55.16/55.33 tff(1521,plain,
% 55.16/55.33 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1520])).
% 55.16/55.33 tff(1522,plain,
% 55.16/55.33 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.33 inference(symmetry,[status(thm)],[1521])).
% 55.16/55.33 tff(1523,plain,
% 55.16/55.33 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.33 inference(transitivity,[status(thm)],[1522, 1509, 1507])).
% 55.16/55.33 tff(1524,plain,
% 55.16/55.33 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.33 inference(monotonicity,[status(thm)],[1523])).
% 55.16/55.33 tff(1525,plain,
% 55.16/55.33 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(transitivity,[status(thm)],[1524, 1499, 1496, 1407])).
% 55.16/55.34 tff(1526,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1525])).
% 55.16/55.34 tff(1527,plain,
% 55.16/55.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))),
% 55.16/55.34 inference(quant_inst,[status(thm)],[])).
% 55.16/55.34 tff(1528,plain,
% 55.16/55.34 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 55.16/55.34 inference(unit_resolution,[status(thm)],[1527, 7])).
% 55.16/55.34 tff(1529,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1523])).
% 55.16/55.34 tff(1530,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1529])).
% 55.16/55.34 tff(1531,plain,
% 55.16/55.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.34 inference(quant_inst,[status(thm)],[])).
% 55.16/55.34 tff(1532,plain,
% 55.16/55.34 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(unit_resolution,[status(thm)],[1531, 7])).
% 55.16/55.34 tff(1533,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1503])).
% 55.16/55.34 tff(1534,plain,
% 55.16/55.34 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1533])).
% 55.16/55.34 tff(1535,plain,
% 55.16/55.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(quant_inst,[status(thm)],[])).
% 55.16/55.34 tff(1536,plain,
% 55.16/55.34 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(unit_resolution,[status(thm)],[1535, 7])).
% 55.16/55.34 tff(1537,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1536])).
% 55.16/55.34 tff(1538,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1505])).
% 55.16/55.34 tff(1539,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(transitivity,[status(thm)],[1538, 1537, 1534])).
% 55.16/55.34 tff(1540,plain,
% 55.16/55.34 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1539])).
% 55.16/55.34 tff(1541,plain,
% 55.16/55.34 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1540])).
% 55.16/55.34 tff(1542,plain,
% 55.16/55.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.34 inference(quant_inst,[status(thm)],[])).
% 55.16/55.34 tff(1543,plain,
% 55.16/55.34 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(unit_resolution,[status(thm)],[1542, 7])).
% 55.16/55.34 tff(1544,plain,
% 55.16/55.34 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1543])).
% 55.16/55.34 tff(1545,plain,
% 55.16/55.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(quant_inst,[status(thm)],[])).
% 55.16/55.34 tff(1546,plain,
% 55.16/55.34 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(unit_resolution,[status(thm)],[1545, 7])).
% 55.16/55.34 tff(1547,plain,
% 55.16/55.34 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1546])).
% 55.16/55.34 tff(1548,plain,
% 55.16/55.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(quant_inst,[status(thm)],[])).
% 55.16/55.34 tff(1549,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.34 inference(unit_resolution,[status(thm)],[1548, 7])).
% 55.16/55.34 tff(1550,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1428])).
% 55.16/55.34 tff(1551,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1550])).
% 55.16/55.34 tff(1552,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.34 inference(transitivity,[status(thm)],[1551, 1549])).
% 55.16/55.34 tff(1553,plain,
% 55.16/55.34 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1552])).
% 55.16/55.34 tff(1554,plain,
% 55.16/55.34 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.34 inference(transitivity,[status(thm)],[1553, 1547])).
% 55.16/55.34 tff(1555,plain,
% 55.16/55.34 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1554])).
% 55.16/55.34 tff(1556,plain,
% 55.16/55.34 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1555])).
% 55.16/55.34 tff(1557,plain,
% 55.16/55.34 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 55.16/55.34 inference(transitivity,[status(thm)],[1556, 1544, 1541, 1532, 1530])).
% 55.16/55.34 tff(1558,plain,
% 55.16/55.34 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[1557])).
% 55.16/55.34 tff(1559,plain,
% 55.16/55.34 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.34 inference(transitivity,[status(thm)],[1558, 1528, 1526])).
% 55.16/55.34 tff(1560,plain,
% 55.16/55.34 (sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.34 inference(monotonicity,[status(thm)],[488, 1559])).
% 55.16/55.34 tff(1561,plain,
% 55.16/55.34 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.34 inference(symmetry,[status(thm)],[1558])).
% 55.16/55.34 tff(1562,plain,
% 55.16/55.34 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1528])).
% 55.16/55.35 tff(1563,plain,
% 55.16/55.35 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1526])).
% 55.16/55.35 tff(1564,plain,
% 55.16/55.35 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.35 inference(transitivity,[status(thm)],[1563, 1562, 1561])).
% 55.16/55.35 tff(1565,plain,
% 55.16/55.35 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1564])).
% 55.16/55.35 tff(1566,plain,
% 55.16/55.35 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1567,plain,
% 55.16/55.35 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1566, 500])).
% 55.16/55.35 tff(1568,plain,
% 55.16/55.35 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1567])).
% 55.16/55.35 tff(1569,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x11, x3), emp)) = sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1570,plain,
% 55.16/55.35 (sep(lseg(x3, x9), sep(lseg(x11, x3), emp)) = sep(lseg(x11, x3), sep(lseg(x3, x9), emp))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1569, 7])).
% 55.16/55.35 tff(1571,plain,
% 55.16/55.35 (sep(lseg(x11, x3), sep(lseg(x3, x9), emp)) = sep(lseg(x3, x9), sep(lseg(x11, x3), emp))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1570])).
% 55.16/55.35 tff(1572,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))) = sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1571])).
% 55.16/55.35 tff(1573,plain,
% 55.16/55.35 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1572])).
% 55.16/55.35 tff(1574,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1575,plain,
% 55.16/55.35 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1574, 7])).
% 55.16/55.35 tff(1576,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1575])).
% 55.16/55.35 tff(1577,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.16/55.35 inference(transitivity,[status(thm)],[1576, 1573])).
% 55.16/55.35 tff(1578,plain,
% 55.16/55.35 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1577])).
% 55.16/55.35 tff(1579,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1580,plain,
% 55.16/55.35 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1579, 7])).
% 55.16/55.35 tff(1581,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1580])).
% 55.16/55.35 tff(1582,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.16/55.35 inference(transitivity,[status(thm)],[1581, 1578])).
% 55.16/55.35 tff(1583,plain,
% 55.16/55.35 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1582])).
% 55.16/55.35 tff(1584,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1585,plain,
% 55.16/55.35 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1584, 7])).
% 55.16/55.35 tff(1586,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1585])).
% 55.16/55.35 tff(1587,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.16/55.35 inference(transitivity,[status(thm)],[1586, 1583])).
% 55.16/55.35 tff(1588,plain,
% 55.16/55.35 (sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1587])).
% 55.16/55.35 tff(1589,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1590,plain,
% 55.16/55.35 (sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1589, 7])).
% 55.16/55.35 tff(1591,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1590])).
% 55.16/55.35 tff(1592,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.35 inference(transitivity,[status(thm)],[1591, 1588])).
% 55.16/55.35 tff(1593,plain,
% 55.16/55.35 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1592])).
% 55.16/55.35 tff(1594,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1595,plain,
% 55.16/55.35 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1594, 7])).
% 55.16/55.35 tff(1596,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1595])).
% 55.16/55.35 tff(1597,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.35 inference(transitivity,[status(thm)],[1596, 1593])).
% 55.16/55.35 tff(1598,plain,
% 55.16/55.35 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1597])).
% 55.16/55.35 tff(1599,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1600,plain,
% 55.16/55.35 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1599, 7])).
% 55.16/55.35 tff(1601,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.16/55.35 inference(symmetry,[status(thm)],[1600])).
% 55.16/55.35 tff(1602,plain,
% 55.16/55.35 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.35 inference(transitivity,[status(thm)],[1601, 1598])).
% 55.16/55.35 tff(1603,plain,
% 55.16/55.35 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.35 inference(monotonicity,[status(thm)],[1602])).
% 55.16/55.35 tff(1604,plain,
% 55.16/55.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))))),
% 55.16/55.35 inference(quant_inst,[status(thm)],[])).
% 55.16/55.35 tff(1605,plain,
% 55.16/55.35 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.16/55.35 inference(unit_resolution,[status(thm)],[1604, 7])).
% 55.16/55.36 tff(1606,plain,
% 55.16/55.36 (sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.16/55.36 inference(symmetry,[status(thm)],[1605])).
% 55.16/55.36 tff(1607,assumption,(heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))), introduced(assumption)).
% 55.16/55.36 tff(1608,assumption,(~(x11 = x13)), introduced(assumption)).
% 55.16/55.36 tff(1609,plain,
% 55.16/55.36 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x13) | (x11 = x1) | (~heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x13) | (x11 = x1) | (~heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))))),
% 55.16/55.36 inference(rewrite,[status(thm)],[])).
% 55.16/55.36 tff(1610,plain,
% 55.16/55.36 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x13) | (x11 = x1) | (~heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))))),
% 55.16/55.36 inference(quant_inst,[status(thm)],[])).
% 55.16/55.36 tff(1611,plain,
% 55.16/55.36 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x13) | (x11 = x1) | (~heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))))))),
% 55.16/55.36 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 55.16/55.36 tff(1612,plain,
% 55.16/55.36 ((x11 = x13) | (x11 = x1) | (~heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))))))),
% 55.16/55.36 inference(unit_resolution,[status(thm)],[1611, 478])).
% 55.16/55.36 tff(1613,plain,
% 55.16/55.36 (x11 = x1),
% 55.16/55.36 inference(unit_resolution,[status(thm)],[1612, 1608, 1607])).
% 55.16/55.36 tff(1614,plain,
% 55.16/55.36 (x1 = x11),
% 55.16/55.36 inference(symmetry,[status(thm)],[1613])).
% 55.16/55.36 tff(1615,plain,
% 55.16/55.36 (lseg(x1, x13) = lseg(x11, x13)),
% 55.16/55.36 inference(monotonicity,[status(thm)],[1614])).
% 55.16/55.36 tff(1616,plain,
% 55.16/55.36 (sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.16/55.36 inference(monotonicity,[status(thm)],[1615])).
% 55.16/55.36 tff(1617,plain,
% 55.16/55.36 (sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.36 inference(transitivity,[status(thm)],[1616, 1606, 1603, 1568, 1565, 1560, 1405, 1402])).
% 55.16/55.36 tff(1618,plain,
% 55.16/55.36 (sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.16/55.36 inference(monotonicity,[status(thm)],[993, 1617])).
% 55.16/55.36 tff(1619,plain,
% 55.16/55.36 (sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.16/55.36 inference(transitivity,[status(thm)],[1618, 272, 269])).
% 55.16/55.36 tff(1620,plain,
% 55.16/55.36 (heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.16/55.36 inference(monotonicity,[status(thm)],[1619])).
% 55.16/55.36 tff(1621,plain,
% 55.16/55.36 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))),
% 55.16/55.36 inference(symmetry,[status(thm)],[1620])).
% 55.16/55.36 tff(1622,plain,
% 55.16/55.36 (heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))),
% 55.16/55.36 inference(modus_ponens,[status(thm)],[464, 1621])).
% 55.16/55.36 tff(1623,plain,
% 55.16/55.36 ((x1 = x13) <=> (x11 = x13)),
% 55.16/55.36 inference(monotonicity,[status(thm)],[1614])).
% 55.16/55.36 tff(1624,plain,
% 55.16/55.36 ((x11 = x13) <=> (x1 = x13)),
% 55.16/55.36 inference(symmetry,[status(thm)],[1623])).
% 55.16/55.36 tff(1625,plain,
% 55.16/55.36 ((~(x11 = x13)) <=> (~(x1 = x13))),
% 55.16/55.36 inference(monotonicity,[status(thm)],[1624])).
% 55.16/55.36 tff(1626,plain,
% 55.16/55.36 (~(x1 = x13)),
% 55.16/55.36 inference(modus_ponens,[status(thm)],[1608, 1625])).
% 55.16/55.36 tff(1627,plain,
% 55.16/55.36 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x14) | (x1 = x13) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x14) | (x1 = x13) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))))),
% 55.16/55.36 inference(rewrite,[status(thm)],[])).
% 55.16/55.36 tff(1628,plain,
% 55.16/55.36 (((x1 = x13) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))))))) <=> ((x1 = x14) | (x1 = x13) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))))),
% 55.16/55.36 inference(rewrite,[status(thm)],[])).
% 55.16/55.36 tff(1629,plain,
% 55.16/55.36 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x13) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x14) | (x1 = x13) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))))))))),
% 55.16/55.36 inference(monotonicity,[status(thm)],[1628])).
% 55.16/55.36 tff(1630,plain,
% 55.16/55.36 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x13) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x14) | (x1 = x13) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))))),
% 55.16/55.36 inference(transitivity,[status(thm)],[1629, 1627])).
% 55.16/55.36 tff(1631,plain,
% 55.16/55.36 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x13) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))))))),
% 55.16/55.36 inference(quant_inst,[status(thm)],[])).
% 55.16/55.36 tff(1632,plain,
% 55.16/55.36 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x14) | (x1 = x13) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))))))),
% 55.16/55.36 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 55.16/55.36 tff(1633,plain,
% 55.16/55.36 ($false),
% 55.16/55.36 inference(unit_resolution,[status(thm)],[1632, 478, 1004, 1626, 1622])).
% 55.16/55.36 tff(1634,plain,((x11 = x13) | (~heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))))))), inference(lemma,lemma(discharge,[]))).
% 55.16/55.36 tff(1635,plain,
% 55.16/55.36 (x11 = x13),
% 55.16/55.36 inference(unit_resolution,[status(thm)],[1634, 1379])).
% 55.16/55.36 tff(1636,plain,
% 55.16/55.36 (x13 = x11),
% 55.16/55.36 inference(symmetry,[status(thm)],[1635])).
% 55.16/55.36 tff(1637,plain,
% 55.16/55.36 (lseg(x13, x12) = lseg(x11, x12)),
% 55.16/55.36 inference(monotonicity,[status(thm)],[1636])).
% 55.16/55.36 tff(1638,plain,
% 55.16/55.36 (lseg(x11, x12) = lseg(x13, x12)),
% 55.16/55.36 inference(symmetry,[status(thm)],[1637])).
% 55.16/55.36 tff(1639,plain,
% 55.16/55.36 (sep(lseg(x11, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(monotonicity,[status(thm)],[1638, 714])).
% 55.16/55.37 tff(1640,plain,
% 55.16/55.37 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[713])).
% 55.16/55.37 tff(1641,plain,
% 55.16/55.37 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[709])).
% 55.16/55.37 tff(1642,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[696])).
% 55.16/55.37 tff(1643,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[683])).
% 55.16/55.37 tff(1644,plain,
% 55.16/55.37 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[670])).
% 55.16/55.37 tff(1645,plain,
% 55.16/55.37 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[649])).
% 55.16/55.37 tff(1646,plain,
% 55.16/55.37 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[638])).
% 55.16/55.37 tff(1647,plain,
% 55.16/55.37 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[636])).
% 55.16/55.37 tff(1648,plain,
% 55.16/55.37 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(transitivity,[status(thm)],[1647, 1646, 1645, 1644, 672, 1643, 1642, 698, 1641, 1640])).
% 55.16/55.37 tff(1649,plain,
% 55.16/55.37 (x3 = x11),
% 55.16/55.37 inference(symmetry,[status(thm)],[1372])).
% 55.16/55.37 tff(1650,plain,
% 55.16/55.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(quant_inst,[status(thm)],[])).
% 55.16/55.37 tff(1651,plain,
% 55.16/55.37 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(unit_resolution,[status(thm)],[1650, 7])).
% 55.16/55.37 tff(1652,plain,
% 55.16/55.37 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[1651])).
% 55.16/55.37 tff(1653,plain,
% 55.16/55.37 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(transitivity,[status(thm)],[1652, 937])).
% 55.16/55.37 tff(1654,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(monotonicity,[status(thm)],[1653])).
% 55.16/55.37 tff(1655,plain,
% 55.16/55.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.16/55.37 inference(quant_inst,[status(thm)],[])).
% 55.16/55.37 tff(1656,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(unit_resolution,[status(thm)],[1655, 7])).
% 55.16/55.37 tff(1657,plain,
% 55.16/55.37 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[1656])).
% 55.16/55.37 tff(1658,plain,
% 55.16/55.37 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(transitivity,[status(thm)],[1657, 1654])).
% 55.16/55.37 tff(1659,plain,
% 55.16/55.37 (sep(lseg(x11, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.16/55.37 inference(monotonicity,[status(thm)],[1638, 1658])).
% 55.16/55.37 tff(1660,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[1654])).
% 55.16/55.37 tff(1661,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(monotonicity,[status(thm)],[247])).
% 55.16/55.37 tff(1662,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[1661])).
% 55.16/55.37 tff(1663,plain,
% 55.16/55.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.16/55.37 inference(quant_inst,[status(thm)],[])).
% 55.16/55.37 tff(1664,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(unit_resolution,[status(thm)],[1663, 7])).
% 55.16/55.37 tff(1665,plain,
% 55.16/55.37 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[1664])).
% 55.16/55.37 tff(1666,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(monotonicity,[status(thm)],[1197])).
% 55.16/55.37 tff(1667,plain,
% 55.16/55.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(quant_inst,[status(thm)],[])).
% 55.16/55.37 tff(1668,plain,
% 55.16/55.37 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(unit_resolution,[status(thm)],[1667, 7])).
% 55.16/55.37 tff(1669,plain,
% 55.16/55.37 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(symmetry,[status(thm)],[1668])).
% 55.16/55.37 tff(1670,plain,
% 55.16/55.37 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.37 inference(transitivity,[status(thm)],[1669, 1666])).
% 55.16/55.37 tff(1671,plain,
% 55.16/55.37 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.37 inference(monotonicity,[status(thm)],[1670])).
% 55.16/55.37 tff(1672,plain,
% 55.16/55.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.16/55.38 inference(quant_inst,[status(thm)],[])).
% 55.16/55.38 tff(1673,plain,
% 55.16/55.38 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.38 inference(unit_resolution,[status(thm)],[1672, 7])).
% 55.16/55.38 tff(1674,plain,
% 55.16/55.38 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[1673])).
% 55.16/55.38 tff(1675,plain,
% 55.16/55.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(quant_inst,[status(thm)],[])).
% 55.16/55.38 tff(1676,plain,
% 55.16/55.38 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(unit_resolution,[status(thm)],[1675, 7])).
% 55.16/55.38 tff(1677,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[1676])).
% 55.16/55.38 tff(1678,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(monotonicity,[status(thm)],[909])).
% 55.16/55.38 tff(1679,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(transitivity,[status(thm)],[1678, 1677])).
% 55.16/55.38 tff(1680,plain,
% 55.16/55.38 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(monotonicity,[status(thm)],[1679])).
% 55.16/55.38 tff(1681,plain,
% 55.16/55.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.38 inference(quant_inst,[status(thm)],[])).
% 55.16/55.38 tff(1682,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(unit_resolution,[status(thm)],[1681, 7])).
% 55.16/55.38 tff(1683,plain,
% 55.16/55.38 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[890])).
% 55.16/55.38 tff(1684,plain,
% 55.16/55.38 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[889])).
% 55.16/55.38 tff(1685,plain,
% 55.16/55.38 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[885])).
% 55.16/55.38 tff(1686,plain,
% 55.16/55.38 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.16/55.38 inference(transitivity,[status(thm)],[882, 1685, 1684, 1683])).
% 55.16/55.38 tff(1687,plain,
% 55.16/55.38 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(monotonicity,[status(thm)],[1686])).
% 55.16/55.38 tff(1688,plain,
% 55.16/55.38 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[1687])).
% 55.16/55.38 tff(1689,plain,
% 55.16/55.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(quant_inst,[status(thm)],[])).
% 55.16/55.38 tff(1690,plain,
% 55.16/55.38 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(unit_resolution,[status(thm)],[1689, 7])).
% 55.16/55.38 tff(1691,plain,
% 55.16/55.38 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(monotonicity,[status(thm)],[743])).
% 55.16/55.38 tff(1692,plain,
% 55.16/55.38 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[1691])).
% 55.16/55.38 tff(1693,plain,
% 55.16/55.38 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(transitivity,[status(thm)],[1692, 1690, 1688])).
% 55.16/55.38 tff(1694,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(monotonicity,[status(thm)],[1693])).
% 55.16/55.38 tff(1695,plain,
% 55.16/55.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.16/55.38 inference(quant_inst,[status(thm)],[])).
% 55.16/55.38 tff(1696,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(unit_resolution,[status(thm)],[1695, 7])).
% 55.16/55.38 tff(1697,plain,
% 55.16/55.38 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[1696])).
% 55.16/55.38 tff(1698,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(monotonicity,[status(thm)],[781])).
% 55.16/55.38 tff(1699,plain,
% 55.16/55.38 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.16/55.38 inference(symmetry,[status(thm)],[1698])).
% 55.16/55.38 tff(1700,plain,
% 55.16/55.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.16/55.38 inference(quant_inst,[status(thm)],[])).
% 55.16/55.38 tff(1701,plain,
% 55.16/55.38 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(unit_resolution,[status(thm)],[1700, 7])).
% 55.23/55.39 tff(1702,plain,
% 55.23/55.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(quant_inst,[status(thm)],[])).
% 55.23/55.39 tff(1703,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.39 inference(unit_resolution,[status(thm)],[1702, 7])).
% 55.23/55.39 tff(1704,plain,
% 55.23/55.39 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1703])).
% 55.23/55.39 tff(1705,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1704])).
% 55.23/55.39 tff(1706,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1705])).
% 55.23/55.39 tff(1707,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[803])).
% 55.23/55.39 tff(1708,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1707])).
% 55.23/55.39 tff(1709,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1708])).
% 55.23/55.39 tff(1710,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1709])).
% 55.23/55.39 tff(1711,plain,
% 55.23/55.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.23/55.39 inference(quant_inst,[status(thm)],[])).
% 55.23/55.39 tff(1712,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.39 inference(unit_resolution,[status(thm)],[1711, 7])).
% 55.23/55.39 tff(1713,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1712])).
% 55.23/55.39 tff(1714,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[805])).
% 55.23/55.39 tff(1715,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1714])).
% 55.23/55.39 tff(1716,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(transitivity,[status(thm)],[1715, 1713, 1710, 1706, 1701, 1699])).
% 55.23/55.39 tff(1717,plain,
% 55.23/55.39 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1716])).
% 55.23/55.39 tff(1718,plain,
% 55.23/55.39 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.39 inference(transitivity,[status(thm)],[1717, 1697, 1694, 1682, 1680])).
% 55.23/55.39 tff(1719,plain,
% 55.23/55.39 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1718])).
% 55.23/55.39 tff(1720,plain,
% 55.23/55.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.39 inference(quant_inst,[status(thm)],[])).
% 55.23/55.39 tff(1721,plain,
% 55.23/55.39 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.39 inference(unit_resolution,[status(thm)],[1720, 7])).
% 55.23/55.39 tff(1722,plain,
% 55.23/55.39 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1701])).
% 55.23/55.39 tff(1723,plain,
% 55.23/55.39 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(transitivity,[status(thm)],[1698, 1722, 1705, 1709, 1712, 1714])).
% 55.23/55.39 tff(1724,plain,
% 55.23/55.39 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1723])).
% 55.23/55.39 tff(1725,plain,
% 55.23/55.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.39 inference(quant_inst,[status(thm)],[])).
% 55.23/55.39 tff(1726,plain,
% 55.23/55.39 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.39 inference(unit_resolution,[status(thm)],[1725, 7])).
% 55.23/55.39 tff(1727,plain,
% 55.23/55.39 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[782])).
% 55.23/55.39 tff(1728,plain,
% 55.23/55.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(quant_inst,[status(thm)],[])).
% 55.23/55.39 tff(1729,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.39 inference(unit_resolution,[status(thm)],[1728, 7])).
% 55.23/55.39 tff(1730,plain,
% 55.23/55.39 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1729])).
% 55.23/55.39 tff(1731,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1730])).
% 55.23/55.39 tff(1732,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1731])).
% 55.23/55.39 tff(1733,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(transitivity,[status(thm)],[1732, 756, 1727])).
% 55.23/55.39 tff(1734,plain,
% 55.23/55.39 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1733])).
% 55.23/55.39 tff(1735,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1331])).
% 55.23/55.39 tff(1736,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.39 inference(monotonicity,[status(thm)],[1735])).
% 55.23/55.39 tff(1737,plain,
% 55.23/55.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.23/55.39 inference(quant_inst,[status(thm)],[])).
% 55.23/55.39 tff(1738,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.39 inference(unit_resolution,[status(thm)],[1737, 7])).
% 55.23/55.39 tff(1739,plain,
% 55.23/55.39 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.39 inference(symmetry,[status(thm)],[1738])).
% 55.23/55.39 tff(1740,plain,
% 55.23/55.39 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[1331])).
% 55.23/55.40 tff(1741,plain,
% 55.23/55.40 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1740])).
% 55.23/55.40 tff(1742,plain,
% 55.23/55.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(quant_inst,[status(thm)],[])).
% 55.23/55.40 tff(1743,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.40 inference(unit_resolution,[status(thm)],[1742, 7])).
% 55.23/55.40 tff(1744,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[778])).
% 55.23/55.40 tff(1745,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1744])).
% 55.23/55.40 tff(1746,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.23/55.40 inference(transitivity,[status(thm)],[1745, 1743, 1741])).
% 55.23/55.40 tff(1747,plain,
% 55.23/55.40 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[1746])).
% 55.23/55.40 tff(1748,plain,
% 55.23/55.40 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(transitivity,[status(thm)],[1747, 1739, 1736])).
% 55.23/55.40 tff(1749,plain,
% 55.23/55.40 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[1748])).
% 55.23/55.40 tff(1750,plain,
% 55.23/55.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.40 inference(quant_inst,[status(thm)],[])).
% 55.23/55.40 tff(1751,plain,
% 55.23/55.40 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(unit_resolution,[status(thm)],[1750, 7])).
% 55.23/55.40 tff(1752,plain,
% 55.23/55.40 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1751])).
% 55.23/55.40 tff(1753,plain,
% 55.23/55.40 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[866])).
% 55.23/55.40 tff(1754,plain,
% 55.23/55.40 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1753])).
% 55.23/55.40 tff(1755,plain,
% 55.23/55.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(quant_inst,[status(thm)],[])).
% 55.23/55.40 tff(1756,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(unit_resolution,[status(thm)],[1755, 7])).
% 55.23/55.40 tff(1757,plain,
% 55.23/55.40 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[728])).
% 55.23/55.40 tff(1758,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[1757])).
% 55.23/55.40 tff(1759,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1758])).
% 55.23/55.40 tff(1760,plain,
% 55.23/55.40 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.40 inference(transitivity,[status(thm)],[1759, 1756, 1754])).
% 55.23/55.40 tff(1761,plain,
% 55.23/55.40 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[1760])).
% 55.23/55.40 tff(1762,plain,
% 55.23/55.40 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(transitivity,[status(thm)],[1761, 1752, 1749, 1734, 1726, 1724])).
% 55.23/55.40 tff(1763,plain,
% 55.23/55.40 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.40 inference(monotonicity,[status(thm)],[1762])).
% 55.23/55.40 tff(1764,plain,
% 55.23/55.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.40 inference(quant_inst,[status(thm)],[])).
% 55.23/55.40 tff(1765,plain,
% 55.23/55.40 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.40 inference(unit_resolution,[status(thm)],[1764, 7])).
% 55.23/55.40 tff(1766,plain,
% 55.23/55.40 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1765])).
% 55.23/55.40 tff(1767,plain,
% 55.23/55.40 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1358])).
% 55.23/55.40 tff(1768,plain,
% 55.23/55.40 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.40 inference(symmetry,[status(thm)],[1341])).
% 55.23/55.41 tff(1769,plain,
% 55.23/55.41 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1289])).
% 55.23/55.41 tff(1770,plain,
% 55.23/55.41 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1287])).
% 55.23/55.41 tff(1771,plain,
% 55.23/55.41 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(transitivity,[status(thm)],[1770, 1769, 1768, 1343, 1767])).
% 55.23/55.41 tff(1772,plain,
% 55.23/55.41 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1771])).
% 55.23/55.41 tff(1773,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(transitivity,[status(thm)],[1289, 1287])).
% 55.23/55.41 tff(1774,plain,
% 55.23/55.41 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1773])).
% 55.23/55.41 tff(1775,plain,
% 55.23/55.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.41 inference(quant_inst,[status(thm)],[])).
% 55.23/55.41 tff(1776,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(unit_resolution,[status(thm)],[1775, 7])).
% 55.23/55.41 tff(1777,plain,
% 55.23/55.41 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.41 inference(transitivity,[status(thm)],[1322, 1312, 1309, 1297, 1294, 1291])).
% 55.23/55.41 tff(1778,plain,
% 55.23/55.41 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1777])).
% 55.23/55.41 tff(1779,plain,
% 55.23/55.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(quant_inst,[status(thm)],[])).
% 55.23/55.41 tff(1780,plain,
% 55.23/55.41 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(unit_resolution,[status(thm)],[1779, 7])).
% 55.23/55.41 tff(1781,plain,
% 55.23/55.41 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(transitivity,[status(thm)],[1780, 1778])).
% 55.23/55.41 tff(1782,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1781])).
% 55.23/55.41 tff(1783,plain,
% 55.23/55.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.41 inference(quant_inst,[status(thm)],[])).
% 55.23/55.41 tff(1784,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(unit_resolution,[status(thm)],[1783, 7])).
% 55.23/55.41 tff(1785,plain,
% 55.23/55.41 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1784])).
% 55.23/55.41 tff(1786,plain,
% 55.23/55.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.41 inference(quant_inst,[status(thm)],[])).
% 55.23/55.41 tff(1787,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(unit_resolution,[status(thm)],[1786, 7])).
% 55.23/55.41 tff(1788,plain,
% 55.23/55.41 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1787])).
% 55.23/55.41 tff(1789,plain,
% 55.23/55.41 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[899])).
% 55.23/55.41 tff(1790,plain,
% 55.23/55.41 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1789])).
% 55.23/55.41 tff(1791,plain,
% 55.23/55.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.41 inference(quant_inst,[status(thm)],[])).
% 55.23/55.41 tff(1792,plain,
% 55.23/55.41 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.23/55.41 inference(unit_resolution,[status(thm)],[1791, 7])).
% 55.23/55.41 tff(1793,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1792])).
% 55.23/55.41 tff(1794,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.41 inference(transitivity,[status(thm)],[1793, 1790])).
% 55.23/55.41 tff(1795,plain,
% 55.23/55.41 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1794])).
% 55.23/55.41 tff(1796,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1313])).
% 55.23/55.41 tff(1797,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1796])).
% 55.23/55.41 tff(1798,plain,
% 55.23/55.41 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1797])).
% 55.23/55.41 tff(1799,plain,
% 55.23/55.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(quant_inst,[status(thm)],[])).
% 55.23/55.41 tff(1800,plain,
% 55.23/55.41 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.41 inference(unit_resolution,[status(thm)],[1799, 7])).
% 55.23/55.41 tff(1801,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1800])).
% 55.23/55.41 tff(1802,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1321])).
% 55.23/55.41 tff(1803,plain,
% 55.23/55.41 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.41 inference(transitivity,[status(thm)],[1802, 1801, 1798, 1795])).
% 55.23/55.41 tff(1804,plain,
% 55.23/55.41 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(monotonicity,[status(thm)],[1803])).
% 55.23/55.41 tff(1805,plain,
% 55.23/55.41 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.41 inference(symmetry,[status(thm)],[1804])).
% 55.23/55.41 tff(1806,plain,
% 55.23/55.41 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.42 inference(transitivity,[status(thm)],[1805, 1788])).
% 55.23/55.42 tff(1807,plain,
% 55.23/55.42 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1806])).
% 55.23/55.42 tff(1808,plain,
% 55.23/55.42 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(transitivity,[status(thm)],[1807, 1785, 1782, 1776, 1774, 1772, 1766, 1763, 1721, 1719])).
% 55.23/55.42 tff(1809,plain,
% 55.23/55.42 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1369, 1808])).
% 55.23/55.42 tff(1810,plain,
% 55.23/55.42 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1807])).
% 55.23/55.42 tff(1811,plain,
% 55.23/55.42 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1782])).
% 55.23/55.42 tff(1812,plain,
% 55.23/55.42 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1776])).
% 55.23/55.42 tff(1813,plain,
% 55.23/55.42 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1774])).
% 55.23/55.42 tff(1814,plain,
% 55.23/55.42 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1772])).
% 55.23/55.42 tff(1815,plain,
% 55.23/55.42 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1763])).
% 55.23/55.42 tff(1816,plain,
% 55.23/55.42 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1721])).
% 55.23/55.42 tff(1817,plain,
% 55.23/55.42 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1719])).
% 55.23/55.42 tff(1818,plain,
% 55.23/55.42 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.42 inference(transitivity,[status(thm)],[1817, 1816, 1815, 1765, 1814, 1813, 1812, 1811, 1784, 1810])).
% 55.23/55.42 tff(1819,plain,
% 55.23/55.42 (sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1818])).
% 55.23/55.42 tff(1820,plain,
% 55.23/55.42 (sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.42 inference(transitivity,[status(thm)],[1819, 1809, 1674, 1671, 1665, 1662, 1660, 1656])).
% 55.23/55.42 tff(1821,plain,
% 55.23/55.42 (lseg(x3, x12) = lseg(x11, x12)),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1649])).
% 55.23/55.42 tff(1822,plain,
% 55.23/55.42 (sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1821, 1820])).
% 55.23/55.42 tff(1823,plain,
% 55.23/55.42 (sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.23/55.42 inference(transitivity,[status(thm)],[1822, 1659, 933])).
% 55.23/55.42 tff(1824,plain,
% 55.23/55.42 (heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1823])).
% 55.23/55.42 tff(1825,plain,
% 55.23/55.42 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.23/55.42 inference(symmetry,[status(thm)],[1824])).
% 55.23/55.42 tff(1826,plain,
% 55.23/55.42 (heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.23/55.42 inference(modus_ponens,[status(thm)],[464, 1825])).
% 55.23/55.42 tff(1827,plain,
% 55.23/55.42 (x3 = x13),
% 55.23/55.42 inference(transitivity,[status(thm)],[1649, 1635])).
% 55.23/55.42 tff(1828,plain,
% 55.23/55.42 ((x3 = x12) <=> (x13 = x12)),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1827])).
% 55.23/55.42 tff(1829,plain,
% 55.23/55.42 ((x13 = x12) <=> (x3 = x12)),
% 55.23/55.42 inference(symmetry,[status(thm)],[1828])).
% 55.23/55.42 tff(1830,plain,
% 55.23/55.42 ((~(x13 = x12)) <=> (~(x3 = x12))),
% 55.23/55.42 inference(monotonicity,[status(thm)],[1829])).
% 55.23/55.42 tff(1831,plain,
% 55.23/55.42 (~(x3 = x12)),
% 55.23/55.42 inference(modus_ponens,[status(thm)],[581, 1830])).
% 55.23/55.42 tff(1832,plain,
% 55.23/55.42 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x1) | (x3 = x12) | (~heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x1) | (x3 = x12) | (~heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.23/55.42 inference(rewrite,[status(thm)],[])).
% 55.23/55.42 tff(1833,plain,
% 55.23/55.42 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x1) | (x3 = x12) | (~heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.23/55.42 inference(quant_inst,[status(thm)],[])).
% 55.23/55.42 tff(1834,plain,
% 55.23/55.42 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x1) | (x3 = x12) | (~heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.23/55.42 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 55.23/55.43 tff(1835,plain,
% 55.23/55.43 ((x3 = x1) | (x3 = x12) | (~heap(sep(lseg(x3, x12), sep(lseg(x3, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.23/55.43 inference(unit_resolution,[status(thm)],[1834, 478])).
% 55.23/55.43 tff(1836,plain,
% 55.23/55.43 (x3 = x1),
% 55.23/55.43 inference(unit_resolution,[status(thm)],[1835, 1831, 1826])).
% 55.23/55.43 tff(1837,plain,
% 55.23/55.43 (x1 = x3),
% 55.23/55.43 inference(symmetry,[status(thm)],[1836])).
% 55.23/55.43 tff(1838,plain,
% 55.23/55.43 (x1 = x11),
% 55.23/55.43 inference(transitivity,[status(thm)],[1837, 1649])).
% 55.23/55.43 tff(1839,plain,
% 55.23/55.43 (lseg(x1, x12) = lseg(x11, x12)),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1838])).
% 55.23/55.43 tff(1840,plain,
% 55.23/55.43 (sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1839, 1648])).
% 55.23/55.43 tff(1841,plain,
% 55.23/55.43 (sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.43 inference(transitivity,[status(thm)],[1840, 1639, 635, 632, 584, 582])).
% 55.23/55.43 tff(1842,plain,
% 55.23/55.43 (sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[993, 1841])).
% 55.23/55.43 tff(1843,plain,
% 55.23/55.43 (sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.23/55.43 inference(transitivity,[status(thm)],[1842, 272, 269])).
% 55.23/55.43 tff(1844,plain,
% 55.23/55.43 (heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1843])).
% 55.23/55.43 tff(1845,plain,
% 55.23/55.43 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.23/55.43 inference(symmetry,[status(thm)],[1844])).
% 55.23/55.43 tff(1846,plain,
% 55.23/55.43 (heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.23/55.43 inference(modus_ponens,[status(thm)],[464, 1845])).
% 55.23/55.43 tff(1847,plain,
% 55.23/55.43 (x1 = x13),
% 55.23/55.43 inference(transitivity,[status(thm)],[1837, 1649, 1635])).
% 55.23/55.43 tff(1848,plain,
% 55.23/55.43 ((x1 = x12) <=> (x13 = x12)),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1847])).
% 55.23/55.43 tff(1849,plain,
% 55.23/55.43 ((x13 = x12) <=> (x1 = x12)),
% 55.23/55.43 inference(symmetry,[status(thm)],[1848])).
% 55.23/55.43 tff(1850,plain,
% 55.23/55.43 ((~(x13 = x12)) <=> (~(x1 = x12))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1849])).
% 55.23/55.43 tff(1851,plain,
% 55.23/55.43 (~(x1 = x12)),
% 55.23/55.43 inference(modus_ponens,[status(thm)],[581, 1850])).
% 55.23/55.43 tff(1852,plain,
% 55.23/55.43 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x14) | (x1 = x12) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x14) | (x1 = x12) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.23/55.43 inference(rewrite,[status(thm)],[])).
% 55.23/55.43 tff(1853,plain,
% 55.23/55.43 (((x1 = x12) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((x1 = x14) | (x1 = x12) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.23/55.43 inference(rewrite,[status(thm)],[])).
% 55.23/55.43 tff(1854,plain,
% 55.23/55.43 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x12) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x14) | (x1 = x12) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1853])).
% 55.23/55.43 tff(1855,plain,
% 55.23/55.43 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x12) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x14) | (x1 = x12) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.23/55.43 inference(transitivity,[status(thm)],[1854, 1852])).
% 55.23/55.43 tff(1856,plain,
% 55.23/55.43 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x1 = x12) | (x1 = x14) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.23/55.43 inference(quant_inst,[status(thm)],[])).
% 55.23/55.43 tff(1857,plain,
% 55.23/55.43 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x1 = x14) | (x1 = x12) | (~heap(sep(lseg(x1, x14), sep(lseg(x1, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.23/55.43 inference(modus_ponens,[status(thm)],[1856, 1855])).
% 55.23/55.43 tff(1858,plain,
% 55.23/55.43 ($false),
% 55.23/55.43 inference(unit_resolution,[status(thm)],[1857, 478, 1004, 1851, 1846])).
% 55.23/55.43 tff(1859,plain,((~(x11 = x3)) | (x13 = x12)), inference(lemma,lemma(discharge,[]))).
% 55.23/55.43 tff(1860,plain,
% 55.23/55.43 (~(x11 = x3)),
% 55.23/55.43 inference(unit_resolution,[status(thm)],[1859, 581])).
% 55.23/55.43 tff(1861,plain,
% 55.23/55.43 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[528])).
% 55.23/55.43 tff(1862,plain,
% 55.23/55.43 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1861])).
% 55.23/55.43 tff(1863,plain,
% 55.23/55.43 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.43 inference(symmetry,[status(thm)],[1862])).
% 55.23/55.43 tff(1864,plain,
% 55.23/55.43 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[537])).
% 55.23/55.43 tff(1865,plain,
% 55.23/55.43 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.43 inference(symmetry,[status(thm)],[1864])).
% 55.23/55.43 tff(1866,plain,
% 55.23/55.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.43 inference(quant_inst,[status(thm)],[])).
% 55.23/55.43 tff(1867,plain,
% 55.23/55.43 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.43 inference(unit_resolution,[status(thm)],[1866, 7])).
% 55.23/55.43 tff(1868,plain,
% 55.23/55.43 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.43 inference(symmetry,[status(thm)],[1867])).
% 55.23/55.43 tff(1869,plain,
% 55.23/55.43 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.43 inference(transitivity,[status(thm)],[1868, 1865])).
% 55.23/55.43 tff(1870,plain,
% 55.23/55.43 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1869])).
% 55.23/55.43 tff(1871,plain,
% 55.23/55.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.43 inference(quant_inst,[status(thm)],[])).
% 55.23/55.43 tff(1872,plain,
% 55.23/55.43 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.43 inference(unit_resolution,[status(thm)],[1871, 7])).
% 55.23/55.43 tff(1873,plain,
% 55.23/55.43 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.43 inference(symmetry,[status(thm)],[1872])).
% 55.23/55.43 tff(1874,plain,
% 55.23/55.43 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.43 inference(transitivity,[status(thm)],[1873, 1870, 1863])).
% 55.23/55.43 tff(1875,plain,
% 55.23/55.43 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.43 inference(monotonicity,[status(thm)],[1874])).
% 55.23/55.43 tff(1876,plain,
% 55.23/55.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.43 inference(quant_inst,[status(thm)],[])).
% 55.23/55.43 tff(1877,plain,
% 55.23/55.43 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.43 inference(unit_resolution,[status(thm)],[1876, 7])).
% 55.23/55.43 tff(1878,plain,
% 55.23/55.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.43 inference(quant_inst,[status(thm)],[])).
% 55.23/55.43 tff(1879,plain,
% 55.23/55.43 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(unit_resolution,[status(thm)],[1878, 7])).
% 55.23/55.44 tff(1880,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[512])).
% 55.23/55.44 tff(1881,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1880])).
% 55.23/55.44 tff(1882,plain,
% 55.23/55.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(quant_inst,[status(thm)],[])).
% 55.23/55.44 tff(1883,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.44 inference(unit_resolution,[status(thm)],[1882, 7])).
% 55.23/55.44 tff(1884,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1883])).
% 55.23/55.44 tff(1885,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.44 inference(transitivity,[status(thm)],[1884, 1881])).
% 55.23/55.44 tff(1886,plain,
% 55.23/55.44 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1885])).
% 55.23/55.44 tff(1887,plain,
% 55.23/55.44 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1886])).
% 55.23/55.44 tff(1888,plain,
% 55.23/55.44 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(transitivity,[status(thm)],[1887, 1879])).
% 55.23/55.44 tff(1889,plain,
% 55.23/55.44 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1888])).
% 55.23/55.44 tff(1890,plain,
% 55.23/55.44 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1886])).
% 55.23/55.44 tff(1891,plain,
% 55.23/55.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.44 inference(quant_inst,[status(thm)],[])).
% 55.23/55.44 tff(1892,plain,
% 55.23/55.44 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(unit_resolution,[status(thm)],[1891, 7])).
% 55.23/55.44 tff(1893,plain,
% 55.23/55.44 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1892])).
% 55.23/55.44 tff(1894,plain,
% 55.23/55.44 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(transitivity,[status(thm)],[1893, 1890, 1889, 1877, 1875])).
% 55.23/55.44 tff(1895,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1894])).
% 55.23/55.44 tff(1896,plain,
% 55.23/55.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.44 inference(quant_inst,[status(thm)],[])).
% 55.23/55.44 tff(1897,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.44 inference(unit_resolution,[status(thm)],[1896, 7])).
% 55.23/55.44 tff(1898,plain,
% 55.23/55.44 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1897])).
% 55.23/55.44 tff(1899,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.44 inference(transitivity,[status(thm)],[1864, 1867])).
% 55.23/55.44 tff(1900,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1899])).
% 55.23/55.44 tff(1901,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1900])).
% 55.23/55.44 tff(1902,plain,
% 55.23/55.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(quant_inst,[status(thm)],[])).
% 55.23/55.44 tff(1903,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(unit_resolution,[status(thm)],[1902, 7])).
% 55.23/55.44 tff(1904,plain,
% 55.23/55.44 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1903])).
% 55.23/55.44 tff(1905,plain,
% 55.23/55.44 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(transitivity,[status(thm)],[1904, 1901])).
% 55.23/55.44 tff(1906,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1905])).
% 55.23/55.44 tff(1907,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1906])).
% 55.23/55.44 tff(1908,plain,
% 55.23/55.44 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1907])).
% 55.23/55.44 tff(1909,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1861])).
% 55.23/55.44 tff(1910,plain,
% 55.23/55.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(quant_inst,[status(thm)],[])).
% 55.23/55.44 tff(1911,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(unit_resolution,[status(thm)],[1910, 7])).
% 55.23/55.44 tff(1912,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1911])).
% 55.23/55.44 tff(1913,plain,
% 55.23/55.44 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[529])).
% 55.23/55.44 tff(1914,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1913])).
% 55.23/55.44 tff(1915,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(transitivity,[status(thm)],[1914, 1912, 1909])).
% 55.23/55.44 tff(1916,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1915])).
% 55.23/55.44 tff(1917,plain,
% 55.23/55.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.44 inference(quant_inst,[status(thm)],[])).
% 55.23/55.44 tff(1918,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(unit_resolution,[status(thm)],[1917, 7])).
% 55.23/55.44 tff(1919,plain,
% 55.23/55.44 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.44 inference(symmetry,[status(thm)],[1918])).
% 55.23/55.44 tff(1920,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.44 inference(monotonicity,[status(thm)],[1913])).
% 55.23/55.44 tff(1921,plain,
% 55.23/55.44 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1920])).
% 55.23/55.45 tff(1922,plain,
% 55.23/55.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.45 inference(quant_inst,[status(thm)],[])).
% 55.23/55.45 tff(1923,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.45 inference(unit_resolution,[status(thm)],[1922, 7])).
% 55.23/55.45 tff(1924,plain,
% 55.23/55.45 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1923])).
% 55.23/55.45 tff(1925,plain,
% 55.23/55.45 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.45 inference(transitivity,[status(thm)],[1924, 1921])).
% 55.23/55.45 tff(1926,plain,
% 55.23/55.45 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1925])).
% 55.23/55.45 tff(1927,plain,
% 55.23/55.45 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.45 inference(transitivity,[status(thm)],[1926, 1919, 1916])).
% 55.23/55.45 tff(1928,plain,
% 55.23/55.45 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1927])).
% 55.23/55.45 tff(1929,plain,
% 55.23/55.45 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(transitivity,[status(thm)],[1928, 1908, 1898, 1895])).
% 55.23/55.45 tff(1930,plain,
% 55.23/55.45 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1929])).
% 55.23/55.45 tff(1931,plain,
% 55.23/55.45 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1930])).
% 55.23/55.45 tff(1932,plain,
% 55.23/55.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(quant_inst,[status(thm)],[])).
% 55.23/55.45 tff(1933,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(unit_resolution,[status(thm)],[1932, 7])).
% 55.23/55.45 tff(1934,plain,
% 55.23/55.45 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.45 inference(transitivity,[status(thm)],[1889, 1877, 1875])).
% 55.23/55.45 tff(1935,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1934])).
% 55.23/55.45 tff(1936,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1935])).
% 55.23/55.45 tff(1937,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(transitivity,[status(thm)],[1936, 1933])).
% 55.23/55.45 tff(1938,plain,
% 55.23/55.45 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1937])).
% 55.23/55.45 tff(1939,plain,
% 55.23/55.45 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1938])).
% 55.23/55.45 tff(1940,plain,
% 55.23/55.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.45 inference(quant_inst,[status(thm)],[])).
% 55.23/55.45 tff(1941,plain,
% 55.23/55.45 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(unit_resolution,[status(thm)],[1940, 7])).
% 55.23/55.45 tff(1942,plain,
% 55.23/55.45 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[228])).
% 55.23/55.45 tff(1943,plain,
% 55.23/55.45 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1942])).
% 55.23/55.45 tff(1944,plain,
% 55.23/55.45 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1943])).
% 55.23/55.45 tff(1945,plain,
% 55.23/55.45 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1944])).
% 55.23/55.45 tff(1946,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1945])).
% 55.23/55.45 tff(1947,plain,
% 55.23/55.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(quant_inst,[status(thm)],[])).
% 55.23/55.45 tff(1948,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(unit_resolution,[status(thm)],[1947, 7])).
% 55.23/55.45 tff(1949,plain,
% 55.23/55.45 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1948])).
% 55.23/55.45 tff(1950,plain,
% 55.23/55.45 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.45 inference(transitivity,[status(thm)],[1949, 1946])).
% 55.23/55.45 tff(1951,plain,
% 55.23/55.45 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[1950])).
% 55.23/55.45 tff(1952,plain,
% 55.23/55.45 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1951])).
% 55.23/55.45 tff(1953,plain,
% 55.23/55.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.23/55.45 inference(quant_inst,[status(thm)],[])).
% 55.23/55.45 tff(1954,plain,
% 55.23/55.45 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(unit_resolution,[status(thm)],[1953, 7])).
% 55.23/55.45 tff(1955,plain,
% 55.23/55.45 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1954])).
% 55.23/55.45 tff(1956,plain,
% 55.23/55.45 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.45 inference(monotonicity,[status(thm)],[512])).
% 55.23/55.45 tff(1957,plain,
% 55.23/55.45 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.45 inference(symmetry,[status(thm)],[1956])).
% 55.23/55.45 tff(1958,plain,
% 55.23/55.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.45 inference(quant_inst,[status(thm)],[])).
% 55.23/55.45 tff(1959,plain,
% 55.23/55.46 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.46 inference(unit_resolution,[status(thm)],[1958, 7])).
% 55.23/55.46 tff(1960,plain,
% 55.23/55.46 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.23/55.46 inference(symmetry,[status(thm)],[1959])).
% 55.23/55.46 tff(1961,plain,
% 55.23/55.46 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.23/55.46 inference(transitivity,[status(thm)],[1960, 1957])).
% 55.23/55.46 tff(1962,plain,
% 55.23/55.46 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.46 inference(monotonicity,[status(thm)],[1961])).
% 55.23/55.46 tff(1963,plain,
% 55.23/55.46 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.46 inference(monotonicity,[status(thm)],[1962])).
% 55.23/55.46 tff(1964,plain,
% 55.23/55.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.23/55.46 inference(quant_inst,[status(thm)],[])).
% 55.23/55.46 tff(1965,plain,
% 55.23/55.46 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.46 inference(unit_resolution,[status(thm)],[1964, 7])).
% 55.23/55.46 tff(1966,plain,
% 55.23/55.46 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.46 inference(monotonicity,[status(thm)],[1961])).
% 55.23/55.46 tff(1967,plain,
% 55.23/55.46 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.23/55.46 inference(symmetry,[status(thm)],[1966])).
% 55.23/55.46 tff(1968,plain,
% 55.23/55.46 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.23/55.46 inference(monotonicity,[status(thm)],[1967])).
% 55.23/55.46 tff(1969,plain,
% 55.23/55.46 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.46 inference(transitivity,[status(thm)],[1968, 1965, 1963])).
% 55.30/55.46 tff(1970,plain,
% 55.30/55.46 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.30/55.46 inference(monotonicity,[status(thm)],[1969])).
% 55.30/55.46 tff(1971,plain,
% 55.30/55.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.30/55.46 inference(quant_inst,[status(thm)],[])).
% 55.30/55.46 tff(1972,plain,
% 55.30/55.46 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.30/55.46 inference(unit_resolution,[status(thm)],[1971, 7])).
% 55.30/55.46 tff(1973,plain,
% 55.30/55.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.46 inference(quant_inst,[status(thm)],[])).
% 55.30/55.46 tff(1974,plain,
% 55.30/55.46 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(unit_resolution,[status(thm)],[1973, 7])).
% 55.30/55.46 tff(1975,plain,
% 55.30/55.46 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(monotonicity,[status(thm)],[229])).
% 55.30/55.46 tff(1976,plain,
% 55.30/55.46 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(symmetry,[status(thm)],[1975])).
% 55.30/55.46 tff(1977,plain,
% 55.30/55.46 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(transitivity,[status(thm)],[1976, 1974])).
% 55.30/55.46 tff(1978,plain,
% 55.30/55.46 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.46 inference(monotonicity,[status(thm)],[1977])).
% 55.30/55.46 tff(1979,plain,
% 55.30/55.46 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.46 inference(symmetry,[status(thm)],[1978])).
% 55.30/55.46 tff(1980,plain,
% 55.30/55.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.30/55.46 inference(quant_inst,[status(thm)],[])).
% 55.30/55.46 tff(1981,plain,
% 55.30/55.46 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.46 inference(unit_resolution,[status(thm)],[1980, 7])).
% 55.30/55.46 tff(1982,plain,
% 55.30/55.46 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.30/55.46 inference(symmetry,[status(thm)],[1942])).
% 55.30/55.46 tff(1983,plain,
% 55.30/55.46 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(monotonicity,[status(thm)],[1982])).
% 55.30/55.46 tff(1984,plain,
% 55.30/55.46 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(symmetry,[status(thm)],[1983])).
% 55.30/55.46 tff(1985,plain,
% 55.30/55.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.46 inference(quant_inst,[status(thm)],[])).
% 55.30/55.46 tff(1986,plain,
% 55.30/55.46 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(unit_resolution,[status(thm)],[1985, 7])).
% 55.30/55.46 tff(1987,plain,
% 55.30/55.46 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(symmetry,[status(thm)],[1986])).
% 55.30/55.46 tff(1988,plain,
% 55.30/55.46 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.46 inference(transitivity,[status(thm)],[1987, 1984])).
% 55.30/55.46 tff(1989,plain,
% 55.30/55.46 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.46 inference(monotonicity,[status(thm)],[1988])).
% 55.30/55.46 tff(1990,plain,
% 55.30/55.46 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[1989])).
% 55.30/55.47 tff(1991,plain,
% 55.30/55.47 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[1885])).
% 55.30/55.47 tff(1992,plain,
% 55.30/55.47 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[1991])).
% 55.30/55.47 tff(1993,plain,
% 55.30/55.47 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[1992])).
% 55.30/55.47 tff(1994,plain,
% 55.30/55.47 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[1993])).
% 55.30/55.47 tff(1995,plain,
% 55.30/55.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.30/55.47 inference(quant_inst,[status(thm)],[])).
% 55.30/55.47 tff(1996,plain,
% 55.30/55.47 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(unit_resolution,[status(thm)],[1995, 7])).
% 55.30/55.47 tff(1997,plain,
% 55.30/55.47 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[1996])).
% 55.30/55.47 tff(1998,plain,
% 55.30/55.47 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(transitivity,[status(thm)],[1886, 1944])).
% 55.30/55.47 tff(1999,plain,
% 55.30/55.47 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[1998])).
% 55.30/55.47 tff(2000,plain,
% 55.30/55.47 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[1999])).
% 55.30/55.47 tff(2001,plain,
% 55.30/55.47 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(transitivity,[status(thm)],[2000, 1997, 1994, 1990, 1981, 1979])).
% 55.30/55.47 tff(2002,plain,
% 55.30/55.47 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[2001])).
% 55.30/55.47 tff(2003,plain,
% 55.30/55.47 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.30/55.47 inference(transitivity,[status(thm)],[2002, 1972, 1970])).
% 55.30/55.47 tff(2004,plain,
% 55.30/55.47 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[2003])).
% 55.30/55.47 tff(2005,plain,
% 55.30/55.47 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[2004])).
% 55.30/55.47 tff(2006,plain,
% 55.30/55.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.30/55.47 inference(quant_inst,[status(thm)],[])).
% 55.30/55.47 tff(2007,plain,
% 55.30/55.47 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.30/55.47 inference(unit_resolution,[status(thm)],[2006, 7])).
% 55.30/55.47 tff(2008,plain,
% 55.30/55.47 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[2007])).
% 55.30/55.47 tff(2009,plain,
% 55.30/55.47 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.30/55.47 inference(transitivity,[status(thm)],[2008, 511])).
% 55.30/55.47 tff(2010,plain,
% 55.30/55.47 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[2009])).
% 55.30/55.47 tff(2011,plain,
% 55.30/55.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(quant_inst,[status(thm)],[])).
% 55.30/55.47 tff(2012,plain,
% 55.30/55.47 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.30/55.47 inference(unit_resolution,[status(thm)],[2011, 7])).
% 55.30/55.47 tff(2013,plain,
% 55.30/55.47 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[2012])).
% 55.30/55.47 tff(2014,plain,
% 55.30/55.47 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.30/55.47 inference(transitivity,[status(thm)],[2013, 2010])).
% 55.30/55.47 tff(2015,plain,
% 55.30/55.47 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[2014])).
% 55.30/55.47 tff(2016,plain,
% 55.30/55.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(quant_inst,[status(thm)],[])).
% 55.30/55.47 tff(2017,plain,
% 55.30/55.47 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(unit_resolution,[status(thm)],[2016, 7])).
% 55.30/55.47 tff(2018,plain,
% 55.30/55.47 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(symmetry,[status(thm)],[2017])).
% 55.30/55.47 tff(2019,plain,
% 55.30/55.47 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.30/55.47 inference(transitivity,[status(thm)],[2018, 2015])).
% 55.30/55.47 tff(2020,plain,
% 55.30/55.47 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.30/55.47 inference(monotonicity,[status(thm)],[2019])).
% 55.30/55.47 tff(2021,plain,
% 55.30/55.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.47 inference(quant_inst,[status(thm)],[])).
% 55.31/55.47 tff(2022,plain,
% 55.31/55.47 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.47 inference(unit_resolution,[status(thm)],[2021, 7])).
% 55.31/55.47 tff(2023,plain,
% 55.31/55.47 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.47 inference(symmetry,[status(thm)],[2022])).
% 55.31/55.47 tff(2024,plain,
% 55.31/55.47 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.47 inference(transitivity,[status(thm)],[2023, 2020])).
% 55.31/55.47 tff(2025,plain,
% 55.31/55.47 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.47 inference(monotonicity,[status(thm)],[2024])).
% 55.31/55.47 tff(2026,plain,
% 55.31/55.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.47 inference(quant_inst,[status(thm)],[])).
% 55.31/55.47 tff(2027,plain,
% 55.31/55.47 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.47 inference(unit_resolution,[status(thm)],[2026, 7])).
% 55.31/55.47 tff(2028,plain,
% 55.31/55.47 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.47 inference(symmetry,[status(thm)],[2027])).
% 55.31/55.47 tff(2029,plain,
% 55.31/55.47 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.47 inference(transitivity,[status(thm)],[2028, 2025])).
% 55.31/55.47 tff(2030,plain,
% 55.31/55.47 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.47 inference(monotonicity,[status(thm)],[2029])).
% 55.31/55.48 tff(2031,plain,
% 55.31/55.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.31/55.48 inference(quant_inst,[status(thm)],[])).
% 55.31/55.48 tff(2032,plain,
% 55.31/55.48 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.48 inference(unit_resolution,[status(thm)],[2031, 7])).
% 55.31/55.48 tff(2033,plain,
% 55.31/55.48 (sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2032])).
% 55.31/55.48 tff(2034,plain,
% 55.31/55.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))),
% 55.31/55.48 inference(quant_inst,[status(thm)],[])).
% 55.31/55.48 tff(2035,plain,
% 55.31/55.48 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))),
% 55.31/55.48 inference(unit_resolution,[status(thm)],[2034, 7])).
% 55.31/55.48 tff(2036,plain,
% 55.31/55.48 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2035])).
% 55.31/55.48 tff(2037,plain,
% 55.31/55.48 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2036])).
% 55.31/55.48 tff(2038,plain,
% 55.31/55.48 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2037])).
% 55.31/55.48 tff(2039,plain,
% 55.31/55.48 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2038])).
% 55.31/55.48 tff(2040,plain,
% 55.31/55.48 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2039])).
% 55.31/55.48 tff(2041,plain,
% 55.31/55.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.31/55.48 inference(quant_inst,[status(thm)],[])).
% 55.31/55.48 tff(2042,plain,
% 55.31/55.48 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.31/55.48 inference(unit_resolution,[status(thm)],[2041, 7])).
% 55.31/55.48 tff(2043,plain,
% 55.31/55.48 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2042])).
% 55.31/55.48 tff(2044,plain,
% 55.31/55.48 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.48 inference(transitivity,[status(thm)],[2043, 2040])).
% 55.31/55.48 tff(2045,plain,
% 55.31/55.48 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2044])).
% 55.31/55.48 tff(2046,plain,
% 55.31/55.48 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2045])).
% 55.31/55.48 tff(2047,plain,
% 55.31/55.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.48 inference(quant_inst,[status(thm)],[])).
% 55.31/55.48 tff(2048,plain,
% 55.31/55.48 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.48 inference(unit_resolution,[status(thm)],[2047, 7])).
% 55.31/55.48 tff(2049,plain,
% 55.31/55.48 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2044])).
% 55.31/55.48 tff(2050,plain,
% 55.31/55.48 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2049])).
% 55.31/55.48 tff(2051,plain,
% 55.31/55.48 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2050])).
% 55.31/55.48 tff(2052,plain,
% 55.31/55.48 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.48 inference(transitivity,[status(thm)],[2051, 2048, 2046])).
% 55.31/55.48 tff(2053,plain,
% 55.31/55.48 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2052])).
% 55.31/55.48 tff(2054,plain,
% 55.31/55.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.48 inference(quant_inst,[status(thm)],[])).
% 55.31/55.48 tff(2055,plain,
% 55.31/55.48 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.48 inference(unit_resolution,[status(thm)],[2054, 7])).
% 55.31/55.48 tff(2056,plain,
% 55.31/55.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.48 inference(quant_inst,[status(thm)],[])).
% 55.31/55.48 tff(2057,plain,
% 55.31/55.48 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.48 inference(unit_resolution,[status(thm)],[2056, 7])).
% 55.31/55.48 tff(2058,plain,
% 55.31/55.48 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[1571])).
% 55.31/55.48 tff(2059,plain,
% 55.31/55.48 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2058])).
% 55.31/55.48 tff(2060,plain,
% 55.31/55.48 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2059])).
% 55.31/55.48 tff(2061,plain,
% 55.31/55.48 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2060])).
% 55.31/55.48 tff(2062,plain,
% 55.31/55.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.31/55.48 inference(quant_inst,[status(thm)],[])).
% 55.31/55.48 tff(2063,plain,
% 55.31/55.48 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.31/55.48 inference(unit_resolution,[status(thm)],[2062, 7])).
% 55.31/55.48 tff(2064,plain,
% 55.31/55.48 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2063])).
% 55.31/55.48 tff(2065,plain,
% 55.31/55.48 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.31/55.48 inference(transitivity,[status(thm)],[2064, 2061])).
% 55.31/55.48 tff(2066,plain,
% 55.31/55.48 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2065])).
% 55.31/55.48 tff(2067,plain,
% 55.31/55.48 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.48 inference(monotonicity,[status(thm)],[2066])).
% 55.31/55.48 tff(2068,plain,
% 55.31/55.48 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.48 inference(symmetry,[status(thm)],[2067])).
% 55.31/55.48 tff(2069,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2068, 2057])).
% 55.31/55.49 tff(2070,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2069])).
% 55.31/55.49 tff(2071,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2070])).
% 55.31/55.49 tff(2072,plain,
% 55.31/55.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.31/55.49 inference(quant_inst,[status(thm)],[])).
% 55.31/55.49 tff(2073,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.49 inference(unit_resolution,[status(thm)],[2072, 7])).
% 55.31/55.49 tff(2074,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2065])).
% 55.31/55.49 tff(2075,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2074])).
% 55.31/55.49 tff(2076,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2075])).
% 55.31/55.49 tff(2077,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2076])).
% 55.31/55.49 tff(2078,plain,
% 55.31/55.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.49 inference(quant_inst,[status(thm)],[])).
% 55.31/55.49 tff(2079,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.49 inference(unit_resolution,[status(thm)],[2078, 7])).
% 55.31/55.49 tff(2080,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2079])).
% 55.31/55.49 tff(2081,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2080, 2077])).
% 55.31/55.49 tff(2082,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2081])).
% 55.31/55.49 tff(2083,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2082])).
% 55.31/55.49 tff(2084,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2038])).
% 55.31/55.49 tff(2085,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2084])).
% 55.31/55.49 tff(2086,plain,
% 55.31/55.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.31/55.49 inference(quant_inst,[status(thm)],[])).
% 55.31/55.49 tff(2087,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.31/55.49 inference(unit_resolution,[status(thm)],[2086, 7])).
% 55.31/55.49 tff(2088,plain,
% 55.31/55.49 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2087])).
% 55.31/55.49 tff(2089,plain,
% 55.31/55.49 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2088, 2085])).
% 55.31/55.49 tff(2090,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2089])).
% 55.31/55.49 tff(2091,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2090])).
% 55.31/55.49 tff(2092,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2091])).
% 55.31/55.49 tff(2093,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2092])).
% 55.31/55.49 tff(2094,plain,
% 55.31/55.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.49 inference(quant_inst,[status(thm)],[])).
% 55.31/55.49 tff(2095,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(unit_resolution,[status(thm)],[2094, 7])).
% 55.31/55.49 tff(2096,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2095])).
% 55.31/55.49 tff(2097,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2074])).
% 55.31/55.49 tff(2098,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2097])).
% 55.31/55.49 tff(2099,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2089])).
% 55.31/55.49 tff(2100,plain,
% 55.31/55.49 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2099, 2098])).
% 55.31/55.49 tff(2101,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2100])).
% 55.31/55.49 tff(2102,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2101])).
% 55.31/55.49 tff(2103,plain,
% 55.31/55.49 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2102, 2096, 2093, 2083, 2073, 2071])).
% 55.31/55.49 tff(2104,plain,
% 55.31/55.49 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2103])).
% 55.31/55.49 tff(2105,plain,
% 55.31/55.49 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2104, 2055, 2053])).
% 55.31/55.49 tff(2106,plain,
% 55.31/55.49 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2105])).
% 55.31/55.49 tff(2107,plain,
% 55.31/55.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.31/55.49 inference(quant_inst,[status(thm)],[])).
% 55.31/55.49 tff(2108,plain,
% 55.31/55.49 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.31/55.49 inference(unit_resolution,[status(thm)],[2107, 7])).
% 55.31/55.49 tff(2109,plain,
% 55.31/55.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))),
% 55.31/55.49 inference(quant_inst,[status(thm)],[])).
% 55.31/55.49 tff(2110,plain,
% 55.31/55.49 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))),
% 55.31/55.49 inference(unit_resolution,[status(thm)],[2109, 7])).
% 55.31/55.49 tff(2111,plain,
% 55.31/55.49 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2110])).
% 55.31/55.49 tff(2112,plain,
% 55.31/55.49 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2111, 2058])).
% 55.31/55.49 tff(2113,plain,
% 55.31/55.49 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.31/55.49 inference(monotonicity,[status(thm)],[2112])).
% 55.31/55.49 tff(2114,plain,
% 55.31/55.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))),
% 55.31/55.49 inference(quant_inst,[status(thm)],[])).
% 55.31/55.49 tff(2115,plain,
% 55.31/55.49 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))),
% 55.31/55.49 inference(unit_resolution,[status(thm)],[2114, 7])).
% 55.31/55.49 tff(2116,plain,
% 55.31/55.49 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))),
% 55.31/55.49 inference(symmetry,[status(thm)],[2115])).
% 55.31/55.49 tff(2117,plain,
% 55.31/55.49 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.31/55.49 inference(transitivity,[status(thm)],[2116, 2113])).
% 55.31/55.49 tff(2118,plain,
% 55.31/55.49 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2117])).
% 55.31/55.50 tff(2119,plain,
% 55.31/55.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))),
% 55.31/55.50 inference(quant_inst,[status(thm)],[])).
% 55.31/55.50 tff(2120,plain,
% 55.31/55.50 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))),
% 55.31/55.50 inference(unit_resolution,[status(thm)],[2119, 7])).
% 55.31/55.50 tff(2121,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2120])).
% 55.31/55.50 tff(2122,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.31/55.50 inference(transitivity,[status(thm)],[2121, 2118])).
% 55.31/55.50 tff(2123,plain,
% 55.31/55.50 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2122])).
% 55.31/55.50 tff(2124,plain,
% 55.31/55.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.50 inference(quant_inst,[status(thm)],[])).
% 55.31/55.50 tff(2125,plain,
% 55.31/55.50 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))),
% 55.31/55.50 inference(unit_resolution,[status(thm)],[2124, 7])).
% 55.31/55.50 tff(2126,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2125])).
% 55.31/55.50 tff(2127,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.31/55.50 inference(transitivity,[status(thm)],[2126, 2123, 2098])).
% 55.31/55.50 tff(2128,plain,
% 55.31/55.50 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2127])).
% 55.31/55.50 tff(2129,plain,
% 55.31/55.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))),
% 55.31/55.50 inference(quant_inst,[status(thm)],[])).
% 55.31/55.50 tff(2130,plain,
% 55.31/55.50 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.50 inference(unit_resolution,[status(thm)],[2129, 7])).
% 55.31/55.50 tff(2131,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2130])).
% 55.31/55.50 tff(2132,plain,
% 55.31/55.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))),
% 55.31/55.50 inference(quant_inst,[status(thm)],[])).
% 55.31/55.50 tff(2133,plain,
% 55.31/55.50 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))),
% 55.31/55.50 inference(unit_resolution,[status(thm)],[2132, 7])).
% 55.31/55.50 tff(2134,plain,
% 55.31/55.50 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2133])).
% 55.31/55.50 tff(2135,plain,
% 55.31/55.50 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2134])).
% 55.31/55.50 tff(2136,plain,
% 55.31/55.50 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2135])).
% 55.31/55.50 tff(2137,plain,
% 55.31/55.50 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2136])).
% 55.31/55.50 tff(2138,plain,
% 55.31/55.50 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2137])).
% 55.31/55.50 tff(2139,plain,
% 55.31/55.50 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2138])).
% 55.31/55.50 tff(2140,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2139])).
% 55.31/55.50 tff(2141,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.31/55.50 inference(transitivity,[status(thm)],[2140, 2131, 2128])).
% 55.31/55.50 tff(2142,plain,
% 55.31/55.50 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2141])).
% 55.31/55.50 tff(2143,plain,
% 55.31/55.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))),
% 55.31/55.50 inference(quant_inst,[status(thm)],[])).
% 55.31/55.50 tff(2144,plain,
% 55.31/55.50 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))),
% 55.31/55.50 inference(unit_resolution,[status(thm)],[2143, 7])).
% 55.31/55.50 tff(2145,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2144])).
% 55.31/55.50 tff(2146,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.31/55.50 inference(transitivity,[status(thm)],[2145, 2142])).
% 55.31/55.50 tff(2147,plain,
% 55.31/55.50 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2146])).
% 55.31/55.50 tff(2148,plain,
% 55.31/55.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))))),
% 55.31/55.50 inference(quant_inst,[status(thm)],[])).
% 55.31/55.50 tff(2149,plain,
% 55.31/55.50 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))),
% 55.31/55.50 inference(unit_resolution,[status(thm)],[2148, 7])).
% 55.31/55.50 tff(2150,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2149])).
% 55.31/55.50 tff(2151,plain,
% 55.31/55.50 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.50 inference(transitivity,[status(thm)],[2150, 2147, 2108, 2106])).
% 55.31/55.50 tff(2152,plain,
% 55.31/55.50 (sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2151])).
% 55.31/55.50 tff(2153,plain,
% 55.31/55.50 (sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.50 inference(transitivity,[status(thm)],[2152, 2033, 2030, 2005, 1955, 1952, 1941, 1939, 1931])).
% 55.31/55.50 tff(2154,plain,
% 55.31/55.50 (heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[2153])).
% 55.31/55.50 tff(2155,plain,
% 55.31/55.50 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) <=> heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2154])).
% 55.31/55.50 tff(2156,plain,
% 55.31/55.50 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.50 inference(monotonicity,[status(thm)],[955])).
% 55.31/55.50 tff(2157,plain,
% 55.31/55.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.50 inference(quant_inst,[status(thm)],[])).
% 55.31/55.50 tff(2158,plain,
% 55.31/55.50 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.50 inference(unit_resolution,[status(thm)],[2157, 7])).
% 55.31/55.50 tff(2159,plain,
% 55.31/55.50 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.50 inference(symmetry,[status(thm)],[2158])).
% 55.31/55.50 tff(2160,plain,
% 55.31/55.50 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.31/55.50 inference(transitivity,[status(thm)],[2159, 2156])).
% 55.31/55.50 tff(2161,plain,
% 55.31/55.50 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.51 inference(monotonicity,[status(thm)],[2160])).
% 55.31/55.51 tff(2162,plain,
% 55.31/55.51 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.51 inference(transitivity,[status(thm)],[2161, 962, 959])).
% 55.31/55.51 tff(2163,plain,
% 55.31/55.51 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.31/55.51 inference(monotonicity,[status(thm)],[2162])).
% 55.31/55.51 tff(2164,plain,
% 55.31/55.51 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.31/55.51 inference(symmetry,[status(thm)],[2163])).
% 55.31/55.51 tff(2165,plain,
% 55.31/55.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.31/55.51 inference(quant_inst,[status(thm)],[])).
% 55.31/55.51 tff(2166,plain,
% 55.31/55.51 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.31/55.51 inference(unit_resolution,[status(thm)],[2165, 7])).
% 55.31/55.51 tff(2167,plain,
% 55.31/55.51 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.31/55.51 inference(monotonicity,[status(thm)],[936])).
% 55.31/55.51 tff(2168,plain,
% 55.31/55.51 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.31/55.51 inference(monotonicity,[status(thm)],[2167])).
% 55.31/55.51 tff(2169,plain,
% 55.31/55.51 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.51 inference(symmetry,[status(thm)],[2168])).
% 55.35/55.51 tff(2170,plain,
% 55.35/55.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.51 inference(quant_inst,[status(thm)],[])).
% 55.35/55.51 tff(2171,plain,
% 55.35/55.51 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.51 inference(unit_resolution,[status(thm)],[2170, 7])).
% 55.35/55.51 tff(2172,plain,
% 55.35/55.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.51 inference(quant_inst,[status(thm)],[])).
% 55.35/55.51 tff(2173,plain,
% 55.35/55.51 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.51 inference(unit_resolution,[status(thm)],[2172, 7])).
% 55.35/55.51 tff(2174,plain,
% 55.35/55.51 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.35/55.51 inference(transitivity,[status(thm)],[168, 184, 187, 205, 208])).
% 55.35/55.51 tff(2175,plain,
% 55.35/55.51 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.51 inference(monotonicity,[status(thm)],[2174])).
% 55.35/55.51 tff(2176,plain,
% 55.35/55.51 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.51 inference(monotonicity,[status(thm)],[182])).
% 55.35/55.51 tff(2177,plain,
% 55.35/55.51 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.51 inference(transitivity,[status(thm)],[2176, 2175, 2173])).
% 55.35/55.51 tff(2178,plain,
% 55.35/55.51 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.51 inference(monotonicity,[status(thm)],[2177])).
% 55.35/55.51 tff(2179,plain,
% 55.35/55.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.51 inference(quant_inst,[status(thm)],[])).
% 55.35/55.51 tff(2180,plain,
% 55.35/55.51 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.51 inference(unit_resolution,[status(thm)],[2179, 7])).
% 55.35/55.51 tff(2181,plain,
% 55.35/55.51 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.51 inference(monotonicity,[status(thm)],[182])).
% 55.35/55.51 tff(2182,plain,
% 55.35/55.51 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.51 inference(symmetry,[status(thm)],[2181])).
% 55.35/55.51 tff(2183,plain,
% 55.35/55.51 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.51 inference(monotonicity,[status(thm)],[2182])).
% 55.35/55.51 tff(2184,plain,
% 55.35/55.51 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.51 inference(transitivity,[status(thm)],[2183, 2180, 2178, 2171])).
% 55.35/55.51 tff(2185,plain,
% 55.35/55.51 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.51 inference(monotonicity,[status(thm)],[2184])).
% 55.35/55.51 tff(2186,plain,
% 55.35/55.52 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2185])).
% 55.35/55.52 tff(2187,plain,
% 55.35/55.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.35/55.52 inference(quant_inst,[status(thm)],[])).
% 55.35/55.52 tff(2188,plain,
% 55.35/55.52 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(unit_resolution,[status(thm)],[2187, 7])).
% 55.35/55.52 tff(2189,plain,
% 55.35/55.52 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2188])).
% 55.35/55.52 tff(2190,plain,
% 55.35/55.52 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(monotonicity,[status(thm)],[488])).
% 55.35/55.52 tff(2191,plain,
% 55.35/55.52 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(quant_inst,[status(thm)],[])).
% 55.35/55.52 tff(2192,plain,
% 55.35/55.52 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(unit_resolution,[status(thm)],[2191, 500])).
% 55.35/55.52 tff(2193,plain,
% 55.35/55.52 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2192])).
% 55.35/55.52 tff(2194,plain,
% 55.35/55.52 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[1941])).
% 55.35/55.52 tff(2195,plain,
% 55.35/55.52 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(transitivity,[status(thm)],[1930, 1938, 2194, 1951, 1954, 2004, 2193, 2190, 2189, 2186, 2169, 2166, 2164])).
% 55.35/55.52 tff(2196,plain,
% 55.35/55.52 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.35/55.52 inference(monotonicity,[status(thm)],[2195])).
% 55.35/55.52 tff(2197,plain,
% 55.35/55.52 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2196])).
% 55.35/55.52 tff(2198,plain,
% 55.35/55.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(quant_inst,[status(thm)],[])).
% 55.35/55.52 tff(2199,plain,
% 55.35/55.52 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.52 inference(unit_resolution,[status(thm)],[2198, 7])).
% 55.35/55.52 tff(2200,plain,
% 55.35/55.52 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2199])).
% 55.35/55.52 tff(2201,plain,
% 55.35/55.52 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.52 inference(transitivity,[status(thm)],[2200, 2181, 935])).
% 55.35/55.52 tff(2202,plain,
% 55.35/55.52 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(monotonicity,[status(thm)],[2201])).
% 55.35/55.52 tff(2203,plain,
% 55.35/55.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(quant_inst,[status(thm)],[])).
% 55.35/55.52 tff(2204,plain,
% 55.35/55.52 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(unit_resolution,[status(thm)],[2203, 7])).
% 55.35/55.52 tff(2205,plain,
% 55.35/55.52 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2204])).
% 55.35/55.52 tff(2206,plain,
% 55.35/55.52 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(transitivity,[status(thm)],[2205, 2202])).
% 55.35/55.52 tff(2207,plain,
% 55.35/55.52 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(monotonicity,[status(thm)],[2206])).
% 55.35/55.52 tff(2208,plain,
% 55.35/55.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.35/55.52 inference(quant_inst,[status(thm)],[])).
% 55.35/55.52 tff(2209,plain,
% 55.35/55.52 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(unit_resolution,[status(thm)],[2208, 7])).
% 55.35/55.52 tff(2210,plain,
% 55.35/55.52 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2209])).
% 55.35/55.52 tff(2211,plain,
% 55.35/55.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.52 inference(quant_inst,[status(thm)],[])).
% 55.35/55.52 tff(2212,plain,
% 55.35/55.52 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.35/55.52 inference(unit_resolution,[status(thm)],[2211, 7])).
% 55.35/55.52 tff(2213,plain,
% 55.35/55.52 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2212])).
% 55.35/55.52 tff(2214,plain,
% 55.35/55.52 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.35/55.52 inference(transitivity,[status(thm)],[2213, 91])).
% 55.35/55.52 tff(2215,plain,
% 55.35/55.52 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.52 inference(monotonicity,[status(thm)],[2214])).
% 55.35/55.52 tff(2216,plain,
% 55.35/55.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.52 inference(quant_inst,[status(thm)],[])).
% 55.35/55.52 tff(2217,plain,
% 55.35/55.52 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.52 inference(unit_resolution,[status(thm)],[2216, 7])).
% 55.35/55.52 tff(2218,plain,
% 55.35/55.52 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.52 inference(symmetry,[status(thm)],[2217])).
% 55.35/55.53 tff(2219,plain,
% 55.35/55.53 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.35/55.53 inference(transitivity,[status(thm)],[2218, 2215])).
% 55.35/55.53 tff(2220,plain,
% 55.35/55.53 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.53 inference(monotonicity,[status(thm)],[2219])).
% 55.35/55.53 tff(2221,plain,
% 55.35/55.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(quant_inst,[status(thm)],[])).
% 55.35/55.53 tff(2222,plain,
% 55.35/55.53 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.53 inference(unit_resolution,[status(thm)],[2221, 7])).
% 55.35/55.53 tff(2223,plain,
% 55.35/55.53 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.53 inference(symmetry,[status(thm)],[2222])).
% 55.35/55.53 tff(2224,plain,
% 55.35/55.53 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.35/55.53 inference(transitivity,[status(thm)],[2223, 2220])).
% 55.35/55.53 tff(2225,plain,
% 55.35/55.53 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(monotonicity,[status(thm)],[2224])).
% 55.35/55.53 tff(2226,plain,
% 55.35/55.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.35/55.53 inference(quant_inst,[status(thm)],[])).
% 55.35/55.53 tff(2227,plain,
% 55.35/55.53 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(unit_resolution,[status(thm)],[2226, 7])).
% 55.35/55.53 tff(2228,plain,
% 55.35/55.53 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(symmetry,[status(thm)],[2227])).
% 55.35/55.53 tff(2229,plain,
% 55.35/55.53 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(transitivity,[status(thm)],[2228, 2225, 2210, 2207])).
% 55.35/55.53 tff(2230,plain,
% 55.35/55.53 (lseg(x9, x1) = lseg(x1, x7)),
% 55.35/55.53 inference(symmetry,[status(thm)],[1013])).
% 55.35/55.53 tff(2231,plain,
% 55.35/55.53 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.35/55.53 inference(monotonicity,[status(thm)],[2230, 2229])).
% 55.35/55.53 tff(2232,plain,
% 55.35/55.53 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(symmetry,[status(thm)],[2225])).
% 55.35/55.53 tff(2233,plain,
% 55.35/55.53 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(symmetry,[status(thm)],[2207])).
% 55.35/55.53 tff(2234,plain,
% 55.35/55.53 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.35/55.53 inference(transitivity,[status(thm)],[2193, 2190, 2189, 2186, 2169, 2166, 2233, 2209, 2232, 2227])).
% 55.35/55.53 tff(2235,plain,
% 55.35/55.53 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.37/55.53 inference(monotonicity,[status(thm)],[2234])).
% 55.37/55.53 tff(2236,plain,
% 55.37/55.53 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.37/55.53 inference(symmetry,[status(thm)],[2166])).
% 55.37/55.53 tff(2237,plain,
% 55.37/55.53 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.37/55.53 inference(transitivity,[status(thm)],[2163, 2236, 2168, 2185, 2188, 2235, 2231, 946, 943, 933])).
% 55.37/55.53 tff(2238,plain,
% 55.37/55.53 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.37/55.53 inference(monotonicity,[status(thm)],[2237])).
% 55.37/55.53 tff(2239,plain,
% 55.37/55.53 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.37/55.53 inference(symmetry,[status(thm)],[2238])).
% 55.37/55.53 tff(2240,plain,
% 55.37/55.53 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))),
% 55.37/55.53 inference(transitivity,[status(thm)],[2239, 2197, 2155])).
% 55.37/55.53 tff(2241,plain,
% 55.37/55.53 (heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))),
% 55.37/55.53 inference(modus_ponens,[status(thm)],[464, 2240])).
% 55.37/55.53 tff(2242,plain,
% 55.37/55.53 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x13) | (x11 = x3) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x13) | (x11 = x3) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))))),
% 55.37/55.54 inference(rewrite,[status(thm)],[])).
% 55.37/55.54 tff(2243,plain,
% 55.37/55.54 (((x11 = x3) | (x11 = x13) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))))))) <=> ((x11 = x13) | (x11 = x3) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))))),
% 55.37/55.54 inference(rewrite,[status(thm)],[])).
% 55.37/55.54 tff(2244,plain,
% 55.37/55.54 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x3) | (x11 = x13) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x13) | (x11 = x3) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2243])).
% 55.37/55.54 tff(2245,plain,
% 55.37/55.54 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x3) | (x11 = x13) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x13) | (x11 = x3) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))))),
% 55.37/55.54 inference(transitivity,[status(thm)],[2244, 2242])).
% 55.37/55.54 tff(2246,plain,
% 55.37/55.54 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x3) | (x11 = x13) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))))),
% 55.37/55.54 inference(quant_inst,[status(thm)],[])).
% 55.37/55.54 tff(2247,plain,
% 55.37/55.54 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x13) | (x11 = x3) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))))))),
% 55.37/55.54 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 55.37/55.54 tff(2248,plain,
% 55.37/55.54 ((x11 = x13) | (x11 = x3) | (~heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp))))))))))))),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2247, 478])).
% 55.37/55.54 tff(2249,plain,
% 55.37/55.54 ((x11 = x13) | (x11 = x3)),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2248, 2241])).
% 55.37/55.54 tff(2250,plain,
% 55.37/55.54 (x11 = x13),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2249, 1860])).
% 55.37/55.54 tff(2251,plain,
% 55.37/55.54 (x13 = x11),
% 55.37/55.54 inference(symmetry,[status(thm)],[2250])).
% 55.37/55.54 tff(2252,plain,
% 55.37/55.54 (lseg(x13, x3) = lseg(x11, x3)),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2251])).
% 55.37/55.54 tff(2253,plain,
% 55.37/55.54 (sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2252])).
% 55.37/55.54 tff(2254,plain,
% 55.37/55.54 (sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.54 inference(transitivity,[status(thm)],[2253, 580, 577, 503, 493, 489, 219, 216])).
% 55.37/55.54 tff(2255,plain,
% 55.37/55.54 (sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2254])).
% 55.37/55.54 tff(2256,plain,
% 55.37/55.54 (sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.37/55.54 inference(transitivity,[status(thm)],[2255, 181, 166, 164])).
% 55.37/55.54 tff(2257,plain,
% 55.37/55.54 (heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))) <=> heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2256])).
% 55.37/55.54 tff(2258,plain,
% 55.37/55.54 (heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2257])).
% 55.37/55.54 tff(2259,plain,
% 55.37/55.54 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2059])).
% 55.37/55.54 tff(2260,plain,
% 55.37/55.54 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2259])).
% 55.37/55.54 tff(2261,plain,
% 55.37/55.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.54 inference(quant_inst,[status(thm)],[])).
% 55.37/55.54 tff(2262,plain,
% 55.37/55.54 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2261, 7])).
% 55.37/55.54 tff(2263,plain,
% 55.37/55.54 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2262])).
% 55.37/55.54 tff(2264,plain,
% 55.37/55.54 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.37/55.54 inference(transitivity,[status(thm)],[2263, 2260])).
% 55.37/55.54 tff(2265,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2264])).
% 55.37/55.54 tff(2266,plain,
% 55.37/55.54 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2265])).
% 55.37/55.54 tff(2267,plain,
% 55.37/55.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.54 inference(quant_inst,[status(thm)],[])).
% 55.37/55.54 tff(2268,plain,
% 55.37/55.54 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2267, 7])).
% 55.37/55.54 tff(2269,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2268])).
% 55.37/55.54 tff(2270,plain,
% 55.37/55.54 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2264])).
% 55.37/55.54 tff(2271,plain,
% 55.37/55.54 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2270])).
% 55.37/55.54 tff(2272,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2271])).
% 55.37/55.54 tff(2273,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.54 inference(transitivity,[status(thm)],[2272, 2269, 2266])).
% 55.37/55.54 tff(2274,plain,
% 55.37/55.54 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2273])).
% 55.37/55.54 tff(2275,plain,
% 55.37/55.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.54 inference(quant_inst,[status(thm)],[])).
% 55.37/55.54 tff(2276,plain,
% 55.37/55.54 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2275, 7])).
% 55.37/55.54 tff(2277,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2276])).
% 55.37/55.54 tff(2278,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.54 inference(transitivity,[status(thm)],[2277, 2274])).
% 55.37/55.54 tff(2279,plain,
% 55.37/55.54 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2278])).
% 55.37/55.54 tff(2280,plain,
% 55.37/55.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.54 inference(quant_inst,[status(thm)],[])).
% 55.37/55.54 tff(2281,plain,
% 55.37/55.54 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2280, 7])).
% 55.37/55.54 tff(2282,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2281])).
% 55.37/55.54 tff(2283,plain,
% 55.37/55.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.54 inference(quant_inst,[status(thm)],[])).
% 55.37/55.54 tff(2284,plain,
% 55.37/55.54 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.54 inference(unit_resolution,[status(thm)],[2283, 7])).
% 55.37/55.54 tff(2285,plain,
% 55.37/55.54 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.54 inference(symmetry,[status(thm)],[2284])).
% 55.37/55.54 tff(2286,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.54 inference(monotonicity,[status(thm)],[2285])).
% 55.37/55.54 tff(2287,plain,
% 55.37/55.54 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.55 inference(transitivity,[status(thm)],[2286, 2282, 2279])).
% 55.37/55.55 tff(2288,plain,
% 55.37/55.55 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2287])).
% 55.37/55.55 tff(2289,plain,
% 55.37/55.55 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2288])).
% 55.37/55.55 tff(2290,plain,
% 55.37/55.55 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.55 inference(quant_inst,[status(thm)],[])).
% 55.37/55.55 tff(2291,plain,
% 55.37/55.55 (sep(lseg(x1, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.55 inference(unit_resolution,[status(thm)],[2290, 500])).
% 55.37/55.55 tff(2292,plain,
% 55.37/55.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(quant_inst,[status(thm)],[])).
% 55.37/55.55 tff(2293,plain,
% 55.37/55.55 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.37/55.55 inference(unit_resolution,[status(thm)],[2292, 7])).
% 55.37/55.55 tff(2294,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2036])).
% 55.37/55.55 tff(2295,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2294])).
% 55.37/55.55 tff(2296,plain,
% 55.37/55.55 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2295])).
% 55.37/55.55 tff(2297,plain,
% 55.37/55.55 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.37/55.55 inference(transitivity,[status(thm)],[2296, 2293])).
% 55.37/55.55 tff(2298,plain,
% 55.37/55.55 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2297])).
% 55.37/55.55 tff(2299,plain,
% 55.37/55.55 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2298])).
% 55.37/55.55 tff(2300,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2299])).
% 55.37/55.55 tff(2301,plain,
% 55.37/55.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.55 inference(quant_inst,[status(thm)],[])).
% 55.37/55.55 tff(2302,plain,
% 55.37/55.55 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(unit_resolution,[status(thm)],[2301, 7])).
% 55.37/55.55 tff(2303,plain,
% 55.37/55.55 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2296])).
% 55.37/55.55 tff(2304,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2293])).
% 55.37/55.55 tff(2305,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.55 inference(transitivity,[status(thm)],[2304, 2303])).
% 55.37/55.55 tff(2306,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2305])).
% 55.37/55.55 tff(2307,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2306])).
% 55.37/55.55 tff(2308,plain,
% 55.37/55.55 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2307])).
% 55.37/55.55 tff(2309,plain,
% 55.37/55.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(quant_inst,[status(thm)],[])).
% 55.37/55.55 tff(2310,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(unit_resolution,[status(thm)],[2309, 7])).
% 55.37/55.55 tff(2311,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2310])).
% 55.37/55.55 tff(2312,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(transitivity,[status(thm)],[2311, 2306])).
% 55.37/55.55 tff(2313,plain,
% 55.37/55.55 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2312])).
% 55.37/55.55 tff(2314,plain,
% 55.37/55.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.55 inference(quant_inst,[status(thm)],[])).
% 55.37/55.55 tff(2315,plain,
% 55.37/55.55 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(unit_resolution,[status(thm)],[2314, 7])).
% 55.37/55.55 tff(2316,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2315])).
% 55.37/55.55 tff(2317,plain,
% 55.37/55.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.55 inference(quant_inst,[status(thm)],[])).
% 55.37/55.55 tff(2318,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(unit_resolution,[status(thm)],[2317, 7])).
% 55.37/55.55 tff(2319,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(monotonicity,[status(thm)],[2089])).
% 55.37/55.55 tff(2320,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(symmetry,[status(thm)],[2319])).
% 55.37/55.55 tff(2321,plain,
% 55.37/55.55 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.55 inference(transitivity,[status(thm)],[2320, 2318])).
% 55.37/55.55 tff(2322,plain,
% 55.37/55.55 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2321])).
% 55.37/55.56 tff(2323,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2319])).
% 55.37/55.56 tff(2324,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2325,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2324, 7])).
% 55.37/55.56 tff(2326,plain,
% 55.37/55.56 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2325])).
% 55.37/55.56 tff(2327,plain,
% 55.37/55.56 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(transitivity,[status(thm)],[2326, 2323, 2322, 2316, 2313, 2308, 2302, 2300])).
% 55.37/55.56 tff(2328,plain,
% 55.37/55.56 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2327])).
% 55.37/55.56 tff(2329,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2330,plain,
% 55.37/55.56 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2329, 7])).
% 55.37/55.56 tff(2331,plain,
% 55.37/55.56 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2330])).
% 55.37/55.56 tff(2332,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2333,plain,
% 55.37/55.56 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2332, 7])).
% 55.37/55.56 tff(2334,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2333])).
% 55.37/55.56 tff(2335,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(transitivity,[status(thm)],[2334, 2299])).
% 55.37/55.56 tff(2336,plain,
% 55.37/55.56 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2335])).
% 55.37/55.56 tff(2337,plain,
% 55.37/55.56 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2336])).
% 55.37/55.56 tff(2338,plain,
% 55.37/55.56 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2337])).
% 55.37/55.56 tff(2339,plain,
% 55.37/55.56 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(transitivity,[status(thm)],[2338, 2331, 2328])).
% 55.37/55.56 tff(2340,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2339])).
% 55.37/55.56 tff(2341,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2342,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2341, 7])).
% 55.37/55.56 tff(2343,plain,
% 55.37/55.56 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2342])).
% 55.37/55.56 tff(2344,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2337])).
% 55.37/55.56 tff(2345,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2344])).
% 55.37/55.56 tff(2346,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2347,plain,
% 55.37/55.56 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2346, 7])).
% 55.37/55.56 tff(2348,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2265])).
% 55.37/55.56 tff(2349,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2348])).
% 55.37/55.56 tff(2350,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2305])).
% 55.37/55.56 tff(2351,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2352,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2351, 7])).
% 55.37/55.56 tff(2353,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2352])).
% 55.37/55.56 tff(2354,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.56 inference(transitivity,[status(thm)],[2353, 2350, 2349])).
% 55.37/55.56 tff(2355,plain,
% 55.37/55.56 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2354])).
% 55.37/55.56 tff(2356,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2357,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2356, 7])).
% 55.37/55.56 tff(2358,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2359,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(unit_resolution,[status(thm)],[2358, 7])).
% 55.37/55.56 tff(2360,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(symmetry,[status(thm)],[2099])).
% 55.37/55.56 tff(2361,plain,
% 55.37/55.56 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.56 inference(transitivity,[status(thm)],[2360, 2359])).
% 55.37/55.56 tff(2362,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2361])).
% 55.37/55.56 tff(2363,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.56 inference(monotonicity,[status(thm)],[2099])).
% 55.37/55.56 tff(2364,plain,
% 55.37/55.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.56 inference(quant_inst,[status(thm)],[])).
% 55.37/55.56 tff(2365,plain,
% 55.37/55.56 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2364, 7])).
% 55.37/55.57 tff(2366,plain,
% 55.37/55.57 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2365])).
% 55.37/55.57 tff(2367,plain,
% 55.37/55.57 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.57 inference(transitivity,[status(thm)],[2366, 2363, 2362, 2357, 2355])).
% 55.37/55.57 tff(2368,plain,
% 55.37/55.57 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2367])).
% 55.37/55.57 tff(2369,plain,
% 55.37/55.57 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2368])).
% 55.37/55.57 tff(2370,plain,
% 55.37/55.57 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.57 inference(transitivity,[status(thm)],[2369, 2347, 2345])).
% 55.37/55.57 tff(2371,plain,
% 55.37/55.57 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2370])).
% 55.37/55.57 tff(2372,plain,
% 55.37/55.57 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.57 inference(transitivity,[status(thm)],[2371, 2343, 2340])).
% 55.37/55.57 tff(2373,plain,
% 55.37/55.57 (sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2372])).
% 55.37/55.57 tff(2374,plain,
% 55.37/55.57 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2371])).
% 55.37/55.57 tff(2375,plain,
% 55.37/55.57 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2340])).
% 55.37/55.57 tff(2376,plain,
% 55.37/55.57 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.57 inference(transitivity,[status(thm)],[2375, 2342, 2374])).
% 55.37/55.57 tff(2377,plain,
% 55.37/55.57 (lseg(x9, x1) = lseg(x1, x1)),
% 55.37/55.57 inference(symmetry,[status(thm)],[488])).
% 55.37/55.57 tff(2378,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2377, 2376])).
% 55.37/55.57 tff(2379,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2380,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2379, 7])).
% 55.37/55.57 tff(2381,plain,
% 55.37/55.57 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2380])).
% 55.37/55.57 tff(2382,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2383,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2382, 7])).
% 55.37/55.57 tff(2384,plain,
% 55.37/55.57 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2383])).
% 55.37/55.57 tff(2385,plain,
% 55.37/55.57 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2384])).
% 55.37/55.57 tff(2386,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2278])).
% 55.37/55.57 tff(2387,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2388,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2387, 7])).
% 55.37/55.57 tff(2389,plain,
% 55.37/55.57 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2388])).
% 55.37/55.57 tff(2390,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2391,plain,
% 55.37/55.57 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2390, 7])).
% 55.37/55.57 tff(2392,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2393,plain,
% 55.37/55.57 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2392, 7])).
% 55.37/55.57 tff(2394,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2395,plain,
% 55.37/55.57 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2394, 7])).
% 55.37/55.57 tff(2396,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[1571])).
% 55.37/55.57 tff(2397,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2396])).
% 55.37/55.57 tff(2398,plain,
% 55.37/55.57 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2397])).
% 55.37/55.57 tff(2399,plain,
% 55.37/55.57 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.37/55.57 inference(transitivity,[status(thm)],[2398, 2395])).
% 55.37/55.57 tff(2400,plain,
% 55.37/55.57 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2399])).
% 55.37/55.57 tff(2401,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2402,plain,
% 55.37/55.57 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2401, 7])).
% 55.37/55.57 tff(2403,plain,
% 55.37/55.57 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2402])).
% 55.37/55.57 tff(2404,plain,
% 55.37/55.57 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2403])).
% 55.37/55.57 tff(2405,plain,
% 55.37/55.57 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2404])).
% 55.37/55.57 tff(2406,plain,
% 55.37/55.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.37/55.57 inference(quant_inst,[status(thm)],[])).
% 55.37/55.57 tff(2407,plain,
% 55.37/55.57 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.37/55.57 inference(unit_resolution,[status(thm)],[2406, 7])).
% 55.37/55.57 tff(2408,plain,
% 55.37/55.57 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2407])).
% 55.37/55.57 tff(2409,plain,
% 55.37/55.57 (sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.37/55.57 inference(monotonicity,[status(thm)],[2403])).
% 55.37/55.57 tff(2410,plain,
% 55.37/55.57 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))),
% 55.37/55.57 inference(symmetry,[status(thm)],[2409])).
% 55.37/55.57 tff(2411,plain,
% 55.37/55.57 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2410])).
% 55.37/55.58 tff(2412,plain,
% 55.37/55.58 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.58 inference(transitivity,[status(thm)],[2411, 2408, 2405, 2400, 2393])).
% 55.37/55.58 tff(2413,plain,
% 55.37/55.58 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2412])).
% 55.37/55.58 tff(2414,plain,
% 55.37/55.58 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.58 inference(symmetry,[status(thm)],[2413])).
% 55.37/55.58 tff(2415,plain,
% 55.37/55.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.58 inference(quant_inst,[status(thm)],[])).
% 55.37/55.58 tff(2416,plain,
% 55.37/55.58 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.58 inference(unit_resolution,[status(thm)],[2415, 7])).
% 55.37/55.58 tff(2417,plain,
% 55.37/55.58 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2294])).
% 55.37/55.58 tff(2418,plain,
% 55.37/55.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))),
% 55.37/55.58 inference(quant_inst,[status(thm)],[])).
% 55.37/55.58 tff(2419,plain,
% 55.37/55.58 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.37/55.58 inference(unit_resolution,[status(thm)],[2418, 7])).
% 55.37/55.58 tff(2420,plain,
% 55.37/55.58 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2038])).
% 55.37/55.58 tff(2421,plain,
% 55.37/55.58 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2065])).
% 55.37/55.58 tff(2422,plain,
% 55.37/55.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.58 inference(quant_inst,[status(thm)],[])).
% 55.37/55.58 tff(2423,plain,
% 55.37/55.58 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.58 inference(unit_resolution,[status(thm)],[2422, 7])).
% 55.37/55.58 tff(2424,plain,
% 55.37/55.58 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.37/55.58 inference(symmetry,[status(thm)],[2423])).
% 55.37/55.58 tff(2425,plain,
% 55.37/55.58 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.37/55.58 inference(transitivity,[status(thm)],[2424, 2421, 2420, 2419, 2417])).
% 55.37/55.58 tff(2426,plain,
% 55.37/55.58 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2425])).
% 55.37/55.58 tff(2427,plain,
% 55.37/55.58 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.58 inference(symmetry,[status(thm)],[2426])).
% 55.37/55.58 tff(2428,plain,
% 55.37/55.58 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.58 inference(transitivity,[status(thm)],[2427, 2416, 2414])).
% 55.37/55.58 tff(2429,plain,
% 55.37/55.58 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2428])).
% 55.37/55.58 tff(2430,plain,
% 55.37/55.58 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.58 inference(symmetry,[status(thm)],[2429])).
% 55.37/55.58 tff(2431,plain,
% 55.37/55.58 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.58 inference(transitivity,[status(thm)],[2430, 2391])).
% 55.37/55.58 tff(2432,plain,
% 55.37/55.58 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2431])).
% 55.37/55.58 tff(2433,plain,
% 55.37/55.58 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.58 inference(transitivity,[status(thm)],[2432, 2389, 2386])).
% 55.37/55.58 tff(2434,plain,
% 55.37/55.58 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2433])).
% 55.37/55.58 tff(2435,plain,
% 55.37/55.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.58 inference(quant_inst,[status(thm)],[])).
% 55.37/55.58 tff(2436,plain,
% 55.37/55.58 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.58 inference(unit_resolution,[status(thm)],[2435, 7])).
% 55.37/55.58 tff(2437,plain,
% 55.37/55.58 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.58 inference(transitivity,[status(thm)],[2436, 2434])).
% 55.37/55.58 tff(2438,plain,
% 55.37/55.58 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2437])).
% 55.37/55.58 tff(2439,plain,
% 55.37/55.58 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.58 inference(transitivity,[status(thm)],[2438, 2385, 2381, 2378, 2373, 2291, 2289])).
% 55.37/55.58 tff(2440,plain,
% 55.37/55.58 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2439])).
% 55.37/55.58 tff(2441,plain,
% 55.37/55.58 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.37/55.58 inference(monotonicity,[status(thm)],[2440])).
% 55.37/55.58 tff(2442,plain,
% 55.37/55.58 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.37/55.58 inference(symmetry,[status(thm)],[2441])).
% 55.37/55.58 tff(2443,plain,
% 55.37/55.58 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.58 inference(symmetry,[status(thm)],[2347])).
% 55.37/55.58 tff(2444,plain,
% 55.37/55.58 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2273])).
% 55.37/55.59 tff(2445,plain,
% 55.37/55.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.59 inference(quant_inst,[status(thm)],[])).
% 55.37/55.59 tff(2446,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.59 inference(unit_resolution,[status(thm)],[2445, 7])).
% 55.37/55.59 tff(2447,plain,
% 55.37/55.59 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2446])).
% 55.37/55.59 tff(2448,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2271])).
% 55.37/55.59 tff(2449,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2448])).
% 55.37/55.59 tff(2450,plain,
% 55.37/55.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.59 inference(quant_inst,[status(thm)],[])).
% 55.37/55.59 tff(2451,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.59 inference(unit_resolution,[status(thm)],[2450, 7])).
% 55.37/55.59 tff(2452,plain,
% 55.37/55.59 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2451])).
% 55.37/55.59 tff(2453,plain,
% 55.37/55.59 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.37/55.59 inference(transitivity,[status(thm)],[2452, 2449])).
% 55.37/55.59 tff(2454,plain,
% 55.37/55.59 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2453])).
% 55.37/55.59 tff(2455,plain,
% 55.37/55.59 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.59 inference(transitivity,[status(thm)],[2454, 2447, 2444])).
% 55.37/55.59 tff(2456,plain,
% 55.37/55.59 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2455])).
% 55.37/55.59 tff(2457,plain,
% 55.37/55.59 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.37/55.59 inference(transitivity,[status(thm)],[2456, 2344, 2443, 2368])).
% 55.37/55.59 tff(2458,plain,
% 55.37/55.59 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2457])).
% 55.37/55.59 tff(2459,plain,
% 55.37/55.59 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2458])).
% 55.37/55.59 tff(2460,plain,
% 55.37/55.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.59 inference(quant_inst,[status(thm)],[])).
% 55.37/55.59 tff(2461,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.59 inference(unit_resolution,[status(thm)],[2460, 7])).
% 55.37/55.59 tff(2462,plain,
% 55.37/55.59 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.59 inference(transitivity,[status(thm)],[2362, 2357, 2355])).
% 55.37/55.59 tff(2463,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2462])).
% 55.37/55.59 tff(2464,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2463])).
% 55.37/55.59 tff(2465,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.59 inference(transitivity,[status(thm)],[2464, 2461])).
% 55.37/55.59 tff(2466,plain,
% 55.37/55.59 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2465])).
% 55.37/55.59 tff(2467,plain,
% 55.37/55.59 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2466])).
% 55.37/55.59 tff(2468,plain,
% 55.37/55.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.59 inference(quant_inst,[status(thm)],[])).
% 55.37/55.59 tff(2469,plain,
% 55.37/55.59 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.59 inference(unit_resolution,[status(thm)],[2468, 7])).
% 55.37/55.59 tff(2470,plain,
% 55.37/55.59 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2098])).
% 55.37/55.59 tff(2471,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2470])).
% 55.37/55.59 tff(2472,plain,
% 55.37/55.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.59 inference(quant_inst,[status(thm)],[])).
% 55.37/55.59 tff(2473,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.59 inference(unit_resolution,[status(thm)],[2472, 7])).
% 55.37/55.59 tff(2474,plain,
% 55.37/55.59 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2473])).
% 55.37/55.59 tff(2475,plain,
% 55.37/55.59 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.37/55.59 inference(transitivity,[status(thm)],[2474, 2471])).
% 55.37/55.59 tff(2476,plain,
% 55.37/55.59 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2475])).
% 55.37/55.59 tff(2477,plain,
% 55.37/55.59 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2476])).
% 55.37/55.59 tff(2478,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2108])).
% 55.37/55.59 tff(2479,plain,
% 55.37/55.59 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.59 inference(symmetry,[status(thm)],[2106])).
% 55.37/55.59 tff(2480,plain,
% 55.37/55.59 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.59 inference(quant_inst,[status(thm)],[])).
% 55.37/55.59 tff(2481,plain,
% 55.37/55.59 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.59 inference(unit_resolution,[status(thm)],[2480, 500])).
% 55.37/55.59 tff(2482,plain,
% 55.37/55.59 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[2377])).
% 55.37/55.59 tff(2483,plain,
% 55.37/55.59 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.59 inference(monotonicity,[status(thm)],[1013])).
% 55.37/55.60 tff(2484,plain,
% 55.37/55.60 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.60 inference(transitivity,[status(thm)],[2108, 2106])).
% 55.37/55.60 tff(2485,plain,
% 55.37/55.60 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2484])).
% 55.37/55.60 tff(2486,plain,
% 55.37/55.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))))),
% 55.37/55.60 inference(quant_inst,[status(thm)],[])).
% 55.37/55.60 tff(2487,plain,
% 55.37/55.60 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.60 inference(unit_resolution,[status(thm)],[2486, 7])).
% 55.37/55.60 tff(2488,plain,
% 55.37/55.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.60 inference(quant_inst,[status(thm)],[])).
% 55.37/55.60 tff(2489,plain,
% 55.37/55.60 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.60 inference(unit_resolution,[status(thm)],[2488, 7])).
% 55.37/55.60 tff(2490,plain,
% 55.37/55.60 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.60 inference(symmetry,[status(thm)],[2489])).
% 55.37/55.60 tff(2491,plain,
% 55.37/55.60 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2490])).
% 55.37/55.60 tff(2492,plain,
% 55.37/55.60 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2475])).
% 55.37/55.60 tff(2493,plain,
% 55.37/55.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.60 inference(quant_inst,[status(thm)],[])).
% 55.37/55.60 tff(2494,plain,
% 55.37/55.60 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.60 inference(unit_resolution,[status(thm)],[2493, 7])).
% 55.37/55.60 tff(2495,plain,
% 55.37/55.60 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.60 inference(symmetry,[status(thm)],[2494])).
% 55.37/55.60 tff(2496,plain,
% 55.37/55.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.60 inference(quant_inst,[status(thm)],[])).
% 55.37/55.60 tff(2497,plain,
% 55.37/55.60 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.60 inference(unit_resolution,[status(thm)],[2496, 7])).
% 55.37/55.60 tff(2498,plain,
% 55.37/55.60 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2320])).
% 55.37/55.60 tff(2499,plain,
% 55.37/55.60 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.60 inference(symmetry,[status(thm)],[2498])).
% 55.37/55.60 tff(2500,plain,
% 55.37/55.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.60 inference(quant_inst,[status(thm)],[])).
% 55.37/55.60 tff(2501,plain,
% 55.37/55.60 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.60 inference(unit_resolution,[status(thm)],[2500, 7])).
% 55.37/55.60 tff(2502,plain,
% 55.37/55.60 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.60 inference(symmetry,[status(thm)],[2501])).
% 55.37/55.60 tff(2503,plain,
% 55.37/55.60 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2360])).
% 55.37/55.60 tff(2504,plain,
% 55.37/55.60 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.60 inference(transitivity,[status(thm)],[2503, 2502, 2499])).
% 55.37/55.60 tff(2505,plain,
% 55.37/55.60 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2504])).
% 55.37/55.60 tff(2506,plain,
% 55.37/55.60 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.60 inference(symmetry,[status(thm)],[2505])).
% 55.37/55.60 tff(2507,plain,
% 55.37/55.60 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.60 inference(transitivity,[status(thm)],[2506, 2497])).
% 55.37/55.60 tff(2508,plain,
% 55.37/55.60 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2507])).
% 55.37/55.60 tff(2509,plain,
% 55.37/55.60 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.60 inference(transitivity,[status(thm)],[2508, 2495, 2492, 2489])).
% 55.37/55.60 tff(2510,plain,
% 55.37/55.60 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.60 inference(monotonicity,[status(thm)],[2509])).
% 55.37/55.60 tff(2511,plain,
% 55.37/55.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.37/55.61 inference(quant_inst,[status(thm)],[])).
% 55.37/55.61 tff(2512,plain,
% 55.37/55.61 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.61 inference(unit_resolution,[status(thm)],[2511, 7])).
% 55.37/55.61 tff(2513,plain,
% 55.37/55.61 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2512])).
% 55.37/55.61 tff(2514,plain,
% 55.37/55.61 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2507])).
% 55.37/55.61 tff(2515,plain,
% 55.37/55.61 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2514])).
% 55.37/55.61 tff(2516,plain,
% 55.37/55.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.61 inference(quant_inst,[status(thm)],[])).
% 55.37/55.61 tff(2517,plain,
% 55.37/55.61 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.61 inference(unit_resolution,[status(thm)],[2516, 7])).
% 55.37/55.61 tff(2518,plain,
% 55.37/55.61 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2517])).
% 55.37/55.61 tff(2519,plain,
% 55.37/55.61 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2461])).
% 55.37/55.61 tff(2520,plain,
% 55.37/55.61 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.37/55.61 inference(transitivity,[status(thm)],[2519, 2463])).
% 55.37/55.61 tff(2521,plain,
% 55.37/55.61 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2520])).
% 55.37/55.61 tff(2522,plain,
% 55.37/55.61 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2521])).
% 55.37/55.61 tff(2523,plain,
% 55.37/55.61 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.61 inference(transitivity,[status(thm)],[2522, 2518, 2515])).
% 55.37/55.61 tff(2524,plain,
% 55.37/55.61 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2523])).
% 55.37/55.61 tff(2525,plain,
% 55.37/55.61 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.61 inference(transitivity,[status(thm)],[2288, 2375, 2342, 2374])).
% 55.37/55.61 tff(2526,plain,
% 55.37/55.61 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2525])).
% 55.37/55.61 tff(2527,plain,
% 55.37/55.61 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.61 inference(transitivity,[status(thm)],[2526, 2524, 2513, 2510, 2491, 2487, 2485, 2483, 2482, 2481, 2479, 2478, 2477, 2469, 2467, 2459])).
% 55.37/55.61 tff(2528,plain,
% 55.37/55.61 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2527])).
% 55.37/55.61 tff(2529,plain,
% 55.37/55.61 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2528])).
% 55.37/55.61 tff(2530,plain,
% 55.37/55.61 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.61 inference(quant_inst,[status(thm)],[])).
% 55.37/55.61 tff(2531,plain,
% 55.37/55.61 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.37/55.61 inference(unit_resolution,[status(thm)],[2530, 500])).
% 55.37/55.61 tff(2532,plain,
% 55.37/55.61 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2490])).
% 55.37/55.61 tff(2533,plain,
% 55.37/55.61 (sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2532])).
% 55.37/55.61 tff(2534,plain,
% 55.37/55.61 (sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[488, 2489])).
% 55.37/55.61 tff(2535,plain,
% 55.37/55.61 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2534])).
% 55.37/55.61 tff(2536,plain,
% 55.37/55.61 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2050])).
% 55.37/55.61 tff(2537,plain,
% 55.37/55.61 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2536])).
% 55.37/55.61 tff(2538,plain,
% 55.37/55.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.61 inference(quant_inst,[status(thm)],[])).
% 55.37/55.61 tff(2539,plain,
% 55.37/55.61 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.61 inference(unit_resolution,[status(thm)],[2538, 7])).
% 55.37/55.61 tff(2540,plain,
% 55.37/55.61 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2539])).
% 55.37/55.61 tff(2541,plain,
% 55.37/55.61 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.37/55.61 inference(transitivity,[status(thm)],[2540, 2537])).
% 55.37/55.61 tff(2542,plain,
% 55.37/55.61 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.61 inference(monotonicity,[status(thm)],[2541])).
% 55.37/55.61 tff(2543,plain,
% 55.37/55.61 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2542])).
% 55.37/55.61 tff(2544,plain,
% 55.37/55.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.61 inference(quant_inst,[status(thm)],[])).
% 55.37/55.61 tff(2545,plain,
% 55.37/55.61 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.61 inference(unit_resolution,[status(thm)],[2544, 7])).
% 55.37/55.61 tff(2546,plain,
% 55.37/55.61 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.61 inference(symmetry,[status(thm)],[2545])).
% 55.37/55.61 tff(2547,plain,
% 55.37/55.61 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.61 inference(transitivity,[status(thm)],[2546, 2543])).
% 55.37/55.61 tff(2548,plain,
% 55.37/55.61 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.62 inference(monotonicity,[status(thm)],[2547])).
% 55.37/55.62 tff(2549,plain,
% 55.37/55.62 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.62 inference(symmetry,[status(thm)],[2548])).
% 55.37/55.62 tff(2550,plain,
% 55.37/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))))),
% 55.37/55.62 inference(quant_inst,[status(thm)],[])).
% 55.37/55.62 tff(2551,plain,
% 55.37/55.62 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.62 inference(unit_resolution,[status(thm)],[2550, 7])).
% 55.37/55.62 tff(2552,plain,
% 55.37/55.62 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.62 inference(symmetry,[status(thm)],[2073])).
% 55.37/55.62 tff(2553,plain,
% 55.37/55.62 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.37/55.62 inference(transitivity,[status(thm)],[2070, 2552, 2082, 2092, 2095, 2101])).
% 55.37/55.62 tff(2554,plain,
% 55.37/55.62 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.37/55.62 inference(monotonicity,[status(thm)],[2553])).
% 55.37/55.62 tff(2555,plain,
% 55.37/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.37/55.62 inference(quant_inst,[status(thm)],[])).
% 55.37/55.62 tff(2556,plain,
% 55.37/55.62 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.62 inference(unit_resolution,[status(thm)],[2555, 7])).
% 55.37/55.62 tff(2557,plain,
% 55.37/55.62 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.37/55.62 inference(monotonicity,[status(thm)],[2541])).
% 55.37/55.62 tff(2558,plain,
% 55.37/55.62 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.62 inference(transitivity,[status(thm)],[2557, 2556, 2554])).
% 55.46/55.62 tff(2559,plain,
% 55.46/55.62 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.62 inference(monotonicity,[status(thm)],[2558])).
% 55.46/55.62 tff(2560,plain,
% 55.46/55.62 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2559])).
% 55.46/55.62 tff(2561,plain,
% 55.46/55.62 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.62 inference(transitivity,[status(thm)],[2490, 2560, 2551, 2549])).
% 55.46/55.62 tff(2562,plain,
% 55.46/55.62 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.62 inference(monotonicity,[status(thm)],[2561])).
% 55.46/55.62 tff(2563,plain,
% 55.46/55.62 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2562])).
% 55.46/55.62 tff(2564,plain,
% 55.46/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.46/55.62 inference(quant_inst,[status(thm)],[])).
% 55.46/55.62 tff(2565,plain,
% 55.46/55.62 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.62 inference(unit_resolution,[status(thm)],[2564, 7])).
% 55.46/55.62 tff(2566,plain,
% 55.46/55.62 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2565])).
% 55.46/55.62 tff(2567,plain,
% 55.46/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.62 inference(quant_inst,[status(thm)],[])).
% 55.46/55.62 tff(2568,plain,
% 55.46/55.62 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.62 inference(unit_resolution,[status(thm)],[2567, 7])).
% 55.46/55.62 tff(2569,plain,
% 55.46/55.62 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2404])).
% 55.46/55.62 tff(2570,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.46/55.62 inference(monotonicity,[status(thm)],[2569])).
% 55.46/55.62 tff(2571,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2570])).
% 55.46/55.62 tff(2572,plain,
% 55.46/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.62 inference(quant_inst,[status(thm)],[])).
% 55.46/55.62 tff(2573,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.46/55.62 inference(unit_resolution,[status(thm)],[2572, 7])).
% 55.46/55.62 tff(2574,plain,
% 55.46/55.62 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2573])).
% 55.46/55.62 tff(2575,plain,
% 55.46/55.62 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.62 inference(transitivity,[status(thm)],[2574, 2571])).
% 55.46/55.62 tff(2576,plain,
% 55.46/55.62 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.62 inference(monotonicity,[status(thm)],[2575])).
% 55.46/55.62 tff(2577,plain,
% 55.46/55.62 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2576])).
% 55.46/55.62 tff(2578,plain,
% 55.46/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.62 inference(quant_inst,[status(thm)],[])).
% 55.46/55.62 tff(2579,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.62 inference(unit_resolution,[status(thm)],[2578, 7])).
% 55.46/55.62 tff(2580,plain,
% 55.46/55.62 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2398])).
% 55.46/55.62 tff(2581,plain,
% 55.46/55.62 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2395])).
% 55.46/55.62 tff(2582,plain,
% 55.46/55.62 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.46/55.62 inference(transitivity,[status(thm)],[2581, 2580])).
% 55.46/55.62 tff(2583,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.62 inference(monotonicity,[status(thm)],[2582])).
% 55.46/55.62 tff(2584,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2583])).
% 55.46/55.62 tff(2585,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.62 inference(transitivity,[status(thm)],[2584, 2579])).
% 55.46/55.62 tff(2586,plain,
% 55.46/55.62 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.62 inference(monotonicity,[status(thm)],[2585])).
% 55.46/55.62 tff(2587,plain,
% 55.46/55.62 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2586])).
% 55.46/55.62 tff(2588,plain,
% 55.46/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.62 inference(quant_inst,[status(thm)],[])).
% 55.46/55.62 tff(2589,plain,
% 55.46/55.62 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.62 inference(unit_resolution,[status(thm)],[2588, 7])).
% 55.46/55.62 tff(2590,plain,
% 55.46/55.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.62 inference(quant_inst,[status(thm)],[])).
% 55.46/55.62 tff(2591,plain,
% 55.46/55.62 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.62 inference(unit_resolution,[status(thm)],[2590, 7])).
% 55.46/55.62 tff(2592,plain,
% 55.46/55.62 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.62 inference(symmetry,[status(thm)],[2591])).
% 55.46/55.62 tff(2593,plain,
% 55.46/55.62 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.63 inference(transitivity,[status(thm)],[2592, 2066])).
% 55.46/55.63 tff(2594,plain,
% 55.46/55.63 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2593])).
% 55.46/55.63 tff(2595,plain,
% 55.46/55.63 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.63 inference(symmetry,[status(thm)],[2594])).
% 55.46/55.63 tff(2596,plain,
% 55.46/55.63 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2066])).
% 55.46/55.63 tff(2597,plain,
% 55.46/55.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.63 inference(quant_inst,[status(thm)],[])).
% 55.46/55.63 tff(2598,plain,
% 55.46/55.63 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.63 inference(unit_resolution,[status(thm)],[2597, 7])).
% 55.46/55.63 tff(2599,plain,
% 55.46/55.63 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.63 inference(symmetry,[status(thm)],[2598])).
% 55.46/55.63 tff(2600,plain,
% 55.46/55.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.63 inference(quant_inst,[status(thm)],[])).
% 55.46/55.63 tff(2601,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.63 inference(unit_resolution,[status(thm)],[2600, 7])).
% 55.46/55.63 tff(2602,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2399])).
% 55.46/55.63 tff(2603,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.63 inference(transitivity,[status(thm)],[2602, 2601])).
% 55.46/55.63 tff(2604,plain,
% 55.46/55.63 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2603])).
% 55.46/55.63 tff(2605,plain,
% 55.46/55.63 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.63 inference(transitivity,[status(thm)],[2604, 2599, 2596, 2595, 2589, 2587, 2577])).
% 55.46/55.63 tff(2606,plain,
% 55.46/55.63 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2605])).
% 55.46/55.63 tff(2607,plain,
% 55.46/55.63 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(symmetry,[status(thm)],[2606])).
% 55.46/55.63 tff(2608,plain,
% 55.46/55.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.63 inference(quant_inst,[status(thm)],[])).
% 55.46/55.63 tff(2609,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(unit_resolution,[status(thm)],[2608, 7])).
% 55.46/55.63 tff(2610,plain,
% 55.46/55.63 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2575])).
% 55.46/55.63 tff(2611,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2610])).
% 55.46/55.63 tff(2612,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(symmetry,[status(thm)],[2611])).
% 55.46/55.63 tff(2613,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(transitivity,[status(thm)],[2612, 2609, 2607])).
% 55.46/55.63 tff(2614,plain,
% 55.46/55.63 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2613])).
% 55.46/55.63 tff(2615,plain,
% 55.46/55.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.63 inference(quant_inst,[status(thm)],[])).
% 55.46/55.63 tff(2616,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.63 inference(unit_resolution,[status(thm)],[2615, 7])).
% 55.46/55.63 tff(2617,plain,
% 55.46/55.63 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.63 inference(symmetry,[status(thm)],[2610])).
% 55.46/55.63 tff(2618,plain,
% 55.46/55.63 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2617])).
% 55.46/55.63 tff(2619,plain,
% 55.46/55.63 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(symmetry,[status(thm)],[2618])).
% 55.46/55.63 tff(2620,plain,
% 55.46/55.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.63 inference(quant_inst,[status(thm)],[])).
% 55.46/55.63 tff(2621,plain,
% 55.46/55.63 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(unit_resolution,[status(thm)],[2620, 7])).
% 55.46/55.63 tff(2622,plain,
% 55.46/55.63 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(symmetry,[status(thm)],[2621])).
% 55.46/55.63 tff(2623,plain,
% 55.46/55.63 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.63 inference(transitivity,[status(thm)],[2622, 2619])).
% 55.46/55.63 tff(2624,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2623])).
% 55.46/55.63 tff(2625,plain,
% 55.46/55.63 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.63 inference(transitivity,[status(thm)],[2624, 2616, 2614])).
% 55.46/55.63 tff(2626,plain,
% 55.46/55.63 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.63 inference(monotonicity,[status(thm)],[2625])).
% 55.46/55.63 tff(2627,plain,
% 55.46/55.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2628,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2627, 7])).
% 55.46/55.64 tff(2629,plain,
% 55.46/55.64 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2623])).
% 55.46/55.64 tff(2630,plain,
% 55.46/55.64 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2629])).
% 55.46/55.64 tff(2631,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2630])).
% 55.46/55.64 tff(2632,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2633,plain,
% 55.46/55.64 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2632, 7])).
% 55.46/55.64 tff(2634,plain,
% 55.46/55.64 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2585])).
% 55.46/55.64 tff(2635,plain,
% 55.46/55.64 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2634])).
% 55.46/55.64 tff(2636,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2637,plain,
% 55.46/55.64 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2636, 7])).
% 55.46/55.64 tff(2638,plain,
% 55.46/55.64 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2637])).
% 55.46/55.64 tff(2639,plain,
% 55.46/55.64 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.64 inference(transitivity,[status(thm)],[2638, 2635])).
% 55.46/55.64 tff(2640,plain,
% 55.46/55.64 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2639])).
% 55.46/55.64 tff(2641,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2642,plain,
% 55.46/55.64 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2641, 7])).
% 55.46/55.64 tff(2643,plain,
% 55.46/55.64 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2642])).
% 55.46/55.64 tff(2644,plain,
% 55.46/55.64 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.64 inference(transitivity,[status(thm)],[2643, 2640])).
% 55.46/55.64 tff(2645,plain,
% 55.46/55.64 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2644])).
% 55.46/55.64 tff(2646,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2647,plain,
% 55.46/55.64 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2646, 7])).
% 55.46/55.64 tff(2648,plain,
% 55.46/55.64 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2647])).
% 55.46/55.64 tff(2649,plain,
% 55.46/55.64 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.64 inference(transitivity,[status(thm)],[2648, 2645, 2633])).
% 55.46/55.64 tff(2650,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2649])).
% 55.46/55.64 tff(2651,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2652,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2651, 7])).
% 55.46/55.64 tff(2653,plain,
% 55.46/55.64 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2652])).
% 55.46/55.64 tff(2654,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2655,plain,
% 55.46/55.64 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2654, 7])).
% 55.46/55.64 tff(2656,plain,
% 55.46/55.64 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2593])).
% 55.46/55.64 tff(2657,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2658,plain,
% 55.46/55.64 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2657, 7])).
% 55.46/55.64 tff(2659,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2658])).
% 55.46/55.64 tff(2660,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.64 inference(transitivity,[status(thm)],[2659, 2656])).
% 55.46/55.64 tff(2661,plain,
% 55.46/55.64 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2660])).
% 55.46/55.64 tff(2662,plain,
% 55.46/55.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.64 inference(quant_inst,[status(thm)],[])).
% 55.46/55.64 tff(2663,plain,
% 55.46/55.64 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.64 inference(unit_resolution,[status(thm)],[2662, 7])).
% 55.46/55.64 tff(2664,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2663])).
% 55.46/55.64 tff(2665,plain,
% 55.46/55.64 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.64 inference(transitivity,[status(thm)],[2664, 2661])).
% 55.46/55.64 tff(2666,plain,
% 55.46/55.64 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.64 inference(monotonicity,[status(thm)],[2665])).
% 55.46/55.64 tff(2667,plain,
% 55.46/55.64 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.64 inference(symmetry,[status(thm)],[2666])).
% 55.46/55.64 tff(2668,plain,
% 55.46/55.64 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.65 inference(transitivity,[status(thm)],[2546, 2667, 2655])).
% 55.46/55.65 tff(2669,plain,
% 55.46/55.65 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2668])).
% 55.46/55.65 tff(2670,plain,
% 55.46/55.65 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.65 inference(transitivity,[status(thm)],[2669, 2653, 2650, 2631, 2628, 2626, 2568])).
% 55.46/55.65 tff(2671,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2670])).
% 55.46/55.65 tff(2672,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2671])).
% 55.46/55.65 tff(2673,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.65 inference(transitivity,[status(thm)],[2672, 2566, 2563, 2535, 2533, 2531])).
% 55.46/55.65 tff(2674,plain,
% 55.46/55.65 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2673])).
% 55.46/55.65 tff(2675,plain,
% 55.46/55.65 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2669])).
% 55.46/55.65 tff(2676,plain,
% 55.46/55.65 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2650])).
% 55.46/55.65 tff(2677,plain,
% 55.46/55.65 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.65 inference(transitivity,[status(thm)],[2676, 2652, 2675])).
% 55.46/55.65 tff(2678,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2677])).
% 55.46/55.65 tff(2679,plain,
% 55.46/55.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.46/55.65 inference(quant_inst,[status(thm)],[])).
% 55.46/55.65 tff(2680,plain,
% 55.46/55.65 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.65 inference(unit_resolution,[status(thm)],[2679, 7])).
% 55.46/55.65 tff(2681,plain,
% 55.46/55.65 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2617])).
% 55.46/55.65 tff(2682,plain,
% 55.46/55.65 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2681])).
% 55.46/55.65 tff(2683,plain,
% 55.46/55.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.65 inference(quant_inst,[status(thm)],[])).
% 55.46/55.65 tff(2684,plain,
% 55.46/55.65 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.65 inference(unit_resolution,[status(thm)],[2683, 7])).
% 55.46/55.65 tff(2685,plain,
% 55.46/55.65 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2684])).
% 55.46/55.65 tff(2686,plain,
% 55.46/55.65 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.65 inference(transitivity,[status(thm)],[2685, 2682])).
% 55.46/55.65 tff(2687,plain,
% 55.46/55.65 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2686])).
% 55.46/55.65 tff(2688,plain,
% 55.46/55.65 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2687])).
% 55.46/55.65 tff(2689,plain,
% 55.46/55.65 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2633])).
% 55.46/55.65 tff(2690,plain,
% 55.46/55.65 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.65 inference(transitivity,[status(thm)],[2689, 2688])).
% 55.46/55.65 tff(2691,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2690])).
% 55.46/55.65 tff(2692,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2691])).
% 55.46/55.65 tff(2693,plain,
% 55.46/55.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.65 inference(quant_inst,[status(thm)],[])).
% 55.46/55.65 tff(2694,plain,
% 55.46/55.65 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.65 inference(unit_resolution,[status(thm)],[2693, 7])).
% 55.46/55.65 tff(2695,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.65 inference(monotonicity,[status(thm)],[2399])).
% 55.46/55.65 tff(2696,plain,
% 55.46/55.65 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.65 inference(symmetry,[status(thm)],[2695])).
% 55.46/55.65 tff(2697,plain,
% 55.46/55.65 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2696])).
% 55.46/55.66 tff(2698,plain,
% 55.46/55.66 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2697])).
% 55.46/55.66 tff(2699,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2404])).
% 55.46/55.66 tff(2700,plain,
% 55.46/55.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(quant_inst,[status(thm)],[])).
% 55.46/55.66 tff(2701,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.46/55.66 inference(unit_resolution,[status(thm)],[2700, 7])).
% 55.46/55.66 tff(2702,plain,
% 55.46/55.66 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2701])).
% 55.46/55.66 tff(2703,plain,
% 55.46/55.66 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.66 inference(transitivity,[status(thm)],[2702, 2699])).
% 55.46/55.66 tff(2704,plain,
% 55.46/55.66 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2703])).
% 55.46/55.66 tff(2705,plain,
% 55.46/55.66 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.66 inference(transitivity,[status(thm)],[2704, 2698])).
% 55.46/55.66 tff(2706,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2705])).
% 55.46/55.66 tff(2707,plain,
% 55.46/55.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.66 inference(quant_inst,[status(thm)],[])).
% 55.46/55.66 tff(2708,plain,
% 55.46/55.66 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.66 inference(unit_resolution,[status(thm)],[2707, 7])).
% 55.46/55.66 tff(2709,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2703])).
% 55.46/55.66 tff(2710,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2709])).
% 55.46/55.66 tff(2711,plain,
% 55.46/55.66 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2710])).
% 55.46/55.66 tff(2712,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2696])).
% 55.46/55.66 tff(2713,plain,
% 55.46/55.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(quant_inst,[status(thm)],[])).
% 55.46/55.66 tff(2714,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.66 inference(unit_resolution,[status(thm)],[2713, 7])).
% 55.46/55.66 tff(2715,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2714])).
% 55.46/55.66 tff(2716,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(transitivity,[status(thm)],[2715, 2712])).
% 55.46/55.66 tff(2717,plain,
% 55.46/55.66 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2716])).
% 55.46/55.66 tff(2718,plain,
% 55.46/55.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.66 inference(quant_inst,[status(thm)],[])).
% 55.46/55.66 tff(2719,plain,
% 55.46/55.66 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(unit_resolution,[status(thm)],[2718, 7])).
% 55.46/55.66 tff(2720,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2719])).
% 55.46/55.66 tff(2721,plain,
% 55.46/55.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(quant_inst,[status(thm)],[])).
% 55.46/55.66 tff(2722,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.66 inference(unit_resolution,[status(thm)],[2721, 7])).
% 55.46/55.66 tff(2723,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2583])).
% 55.46/55.66 tff(2724,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2723])).
% 55.46/55.66 tff(2725,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.66 inference(transitivity,[status(thm)],[2724, 2722])).
% 55.46/55.66 tff(2726,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2725])).
% 55.46/55.66 tff(2727,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(transitivity,[status(thm)],[2726, 2720, 2717, 2711, 2708, 2706])).
% 55.46/55.66 tff(2728,plain,
% 55.46/55.66 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2727])).
% 55.46/55.66 tff(2729,plain,
% 55.46/55.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.66 inference(quant_inst,[status(thm)],[])).
% 55.46/55.66 tff(2730,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.66 inference(unit_resolution,[status(thm)],[2729, 7])).
% 55.46/55.66 tff(2731,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2686])).
% 55.46/55.66 tff(2732,plain,
% 55.46/55.66 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.66 inference(transitivity,[status(thm)],[2731, 2730, 2728])).
% 55.46/55.66 tff(2733,plain,
% 55.46/55.66 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2732])).
% 55.46/55.66 tff(2734,plain,
% 55.46/55.66 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2733])).
% 55.46/55.66 tff(2735,plain,
% 55.46/55.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.46/55.66 inference(quant_inst,[status(thm)],[])).
% 55.46/55.66 tff(2736,plain,
% 55.46/55.66 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.66 inference(unit_resolution,[status(thm)],[2735, 7])).
% 55.46/55.66 tff(2737,plain,
% 55.46/55.66 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.66 inference(symmetry,[status(thm)],[2736])).
% 55.46/55.66 tff(2738,plain,
% 55.46/55.66 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.66 inference(transitivity,[status(thm)],[2737, 2734, 2694, 2692])).
% 55.46/55.66 tff(2739,plain,
% 55.46/55.66 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2738])).
% 55.46/55.66 tff(2740,plain,
% 55.46/55.66 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2698])).
% 55.46/55.66 tff(2741,plain,
% 55.46/55.66 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.66 inference(monotonicity,[status(thm)],[2740])).
% 55.46/55.67 tff(2742,plain,
% 55.46/55.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.67 inference(quant_inst,[status(thm)],[])).
% 55.46/55.67 tff(2743,plain,
% 55.46/55.67 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.67 inference(unit_resolution,[status(thm)],[2742, 7])).
% 55.46/55.67 tff(2744,plain,
% 55.46/55.67 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2743])).
% 55.46/55.67 tff(2745,plain,
% 55.46/55.67 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))),
% 55.46/55.67 inference(transitivity,[status(thm)],[2744, 2741])).
% 55.46/55.67 tff(2746,plain,
% 55.46/55.67 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.67 inference(monotonicity,[status(thm)],[2745])).
% 55.46/55.67 tff(2747,plain,
% 55.46/55.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.67 inference(quant_inst,[status(thm)],[])).
% 55.46/55.67 tff(2748,plain,
% 55.46/55.67 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.67 inference(unit_resolution,[status(thm)],[2747, 7])).
% 55.46/55.67 tff(2749,plain,
% 55.46/55.67 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2748])).
% 55.46/55.67 tff(2750,plain,
% 55.46/55.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.67 inference(quant_inst,[status(thm)],[])).
% 55.46/55.67 tff(2751,plain,
% 55.46/55.67 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.67 inference(unit_resolution,[status(thm)],[2750, 7])).
% 55.46/55.67 tff(2752,plain,
% 55.46/55.67 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.67 inference(monotonicity,[status(thm)],[2703])).
% 55.46/55.67 tff(2753,plain,
% 55.46/55.67 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2752])).
% 55.46/55.67 tff(2754,plain,
% 55.46/55.67 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.67 inference(monotonicity,[status(thm)],[2753])).
% 55.46/55.67 tff(2755,plain,
% 55.46/55.67 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2754])).
% 55.46/55.67 tff(2756,plain,
% 55.46/55.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.67 inference(quant_inst,[status(thm)],[])).
% 55.46/55.67 tff(2757,plain,
% 55.46/55.67 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.67 inference(unit_resolution,[status(thm)],[2756, 7])).
% 55.46/55.67 tff(2758,plain,
% 55.46/55.67 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2757])).
% 55.46/55.67 tff(2759,plain,
% 55.46/55.67 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2704])).
% 55.46/55.67 tff(2760,plain,
% 55.46/55.67 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.67 inference(monotonicity,[status(thm)],[2759])).
% 55.46/55.67 tff(2761,plain,
% 55.46/55.67 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.67 inference(transitivity,[status(thm)],[2760, 2758, 2755])).
% 55.46/55.67 tff(2762,plain,
% 55.46/55.67 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.67 inference(monotonicity,[status(thm)],[2761])).
% 55.46/55.67 tff(2763,plain,
% 55.46/55.67 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2762])).
% 55.46/55.67 tff(2764,plain,
% 55.46/55.67 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.67 inference(transitivity,[status(thm)],[2763, 2751])).
% 55.46/55.67 tff(2765,plain,
% 55.46/55.67 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.67 inference(monotonicity,[status(thm)],[2764])).
% 55.46/55.67 tff(2766,plain,
% 55.46/55.67 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.46/55.67 inference(transitivity,[status(thm)],[2765, 2749, 2746, 2736])).
% 55.46/55.67 tff(2767,plain,
% 55.46/55.67 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.46/55.67 inference(monotonicity,[status(thm)],[2766])).
% 55.46/55.67 tff(2768,plain,
% 55.46/55.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.46/55.67 inference(quant_inst,[status(thm)],[])).
% 55.46/55.67 tff(2769,plain,
% 55.46/55.67 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.67 inference(unit_resolution,[status(thm)],[2768, 7])).
% 55.46/55.67 tff(2770,plain,
% 55.46/55.67 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.67 inference(symmetry,[status(thm)],[2769])).
% 55.46/55.67 tff(2771,plain,
% 55.46/55.67 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.68 inference(monotonicity,[status(thm)],[2764])).
% 55.46/55.68 tff(2772,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2771])).
% 55.46/55.68 tff(2773,plain,
% 55.46/55.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.46/55.68 inference(quant_inst,[status(thm)],[])).
% 55.46/55.68 tff(2774,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.68 inference(unit_resolution,[status(thm)],[2773, 7])).
% 55.46/55.68 tff(2775,plain,
% 55.46/55.68 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2774])).
% 55.46/55.68 tff(2776,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.68 inference(monotonicity,[status(thm)],[2704])).
% 55.46/55.68 tff(2777,plain,
% 55.46/55.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.68 inference(quant_inst,[status(thm)],[])).
% 55.46/55.68 tff(2778,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.68 inference(unit_resolution,[status(thm)],[2777, 7])).
% 55.46/55.68 tff(2779,plain,
% 55.46/55.68 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2778])).
% 55.46/55.68 tff(2780,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.68 inference(monotonicity,[status(thm)],[2703])).
% 55.46/55.68 tff(2781,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2780])).
% 55.46/55.68 tff(2782,plain,
% 55.46/55.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.68 inference(quant_inst,[status(thm)],[])).
% 55.46/55.68 tff(2783,plain,
% 55.46/55.68 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.68 inference(unit_resolution,[status(thm)],[2782, 7])).
% 55.46/55.68 tff(2784,plain,
% 55.46/55.68 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.68 inference(transitivity,[status(thm)],[2695, 2783])).
% 55.46/55.68 tff(2785,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.68 inference(monotonicity,[status(thm)],[2784])).
% 55.46/55.68 tff(2786,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2785])).
% 55.46/55.68 tff(2787,plain,
% 55.46/55.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))),
% 55.46/55.68 inference(quant_inst,[status(thm)],[])).
% 55.46/55.68 tff(2788,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.68 inference(unit_resolution,[status(thm)],[2787, 7])).
% 55.46/55.68 tff(2789,plain,
% 55.46/55.68 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2788])).
% 55.46/55.68 tff(2790,plain,
% 55.46/55.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.68 inference(quant_inst,[status(thm)],[])).
% 55.46/55.68 tff(2791,plain,
% 55.46/55.68 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.68 inference(unit_resolution,[status(thm)],[2790, 7])).
% 55.46/55.68 tff(2792,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2791])).
% 55.46/55.68 tff(2793,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.46/55.68 inference(transitivity,[status(thm)],[2792, 2074])).
% 55.46/55.68 tff(2794,plain,
% 55.46/55.68 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.46/55.68 inference(monotonicity,[status(thm)],[2793])).
% 55.46/55.68 tff(2795,plain,
% 55.46/55.68 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2794])).
% 55.46/55.68 tff(2796,plain,
% 55.46/55.68 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.46/55.68 inference(transitivity,[status(thm)],[2795, 2789, 2786, 2781])).
% 55.46/55.68 tff(2797,plain,
% 55.46/55.68 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.68 inference(monotonicity,[status(thm)],[2796])).
% 55.46/55.68 tff(2798,plain,
% 55.46/55.68 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.46/55.68 inference(transitivity,[status(thm)],[2797, 2779, 2776])).
% 55.46/55.68 tff(2799,plain,
% 55.46/55.68 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.68 inference(monotonicity,[status(thm)],[2798])).
% 55.46/55.68 tff(2800,plain,
% 55.46/55.68 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2799])).
% 55.46/55.68 tff(2801,plain,
% 55.46/55.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.46/55.68 inference(quant_inst,[status(thm)],[])).
% 55.46/55.68 tff(2802,plain,
% 55.46/55.68 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.68 inference(unit_resolution,[status(thm)],[2801, 7])).
% 55.46/55.68 tff(2803,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.68 inference(symmetry,[status(thm)],[2802])).
% 55.46/55.68 tff(2804,plain,
% 55.46/55.68 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.46/55.68 inference(transitivity,[status(thm)],[2803, 2800])).
% 55.46/55.68 tff(2805,plain,
% 55.46/55.68 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.68 inference(monotonicity,[status(thm)],[2804])).
% 55.53/55.68 tff(2806,plain,
% 55.53/55.68 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.68 inference(symmetry,[status(thm)],[2805])).
% 55.53/55.68 tff(2807,plain,
% 55.53/55.68 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.68 inference(transitivity,[status(thm)],[2806, 2775, 2772])).
% 55.53/55.68 tff(2808,plain,
% 55.53/55.68 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.68 inference(monotonicity,[status(thm)],[2807])).
% 55.53/55.68 tff(2809,plain,
% 55.53/55.68 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.68 inference(transitivity,[status(thm)],[2808, 2770, 2767, 2739, 2680, 2678, 2671])).
% 55.53/55.68 tff(2810,plain,
% 55.53/55.68 (lseg(x2, x11) = lseg(x2, x13)),
% 55.53/55.68 inference(monotonicity,[status(thm)],[2250])).
% 55.53/55.68 tff(2811,plain,
% 55.53/55.68 (lseg(x2, x13) = lseg(x2, x11)),
% 55.53/55.68 inference(symmetry,[status(thm)],[2810])).
% 55.53/55.68 tff(2812,plain,
% 55.53/55.68 (sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.68 inference(monotonicity,[status(thm)],[2811, 2809])).
% 55.53/55.68 tff(2813,plain,
% 55.53/55.68 (sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp)))))))))),
% 55.53/55.68 inference(transitivity,[status(thm)],[2812, 2674, 2491, 2487, 2485, 2483, 2482, 2481, 2479, 2478, 2477, 2469, 2467, 2459])).
% 55.53/55.68 tff(2814,plain,
% 55.53/55.68 (heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x3, x9), emp))))))))))),
% 55.53/55.68 inference(monotonicity,[status(thm)],[2813])).
% 55.53/55.68 tff(2815,plain,
% 55.53/55.68 (heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.69 inference(transitivity,[status(thm)],[2814, 2529, 2442])).
% 55.53/55.69 tff(2816,plain,
% 55.53/55.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.69 inference(quant_inst,[status(thm)],[])).
% 55.53/55.69 tff(2817,plain,
% 55.53/55.69 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.69 inference(unit_resolution,[status(thm)],[2816, 7])).
% 55.53/55.69 tff(2818,plain,
% 55.53/55.69 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.69 inference(symmetry,[status(thm)],[2817])).
% 55.53/55.69 tff(2819,plain,
% 55.53/55.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.69 inference(quant_inst,[status(thm)],[])).
% 55.53/55.69 tff(2820,plain,
% 55.53/55.69 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.69 inference(unit_resolution,[status(thm)],[2819, 7])).
% 55.53/55.69 tff(2821,plain,
% 55.53/55.69 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.69 inference(symmetry,[status(thm)],[2820])).
% 55.53/55.69 tff(2822,plain,
% 55.53/55.69 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.69 inference(transitivity,[status(thm)],[2821, 957, 953, 936])).
% 55.53/55.69 tff(2823,plain,
% 55.53/55.69 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.69 inference(monotonicity,[status(thm)],[2822])).
% 55.53/55.69 tff(2824,plain,
% 55.53/55.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.69 inference(quant_inst,[status(thm)],[])).
% 55.53/55.69 tff(2825,plain,
% 55.53/55.69 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.69 inference(unit_resolution,[status(thm)],[2824, 7])).
% 55.53/55.69 tff(2826,plain,
% 55.53/55.69 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.69 inference(symmetry,[status(thm)],[2825])).
% 55.53/55.69 tff(2827,plain,
% 55.53/55.69 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.53/55.69 inference(transitivity,[status(thm)],[191, 194])).
% 55.53/55.69 tff(2828,plain,
% 55.53/55.69 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.69 inference(monotonicity,[status(thm)],[2827])).
% 55.53/55.69 tff(2829,plain,
% 55.53/55.69 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.69 inference(symmetry,[status(thm)],[2828])).
% 55.53/55.69 tff(2830,plain,
% 55.53/55.69 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.69 inference(monotonicity,[status(thm)],[2829])).
% 55.53/55.69 tff(2831,plain,
% 55.53/55.69 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.69 inference(symmetry,[status(thm)],[2830])).
% 55.53/55.69 tff(2832,plain,
% 55.53/55.69 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.69 inference(monotonicity,[status(thm)],[2831])).
% 55.53/55.69 tff(2833,plain,
% 55.53/55.69 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.69 inference(symmetry,[status(thm)],[2832])).
% 55.53/55.69 tff(2834,plain,
% 55.53/55.69 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.69 inference(monotonicity,[status(thm)],[2833])).
% 55.53/55.69 tff(2835,plain,
% 55.53/55.69 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.69 inference(transitivity,[status(thm)],[2834, 2826, 2823])).
% 55.53/55.69 tff(2836,plain,
% 55.53/55.69 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.69 inference(monotonicity,[status(thm)],[2835])).
% 55.53/55.69 tff(2837,plain,
% 55.53/55.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.69 inference(quant_inst,[status(thm)],[])).
% 55.53/55.69 tff(2838,plain,
% 55.53/55.69 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.69 inference(unit_resolution,[status(thm)],[2837, 7])).
% 55.53/55.69 tff(2839,plain,
% 55.53/55.69 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.69 inference(symmetry,[status(thm)],[2838])).
% 55.53/55.69 tff(2840,plain,
% 55.53/55.69 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.70 inference(transitivity,[status(thm)],[2839, 2836, 2818])).
% 55.53/55.70 tff(2841,plain,
% 55.53/55.70 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[2840])).
% 55.53/55.70 tff(2842,plain,
% 55.53/55.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.70 inference(quant_inst,[status(thm)],[])).
% 55.53/55.70 tff(2843,plain,
% 55.53/55.70 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.70 inference(unit_resolution,[status(thm)],[2842, 7])).
% 55.53/55.70 tff(2844,plain,
% 55.53/55.70 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2843])).
% 55.53/55.70 tff(2845,plain,
% 55.53/55.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.70 inference(quant_inst,[status(thm)],[])).
% 55.53/55.70 tff(2846,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.70 inference(unit_resolution,[status(thm)],[2845, 7])).
% 55.53/55.70 tff(2847,plain,
% 55.53/55.70 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[2832])).
% 55.53/55.70 tff(2848,plain,
% 55.53/55.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.70 inference(quant_inst,[status(thm)],[])).
% 55.53/55.70 tff(2849,plain,
% 55.53/55.70 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.70 inference(unit_resolution,[status(thm)],[2848, 7])).
% 55.53/55.70 tff(2850,plain,
% 55.53/55.70 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2849])).
% 55.53/55.70 tff(2851,plain,
% 55.53/55.70 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.70 inference(transitivity,[status(thm)],[2850, 2847])).
% 55.53/55.70 tff(2852,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[2851])).
% 55.53/55.70 tff(2853,plain,
% 55.53/55.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.70 inference(quant_inst,[status(thm)],[])).
% 55.53/55.70 tff(2854,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.70 inference(unit_resolution,[status(thm)],[2853, 7])).
% 55.53/55.70 tff(2855,plain,
% 55.53/55.70 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2854])).
% 55.53/55.70 tff(2856,plain,
% 55.53/55.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.70 inference(quant_inst,[status(thm)],[])).
% 55.53/55.70 tff(2857,plain,
% 55.53/55.70 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.70 inference(unit_resolution,[status(thm)],[2856, 7])).
% 55.53/55.70 tff(2858,plain,
% 55.53/55.70 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[192])).
% 55.53/55.70 tff(2859,plain,
% 55.53/55.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.70 inference(quant_inst,[status(thm)],[])).
% 55.53/55.70 tff(2860,plain,
% 55.53/55.70 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.70 inference(unit_resolution,[status(thm)],[2859, 7])).
% 55.53/55.70 tff(2861,plain,
% 55.53/55.70 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2860])).
% 55.53/55.70 tff(2862,plain,
% 55.53/55.70 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.70 inference(transitivity,[status(thm)],[2861, 2858])).
% 55.53/55.70 tff(2863,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[2862])).
% 55.53/55.70 tff(2864,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2863])).
% 55.53/55.70 tff(2865,plain,
% 55.53/55.70 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[2864])).
% 55.53/55.70 tff(2866,plain,
% 55.53/55.70 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2865])).
% 55.53/55.70 tff(2867,plain,
% 55.53/55.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.70 inference(quant_inst,[status(thm)],[])).
% 55.53/55.70 tff(2868,plain,
% 55.53/55.70 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.70 inference(unit_resolution,[status(thm)],[2867, 7])).
% 55.53/55.70 tff(2869,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2868])).
% 55.53/55.70 tff(2870,plain,
% 55.53/55.70 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[2862])).
% 55.53/55.70 tff(2871,plain,
% 55.53/55.70 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.70 inference(symmetry,[status(thm)],[2870])).
% 55.53/55.70 tff(2872,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.70 inference(monotonicity,[status(thm)],[2871])).
% 55.53/55.70 tff(2873,plain,
% 55.53/55.70 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.70 inference(transitivity,[status(thm)],[2872, 2869, 2866])).
% 55.53/55.70 tff(2874,plain,
% 55.53/55.70 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.71 inference(monotonicity,[status(thm)],[2873])).
% 55.53/55.71 tff(2875,plain,
% 55.53/55.71 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.71 inference(symmetry,[status(thm)],[2874])).
% 55.53/55.71 tff(2876,plain,
% 55.53/55.71 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.71 inference(transitivity,[status(thm)],[2875, 2857])).
% 55.53/55.71 tff(2877,plain,
% 55.53/55.71 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.71 inference(monotonicity,[status(thm)],[2876])).
% 55.53/55.71 tff(2878,plain,
% 55.53/55.71 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.71 inference(symmetry,[status(thm)],[2857])).
% 55.53/55.71 tff(2879,plain,
% 55.53/55.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.71 inference(quant_inst,[status(thm)],[])).
% 55.53/55.71 tff(2880,plain,
% 55.53/55.71 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.71 inference(unit_resolution,[status(thm)],[2879, 7])).
% 55.53/55.71 tff(2881,plain,
% 55.53/55.71 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.71 inference(symmetry,[status(thm)],[2880])).
% 55.53/55.71 tff(2882,plain,
% 55.53/55.71 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.53/55.71 inference(monotonicity,[status(thm)],[2009])).
% 55.53/55.71 tff(2883,plain,
% 55.53/55.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.71 inference(quant_inst,[status(thm)],[])).
% 55.53/55.71 tff(2884,plain,
% 55.53/55.71 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.53/55.71 inference(unit_resolution,[status(thm)],[2883, 7])).
% 55.53/55.71 tff(2885,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.53/55.71 inference(symmetry,[status(thm)],[2884])).
% 55.53/55.71 tff(2886,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.53/55.71 inference(transitivity,[status(thm)],[2885, 2882])).
% 55.53/55.71 tff(2887,plain,
% 55.53/55.71 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.71 inference(monotonicity,[status(thm)],[2886])).
% 55.53/55.71 tff(2888,plain,
% 55.53/55.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.71 inference(quant_inst,[status(thm)],[])).
% 55.53/55.71 tff(2889,plain,
% 55.53/55.71 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.71 inference(unit_resolution,[status(thm)],[2888, 7])).
% 55.53/55.71 tff(2890,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.71 inference(symmetry,[status(thm)],[2889])).
% 55.53/55.71 tff(2891,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.71 inference(transitivity,[status(thm)],[2890, 2887, 2881, 2829])).
% 55.53/55.71 tff(2892,plain,
% 55.53/55.71 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.71 inference(monotonicity,[status(thm)],[2891])).
% 55.53/55.71 tff(2893,plain,
% 55.53/55.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.71 inference(quant_inst,[status(thm)],[])).
% 55.53/55.71 tff(2894,plain,
% 55.53/55.71 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.71 inference(unit_resolution,[status(thm)],[2893, 7])).
% 55.53/55.71 tff(2895,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.71 inference(symmetry,[status(thm)],[2894])).
% 55.53/55.71 tff(2896,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.71 inference(transitivity,[status(thm)],[2895, 2892])).
% 55.53/55.71 tff(2897,plain,
% 55.53/55.71 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.71 inference(monotonicity,[status(thm)],[2896])).
% 55.53/55.71 tff(2898,plain,
% 55.53/55.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.71 inference(quant_inst,[status(thm)],[])).
% 55.53/55.71 tff(2899,plain,
% 55.53/55.71 (sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.71 inference(unit_resolution,[status(thm)],[2898, 7])).
% 55.53/55.71 tff(2900,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.71 inference(symmetry,[status(thm)],[2899])).
% 55.53/55.71 tff(2901,plain,
% 55.53/55.71 (sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.71 inference(transitivity,[status(thm)],[2900, 2897])).
% 55.53/55.71 tff(2902,plain,
% 55.53/55.71 (sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.71 inference(monotonicity,[status(thm)],[2901])).
% 55.53/55.71 tff(2903,plain,
% 55.53/55.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.71 inference(quant_inst,[status(thm)],[])).
% 55.53/55.71 tff(2904,plain,
% 55.53/55.71 (sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.72 inference(unit_resolution,[status(thm)],[2903, 7])).
% 55.53/55.72 tff(2905,plain,
% 55.53/55.72 (sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.72 inference(symmetry,[status(thm)],[2904])).
% 55.53/55.72 tff(2906,plain,
% 55.53/55.72 (sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.72 inference(transitivity,[status(thm)],[2905, 2902, 2878, 2874])).
% 55.53/55.72 tff(2907,plain,
% 55.53/55.72 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.72 inference(monotonicity,[status(thm)],[2906])).
% 55.53/55.72 tff(2908,plain,
% 55.53/55.72 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.72 inference(quant_inst,[status(thm)],[])).
% 55.53/55.72 tff(2909,plain,
% 55.53/55.72 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.72 inference(unit_resolution,[status(thm)],[2908, 7])).
% 55.53/55.72 tff(2910,plain,
% 55.53/55.72 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.72 inference(symmetry,[status(thm)],[2909])).
% 55.53/55.72 tff(2911,plain,
% 55.53/55.72 (sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.72 inference(transitivity,[status(thm)],[2910, 2907, 2877, 2855, 2852, 2846])).
% 55.53/55.72 tff(2912,plain,
% 55.53/55.72 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.72 inference(monotonicity,[status(thm)],[2911])).
% 55.53/55.72 tff(2913,plain,
% 55.53/55.72 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.72 inference(transitivity,[status(thm)],[2912, 2844, 2841])).
% 55.53/55.72 tff(2914,plain,
% 55.53/55.72 (heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.72 inference(monotonicity,[status(thm)],[2913])).
% 55.53/55.72 tff(2915,plain,
% 55.53/55.72 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.72 inference(symmetry,[status(thm)],[2914])).
% 55.53/55.72 tff(2916,plain,
% 55.53/55.72 (heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.72 inference(modus_ponens,[status(thm)],[464, 2915])).
% 55.53/55.72 tff(2917,plain,
% 55.53/55.72 (^[Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : refl((heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))) <=> (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))))),
% 55.53/55.72 inference(bind,[status(th)],[])).
% 55.53/55.72 tff(2918,plain,
% 55.53/55.72 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))) <=> ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 55.53/55.72 inference(quant_intro,[status(thm)],[2917])).
% 55.53/55.72 tff(2919,plain,
% 55.53/55.72 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))) <=> ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 55.53/55.72 inference(rewrite,[status(thm)],[])).
% 55.53/55.72 tff(2920,plain,
% 55.53/55.72 (^[Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : rewrite((((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma)))) <=> (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))))),
% 55.53/55.72 inference(bind,[status(th)],[])).
% 55.53/55.72 tff(2921,plain,
% 55.53/55.72 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma)))) <=> ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 55.53/55.72 inference(quant_intro,[status(thm)],[2920])).
% 55.53/55.72 tff(2922,axiom,(![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','unfolding_5')).
% 55.53/55.72 tff(2923,plain,
% 55.53/55.72 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 55.53/55.72 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 55.53/55.72 tff(2924,plain,
% 55.53/55.72 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 55.53/55.72 inference(modus_ponens,[status(thm)],[2923, 2919])).
% 55.53/55.72 tff(2925,plain,(
% 55.53/55.72 ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 55.53/55.72 inference(skolemize,[status(sab)],[2924])).
% 55.53/55.72 tff(2926,plain,
% 55.53/55.72 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 55.53/55.72 inference(modus_ponens,[status(thm)],[2925, 2918])).
% 55.53/55.72 tff(2927,plain,
% 55.53/55.72 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.72 inference(rewrite,[status(thm)],[])).
% 55.53/55.72 tff(2928,plain,
% 55.53/55.72 ((heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (x13 = x12) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))) <=> ((x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.72 inference(rewrite,[status(thm)],[])).
% 55.53/55.72 tff(2929,plain,
% 55.53/55.72 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (x13 = x12) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))))),
% 55.53/55.72 inference(monotonicity,[status(thm)],[2928])).
% 55.53/55.72 tff(2930,plain,
% 55.53/55.72 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (x13 = x12) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.72 inference(transitivity,[status(thm)],[2929, 2927])).
% 55.53/55.72 tff(2931,plain,
% 55.53/55.72 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (x13 = x12) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.72 inference(quant_inst,[status(thm)],[])).
% 55.53/55.72 tff(2932,plain,
% 55.53/55.72 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.73 inference(modus_ponens,[status(thm)],[2931, 2930])).
% 55.53/55.73 tff(2933,plain,
% 55.53/55.73 ((x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) | (~heap(sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2932, 2926])).
% 55.53/55.73 tff(2934,plain,
% 55.53/55.73 ((x13 = x12) | heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2933, 2916])).
% 55.53/55.73 tff(2935,plain,
% 55.53/55.73 (heap(sep(lseg(x2, x13), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2934, 581])).
% 55.53/55.73 tff(2936,plain,
% 55.53/55.73 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.73 inference(modus_ponens,[status(thm)],[2935, 2815])).
% 55.53/55.73 tff(2937,plain,
% 55.53/55.73 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2436])).
% 55.53/55.73 tff(2938,plain,
% 55.53/55.73 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2434])).
% 55.53/55.73 tff(2939,plain,
% 55.53/55.73 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2112])).
% 55.53/55.73 tff(2940,plain,
% 55.53/55.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))),
% 55.53/55.73 inference(quant_inst,[status(thm)],[])).
% 55.53/55.73 tff(2941,plain,
% 55.53/55.73 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2940, 7])).
% 55.53/55.73 tff(2942,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2941])).
% 55.53/55.73 tff(2943,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.53/55.73 inference(transitivity,[status(thm)],[2942, 2939])).
% 55.53/55.73 tff(2944,plain,
% 55.53/55.73 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2943])).
% 55.53/55.73 tff(2945,plain,
% 55.53/55.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))),
% 55.53/55.73 inference(quant_inst,[status(thm)],[])).
% 55.53/55.73 tff(2946,plain,
% 55.53/55.73 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2945, 7])).
% 55.53/55.73 tff(2947,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2946])).
% 55.53/55.73 tff(2948,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.53/55.73 inference(transitivity,[status(thm)],[2947, 2944])).
% 55.53/55.73 tff(2949,plain,
% 55.53/55.73 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2948])).
% 55.53/55.73 tff(2950,plain,
% 55.53/55.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))),
% 55.53/55.73 inference(quant_inst,[status(thm)],[])).
% 55.53/55.73 tff(2951,plain,
% 55.53/55.73 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2950, 7])).
% 55.53/55.73 tff(2952,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2951])).
% 55.53/55.73 tff(2953,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.53/55.73 inference(transitivity,[status(thm)],[2952, 2949])).
% 55.53/55.73 tff(2954,plain,
% 55.53/55.73 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2953])).
% 55.53/55.73 tff(2955,plain,
% 55.53/55.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))),
% 55.53/55.73 inference(quant_inst,[status(thm)],[])).
% 55.53/55.73 tff(2956,plain,
% 55.53/55.73 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2955, 7])).
% 55.53/55.73 tff(2957,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2956])).
% 55.53/55.73 tff(2958,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.53/55.73 inference(transitivity,[status(thm)],[2957, 2954])).
% 55.53/55.73 tff(2959,plain,
% 55.53/55.73 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2958])).
% 55.53/55.73 tff(2960,plain,
% 55.53/55.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))),
% 55.53/55.73 inference(quant_inst,[status(thm)],[])).
% 55.53/55.73 tff(2961,plain,
% 55.53/55.73 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2960, 7])).
% 55.53/55.73 tff(2962,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2961])).
% 55.53/55.73 tff(2963,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.73 inference(transitivity,[status(thm)],[2962, 2959])).
% 55.53/55.73 tff(2964,plain,
% 55.53/55.73 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2963])).
% 55.53/55.73 tff(2965,plain,
% 55.53/55.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))))),
% 55.53/55.73 inference(quant_inst,[status(thm)],[])).
% 55.53/55.73 tff(2966,plain,
% 55.53/55.73 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))),
% 55.53/55.73 inference(unit_resolution,[status(thm)],[2965, 7])).
% 55.53/55.73 tff(2967,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))),
% 55.53/55.73 inference(symmetry,[status(thm)],[2966])).
% 55.53/55.73 tff(2968,plain,
% 55.53/55.73 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.73 inference(transitivity,[status(thm)],[2967, 2964, 2938, 2937])).
% 55.53/55.73 tff(2969,plain,
% 55.53/55.73 (lseg(x11, x8) = lseg(x13, x8)),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2250])).
% 55.53/55.73 tff(2970,plain,
% 55.53/55.73 (sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2969, 2968])).
% 55.53/55.73 tff(2971,plain,
% 55.53/55.73 (heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))))) <=> heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2970])).
% 55.53/55.73 tff(2972,plain,
% 55.53/55.73 ((~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))))) <=> (~heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2971])).
% 55.53/55.73 tff(2973,plain,
% 55.53/55.73 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.73 inference(transitivity,[status(thm)],[1665, 1662])).
% 55.53/55.73 tff(2974,plain,
% 55.53/55.73 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.73 inference(monotonicity,[status(thm)],[2973])).
% 55.53/55.73 tff(2975,plain,
% 55.53/55.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.74 inference(quant_inst,[status(thm)],[])).
% 55.53/55.74 tff(2976,plain,
% 55.53/55.74 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.74 inference(unit_resolution,[status(thm)],[2975, 7])).
% 55.53/55.74 tff(2977,plain,
% 55.53/55.74 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.74 inference(symmetry,[status(thm)],[2976])).
% 55.53/55.74 tff(2978,plain,
% 55.53/55.74 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.74 inference(monotonicity,[status(thm)],[170])).
% 55.53/55.74 tff(2979,plain,
% 55.53/55.74 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.74 inference(quant_inst,[status(thm)],[])).
% 55.53/55.74 tff(2980,plain,
% 55.53/55.74 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.74 inference(unit_resolution,[status(thm)],[2979, 7])).
% 55.53/55.74 tff(2981,plain,
% 55.53/55.74 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.74 inference(symmetry,[status(thm)],[2980])).
% 55.53/55.74 tff(2982,plain,
% 55.53/55.74 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.74 inference(transitivity,[status(thm)],[2981, 2978])).
% 55.53/55.74 tff(2983,plain,
% 55.53/55.74 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.74 inference(monotonicity,[status(thm)],[2982])).
% 55.53/55.74 tff(2984,assumption,(heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))))), introduced(assumption)).
% 55.53/55.74 tff(2985,assumption,(~(x11 = x3)), introduced(assumption)).
% 55.53/55.74 tff(2986,plain,
% 55.53/55.74 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x3) | (x11 = x8) | (~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x3) | (x11 = x8) | (~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))))))),
% 55.53/55.74 inference(rewrite,[status(thm)],[])).
% 55.53/55.74 tff(2987,plain,
% 55.53/55.74 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x3) | (x11 = x8) | (~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))))))),
% 55.53/55.74 inference(quant_inst,[status(thm)],[])).
% 55.53/55.74 tff(2988,plain,
% 55.53/55.74 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x3) | (x11 = x8) | (~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))))))),
% 55.53/55.74 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 55.53/55.74 tff(2989,plain,
% 55.53/55.74 ((x11 = x3) | (x11 = x8) | (~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))))))),
% 55.53/55.74 inference(unit_resolution,[status(thm)],[2988, 478])).
% 55.53/55.74 tff(2990,plain,
% 55.53/55.74 (x11 = x8),
% 55.53/55.74 inference(unit_resolution,[status(thm)],[2989, 2985, 2984])).
% 55.53/55.74 tff(2991,plain,
% 55.53/55.74 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.74 inference(monotonicity,[status(thm)],[410])).
% 55.53/55.74 tff(2992,plain,
% 55.53/55.74 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.74 inference(symmetry,[status(thm)],[2991])).
% 55.53/55.74 tff(2993,plain,
% 55.53/55.74 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.74 inference(transitivity,[status(thm)],[2992, 311])).
% 55.53/55.74 tff(2994,plain,
% 55.53/55.74 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.74 inference(monotonicity,[status(thm)],[2993])).
% 55.53/55.74 tff(2995,plain,
% 55.53/55.74 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.74 inference(transitivity,[status(thm)],[347, 338, 335, 2994, 309, 306, 301, 298, 296])).
% 55.53/55.74 tff(2996,plain,
% 55.53/55.74 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.74 inference(monotonicity,[status(thm)],[2995])).
% 55.53/55.74 tff(2997,plain,
% 55.53/55.74 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.74 inference(monotonicity,[status(thm)],[2992])).
% 55.53/55.74 tff(2998,plain,
% 55.53/55.74 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.74 inference(symmetry,[status(thm)],[2997])).
% 55.53/55.74 tff(2999,plain,
% 55.53/55.74 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.74 inference(transitivity,[status(thm)],[413, 407, 2998, 402, 400, 398])).
% 55.53/55.74 tff(3000,plain,
% 55.53/55.74 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.74 inference(monotonicity,[status(thm)],[2999])).
% 55.53/55.74 tff(3001,plain,
% 55.53/55.74 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.74 inference(transitivity,[status(thm)],[3000, 389, 387, 367, 352, 2996, 274])).
% 55.53/55.74 tff(3002,plain,
% 55.53/55.74 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3001])).
% 55.53/55.75 tff(3003,plain,
% 55.53/55.75 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[456, 453, 419, 3002])).
% 55.53/55.75 tff(3004,plain,
% 55.53/55.75 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3003])).
% 55.53/55.75 tff(3005,plain,
% 55.53/55.75 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[3004, 272, 269])).
% 55.53/55.75 tff(3006,plain,
% 55.53/55.75 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3005])).
% 55.53/55.75 tff(3007,plain,
% 55.53/55.75 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.75 inference(symmetry,[status(thm)],[3006])).
% 55.53/55.75 tff(3008,plain,
% 55.53/55.75 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.75 inference(modus_ponens,[status(thm)],[464, 3007])).
% 55.53/55.75 tff(3009,plain,
% 55.53/55.75 (x9 = x1),
% 55.53/55.75 inference(unit_resolution,[status(thm)],[485, 3008])).
% 55.53/55.75 tff(3010,plain,
% 55.53/55.75 (x1 = x9),
% 55.53/55.75 inference(symmetry,[status(thm)],[3009])).
% 55.53/55.75 tff(3011,plain,
% 55.53/55.75 (lseg(x1, x1) = lseg(x9, x1)),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3010])).
% 55.53/55.75 tff(3012,plain,
% 55.53/55.75 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3011])).
% 55.53/55.75 tff(3013,plain,
% 55.53/55.75 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[1930, 1938, 2194, 1951, 1954, 2004, 2193, 3012, 2189, 2186, 2169, 2166, 2164])).
% 55.53/55.75 tff(3014,plain,
% 55.53/55.75 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3013])).
% 55.53/55.75 tff(3015,plain,
% 55.53/55.75 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(symmetry,[status(thm)],[3014])).
% 55.53/55.75 tff(3016,plain,
% 55.53/55.75 (lseg(x1, x14) = lseg(x9, x14)),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3010])).
% 55.53/55.75 tff(3017,plain,
% 55.53/55.75 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3016, 992])).
% 55.53/55.75 tff(3018,plain,
% 55.53/55.75 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[3017, 990, 987])).
% 55.53/55.75 tff(3019,plain,
% 55.53/55.75 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3018])).
% 55.53/55.75 tff(3020,plain,
% 55.53/55.75 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[3019, 946, 943, 933])).
% 55.53/55.75 tff(3021,plain,
% 55.53/55.75 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3020])).
% 55.53/55.75 tff(3022,plain,
% 55.53/55.75 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.75 inference(symmetry,[status(thm)],[3021])).
% 55.53/55.75 tff(3023,plain,
% 55.53/55.75 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.75 inference(modus_ponens,[status(thm)],[464, 3022])).
% 55.53/55.75 tff(3024,plain,
% 55.53/55.75 ((x1 = x14) <=> (x9 = x14)),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3010])).
% 55.53/55.75 tff(3025,plain,
% 55.53/55.75 ((x9 = x14) <=> (x1 = x14)),
% 55.53/55.75 inference(symmetry,[status(thm)],[3024])).
% 55.53/55.75 tff(3026,plain,
% 55.53/55.75 ((~(x9 = x14)) <=> (~(x1 = x14))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3025])).
% 55.53/55.75 tff(3027,plain,
% 55.53/55.75 (~(x1 = x14)),
% 55.53/55.75 inference(modus_ponens,[status(thm)],[468, 3026])).
% 55.53/55.75 tff(3028,plain,
% 55.53/55.75 (x1 = x7),
% 55.53/55.75 inference(unit_resolution,[status(thm)],[1010, 478, 3027, 3023])).
% 55.53/55.75 tff(3029,plain,
% 55.53/55.75 (x7 = x1),
% 55.53/55.75 inference(symmetry,[status(thm)],[3028])).
% 55.53/55.75 tff(3030,plain,
% 55.53/55.75 (lseg(x1, x7) = lseg(x9, x1)),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3010, 3029])).
% 55.53/55.75 tff(3031,plain,
% 55.53/55.75 (lseg(x9, x1) = lseg(x1, x7)),
% 55.53/55.75 inference(symmetry,[status(thm)],[3030])).
% 55.53/55.75 tff(3032,plain,
% 55.53/55.75 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3031, 2229])).
% 55.53/55.75 tff(3033,plain,
% 55.53/55.75 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[2193, 3012, 2189, 2186, 2169, 2166, 2233, 2209, 2232, 2227])).
% 55.53/55.75 tff(3034,plain,
% 55.53/55.75 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3033])).
% 55.53/55.75 tff(3035,plain,
% 55.53/55.75 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[2163, 2236, 2168, 2185, 2188, 3034, 3032, 946, 943, 933])).
% 55.53/55.75 tff(3036,plain,
% 55.53/55.75 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3035])).
% 55.53/55.75 tff(3037,plain,
% 55.53/55.75 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(symmetry,[status(thm)],[3036])).
% 55.53/55.75 tff(3038,plain,
% 55.53/55.75 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[3037, 3015, 2155])).
% 55.53/55.75 tff(3039,plain,
% 55.53/55.75 (heap(sep(lseg(x11, x13), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), emp)))))))))))),
% 55.53/55.75 inference(modus_ponens,[status(thm)],[464, 3038])).
% 55.53/55.75 tff(3040,plain,
% 55.53/55.75 ((x11 = x13) | (x11 = x3)),
% 55.53/55.75 inference(unit_resolution,[status(thm)],[2248, 3039])).
% 55.53/55.75 tff(3041,plain,
% 55.53/55.75 (x11 = x13),
% 55.53/55.75 inference(unit_resolution,[status(thm)],[3040, 2985])).
% 55.53/55.75 tff(3042,plain,
% 55.53/55.75 (x13 = x11),
% 55.53/55.75 inference(symmetry,[status(thm)],[3041])).
% 55.53/55.75 tff(3043,plain,
% 55.53/55.75 (x13 = x8),
% 55.53/55.75 inference(transitivity,[status(thm)],[3042, 2990])).
% 55.53/55.75 tff(3044,plain,
% 55.53/55.75 (lseg(x13, x14) = lseg(x8, x14)),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3043])).
% 55.53/55.75 tff(3045,plain,
% 55.53/55.75 (sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(monotonicity,[status(thm)],[3044, 2983])).
% 55.53/55.75 tff(3046,plain,
% 55.53/55.75 (sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.75 inference(transitivity,[status(thm)],[3045, 2977, 2974, 933])).
% 55.53/55.75 tff(3047,plain,
% 55.53/55.75 (heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.76 inference(monotonicity,[status(thm)],[3046])).
% 55.53/55.76 tff(3048,plain,
% 55.53/55.76 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.76 inference(symmetry,[status(thm)],[3047])).
% 55.53/55.76 tff(3049,plain,
% 55.53/55.76 (heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.76 inference(modus_ponens,[status(thm)],[464, 3048])).
% 55.53/55.76 tff(3050,plain,
% 55.53/55.76 ((~(x13 = x14)) <=> (~(x13 = x14))),
% 55.53/55.76 inference(rewrite,[status(thm)],[])).
% 55.53/55.76 tff(3051,axiom,(~(x13 = x14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_7')).
% 55.53/55.76 tff(3052,plain,
% 55.53/55.76 (~(x13 = x14)),
% 55.53/55.76 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 55.53/55.76 tff(3053,plain,
% 55.53/55.76 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x14) | (x13 = x12) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x13 = x14) | (x13 = x12) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.76 inference(rewrite,[status(thm)],[])).
% 55.53/55.76 tff(3054,plain,
% 55.53/55.76 (((x13 = x12) | (x13 = x14) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((x13 = x14) | (x13 = x12) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.76 inference(rewrite,[status(thm)],[])).
% 55.53/55.76 tff(3055,plain,
% 55.53/55.76 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x12) | (x13 = x14) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x14) | (x13 = x12) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))))),
% 55.53/55.76 inference(monotonicity,[status(thm)],[3054])).
% 55.53/55.76 tff(3056,plain,
% 55.53/55.76 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x12) | (x13 = x14) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x13 = x14) | (x13 = x12) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.76 inference(transitivity,[status(thm)],[3055, 3053])).
% 55.53/55.76 tff(3057,plain,
% 55.53/55.76 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x12) | (x13 = x14) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.76 inference(quant_inst,[status(thm)],[])).
% 55.53/55.76 tff(3058,plain,
% 55.53/55.76 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x13 = x14) | (x13 = x12) | (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.76 inference(modus_ponens,[status(thm)],[3057, 3056])).
% 55.53/55.76 tff(3059,plain,
% 55.53/55.76 (~heap(sep(lseg(x13, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.76 inference(unit_resolution,[status(thm)],[3058, 478, 3052, 581])).
% 55.53/55.76 tff(3060,plain,
% 55.53/55.76 ($false),
% 55.53/55.76 inference(unit_resolution,[status(thm)],[3059, 3049])).
% 55.53/55.76 tff(3061,plain,((x11 = x3) | (x13 = x12) | (~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp))))))))))))), inference(lemma,lemma(discharge,[]))).
% 55.53/55.76 tff(3062,plain,
% 55.53/55.76 (~heap(sep(lseg(x11, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), emp)))))))))))),
% 55.53/55.76 inference(unit_resolution,[status(thm)],[3061, 1860, 581])).
% 55.53/55.76 tff(3063,plain,
% 55.53/55.76 (~heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.76 inference(modus_ponens,[status(thm)],[3062, 2972])).
% 55.53/55.76 tff(3064,plain,
% 55.53/55.76 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x8 = x14) | heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x8 = x14) | heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.76 inference(rewrite,[status(thm)],[])).
% 55.53/55.76 tff(3065,plain,
% 55.53/55.76 ((heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (x8 = x14) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))) <=> ((x8 = x14) | heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.76 inference(rewrite,[status(thm)],[])).
% 55.53/55.76 tff(3066,plain,
% 55.53/55.76 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (x8 = x14) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x8 = x14) | heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.53/55.76 inference(monotonicity,[status(thm)],[3065])).
% 55.53/55.76 tff(3067,plain,
% 55.53/55.76 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (x8 = x14) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x8 = x14) | heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.76 inference(transitivity,[status(thm)],[3066, 3064])).
% 55.53/55.76 tff(3068,plain,
% 55.53/55.76 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (x8 = x14) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.76 inference(quant_inst,[status(thm)],[])).
% 55.53/55.76 tff(3069,plain,
% 55.53/55.76 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x8 = x14) | heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.76 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 55.53/55.76 tff(3070,plain,
% 55.53/55.76 ((x8 = x14) | heap(sep(lseg(x13, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) | (~heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.76 inference(unit_resolution,[status(thm)],[3069, 2926])).
% 55.53/55.76 tff(3071,plain,
% 55.53/55.76 (x8 = x14),
% 55.53/55.76 inference(unit_resolution,[status(thm)],[3070, 3063, 2936])).
% 55.53/55.76 tff(3072,plain,
% 55.53/55.76 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.76 inference(quant_inst,[status(thm)],[])).
% 55.53/55.76 tff(3073,plain,
% 55.53/55.76 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.76 inference(unit_resolution,[status(thm)],[3072, 7])).
% 55.53/55.76 tff(3074,plain,
% 55.53/55.76 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.53/55.76 inference(monotonicity,[status(thm)],[949])).
% 55.53/55.76 tff(3075,plain,
% 55.53/55.76 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.76 inference(monotonicity,[status(thm)],[3074])).
% 55.53/55.76 tff(3076,plain,
% 55.53/55.76 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.76 inference(quant_inst,[status(thm)],[])).
% 55.53/55.77 tff(3077,plain,
% 55.53/55.77 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.77 inference(unit_resolution,[status(thm)],[3076, 7])).
% 55.53/55.77 tff(3078,plain,
% 55.53/55.77 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.77 inference(symmetry,[status(thm)],[3077])).
% 55.53/55.77 tff(3079,plain,
% 55.53/55.77 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.53/55.77 inference(transitivity,[status(thm)],[3078, 3075])).
% 55.53/55.77 tff(3080,plain,
% 55.53/55.77 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.77 inference(monotonicity,[status(thm)],[3079])).
% 55.53/55.77 tff(3081,plain,
% 55.53/55.77 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.77 inference(symmetry,[status(thm)],[3080])).
% 55.53/55.77 tff(3082,plain,
% 55.53/55.77 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.53/55.77 inference(transitivity,[status(thm)],[3081, 3073])).
% 55.53/55.77 tff(3083,plain,
% 55.53/55.77 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.77 inference(monotonicity,[status(thm)],[3082])).
% 55.53/55.77 tff(3084,plain,
% 55.53/55.77 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.77 inference(symmetry,[status(thm)],[3083])).
% 55.53/55.77 tff(3085,plain,
% 55.53/55.77 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.77 inference(quant_inst,[status(thm)],[])).
% 55.53/55.77 tff(3086,plain,
% 55.53/55.77 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.77 inference(unit_resolution,[status(thm)],[3085, 7])).
% 55.53/55.77 tff(3087,plain,
% 55.53/55.77 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.77 inference(symmetry,[status(thm)],[3086])).
% 55.53/55.77 tff(3088,plain,
% 55.53/55.77 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x14, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.77 inference(quant_inst,[status(thm)],[])).
% 55.53/55.77 tff(3089,plain,
% 55.53/55.77 (sep(lseg(x14, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.77 inference(unit_resolution,[status(thm)],[3088, 500])).
% 55.53/55.77 tff(3090,plain,
% 55.53/55.77 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.77 inference(transitivity,[status(thm)],[3087, 3084])).
% 55.53/55.77 tff(3091,assumption,(x8 = x14), introduced(assumption)).
% 55.53/55.77 tff(3092,plain,
% 55.53/55.77 (x14 = x8),
% 55.53/55.77 inference(symmetry,[status(thm)],[3091])).
% 55.53/55.77 tff(3093,plain,
% 55.53/55.77 (lseg(x14, x14) = lseg(x8, x14)),
% 55.53/55.77 inference(monotonicity,[status(thm)],[3092])).
% 55.53/55.77 tff(3094,plain,
% 55.53/55.77 (sep(lseg(x14, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.77 inference(monotonicity,[status(thm)],[3093, 3090])).
% 55.53/55.77 tff(3095,plain,
% 55.53/55.77 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x14, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.77 inference(symmetry,[status(thm)],[3094])).
% 55.53/55.77 tff(3096,plain,
% 55.53/55.77 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.77 inference(symmetry,[status(thm)],[2974])).
% 55.53/55.77 tff(3097,plain,
% 55.53/55.77 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.53/55.77 inference(transitivity,[status(thm)],[932, 3096, 2976, 3095, 3089, 3087, 3084, 181, 166, 164])).
% 55.53/55.77 tff(3098,plain,
% 55.53/55.77 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.77 inference(monotonicity,[status(thm)],[3097])).
% 55.53/55.77 tff(3099,plain,
% 55.53/55.77 (heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.77 inference(symmetry,[status(thm)],[3098])).
% 55.53/55.77 tff(3100,plain,
% 55.53/55.77 ((~heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> (~heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.53/55.77 inference(monotonicity,[status(thm)],[3099])).
% 55.53/55.77 tff(3101,assumption,(~heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))), introduced(assumption)).
% 55.53/55.77 tff(3102,plain,
% 55.53/55.77 (~heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.53/55.77 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 55.53/55.77 tff(3103,plain,
% 55.53/55.77 ($false),
% 55.53/55.77 inference(unit_resolution,[status(thm)],[464, 3102])).
% 55.53/55.77 tff(3104,plain,((~(x8 = x14)) | heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))), inference(lemma,lemma(discharge,[]))).
% 55.53/55.78 tff(3105,plain,
% 55.53/55.78 (heap(sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.53/55.78 inference(unit_resolution,[status(thm)],[3104, 3071])).
% 55.53/55.78 tff(3106,plain,
% 55.53/55.78 (heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))),
% 55.53/55.78 inference(modus_ponens,[status(thm)],[3105, 2258])).
% 55.53/55.78 tff(3107,plain,
% 55.53/55.78 ((x13 = x3) <=> (x11 = x3)),
% 55.53/55.78 inference(monotonicity,[status(thm)],[2251])).
% 55.53/55.78 tff(3108,plain,
% 55.53/55.78 ((x11 = x3) <=> (x13 = x3)),
% 55.53/55.78 inference(symmetry,[status(thm)],[3107])).
% 55.53/55.78 tff(3109,plain,
% 55.53/55.78 ((~(x11 = x3)) <=> (~(x13 = x3))),
% 55.53/55.78 inference(monotonicity,[status(thm)],[3108])).
% 55.53/55.78 tff(3110,plain,
% 55.53/55.78 (~(x13 = x3)),
% 55.53/55.78 inference(modus_ponens,[status(thm)],[1860, 3109])).
% 55.53/55.78 tff(3111,plain,
% 55.53/55.78 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))) | (x13 = x3))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))) | (x13 = x3))),
% 55.53/55.78 inference(rewrite,[status(thm)],[])).
% 55.53/55.78 tff(3112,plain,
% 55.53/55.78 (((x13 = x3) | (x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))))) <=> ((x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))) | (x13 = x3))),
% 55.53/55.78 inference(rewrite,[status(thm)],[])).
% 55.53/55.78 tff(3113,plain,
% 55.53/55.78 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x3) | (x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))) | (x13 = x3)))),
% 55.53/55.78 inference(monotonicity,[status(thm)],[3112])).
% 55.53/55.78 tff(3114,plain,
% 55.53/55.78 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x3) | (x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))) | (x13 = x3))),
% 55.53/55.78 inference(transitivity,[status(thm)],[3113, 3111])).
% 55.53/55.78 tff(3115,plain,
% 55.53/55.78 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x13 = x3) | (x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))))),
% 55.62/55.78 inference(quant_inst,[status(thm)],[])).
% 55.62/55.78 tff(3116,plain,
% 55.62/55.78 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x13 = x12) | (~heap(sep(lseg(x13, x12), sep(lseg(x13, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))) | (x13 = x3)),
% 55.62/55.78 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 55.62/55.78 tff(3117,plain,
% 55.62/55.78 ($false),
% 55.62/55.78 inference(unit_resolution,[status(thm)],[3116, 478, 581, 3110, 3106])).
% 55.62/55.78 tff(3118,plain,(x13 = x12), inference(lemma,lemma(discharge,[]))).
% 55.62/55.78 tff(3119,plain,
% 55.62/55.78 (x12 = x13),
% 55.62/55.78 inference(symmetry,[status(thm)],[3118])).
% 55.62/55.78 tff(3120,plain,
% 55.62/55.78 ((x12 = x14) <=> (x13 = x14)),
% 55.62/55.78 inference(monotonicity,[status(thm)],[3119])).
% 55.62/55.78 tff(3121,plain,
% 55.62/55.78 ((x13 = x14) <=> (x12 = x14)),
% 55.62/55.78 inference(symmetry,[status(thm)],[3120])).
% 55.62/55.78 tff(3122,plain,
% 55.62/55.78 ((~(x13 = x14)) <=> (~(x12 = x14))),
% 55.62/55.78 inference(monotonicity,[status(thm)],[3121])).
% 55.62/55.78 tff(3123,plain,
% 55.62/55.78 (~(x12 = x14)),
% 55.62/55.78 inference(modus_ponens,[status(thm)],[3052, 3122])).
% 55.62/55.78 tff(3124,plain,
% 55.62/55.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.62/55.78 inference(quant_inst,[status(thm)],[])).
% 55.62/55.78 tff(3125,plain,
% 55.62/55.78 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.62/55.78 inference(unit_resolution,[status(thm)],[3124, 7])).
% 55.62/55.78 tff(3126,plain,
% 55.62/55.78 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.78 inference(transitivity,[status(thm)],[17, 14])).
% 55.62/55.78 tff(3127,plain,
% 55.62/55.78 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.78 inference(monotonicity,[status(thm)],[3126])).
% 55.62/55.78 tff(3128,plain,
% 55.62/55.78 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.78 inference(symmetry,[status(thm)],[3127])).
% 55.62/55.78 tff(3129,plain,
% 55.62/55.78 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.62/55.78 inference(monotonicity,[status(thm)],[3128])).
% 55.62/55.78 tff(3130,plain,
% 55.62/55.78 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.62/55.78 inference(transitivity,[status(thm)],[3129, 3125])).
% 55.62/55.78 tff(3131,plain,
% 55.62/55.78 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.62/55.78 inference(monotonicity,[status(thm)],[3130])).
% 55.62/55.78 tff(3132,plain,
% 55.62/55.78 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.62/55.78 inference(symmetry,[status(thm)],[3131])).
% 55.62/55.78 tff(3133,plain,
% 55.62/55.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.62/55.78 inference(quant_inst,[status(thm)],[])).
% 55.62/55.78 tff(3134,plain,
% 55.62/55.78 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.62/55.78 inference(unit_resolution,[status(thm)],[3133, 7])).
% 55.62/55.78 tff(3135,plain,
% 55.62/55.78 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.62/55.78 inference(symmetry,[status(thm)],[3134])).
% 55.62/55.78 tff(3136,plain,
% 55.62/55.78 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.78 inference(monotonicity,[status(thm)],[12])).
% 55.62/55.78 tff(3137,plain,
% 55.62/55.78 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.78 inference(symmetry,[status(thm)],[3136])).
% 55.62/55.78 tff(3138,plain,
% 55.62/55.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.78 inference(quant_inst,[status(thm)],[])).
% 55.62/55.78 tff(3139,plain,
% 55.62/55.78 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.78 inference(unit_resolution,[status(thm)],[3138, 7])).
% 55.62/55.78 tff(3140,plain,
% 55.62/55.78 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.78 inference(symmetry,[status(thm)],[3139])).
% 55.62/55.78 tff(3141,plain,
% 55.62/55.78 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.78 inference(transitivity,[status(thm)],[3140, 3137])).
% 55.62/55.78 tff(3142,plain,
% 55.62/55.78 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.78 inference(monotonicity,[status(thm)],[3141])).
% 55.62/55.78 tff(3143,plain,
% 55.62/55.78 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.62/55.78 inference(monotonicity,[status(thm)],[3142])).
% 55.62/55.78 tff(3144,plain,
% 55.62/55.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.62/55.78 inference(quant_inst,[status(thm)],[])).
% 55.62/55.78 tff(3145,plain,
% 55.62/55.78 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.62/55.78 inference(unit_resolution,[status(thm)],[3144, 7])).
% 55.62/55.78 tff(3146,plain,
% 55.62/55.78 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.78 inference(transitivity,[status(thm)],[3136, 3139])).
% 55.62/55.78 tff(3147,plain,
% 55.62/55.78 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.79 inference(monotonicity,[status(thm)],[3146])).
% 55.62/55.79 tff(3148,plain,
% 55.62/55.79 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.62/55.79 inference(monotonicity,[status(thm)],[3147])).
% 55.62/55.79 tff(3149,plain,
% 55.62/55.79 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.79 inference(monotonicity,[status(thm)],[116])).
% 55.62/55.79 tff(3150,plain,
% 55.62/55.79 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.62/55.79 inference(quant_inst,[status(thm)],[])).
% 55.62/55.79 tff(3151,plain,
% 55.62/55.79 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.79 inference(unit_resolution,[status(thm)],[3150, 7])).
% 55.62/55.79 tff(3152,plain,
% 55.62/55.79 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.79 inference(symmetry,[status(thm)],[3151])).
% 55.62/55.79 tff(3153,plain,
% 55.62/55.79 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.79 inference(monotonicity,[status(thm)],[89])).
% 55.62/55.79 tff(3154,plain,
% 55.62/55.79 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.62/55.79 inference(symmetry,[status(thm)],[3153])).
% 55.62/55.79 tff(3155,plain,
% 55.62/55.79 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.62/55.79 inference(monotonicity,[status(thm)],[3154])).
% 55.62/55.79 tff(3156,plain,
% 55.62/55.79 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.79 inference(transitivity,[status(thm)],[3155, 3152, 3149])).
% 55.63/55.79 tff(3157,plain,
% 55.63/55.79 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.79 inference(monotonicity,[status(thm)],[3156])).
% 55.63/55.79 tff(3158,plain,
% 55.63/55.79 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.79 inference(quant_inst,[status(thm)],[])).
% 55.63/55.79 tff(3159,plain,
% 55.63/55.79 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.79 inference(unit_resolution,[status(thm)],[3158, 7])).
% 55.63/55.79 tff(3160,plain,
% 55.63/55.79 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.79 inference(symmetry,[status(thm)],[3159])).
% 55.63/55.79 tff(3161,plain,
% 55.63/55.79 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.79 inference(monotonicity,[status(thm)],[3154])).
% 55.63/55.79 tff(3162,plain,
% 55.63/55.79 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.79 inference(symmetry,[status(thm)],[3161])).
% 55.63/55.79 tff(3163,plain,
% 55.63/55.79 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.79 inference(quant_inst,[status(thm)],[])).
% 55.63/55.79 tff(3164,plain,
% 55.63/55.79 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.79 inference(unit_resolution,[status(thm)],[3163, 7])).
% 55.63/55.79 tff(3165,plain,
% 55.63/55.79 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.63/55.79 inference(transitivity,[status(thm)],[91, 13, 16])).
% 55.63/55.79 tff(3166,plain,
% 55.63/55.79 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.79 inference(monotonicity,[status(thm)],[3165])).
% 55.63/55.79 tff(3167,plain,
% 55.63/55.79 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.79 inference(symmetry,[status(thm)],[3166])).
% 55.63/55.79 tff(3168,plain,
% 55.63/55.79 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.79 inference(transitivity,[status(thm)],[3167, 3164, 3162])).
% 55.63/55.79 tff(3169,plain,
% 55.63/55.79 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.79 inference(monotonicity,[status(thm)],[3168])).
% 55.63/55.79 tff(3170,plain,
% 55.63/55.79 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.79 inference(transitivity,[status(thm)],[3169, 3160, 3157, 3148, 3145, 3143])).
% 55.63/55.79 tff(3171,plain,
% 55.63/55.79 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.79 inference(monotonicity,[status(thm)],[3170])).
% 55.63/55.79 tff(3172,plain,
% 55.63/55.79 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.79 inference(symmetry,[status(thm)],[3171])).
% 55.63/55.79 tff(3173,plain,
% 55.63/55.79 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(quant_inst,[status(thm)],[])).
% 55.63/55.80 tff(3174,plain,
% 55.63/55.80 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.80 inference(unit_resolution,[status(thm)],[3173, 7])).
% 55.63/55.80 tff(3175,plain,
% 55.63/55.80 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[152])).
% 55.63/55.80 tff(3176,plain,
% 55.63/55.80 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[3175])).
% 55.63/55.80 tff(3177,plain,
% 55.63/55.80 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[3176, 3174])).
% 55.63/55.80 tff(3178,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3177])).
% 55.63/55.80 tff(3179,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[3178])).
% 55.63/55.80 tff(3180,plain,
% 55.63/55.80 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.80 inference(quant_inst,[status(thm)],[])).
% 55.63/55.80 tff(3181,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(unit_resolution,[status(thm)],[3180, 7])).
% 55.63/55.80 tff(3182,plain,
% 55.63/55.80 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[3181])).
% 55.63/55.80 tff(3183,plain,
% 55.63/55.80 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[3182, 3179])).
% 55.63/55.80 tff(3184,plain,
% 55.63/55.80 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3183])).
% 55.63/55.80 tff(3185,plain,
% 55.63/55.80 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.63/55.80 inference(quant_inst,[status(thm)],[])).
% 55.63/55.80 tff(3186,plain,
% 55.63/55.80 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.80 inference(unit_resolution,[status(thm)],[3185, 7])).
% 55.63/55.80 tff(3187,plain,
% 55.63/55.80 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[3186])).
% 55.63/55.80 tff(3188,plain,
% 55.63/55.80 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[824])).
% 55.63/55.80 tff(3189,plain,
% 55.63/55.80 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[823])).
% 55.63/55.80 tff(3190,plain,
% 55.63/55.80 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[3189, 3188])).
% 55.63/55.80 tff(3191,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3190])).
% 55.63/55.80 tff(3192,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[3191])).
% 55.63/55.80 tff(3193,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[3192, 821])).
% 55.63/55.80 tff(3194,plain,
% 55.63/55.80 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3193])).
% 55.63/55.80 tff(3195,plain,
% 55.63/55.80 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[850, 842, 839, 3194, 819, 816, 811, 808, 806])).
% 55.63/55.80 tff(3196,plain,
% 55.63/55.80 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3195])).
% 55.63/55.80 tff(3197,plain,
% 55.63/55.80 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[856, 855, 3196, 793])).
% 55.63/55.80 tff(3198,plain,
% 55.63/55.80 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3197])).
% 55.63/55.80 tff(3199,plain,
% 55.63/55.80 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[787, 790, 3198])).
% 55.63/55.80 tff(3200,plain,
% 55.63/55.80 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3199])).
% 55.63/55.80 tff(3201,plain,
% 55.63/55.80 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[930])).
% 55.63/55.80 tff(3202,plain,
% 55.63/55.80 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[2230, 924])).
% 55.63/55.80 tff(3203,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[918])).
% 55.63/55.80 tff(3204,plain,
% 55.63/55.80 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 55.63/55.80 inference(transitivity,[status(thm)],[915, 3203, 1022, 1025, 1032, 1126, 1129])).
% 55.63/55.80 tff(3205,plain,
% 55.63/55.80 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.63/55.80 inference(monotonicity,[status(thm)],[3204])).
% 55.63/55.80 tff(3206,plain,
% 55.63/55.80 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[3205])).
% 55.63/55.80 tff(3207,plain,
% 55.63/55.80 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[1021])).
% 55.63/55.80 tff(3208,plain,
% 55.63/55.80 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 55.63/55.80 inference(symmetry,[status(thm)],[1017])).
% 55.63/55.81 tff(3209,plain,
% 55.63/55.81 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.81 inference(transitivity,[status(thm)],[3208, 1018, 3207, 3206, 929, 928, 927])).
% 55.63/55.81 tff(3210,plain,
% 55.63/55.81 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.81 inference(monotonicity,[status(thm)],[3209])).
% 55.63/55.81 tff(3211,plain,
% 55.63/55.81 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.81 inference(transitivity,[status(thm)],[923, 922, 920, 3205, 1021, 3210, 3202, 3201, 865, 3200])).
% 55.63/55.81 tff(3212,plain,
% 55.63/55.81 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.63/55.81 inference(monotonicity,[status(thm)],[3211])).
% 55.63/55.81 tff(3213,plain,
% 55.63/55.81 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[3212])).
% 55.63/55.81 tff(3214,plain,
% 55.63/55.81 (sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.81 inference(transitivity,[status(thm)],[1172, 1169, 3205, 1021, 3210, 3202, 3201, 865, 3200])).
% 55.63/55.81 tff(3215,plain,
% 55.63/55.81 (sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.63/55.81 inference(monotonicity,[status(thm)],[1174, 3214])).
% 55.63/55.81 tff(3216,plain,
% 55.63/55.81 (sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.81 inference(transitivity,[status(thm)],[3215, 3213])).
% 55.63/55.81 tff(3217,plain,
% 55.63/55.81 (heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.63/55.81 inference(monotonicity,[status(thm)],[3216])).
% 55.63/55.81 tff(3218,plain,
% 55.63/55.81 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[3217])).
% 55.63/55.81 tff(3219,plain,
% 55.63/55.81 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.81 inference(quant_inst,[status(thm)],[])).
% 55.63/55.81 tff(3220,plain,
% 55.63/55.81 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.81 inference(unit_resolution,[status(thm)],[3219, 7])).
% 55.63/55.81 tff(3221,plain,
% 55.63/55.81 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[850])).
% 55.63/55.81 tff(3222,plain,
% 55.63/55.81 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[839])).
% 55.63/55.81 tff(3223,plain,
% 55.63/55.81 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[3194])).
% 55.63/55.81 tff(3224,plain,
% 55.63/55.81 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[816])).
% 55.63/55.81 tff(3225,plain,
% 55.63/55.81 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[811])).
% 55.63/55.81 tff(3226,plain,
% 55.63/55.81 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[808])).
% 55.63/55.81 tff(3227,plain,
% 55.63/55.81 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[806])).
% 55.63/55.81 tff(3228,plain,
% 55.63/55.81 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.63/55.81 inference(transitivity,[status(thm)],[3227, 3226, 3225, 3224, 818, 3223, 3222, 841, 3221])).
% 55.63/55.81 tff(3229,plain,
% 55.63/55.81 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.81 inference(monotonicity,[status(thm)],[3228])).
% 55.63/55.81 tff(3230,plain,
% 55.63/55.81 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.81 inference(symmetry,[status(thm)],[3229])).
% 55.63/55.81 tff(3231,plain,
% 55.63/55.81 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.81 inference(quant_inst,[status(thm)],[])).
% 55.63/55.81 tff(3232,plain,
% 55.63/55.81 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.81 inference(unit_resolution,[status(thm)],[3231, 7])).
% 55.63/55.81 tff(3233,plain,
% 55.63/55.81 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.81 inference(monotonicity,[status(thm)],[749])).
% 55.63/55.81 tff(3234,plain,
% 55.63/55.81 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3233])).
% 55.63/55.82 tff(3235,plain,
% 55.63/55.82 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(quant_inst,[status(thm)],[])).
% 55.63/55.82 tff(3236,plain,
% 55.63/55.82 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.82 inference(unit_resolution,[status(thm)],[3235, 7])).
% 55.63/55.82 tff(3237,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3236])).
% 55.63/55.82 tff(3238,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.82 inference(monotonicity,[status(thm)],[1723])).
% 55.63/55.82 tff(3239,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3238])).
% 55.63/55.82 tff(3240,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.63/55.82 inference(transitivity,[status(thm)],[3239, 3237, 3234, 3232, 3230])).
% 55.63/55.82 tff(3241,plain,
% 55.63/55.82 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(monotonicity,[status(thm)],[3240])).
% 55.63/55.82 tff(3242,plain,
% 55.63/55.82 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3241])).
% 55.63/55.82 tff(3243,plain,
% 55.63/55.82 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(quant_inst,[status(thm)],[])).
% 55.63/55.82 tff(3244,plain,
% 55.63/55.82 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(unit_resolution,[status(thm)],[3243, 7])).
% 55.63/55.82 tff(3245,plain,
% 55.63/55.82 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3244])).
% 55.63/55.82 tff(3246,plain,
% 55.63/55.82 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(monotonicity,[status(thm)],[793])).
% 55.63/55.82 tff(3247,plain,
% 55.63/55.82 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3246])).
% 55.63/55.82 tff(3248,plain,
% 55.63/55.82 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(transitivity,[status(thm)],[3247, 3245, 3242, 3220])).
% 55.63/55.82 tff(3249,plain,
% 55.63/55.82 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(monotonicity,[status(thm)],[3248])).
% 55.63/55.82 tff(3250,plain,
% 55.63/55.82 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3249])).
% 55.63/55.82 tff(3251,plain,
% 55.63/55.82 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.63/55.82 inference(quant_inst,[status(thm)],[])).
% 55.63/55.82 tff(3252,plain,
% 55.63/55.82 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(unit_resolution,[status(thm)],[3251, 7])).
% 55.63/55.82 tff(3253,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3252])).
% 55.63/55.82 tff(3254,plain,
% 55.63/55.82 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(transitivity,[status(thm)],[1721, 1719])).
% 55.63/55.82 tff(3255,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(monotonicity,[status(thm)],[3254])).
% 55.63/55.82 tff(3256,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3255])).
% 55.63/55.82 tff(3257,plain,
% 55.63/55.82 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(transitivity,[status(thm)],[1817, 1816, 1815, 1765, 1814, 1813, 1812])).
% 55.63/55.82 tff(3258,plain,
% 55.63/55.82 (lseg(x12, x12) = lseg(x13, x12)),
% 55.63/55.82 inference(monotonicity,[status(thm)],[3119])).
% 55.63/55.82 tff(3259,plain,
% 55.63/55.82 (lseg(x13, x12) = lseg(x12, x12)),
% 55.63/55.82 inference(symmetry,[status(thm)],[3258])).
% 55.63/55.82 tff(3260,plain,
% 55.63/55.82 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(monotonicity,[status(thm)],[3259, 3257])).
% 55.63/55.82 tff(3261,plain,
% 55.63/55.82 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3260])).
% 55.63/55.82 tff(3262,plain,
% 55.63/55.82 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(transitivity,[status(thm)],[1776, 1774, 1772, 1766, 1763, 1721, 1719])).
% 55.63/55.82 tff(3263,plain,
% 55.63/55.82 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(monotonicity,[status(thm)],[3262])).
% 55.63/55.82 tff(3264,plain,
% 55.63/55.82 (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3263])).
% 55.63/55.82 tff(3265,plain,
% 55.63/55.82 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(quant_inst,[status(thm)],[])).
% 55.63/55.82 tff(3266,plain,
% 55.63/55.82 (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.63/55.82 inference(unit_resolution,[status(thm)],[3265, 500])).
% 55.63/55.82 tff(3267,plain,
% 55.63/55.82 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.63/55.82 inference(symmetry,[status(thm)],[3266])).
% 55.63/55.82 tff(3268,plain,
% 55.63/55.82 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(transitivity,[status(thm)],[1721, 1719, 3267, 3264, 3261, 3256, 3253, 3250])).
% 55.67/55.83 tff(3269,plain,
% 55.67/55.83 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(monotonicity,[status(thm)],[3268])).
% 55.67/55.83 tff(3270,plain,
% 55.67/55.83 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(symmetry,[status(thm)],[3269])).
% 55.67/55.83 tff(3271,plain,
% 55.67/55.83 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(transitivity,[status(thm)],[3212, 3270])).
% 55.67/55.83 tff(3272,plain,
% 55.67/55.83 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(monotonicity,[status(thm)],[3271])).
% 55.67/55.83 tff(3273,plain,
% 55.67/55.83 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(symmetry,[status(thm)],[3272])).
% 55.67/55.83 tff(3274,plain,
% 55.67/55.83 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(transitivity,[status(thm)],[3201, 865, 3200, 1366, 1364])).
% 55.67/55.83 tff(3275,plain,
% 55.67/55.83 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(monotonicity,[status(thm)],[1369, 3274])).
% 55.67/55.83 tff(3276,plain,
% 55.67/55.83 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(symmetry,[status(thm)],[3201])).
% 55.67/55.83 tff(3277,plain,
% 55.67/55.83 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(symmetry,[status(thm)],[3200])).
% 55.67/55.83 tff(3278,plain,
% 55.67/55.83 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(transitivity,[status(thm)],[3277, 864, 3276])).
% 55.67/55.83 tff(3279,plain,
% 55.67/55.83 (x11 = x3),
% 55.67/55.83 inference(unit_resolution,[status(thm)],[2249, 1608])).
% 55.67/55.83 tff(3280,plain,
% 55.67/55.83 (lseg(x11, x9) = lseg(x3, x1)),
% 55.67/55.83 inference(monotonicity,[status(thm)],[3279, 486])).
% 55.67/55.83 tff(3281,plain,
% 55.67/55.83 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(monotonicity,[status(thm)],[3280, 3278])).
% 55.67/55.83 tff(3282,plain,
% 55.67/55.83 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(transitivity,[status(thm)],[3269, 3281, 3275, 1211, 1208])).
% 55.67/55.83 tff(3283,plain,
% 55.67/55.83 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.67/55.83 inference(monotonicity,[status(thm)],[3282])).
% 55.67/55.83 tff(3284,plain,
% 55.67/55.83 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(symmetry,[status(thm)],[3283])).
% 55.67/55.83 tff(3285,plain,
% 55.67/55.83 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(transitivity,[status(thm)],[3284, 3273, 3218])).
% 55.67/55.83 tff(3286,plain,
% 55.67/55.83 (heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(modus_ponens,[status(thm)],[464, 3285])).
% 55.67/55.83 tff(3287,plain,
% 55.67/55.83 (~heap(sep(lseg(x11, x1), sep(lseg(x11, x13), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(unit_resolution,[status(thm)],[1634, 1608])).
% 55.67/55.83 tff(3288,plain,
% 55.67/55.83 ($false),
% 55.67/55.83 inference(unit_resolution,[status(thm)],[3287, 3286])).
% 55.67/55.83 tff(3289,plain,(x11 = x13), inference(lemma,lemma(discharge,[]))).
% 55.67/55.83 tff(3290,plain,
% 55.67/55.83 (x11 = x12),
% 55.67/55.83 inference(transitivity,[status(thm)],[3289, 3118])).
% 55.67/55.83 tff(3291,plain,
% 55.67/55.83 (lseg(x2, x11) = lseg(x2, x12)),
% 55.67/55.83 inference(monotonicity,[status(thm)],[3290])).
% 55.67/55.83 tff(3292,plain,
% 55.67/55.83 (lseg(x2, x12) = lseg(x2, x11)),
% 55.67/55.83 inference(symmetry,[status(thm)],[3291])).
% 55.67/55.83 tff(3293,plain,
% 55.67/55.83 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(monotonicity,[status(thm)],[3292])).
% 55.67/55.83 tff(3294,plain,
% 55.67/55.83 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.83 inference(quant_inst,[status(thm)],[])).
% 55.67/55.83 tff(3295,plain,
% 55.67/55.83 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.83 inference(unit_resolution,[status(thm)],[3294, 7])).
% 55.67/55.83 tff(3296,plain,
% 55.67/55.83 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.83 inference(monotonicity,[status(thm)],[55])).
% 55.67/55.83 tff(3297,plain,
% 55.67/55.83 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.83 inference(quant_inst,[status(thm)],[])).
% 55.67/55.83 tff(3298,plain,
% 55.67/55.83 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.83 inference(unit_resolution,[status(thm)],[3297, 7])).
% 55.67/55.83 tff(3299,plain,
% 55.67/55.83 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3298])).
% 55.67/55.84 tff(3300,plain,
% 55.67/55.84 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.84 inference(transitivity,[status(thm)],[3299, 3296, 23])).
% 55.67/55.84 tff(3301,plain,
% 55.67/55.84 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3300])).
% 55.67/55.84 tff(3302,plain,
% 55.67/55.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(quant_inst,[status(thm)],[])).
% 55.67/55.84 tff(3303,plain,
% 55.67/55.84 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.84 inference(unit_resolution,[status(thm)],[3302, 7])).
% 55.67/55.84 tff(3304,plain,
% 55.67/55.84 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3303])).
% 55.67/55.84 tff(3305,plain,
% 55.67/55.84 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.84 inference(transitivity,[status(thm)],[3304, 3301])).
% 55.67/55.84 tff(3306,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3305])).
% 55.67/55.84 tff(3307,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3306])).
% 55.67/55.84 tff(3308,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3307])).
% 55.67/55.84 tff(3309,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3308])).
% 55.67/55.84 tff(3310,plain,
% 55.67/55.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(quant_inst,[status(thm)],[])).
% 55.67/55.84 tff(3311,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(unit_resolution,[status(thm)],[3310, 7])).
% 55.67/55.84 tff(3312,plain,
% 55.67/55.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(quant_inst,[status(thm)],[])).
% 55.67/55.84 tff(3313,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(unit_resolution,[status(thm)],[3312, 7])).
% 55.67/55.84 tff(3314,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3305])).
% 55.67/55.84 tff(3315,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(transitivity,[status(thm)],[3314, 3313])).
% 55.67/55.84 tff(3316,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3315])).
% 55.67/55.84 tff(3317,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3316])).
% 55.67/55.84 tff(3318,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(transitivity,[status(thm)],[3317, 3311, 3309])).
% 55.67/55.84 tff(3319,plain,
% 55.67/55.84 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3318])).
% 55.67/55.84 tff(3320,plain,
% 55.67/55.84 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3319])).
% 55.67/55.84 tff(3321,plain,
% 55.67/55.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.84 inference(quant_inst,[status(thm)],[])).
% 55.67/55.84 tff(3322,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(unit_resolution,[status(thm)],[3321, 7])).
% 55.67/55.84 tff(3323,plain,
% 55.67/55.84 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3305])).
% 55.67/55.84 tff(3324,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3323])).
% 55.67/55.84 tff(3325,plain,
% 55.67/55.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(quant_inst,[status(thm)],[])).
% 55.67/55.84 tff(3326,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(unit_resolution,[status(thm)],[3325, 7])).
% 55.67/55.84 tff(3327,plain,
% 55.67/55.84 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3326])).
% 55.67/55.84 tff(3328,plain,
% 55.67/55.84 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3307])).
% 55.67/55.84 tff(3329,plain,
% 55.67/55.84 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(transitivity,[status(thm)],[3328, 3327, 3324])).
% 55.67/55.84 tff(3330,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3329])).
% 55.67/55.84 tff(3331,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3330])).
% 55.67/55.84 tff(3332,plain,
% 55.67/55.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(quant_inst,[status(thm)],[])).
% 55.67/55.84 tff(3333,plain,
% 55.67/55.84 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(unit_resolution,[status(thm)],[3332, 7])).
% 55.67/55.84 tff(3334,plain,
% 55.67/55.84 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3333])).
% 55.67/55.84 tff(3335,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3334])).
% 55.67/55.84 tff(3336,plain,
% 55.67/55.84 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3335])).
% 55.67/55.84 tff(3337,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(monotonicity,[status(thm)],[3336])).
% 55.67/55.84 tff(3338,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.84 inference(symmetry,[status(thm)],[3337])).
% 55.67/55.84 tff(3339,plain,
% 55.67/55.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.84 inference(quant_inst,[status(thm)],[])).
% 55.67/55.84 tff(3340,plain,
% 55.67/55.84 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(unit_resolution,[status(thm)],[3339, 7])).
% 55.67/55.85 tff(3341,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3340])).
% 55.67/55.85 tff(3342,plain,
% 55.67/55.85 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.85 inference(monotonicity,[status(thm)],[3334])).
% 55.67/55.85 tff(3343,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(monotonicity,[status(thm)],[3342])).
% 55.67/55.85 tff(3344,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3343])).
% 55.67/55.85 tff(3345,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(transitivity,[status(thm)],[3344, 3341, 3338, 3331, 3322, 3320])).
% 55.67/55.85 tff(3346,plain,
% 55.67/55.85 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(monotonicity,[status(thm)],[3345])).
% 55.67/55.85 tff(3347,plain,
% 55.67/55.85 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3346])).
% 55.67/55.85 tff(3348,plain,
% 55.67/55.85 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.85 inference(quant_inst,[status(thm)],[])).
% 55.67/55.85 tff(3349,plain,
% 55.67/55.85 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(unit_resolution,[status(thm)],[3348, 7])).
% 55.67/55.85 tff(3350,plain,
% 55.67/55.85 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(quant_inst,[status(thm)],[])).
% 55.67/55.85 tff(3351,plain,
% 55.67/55.85 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.85 inference(unit_resolution,[status(thm)],[3350, 7])).
% 55.67/55.85 tff(3352,plain,
% 55.67/55.85 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3351])).
% 55.67/55.85 tff(3353,plain,
% 55.67/55.85 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.85 inference(transitivity,[status(thm)],[3352, 2870, 2831])).
% 55.67/55.85 tff(3354,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(monotonicity,[status(thm)],[3353])).
% 55.67/55.85 tff(3355,plain,
% 55.67/55.85 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(quant_inst,[status(thm)],[])).
% 55.67/55.85 tff(3356,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(unit_resolution,[status(thm)],[3355, 7])).
% 55.67/55.85 tff(3357,plain,
% 55.67/55.85 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3356])).
% 55.67/55.85 tff(3358,plain,
% 55.67/55.85 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.85 inference(transitivity,[status(thm)],[3357, 3354])).
% 55.67/55.85 tff(3359,plain,
% 55.67/55.85 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(monotonicity,[status(thm)],[3358])).
% 55.67/55.85 tff(3360,plain,
% 55.67/55.85 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3359])).
% 55.67/55.85 tff(3361,plain,
% 55.67/55.85 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(monotonicity,[status(thm)],[2833])).
% 55.67/55.85 tff(3362,plain,
% 55.67/55.85 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3361])).
% 55.67/55.85 tff(3363,plain,
% 55.67/55.85 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.85 inference(quant_inst,[status(thm)],[])).
% 55.67/55.85 tff(3364,plain,
% 55.67/55.85 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(unit_resolution,[status(thm)],[3363, 7])).
% 55.67/55.85 tff(3365,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.85 inference(symmetry,[status(thm)],[3364])).
% 55.67/55.85 tff(3366,plain,
% 55.67/55.85 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[2873])).
% 55.67/55.86 tff(3367,plain,
% 55.67/55.86 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3366])).
% 55.67/55.86 tff(3368,plain,
% 55.67/55.86 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.86 inference(transitivity,[status(thm)],[3367, 3365, 3362, 3360, 3349, 3347])).
% 55.67/55.86 tff(3369,plain,
% 55.67/55.86 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3368])).
% 55.67/55.86 tff(3370,plain,
% 55.67/55.86 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3296])).
% 55.67/55.86 tff(3371,plain,
% 55.67/55.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.86 inference(quant_inst,[status(thm)],[])).
% 55.67/55.86 tff(3372,plain,
% 55.67/55.86 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.86 inference(unit_resolution,[status(thm)],[3371, 7])).
% 55.67/55.86 tff(3373,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3372])).
% 55.67/55.86 tff(3374,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.86 inference(transitivity,[status(thm)],[3373, 3370])).
% 55.67/55.86 tff(3375,plain,
% 55.67/55.86 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3374])).
% 55.67/55.86 tff(3376,plain,
% 55.67/55.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.86 inference(quant_inst,[status(thm)],[])).
% 55.67/55.86 tff(3377,plain,
% 55.67/55.86 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.86 inference(unit_resolution,[status(thm)],[3376, 7])).
% 55.67/55.86 tff(3378,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3377])).
% 55.67/55.86 tff(3379,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.86 inference(transitivity,[status(thm)],[3378, 3375])).
% 55.67/55.86 tff(3380,plain,
% 55.67/55.86 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3379])).
% 55.67/55.86 tff(3381,plain,
% 55.67/55.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.86 inference(quant_inst,[status(thm)],[])).
% 55.67/55.86 tff(3382,plain,
% 55.67/55.86 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.86 inference(unit_resolution,[status(thm)],[3381, 7])).
% 55.67/55.86 tff(3383,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3382])).
% 55.67/55.86 tff(3384,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.86 inference(transitivity,[status(thm)],[3383, 3380, 2831])).
% 55.67/55.86 tff(3385,plain,
% 55.67/55.86 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3384])).
% 55.67/55.86 tff(3386,plain,
% 55.67/55.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.86 inference(quant_inst,[status(thm)],[])).
% 55.67/55.86 tff(3387,plain,
% 55.67/55.86 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.86 inference(unit_resolution,[status(thm)],[3386, 7])).
% 55.67/55.86 tff(3388,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3387])).
% 55.67/55.86 tff(3389,plain,
% 55.67/55.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.67/55.86 inference(quant_inst,[status(thm)],[])).
% 55.67/55.86 tff(3390,plain,
% 55.67/55.86 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.67/55.86 inference(unit_resolution,[status(thm)],[3389, 7])).
% 55.67/55.86 tff(3391,plain,
% 55.67/55.86 (sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3390])).
% 55.67/55.86 tff(3392,plain,
% 55.67/55.86 (sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 55.67/55.86 inference(transitivity,[status(thm)],[3391, 423, 54])).
% 55.67/55.86 tff(3393,plain,
% 55.67/55.86 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3392])).
% 55.67/55.86 tff(3394,plain,
% 55.67/55.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.67/55.86 inference(quant_inst,[status(thm)],[])).
% 55.67/55.86 tff(3395,plain,
% 55.67/55.86 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.67/55.86 inference(unit_resolution,[status(thm)],[3394, 7])).
% 55.67/55.86 tff(3396,plain,
% 55.67/55.86 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3395])).
% 55.67/55.86 tff(3397,plain,
% 55.67/55.86 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.86 inference(transitivity,[status(thm)],[3396, 3393])).
% 55.67/55.86 tff(3398,plain,
% 55.67/55.86 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3397])).
% 55.67/55.86 tff(3399,plain,
% 55.67/55.86 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3398])).
% 55.67/55.86 tff(3400,plain,
% 55.67/55.86 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3399])).
% 55.67/55.86 tff(3401,plain,
% 55.67/55.86 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3400])).
% 55.67/55.86 tff(3402,plain,
% 55.67/55.86 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.86 inference(symmetry,[status(thm)],[3401])).
% 55.67/55.86 tff(3403,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3402])).
% 55.67/55.86 tff(3404,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.86 inference(transitivity,[status(thm)],[3403, 3388, 3385])).
% 55.67/55.86 tff(3405,plain,
% 55.67/55.86 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.86 inference(monotonicity,[status(thm)],[3404])).
% 55.67/55.86 tff(3406,plain,
% 55.67/55.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.86 inference(quant_inst,[status(thm)],[])).
% 55.67/55.86 tff(3407,plain,
% 55.67/55.86 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.86 inference(unit_resolution,[status(thm)],[3406, 7])).
% 55.67/55.86 tff(3408,plain,
% 55.67/55.86 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3407])).
% 55.67/55.87 tff(3409,plain,
% 55.67/55.87 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.87 inference(transitivity,[status(thm)],[3408, 3405, 3361, 3364, 3366])).
% 55.67/55.87 tff(3410,plain,
% 55.67/55.87 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3409])).
% 55.67/55.87 tff(3411,plain,
% 55.67/55.87 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))),
% 55.67/55.87 inference(quant_inst,[status(thm)],[])).
% 55.67/55.87 tff(3412,plain,
% 55.67/55.87 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.87 inference(unit_resolution,[status(thm)],[3411, 7])).
% 55.67/55.87 tff(3413,plain,
% 55.67/55.87 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3412])).
% 55.67/55.87 tff(3414,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3402])).
% 55.67/55.87 tff(3415,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3414])).
% 55.67/55.87 tff(3416,plain,
% 55.67/55.87 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.87 inference(quant_inst,[status(thm)],[])).
% 55.67/55.87 tff(3417,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(unit_resolution,[status(thm)],[3416, 7])).
% 55.67/55.87 tff(3418,plain,
% 55.67/55.87 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3417])).
% 55.67/55.87 tff(3419,plain,
% 55.67/55.87 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(quant_inst,[status(thm)],[])).
% 55.67/55.87 tff(3420,plain,
% 55.67/55.87 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.87 inference(unit_resolution,[status(thm)],[3419, 7])).
% 55.67/55.87 tff(3421,plain,
% 55.67/55.87 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3420])).
% 55.67/55.87 tff(3422,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3421])).
% 55.67/55.87 tff(3423,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3422])).
% 55.67/55.87 tff(3424,plain,
% 55.67/55.87 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3423])).
% 55.67/55.87 tff(3425,plain,
% 55.67/55.87 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3424])).
% 55.67/55.87 tff(3426,plain,
% 55.67/55.87 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(quant_inst,[status(thm)],[])).
% 55.67/55.87 tff(3427,plain,
% 55.67/55.87 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(unit_resolution,[status(thm)],[3426, 7])).
% 55.67/55.87 tff(3428,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3427])).
% 55.67/55.87 tff(3429,plain,
% 55.67/55.87 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3421])).
% 55.67/55.87 tff(3430,plain,
% 55.67/55.87 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3429])).
% 55.67/55.87 tff(3431,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3430])).
% 55.67/55.87 tff(3432,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(transitivity,[status(thm)],[3431, 3428, 3425])).
% 55.67/55.87 tff(3433,plain,
% 55.67/55.87 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3432])).
% 55.67/55.87 tff(3434,plain,
% 55.67/55.87 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3433])).
% 55.67/55.87 tff(3435,plain,
% 55.67/55.87 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(transitivity,[status(thm)],[3434, 3418, 3415])).
% 55.67/55.87 tff(3436,plain,
% 55.67/55.87 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3435])).
% 55.67/55.87 tff(3437,plain,
% 55.67/55.87 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(quant_inst,[status(thm)],[])).
% 55.67/55.87 tff(3438,plain,
% 55.67/55.87 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(unit_resolution,[status(thm)],[3437, 7])).
% 55.67/55.87 tff(3439,plain,
% 55.67/55.87 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3438])).
% 55.67/55.87 tff(3440,plain,
% 55.67/55.87 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.87 inference(transitivity,[status(thm)],[3439, 3429, 3400])).
% 55.67/55.87 tff(3441,plain,
% 55.67/55.87 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3440])).
% 55.67/55.87 tff(3442,plain,
% 55.67/55.87 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(quant_inst,[status(thm)],[])).
% 55.67/55.87 tff(3443,plain,
% 55.67/55.87 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(unit_resolution,[status(thm)],[3442, 7])).
% 55.67/55.87 tff(3444,plain,
% 55.67/55.87 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(symmetry,[status(thm)],[3443])).
% 55.67/55.87 tff(3445,plain,
% 55.67/55.87 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.87 inference(transitivity,[status(thm)],[3444, 3441])).
% 55.67/55.87 tff(3446,plain,
% 55.67/55.87 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.87 inference(monotonicity,[status(thm)],[3445])).
% 55.67/55.88 tff(3447,plain,
% 55.67/55.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.88 inference(quant_inst,[status(thm)],[])).
% 55.67/55.88 tff(3448,plain,
% 55.67/55.88 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.88 inference(unit_resolution,[status(thm)],[3447, 7])).
% 55.67/55.88 tff(3449,plain,
% 55.67/55.88 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3448])).
% 55.67/55.88 tff(3450,plain,
% 55.67/55.88 (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[717])).
% 55.67/55.88 tff(3451,plain,
% 55.67/55.88 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3450])).
% 55.67/55.88 tff(3452,plain,
% 55.67/55.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.67/55.88 inference(quant_inst,[status(thm)],[])).
% 55.67/55.88 tff(3453,plain,
% 55.67/55.88 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.67/55.88 inference(unit_resolution,[status(thm)],[3452, 7])).
% 55.67/55.88 tff(3454,plain,
% 55.67/55.88 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3453])).
% 55.67/55.88 tff(3455,plain,
% 55.67/55.88 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.88 inference(transitivity,[status(thm)],[3454, 3451])).
% 55.67/55.88 tff(3456,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3455])).
% 55.67/55.88 tff(3457,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3456])).
% 55.67/55.88 tff(3458,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3457])).
% 55.67/55.88 tff(3459,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3458])).
% 55.67/55.88 tff(3460,plain,
% 55.67/55.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.88 inference(quant_inst,[status(thm)],[])).
% 55.67/55.88 tff(3461,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(unit_resolution,[status(thm)],[3460, 7])).
% 55.67/55.88 tff(3462,plain,
% 55.67/55.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(quant_inst,[status(thm)],[])).
% 55.67/55.88 tff(3463,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.88 inference(unit_resolution,[status(thm)],[3462, 7])).
% 55.67/55.88 tff(3464,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3455])).
% 55.67/55.88 tff(3465,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.88 inference(transitivity,[status(thm)],[3464, 3463])).
% 55.67/55.88 tff(3466,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3465])).
% 55.67/55.88 tff(3467,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3466])).
% 55.67/55.88 tff(3468,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(transitivity,[status(thm)],[3467, 3461, 3459])).
% 55.67/55.88 tff(3469,plain,
% 55.67/55.88 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3468])).
% 55.67/55.88 tff(3470,plain,
% 55.67/55.88 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3469])).
% 55.67/55.88 tff(3471,plain,
% 55.67/55.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.88 inference(quant_inst,[status(thm)],[])).
% 55.67/55.88 tff(3472,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.88 inference(unit_resolution,[status(thm)],[3471, 7])).
% 55.67/55.88 tff(3473,plain,
% 55.67/55.88 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3455])).
% 55.67/55.88 tff(3474,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3473])).
% 55.67/55.88 tff(3475,plain,
% 55.67/55.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.88 inference(quant_inst,[status(thm)],[])).
% 55.67/55.88 tff(3476,plain,
% 55.67/55.88 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(unit_resolution,[status(thm)],[3475, 7])).
% 55.67/55.88 tff(3477,plain,
% 55.67/55.88 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3476])).
% 55.67/55.88 tff(3478,plain,
% 55.67/55.88 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3457])).
% 55.67/55.88 tff(3479,plain,
% 55.67/55.88 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(transitivity,[status(thm)],[3478, 3477, 3474])).
% 55.67/55.88 tff(3480,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.88 inference(monotonicity,[status(thm)],[3479])).
% 55.67/55.88 tff(3481,plain,
% 55.67/55.88 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.88 inference(symmetry,[status(thm)],[3480])).
% 55.67/55.88 tff(3482,plain,
% 55.67/55.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.88 inference(quant_inst,[status(thm)],[])).
% 55.67/55.88 tff(3483,plain,
% 55.67/55.89 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.89 inference(unit_resolution,[status(thm)],[3482, 7])).
% 55.67/55.89 tff(3484,plain,
% 55.67/55.89 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3483])).
% 55.67/55.89 tff(3485,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3484])).
% 55.67/55.89 tff(3486,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3485])).
% 55.67/55.89 tff(3487,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3486])).
% 55.67/55.89 tff(3488,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3487])).
% 55.67/55.89 tff(3489,plain,
% 55.67/55.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.89 inference(quant_inst,[status(thm)],[])).
% 55.67/55.89 tff(3490,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(unit_resolution,[status(thm)],[3489, 7])).
% 55.67/55.89 tff(3491,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3490])).
% 55.67/55.89 tff(3492,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3484])).
% 55.67/55.89 tff(3493,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3492])).
% 55.67/55.89 tff(3494,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3493])).
% 55.67/55.89 tff(3495,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(transitivity,[status(thm)],[3494, 3491, 3488, 3481, 3472, 3470])).
% 55.67/55.89 tff(3496,plain,
% 55.67/55.89 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3495])).
% 55.67/55.89 tff(3497,plain,
% 55.67/55.89 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.89 inference(transitivity,[status(thm)],[3496, 3449, 3446, 3414, 3417, 3433])).
% 55.67/55.89 tff(3498,plain,
% 55.67/55.89 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3497])).
% 55.67/55.89 tff(3499,plain,
% 55.67/55.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.89 inference(quant_inst,[status(thm)],[])).
% 55.67/55.89 tff(3500,plain,
% 55.67/55.89 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.89 inference(unit_resolution,[status(thm)],[3499, 7])).
% 55.67/55.89 tff(3501,plain,
% 55.67/55.89 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3500])).
% 55.67/55.89 tff(3502,plain,
% 55.67/55.89 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3291])).
% 55.67/55.89 tff(3503,plain,
% 55.67/55.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.89 inference(quant_inst,[status(thm)],[])).
% 55.67/55.89 tff(3504,plain,
% 55.67/55.89 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.89 inference(unit_resolution,[status(thm)],[3503, 7])).
% 55.67/55.89 tff(3505,plain,
% 55.67/55.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.89 inference(quant_inst,[status(thm)],[])).
% 55.67/55.89 tff(3506,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.89 inference(unit_resolution,[status(thm)],[3505, 7])).
% 55.67/55.89 tff(3507,plain,
% 55.67/55.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.89 inference(quant_inst,[status(thm)],[])).
% 55.67/55.89 tff(3508,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(unit_resolution,[status(thm)],[3507, 7])).
% 55.67/55.89 tff(3509,plain,
% 55.67/55.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(quant_inst,[status(thm)],[])).
% 55.67/55.89 tff(3510,plain,
% 55.67/55.89 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.89 inference(unit_resolution,[status(thm)],[3509, 7])).
% 55.67/55.89 tff(3511,plain,
% 55.67/55.89 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3510])).
% 55.67/55.89 tff(3512,plain,
% 55.67/55.89 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.89 inference(transitivity,[status(thm)],[3511, 325])).
% 55.67/55.89 tff(3513,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3512])).
% 55.67/55.89 tff(3514,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(symmetry,[status(thm)],[3513])).
% 55.67/55.89 tff(3515,plain,
% 55.67/55.89 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.89 inference(transitivity,[status(thm)],[3514, 3508])).
% 55.67/55.89 tff(3516,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.89 inference(monotonicity,[status(thm)],[3515])).
% 55.67/55.89 tff(3517,plain,
% 55.67/55.89 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.89 inference(transitivity,[status(thm)],[3516, 3506])).
% 55.67/55.89 tff(3518,plain,
% 55.67/55.89 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3517])).
% 55.67/55.90 tff(3519,plain,
% 55.67/55.90 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.90 inference(symmetry,[status(thm)],[400])).
% 55.67/55.90 tff(3520,plain,
% 55.67/55.90 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.90 inference(transitivity,[status(thm)],[397, 3519, 401, 2997, 406, 412])).
% 55.67/55.90 tff(3521,plain,
% 55.67/55.90 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3520])).
% 55.67/55.90 tff(3522,plain,
% 55.67/55.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.67/55.90 inference(quant_inst,[status(thm)],[])).
% 55.67/55.90 tff(3523,plain,
% 55.67/55.90 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.90 inference(unit_resolution,[status(thm)],[3522, 7])).
% 55.67/55.90 tff(3524,plain,
% 55.67/55.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.90 inference(quant_inst,[status(thm)],[])).
% 55.67/55.90 tff(3525,plain,
% 55.67/55.90 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.90 inference(unit_resolution,[status(thm)],[3524, 7])).
% 55.67/55.90 tff(3526,plain,
% 55.67/55.90 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.90 inference(symmetry,[status(thm)],[376])).
% 55.67/55.90 tff(3527,plain,
% 55.67/55.90 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.90 inference(symmetry,[status(thm)],[375])).
% 55.67/55.90 tff(3528,plain,
% 55.67/55.90 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.90 inference(transitivity,[status(thm)],[3527, 3526])).
% 55.67/55.90 tff(3529,plain,
% 55.67/55.90 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3528])).
% 55.67/55.90 tff(3530,plain,
% 55.67/55.90 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3529])).
% 55.67/55.90 tff(3531,plain,
% 55.67/55.90 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.90 inference(symmetry,[status(thm)],[3530])).
% 55.67/55.90 tff(3532,plain,
% 55.67/55.90 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.90 inference(transitivity,[status(thm)],[3531, 3525])).
% 55.67/55.90 tff(3533,plain,
% 55.67/55.90 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3532])).
% 55.67/55.90 tff(3534,plain,
% 55.67/55.90 (sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 55.67/55.90 inference(transitivity,[status(thm)],[3391, 423])).
% 55.67/55.90 tff(3535,plain,
% 55.67/55.90 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3534])).
% 55.67/55.90 tff(3536,plain,
% 55.67/55.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.67/55.90 inference(quant_inst,[status(thm)],[])).
% 55.67/55.90 tff(3537,plain,
% 55.67/55.90 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.67/55.90 inference(unit_resolution,[status(thm)],[3536, 7])).
% 55.67/55.90 tff(3538,plain,
% 55.67/55.90 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 55.67/55.90 inference(symmetry,[status(thm)],[3537])).
% 55.67/55.90 tff(3539,plain,
% 55.67/55.90 (sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 55.67/55.90 inference(transitivity,[status(thm)],[3538, 3535, 967, 58])).
% 55.67/55.90 tff(3540,plain,
% 55.67/55.90 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3539])).
% 55.67/55.90 tff(3541,plain,
% 55.67/55.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.90 inference(quant_inst,[status(thm)],[])).
% 55.67/55.90 tff(3542,plain,
% 55.67/55.90 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.67/55.90 inference(unit_resolution,[status(thm)],[3541, 7])).
% 55.67/55.90 tff(3543,plain,
% 55.67/55.90 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 55.67/55.90 inference(symmetry,[status(thm)],[3542])).
% 55.67/55.90 tff(3544,plain,
% 55.67/55.90 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 55.67/55.90 inference(transitivity,[status(thm)],[3543, 3540])).
% 55.67/55.90 tff(3545,plain,
% 55.67/55.90 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3544])).
% 55.67/55.90 tff(3546,plain,
% 55.67/55.90 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.67/55.90 inference(transitivity,[status(thm)],[3545, 3527, 3526])).
% 55.67/55.90 tff(3547,plain,
% 55.67/55.90 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.90 inference(monotonicity,[status(thm)],[3546])).
% 55.67/55.90 tff(3548,plain,
% 55.67/55.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.67/55.90 inference(quant_inst,[status(thm)],[])).
% 55.67/55.90 tff(3549,plain,
% 55.67/55.90 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.67/55.90 inference(unit_resolution,[status(thm)],[3548, 7])).
% 55.67/55.90 tff(3550,plain,
% 55.67/55.90 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.90 inference(symmetry,[status(thm)],[3549])).
% 55.74/55.90 tff(3551,plain,
% 55.74/55.90 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.90 inference(transitivity,[status(thm)],[3550, 3547])).
% 55.74/55.90 tff(3552,plain,
% 55.74/55.90 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.90 inference(monotonicity,[status(thm)],[3551])).
% 55.74/55.90 tff(3553,plain,
% 55.74/55.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.90 inference(quant_inst,[status(thm)],[])).
% 55.74/55.90 tff(3554,plain,
% 55.74/55.90 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.90 inference(unit_resolution,[status(thm)],[3553, 7])).
% 55.74/55.90 tff(3555,plain,
% 55.74/55.90 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.90 inference(symmetry,[status(thm)],[3554])).
% 55.74/55.90 tff(3556,plain,
% 55.74/55.90 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.90 inference(transitivity,[status(thm)],[3555, 3552])).
% 55.74/55.90 tff(3557,plain,
% 55.74/55.90 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.90 inference(monotonicity,[status(thm)],[3556])).
% 55.74/55.90 tff(3558,plain,
% 55.74/55.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.74/55.90 inference(quant_inst,[status(thm)],[])).
% 55.74/55.91 tff(3559,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.91 inference(unit_resolution,[status(thm)],[3558, 7])).
% 55.74/55.91 tff(3560,plain,
% 55.74/55.91 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3559])).
% 55.74/55.91 tff(3561,plain,
% 55.74/55.91 (sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.74/55.91 inference(monotonicity,[status(thm)],[3544])).
% 55.74/55.91 tff(3562,plain,
% 55.74/55.91 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3561])).
% 55.74/55.91 tff(3563,plain,
% 55.74/55.91 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(monotonicity,[status(thm)],[3562])).
% 55.74/55.91 tff(3564,plain,
% 55.74/55.91 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3563])).
% 55.74/55.91 tff(3565,plain,
% 55.74/55.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(quant_inst,[status(thm)],[])).
% 55.74/55.91 tff(3566,plain,
% 55.74/55.91 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(unit_resolution,[status(thm)],[3565, 7])).
% 55.74/55.91 tff(3567,plain,
% 55.74/55.91 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3566])).
% 55.74/55.91 tff(3568,plain,
% 55.74/55.91 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(transitivity,[status(thm)],[3567, 3564])).
% 55.74/55.91 tff(3569,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(monotonicity,[status(thm)],[3568])).
% 55.74/55.91 tff(3570,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3569])).
% 55.74/55.91 tff(3571,plain,
% 55.74/55.91 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.91 inference(monotonicity,[status(thm)],[3570])).
% 55.74/55.91 tff(3572,plain,
% 55.74/55.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(quant_inst,[status(thm)],[])).
% 55.74/55.91 tff(3573,plain,
% 55.74/55.91 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.74/55.91 inference(unit_resolution,[status(thm)],[3572, 7])).
% 55.74/55.91 tff(3574,plain,
% 55.74/55.91 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3573])).
% 55.74/55.91 tff(3575,plain,
% 55.74/55.91 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(monotonicity,[status(thm)],[3574])).
% 55.74/55.91 tff(3576,plain,
% 55.74/55.91 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3575])).
% 55.74/55.91 tff(3577,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(monotonicity,[status(thm)],[3576])).
% 55.74/55.91 tff(3578,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3577])).
% 55.74/55.91 tff(3579,plain,
% 55.74/55.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.91 inference(quant_inst,[status(thm)],[])).
% 55.74/55.91 tff(3580,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(unit_resolution,[status(thm)],[3579, 7])).
% 55.74/55.91 tff(3581,plain,
% 55.74/55.91 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[3580])).
% 55.74/55.91 tff(3582,plain,
% 55.74/55.91 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.91 inference(transitivity,[status(thm)],[3581, 3578])).
% 55.74/55.91 tff(3583,plain,
% 55.74/55.91 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.91 inference(monotonicity,[status(thm)],[3582])).
% 55.74/55.91 tff(3584,plain,
% 55.74/55.91 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.91 inference(transitivity,[status(thm)],[3583, 3571, 3560, 3557, 3533, 3523, 3521, 3518, 3504, 3502, 3501, 3498, 3436])).
% 55.74/55.91 tff(3585,plain,
% 55.74/55.91 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[294])).
% 55.74/55.91 tff(3586,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.91 inference(symmetry,[status(thm)],[284])).
% 55.74/55.91 tff(3587,plain,
% 55.74/55.91 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[3586, 286, 3585])).
% 55.74/55.92 tff(3588,plain,
% 55.74/55.92 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3587])).
% 55.74/55.92 tff(3589,plain,
% 55.74/55.92 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3588])).
% 55.74/55.92 tff(3590,plain,
% 55.74/55.92 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[299])).
% 55.74/55.92 tff(3591,plain,
% 55.74/55.92 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3590])).
% 55.74/55.92 tff(3592,plain,
% 55.74/55.92 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[300, 303])).
% 55.74/55.92 tff(3593,plain,
% 55.74/55.92 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3592])).
% 55.74/55.92 tff(3594,plain,
% 55.74/55.92 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3593])).
% 55.74/55.92 tff(3595,plain,
% 55.74/55.92 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[311])).
% 55.74/55.92 tff(3596,plain,
% 55.74/55.92 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[3595, 2991])).
% 55.74/55.92 tff(3597,plain,
% 55.74/55.92 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3596])).
% 55.74/55.92 tff(3598,plain,
% 55.74/55.92 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3597])).
% 55.74/55.92 tff(3599,plain,
% 55.74/55.92 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[333])).
% 55.74/55.92 tff(3600,plain,
% 55.74/55.92 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[326])).
% 55.74/55.92 tff(3601,plain,
% 55.74/55.92 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[3600, 328, 3599])).
% 55.74/55.92 tff(3602,plain,
% 55.74/55.92 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3601])).
% 55.74/55.92 tff(3603,plain,
% 55.74/55.92 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3602])).
% 55.74/55.92 tff(3604,plain,
% 55.74/55.92 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[342])).
% 55.74/55.92 tff(3605,plain,
% 55.74/55.92 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[339, 3604, 344])).
% 55.74/55.92 tff(3606,plain,
% 55.74/55.92 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3605])).
% 55.74/55.92 tff(3607,plain,
% 55.74/55.92 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3606])).
% 55.74/55.92 tff(3608,plain,
% 55.74/55.92 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[3607, 338, 3603, 3598, 309, 3594, 3591, 298, 3589])).
% 55.74/55.92 tff(3609,plain,
% 55.74/55.92 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3608])).
% 55.74/55.92 tff(3610,plain,
% 55.74/55.92 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[3000, 389, 387, 367, 352, 3609, 274])).
% 55.74/55.92 tff(3611,plain,
% 55.74/55.92 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3610])).
% 55.74/55.92 tff(3612,plain,
% 55.74/55.92 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[456, 453, 419, 3611])).
% 55.74/55.92 tff(3613,plain,
% 55.74/55.92 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3612])).
% 55.74/55.92 tff(3614,plain,
% 55.74/55.92 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.74/55.92 inference(transitivity,[status(thm)],[3613, 272, 269])).
% 55.74/55.92 tff(3615,plain,
% 55.74/55.92 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3614])).
% 55.74/55.92 tff(3616,plain,
% 55.74/55.92 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3615])).
% 55.74/55.92 tff(3617,plain,
% 55.74/55.92 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 55.74/55.92 inference(modus_ponens,[status(thm)],[464, 3616])).
% 55.74/55.92 tff(3618,plain,
% 55.74/55.92 (x9 = x1),
% 55.74/55.92 inference(unit_resolution,[status(thm)],[485, 3617])).
% 55.74/55.92 tff(3619,plain,
% 55.74/55.92 (x1 = x9),
% 55.74/55.92 inference(symmetry,[status(thm)],[3618])).
% 55.74/55.92 tff(3620,assumption,(~(x12 = x8)), introduced(assumption)).
% 55.74/55.92 tff(3621,plain,
% 55.74/55.92 (lseg(x1, x14) = lseg(x9, x14)),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3619])).
% 55.74/55.92 tff(3622,plain,
% 55.74/55.92 (sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.92 inference(monotonicity,[status(thm)],[3621])).
% 55.74/55.92 tff(3623,plain,
% 55.74/55.92 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.92 inference(symmetry,[status(thm)],[3622])).
% 55.74/55.92 tff(3624,plain,
% 55.74/55.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.74/55.92 inference(quant_inst,[status(thm)],[])).
% 55.74/55.92 tff(3625,plain,
% 55.74/55.92 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.92 inference(unit_resolution,[status(thm)],[3624, 7])).
% 55.74/55.92 tff(3626,plain,
% 55.74/55.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x13), emp)) = sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))),
% 55.74/55.92 inference(quant_inst,[status(thm)],[])).
% 55.74/55.92 tff(3627,plain,
% 55.74/55.92 (sep(lseg(x9, x1), sep(lseg(x11, x13), emp)) = sep(lseg(x11, x13), sep(lseg(x9, x1), emp))),
% 55.74/55.92 inference(unit_resolution,[status(thm)],[3626, 7])).
% 55.74/55.92 tff(3628,plain,
% 55.74/55.92 (sep(lseg(x11, x13), sep(lseg(x9, x1), emp)) = sep(lseg(x9, x1), sep(lseg(x11, x13), emp))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3627])).
% 55.74/55.93 tff(3629,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3628])).
% 55.74/55.93 tff(3630,plain,
% 55.74/55.93 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3629])).
% 55.74/55.93 tff(3631,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3632,plain,
% 55.74/55.93 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3631, 7])).
% 55.74/55.93 tff(3633,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3632])).
% 55.74/55.93 tff(3634,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.74/55.93 inference(transitivity,[status(thm)],[3633, 3630])).
% 55.74/55.93 tff(3635,plain,
% 55.74/55.93 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3634])).
% 55.74/55.93 tff(3636,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3637,plain,
% 55.74/55.93 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3636, 7])).
% 55.74/55.93 tff(3638,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3637])).
% 55.74/55.93 tff(3639,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.93 inference(transitivity,[status(thm)],[3638, 3635])).
% 55.74/55.93 tff(3640,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3639])).
% 55.74/55.93 tff(3641,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3642,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3641, 7])).
% 55.74/55.93 tff(3643,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3642])).
% 55.74/55.93 tff(3644,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.93 inference(transitivity,[status(thm)],[3643, 3640])).
% 55.74/55.93 tff(3645,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3644])).
% 55.74/55.93 tff(3646,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3647,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3646, 7])).
% 55.74/55.93 tff(3648,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3647])).
% 55.74/55.93 tff(3649,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.93 inference(transitivity,[status(thm)],[3648, 3645])).
% 55.74/55.93 tff(3650,plain,
% 55.74/55.93 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3649])).
% 55.74/55.93 tff(3651,plain,
% 55.74/55.93 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3650])).
% 55.74/55.93 tff(3652,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3653,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3652, 7])).
% 55.74/55.93 tff(3654,plain,
% 55.74/55.93 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3653])).
% 55.74/55.93 tff(3655,plain,
% 55.74/55.93 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3654])).
% 55.74/55.93 tff(3656,plain,
% 55.74/55.93 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3655])).
% 55.74/55.93 tff(3657,plain,
% 55.74/55.93 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.74/55.93 inference(transitivity,[status(thm)],[3633, 3630, 3656])).
% 55.74/55.93 tff(3658,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3657])).
% 55.74/55.93 tff(3659,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3658])).
% 55.74/55.93 tff(3660,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3659])).
% 55.74/55.93 tff(3661,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3660])).
% 55.74/55.93 tff(3662,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3663,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3662, 7])).
% 55.74/55.93 tff(3664,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3665,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3664, 7])).
% 55.74/55.93 tff(3666,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3656])).
% 55.74/55.93 tff(3667,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3634])).
% 55.74/55.93 tff(3668,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.93 inference(transitivity,[status(thm)],[3667, 3666, 3665])).
% 55.74/55.93 tff(3669,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3668])).
% 55.74/55.93 tff(3670,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3669])).
% 55.74/55.93 tff(3671,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.93 inference(transitivity,[status(thm)],[3670, 3663, 3661])).
% 55.74/55.93 tff(3672,plain,
% 55.74/55.93 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3671])).
% 55.74/55.93 tff(3673,plain,
% 55.74/55.93 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3672])).
% 55.74/55.93 tff(3674,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3675,plain,
% 55.74/55.93 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3674, 7])).
% 55.74/55.93 tff(3676,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.93 inference(monotonicity,[status(thm)],[3635])).
% 55.74/55.93 tff(3677,plain,
% 55.74/55.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.74/55.93 inference(quant_inst,[status(thm)],[])).
% 55.74/55.93 tff(3678,plain,
% 55.74/55.93 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(unit_resolution,[status(thm)],[3677, 7])).
% 55.74/55.93 tff(3679,plain,
% 55.74/55.93 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.93 inference(symmetry,[status(thm)],[3678])).
% 55.74/55.93 tff(3680,plain,
% 55.74/55.93 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3659])).
% 55.74/55.94 tff(3681,plain,
% 55.74/55.94 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.94 inference(transitivity,[status(thm)],[3680, 3679, 3676])).
% 55.74/55.94 tff(3682,plain,
% 55.74/55.94 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3681])).
% 55.74/55.94 tff(3683,plain,
% 55.74/55.94 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3682])).
% 55.74/55.94 tff(3684,plain,
% 55.74/55.94 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3656])).
% 55.74/55.94 tff(3685,plain,
% 55.74/55.94 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3684])).
% 55.74/55.94 tff(3686,plain,
% 55.74/55.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.94 inference(quant_inst,[status(thm)],[])).
% 55.74/55.94 tff(3687,plain,
% 55.74/55.94 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(unit_resolution,[status(thm)],[3686, 7])).
% 55.74/55.94 tff(3688,plain,
% 55.74/55.94 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3687])).
% 55.74/55.94 tff(3689,plain,
% 55.74/55.94 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(transitivity,[status(thm)],[3688, 3685])).
% 55.74/55.94 tff(3690,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3689])).
% 55.74/55.94 tff(3691,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3690])).
% 55.74/55.94 tff(3692,plain,
% 55.74/55.94 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3691])).
% 55.74/55.94 tff(3693,plain,
% 55.74/55.94 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3692])).
% 55.74/55.94 tff(3694,plain,
% 55.74/55.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.94 inference(quant_inst,[status(thm)],[])).
% 55.74/55.94 tff(3695,plain,
% 55.74/55.94 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(unit_resolution,[status(thm)],[3694, 7])).
% 55.74/55.94 tff(3696,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3695])).
% 55.74/55.94 tff(3697,plain,
% 55.74/55.94 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3689])).
% 55.74/55.94 tff(3698,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3697])).
% 55.74/55.94 tff(3699,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3698])).
% 55.74/55.94 tff(3700,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(transitivity,[status(thm)],[3699, 3696, 3693, 3683, 3675, 3673])).
% 55.74/55.94 tff(3701,plain,
% 55.74/55.94 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3700])).
% 55.74/55.94 tff(3702,plain,
% 55.74/55.94 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3701])).
% 55.74/55.94 tff(3703,plain,
% 55.74/55.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 55.74/55.94 inference(quant_inst,[status(thm)],[])).
% 55.74/55.94 tff(3704,plain,
% 55.74/55.94 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.94 inference(unit_resolution,[status(thm)],[3703, 7])).
% 55.74/55.94 tff(3705,plain,
% 55.74/55.94 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3666])).
% 55.74/55.94 tff(3706,plain,
% 55.74/55.94 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3665])).
% 55.74/55.94 tff(3707,plain,
% 55.74/55.94 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.94 inference(transitivity,[status(thm)],[3706, 3705])).
% 55.74/55.94 tff(3708,plain,
% 55.74/55.94 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3707])).
% 55.74/55.94 tff(3709,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3708])).
% 55.74/55.94 tff(3710,plain,
% 55.74/55.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.94 inference(quant_inst,[status(thm)],[])).
% 55.74/55.94 tff(3711,plain,
% 55.74/55.94 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(unit_resolution,[status(thm)],[3710, 7])).
% 55.74/55.94 tff(3712,plain,
% 55.74/55.94 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(symmetry,[status(thm)],[3711])).
% 55.74/55.94 tff(3713,plain,
% 55.74/55.94 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.94 inference(transitivity,[status(thm)],[3712, 3709])).
% 55.74/55.94 tff(3714,plain,
% 55.74/55.94 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.94 inference(monotonicity,[status(thm)],[3713])).
% 55.74/55.94 tff(3715,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3714])).
% 55.74/55.95 tff(3716,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3717,plain,
% 55.74/55.95 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3716, 7])).
% 55.74/55.95 tff(3718,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x13), emp)) = sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3719,plain,
% 55.74/55.95 (sep(lseg(x9, x14), sep(lseg(x11, x13), emp)) = sep(lseg(x11, x13), sep(lseg(x9, x14), emp))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3718, 7])).
% 55.74/55.95 tff(3720,plain,
% 55.74/55.95 (sep(lseg(x11, x13), sep(lseg(x9, x14), emp)) = sep(lseg(x9, x14), sep(lseg(x11, x13), emp))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3719])).
% 55.74/55.95 tff(3721,plain,
% 55.74/55.95 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3720])).
% 55.74/55.95 tff(3722,plain,
% 55.74/55.95 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3721])).
% 55.74/55.95 tff(3723,plain,
% 55.74/55.95 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3722])).
% 55.74/55.95 tff(3724,plain,
% 55.74/55.95 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.74/55.95 inference(transitivity,[status(thm)],[3723, 3717])).
% 55.74/55.95 tff(3725,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3724])).
% 55.74/55.95 tff(3726,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3725])).
% 55.74/55.95 tff(3727,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.95 inference(transitivity,[status(thm)],[3726, 3706, 3705])).
% 55.74/55.95 tff(3728,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3727])).
% 55.74/55.95 tff(3729,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3730,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3729, 7])).
% 55.74/55.95 tff(3731,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3730])).
% 55.74/55.95 tff(3732,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.74/55.95 inference(transitivity,[status(thm)],[3731, 3728])).
% 55.74/55.95 tff(3733,plain,
% 55.74/55.95 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3732])).
% 55.74/55.95 tff(3734,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3735,plain,
% 55.74/55.95 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3734, 7])).
% 55.74/55.95 tff(3736,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3735])).
% 55.74/55.95 tff(3737,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(transitivity,[status(thm)],[3736, 3733])).
% 55.74/55.95 tff(3738,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3737])).
% 55.74/55.95 tff(3739,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3740,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3739, 7])).
% 55.74/55.95 tff(3741,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3740])).
% 55.74/55.95 tff(3742,plain,
% 55.74/55.95 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3724])).
% 55.74/55.95 tff(3743,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3742])).
% 55.74/55.95 tff(3744,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3743])).
% 55.74/55.95 tff(3745,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3746,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3745, 7])).
% 55.74/55.95 tff(3747,plain,
% 55.74/55.95 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3746])).
% 55.74/55.95 tff(3748,plain,
% 55.74/55.95 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.95 inference(transitivity,[status(thm)],[3747, 3744])).
% 55.74/55.95 tff(3749,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3748])).
% 55.74/55.95 tff(3750,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3749])).
% 55.74/55.95 tff(3751,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3750])).
% 55.74/55.95 tff(3752,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3753,plain,
% 55.74/55.95 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3752, 7])).
% 55.74/55.95 tff(3754,plain,
% 55.74/55.95 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3753])).
% 55.74/55.95 tff(3755,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3754])).
% 55.74/55.95 tff(3756,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3755])).
% 55.74/55.95 tff(3757,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3756])).
% 55.74/55.95 tff(3758,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3757])).
% 55.74/55.95 tff(3759,plain,
% 55.74/55.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.95 inference(quant_inst,[status(thm)],[])).
% 55.74/55.95 tff(3760,plain,
% 55.74/55.95 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(unit_resolution,[status(thm)],[3759, 7])).
% 55.74/55.95 tff(3761,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(symmetry,[status(thm)],[3760])).
% 55.74/55.95 tff(3762,plain,
% 55.74/55.95 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.95 inference(transitivity,[status(thm)],[3761, 3758])).
% 55.74/55.95 tff(3763,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.95 inference(monotonicity,[status(thm)],[3762])).
% 55.74/55.95 tff(3764,plain,
% 55.74/55.95 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.96 inference(transitivity,[status(thm)],[3763, 3751, 3741, 3738, 3715, 3704, 3702, 3651, 3625, 3623])).
% 55.74/55.96 tff(3765,plain,
% 55.74/55.96 (sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x1), sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3764])).
% 55.74/55.96 tff(3766,plain,
% 55.74/55.96 (heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))) <=> heap(sep(lseg(x12, x1), sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3765])).
% 55.74/55.96 tff(3767,plain,
% 55.74/55.96 (heap(sep(lseg(x12, x1), sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))) <=> heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3766])).
% 55.74/55.96 tff(3768,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 55.74/55.96 inference(quant_inst,[status(thm)],[])).
% 55.74/55.96 tff(3769,plain,
% 55.74/55.96 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.96 inference(unit_resolution,[status(thm)],[3768, 7])).
% 55.74/55.96 tff(3770,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.96 inference(quant_inst,[status(thm)],[])).
% 55.74/55.96 tff(3771,plain,
% 55.74/55.96 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.96 inference(unit_resolution,[status(thm)],[3770, 7])).
% 55.74/55.96 tff(3772,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.96 inference(quant_inst,[status(thm)],[])).
% 55.74/55.96 tff(3773,plain,
% 55.74/55.96 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.74/55.96 inference(unit_resolution,[status(thm)],[3772, 7])).
% 55.74/55.96 tff(3774,plain,
% 55.74/55.96 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))),
% 55.74/55.96 inference(transitivity,[status(thm)],[3653, 3722])).
% 55.74/55.96 tff(3775,plain,
% 55.74/55.96 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3774])).
% 55.74/55.96 tff(3776,plain,
% 55.74/55.96 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3775])).
% 55.74/55.96 tff(3777,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.74/55.96 inference(quant_inst,[status(thm)],[])).
% 55.74/55.96 tff(3778,plain,
% 55.74/55.96 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.74/55.96 inference(unit_resolution,[status(thm)],[3777, 7])).
% 55.74/55.96 tff(3779,plain,
% 55.74/55.96 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3778])).
% 55.74/55.96 tff(3780,plain,
% 55.74/55.96 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.74/55.96 inference(transitivity,[status(thm)],[3779, 3776])).
% 55.74/55.96 tff(3781,plain,
% 55.74/55.96 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3780])).
% 55.74/55.96 tff(3782,plain,
% 55.74/55.96 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3781])).
% 55.74/55.96 tff(3783,plain,
% 55.74/55.96 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.74/55.96 inference(transitivity,[status(thm)],[3782, 3773])).
% 55.74/55.96 tff(3784,plain,
% 55.74/55.96 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3783])).
% 55.74/55.96 tff(3785,plain,
% 55.74/55.96 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.74/55.96 inference(transitivity,[status(thm)],[3784, 3771])).
% 55.74/55.96 tff(3786,plain,
% 55.74/55.96 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3785])).
% 55.74/55.96 tff(3787,plain,
% 55.74/55.96 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3786])).
% 55.74/55.96 tff(3788,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.96 inference(quant_inst,[status(thm)],[])).
% 55.74/55.96 tff(3789,plain,
% 55.74/55.96 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.96 inference(unit_resolution,[status(thm)],[3788, 7])).
% 55.74/55.96 tff(3790,plain,
% 55.74/55.96 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3789])).
% 55.74/55.96 tff(3791,plain,
% 55.74/55.96 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.74/55.96 inference(transitivity,[status(thm)],[3790, 3787])).
% 55.74/55.96 tff(3792,plain,
% 55.74/55.96 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3791])).
% 55.74/55.96 tff(3793,plain,
% 55.74/55.96 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3792])).
% 55.74/55.96 tff(3794,plain,
% 55.74/55.96 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3704])).
% 55.74/55.96 tff(3795,plain,
% 55.74/55.96 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3625])).
% 55.74/55.96 tff(3796,plain,
% 55.74/55.96 (sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.74/55.96 inference(transitivity,[status(thm)],[3622, 3795, 3650, 3701, 3794, 3714, 3793, 3769])).
% 55.74/55.96 tff(3797,plain,
% 55.74/55.96 (x13 = x11),
% 55.74/55.96 inference(symmetry,[status(thm)],[3289])).
% 55.74/55.96 tff(3798,plain,
% 55.74/55.96 (x12 = x11),
% 55.74/55.96 inference(transitivity,[status(thm)],[3119, 3797])).
% 55.74/55.96 tff(3799,plain,
% 55.74/55.96 (lseg(x12, x1) = lseg(x11, x9)),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3798, 3619])).
% 55.74/55.96 tff(3800,plain,
% 55.74/55.96 (sep(lseg(x12, x1), sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3799, 3796])).
% 55.74/55.96 tff(3801,plain,
% 55.74/55.96 (heap(sep(lseg(x12, x1), sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3800])).
% 55.74/55.96 tff(3802,plain,
% 55.74/55.96 (heap(sep(lseg(x11, x9), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))) <=> heap(sep(lseg(x12, x1), sep(lseg(x1, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3801])).
% 55.74/55.96 tff(3803,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.74/55.96 inference(quant_inst,[status(thm)],[])).
% 55.74/55.96 tff(3804,plain,
% 55.74/55.96 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.74/55.96 inference(unit_resolution,[status(thm)],[3803, 7])).
% 55.74/55.96 tff(3805,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.74/55.96 inference(quant_inst,[status(thm)],[])).
% 55.74/55.96 tff(3806,plain,
% 55.74/55.96 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.74/55.96 inference(unit_resolution,[status(thm)],[3805, 7])).
% 55.74/55.96 tff(3807,plain,
% 55.74/55.96 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3806])).
% 55.74/55.96 tff(3808,plain,
% 55.74/55.96 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3807])).
% 55.74/55.96 tff(3809,plain,
% 55.74/55.96 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3808])).
% 55.74/55.96 tff(3810,plain,
% 55.74/55.96 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.96 inference(monotonicity,[status(thm)],[3809])).
% 55.74/55.96 tff(3811,plain,
% 55.74/55.96 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.74/55.96 inference(symmetry,[status(thm)],[3810])).
% 55.74/55.96 tff(3812,plain,
% 55.74/55.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.97 inference(quant_inst,[status(thm)],[])).
% 55.81/55.97 tff(3813,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(unit_resolution,[status(thm)],[3812, 7])).
% 55.81/55.97 tff(3814,plain,
% 55.81/55.97 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3813])).
% 55.81/55.97 tff(3815,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3807])).
% 55.81/55.97 tff(3816,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3815])).
% 55.81/55.97 tff(3817,plain,
% 55.81/55.97 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3816])).
% 55.81/55.97 tff(3818,plain,
% 55.81/55.97 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(transitivity,[status(thm)],[3817, 3814, 3811])).
% 55.81/55.97 tff(3819,plain,
% 55.81/55.97 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3818])).
% 55.81/55.97 tff(3820,plain,
% 55.81/55.97 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3819])).
% 55.81/55.97 tff(3821,plain,
% 55.81/55.97 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.97 inference(transitivity,[status(thm)],[3820, 3804])).
% 55.81/55.97 tff(3822,plain,
% 55.81/55.97 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3821])).
% 55.81/55.97 tff(3823,plain,
% 55.81/55.97 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3822])).
% 55.81/55.97 tff(3824,plain,
% 55.81/55.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.81/55.97 inference(quant_inst,[status(thm)],[])).
% 55.81/55.97 tff(3825,plain,
% 55.81/55.97 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/55.97 inference(unit_resolution,[status(thm)],[3824, 7])).
% 55.81/55.97 tff(3826,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3654])).
% 55.81/55.97 tff(3827,plain,
% 55.81/55.97 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3826])).
% 55.81/55.97 tff(3828,plain,
% 55.81/55.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/55.97 inference(quant_inst,[status(thm)],[])).
% 55.81/55.97 tff(3829,plain,
% 55.81/55.97 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(unit_resolution,[status(thm)],[3828, 7])).
% 55.81/55.97 tff(3830,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3829])).
% 55.81/55.97 tff(3831,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(transitivity,[status(thm)],[3830, 3827])).
% 55.81/55.97 tff(3832,plain,
% 55.81/55.97 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3831])).
% 55.81/55.97 tff(3833,plain,
% 55.81/55.97 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3832])).
% 55.81/55.97 tff(3834,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3833])).
% 55.81/55.97 tff(3835,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3834])).
% 55.81/55.97 tff(3836,plain,
% 55.81/55.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.97 inference(quant_inst,[status(thm)],[])).
% 55.81/55.97 tff(3837,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.97 inference(unit_resolution,[status(thm)],[3836, 7])).
% 55.81/55.97 tff(3838,plain,
% 55.81/55.97 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3837])).
% 55.81/55.97 tff(3839,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3629])).
% 55.81/55.97 tff(3840,plain,
% 55.81/55.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/55.97 inference(quant_inst,[status(thm)],[])).
% 55.81/55.97 tff(3841,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.81/55.97 inference(unit_resolution,[status(thm)],[3840, 7])).
% 55.81/55.97 tff(3842,plain,
% 55.81/55.97 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3841])).
% 55.81/55.97 tff(3843,plain,
% 55.81/55.97 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.81/55.97 inference(transitivity,[status(thm)],[3842, 3839])).
% 55.81/55.97 tff(3844,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3843])).
% 55.81/55.97 tff(3845,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3844])).
% 55.81/55.97 tff(3846,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3826])).
% 55.81/55.97 tff(3847,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3846])).
% 55.81/55.97 tff(3848,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3847])).
% 55.81/55.97 tff(3849,plain,
% 55.81/55.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/55.97 inference(quant_inst,[status(thm)],[])).
% 55.81/55.97 tff(3850,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(unit_resolution,[status(thm)],[3849, 7])).
% 55.81/55.97 tff(3851,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3655])).
% 55.81/55.97 tff(3852,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3851])).
% 55.81/55.97 tff(3853,plain,
% 55.81/55.97 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/55.97 inference(transitivity,[status(thm)],[3852, 3850, 3848, 3845])).
% 55.81/55.97 tff(3854,plain,
% 55.81/55.97 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3853])).
% 55.81/55.97 tff(3855,plain,
% 55.81/55.97 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3854])).
% 55.81/55.97 tff(3856,plain,
% 55.81/55.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.97 inference(quant_inst,[status(thm)],[])).
% 55.81/55.97 tff(3857,plain,
% 55.81/55.97 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(unit_resolution,[status(thm)],[3856, 7])).
% 55.81/55.97 tff(3858,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3857])).
% 55.81/55.97 tff(3859,plain,
% 55.81/55.97 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3843])).
% 55.81/55.97 tff(3860,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3859])).
% 55.81/55.97 tff(3861,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.97 inference(symmetry,[status(thm)],[3860])).
% 55.81/55.97 tff(3862,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/55.97 inference(monotonicity,[status(thm)],[3831])).
% 55.81/55.97 tff(3863,plain,
% 55.81/55.97 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/55.98 inference(transitivity,[status(thm)],[3862, 3861, 3858, 3855])).
% 55.81/55.98 tff(3864,plain,
% 55.81/55.98 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3863])).
% 55.81/55.98 tff(3865,plain,
% 55.81/55.98 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3864])).
% 55.81/55.98 tff(3866,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3867,plain,
% 55.81/55.98 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))) = sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3866, 7])).
% 55.81/55.98 tff(3868,plain,
% 55.81/55.98 (sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))) = sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3867])).
% 55.81/55.98 tff(3869,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3868])).
% 55.81/55.98 tff(3870,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(transitivity,[status(thm)],[3869, 3842, 3839])).
% 55.81/55.98 tff(3871,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3870])).
% 55.81/55.98 tff(3872,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3873,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3872, 7])).
% 55.81/55.98 tff(3874,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3873])).
% 55.81/55.98 tff(3875,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3868])).
% 55.81/55.98 tff(3876,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3875])).
% 55.81/55.98 tff(3877,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3876])).
% 55.81/55.98 tff(3878,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3807])).
% 55.81/55.98 tff(3879,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/55.98 inference(transitivity,[status(thm)],[3878, 3877, 3874, 3871])).
% 55.81/55.98 tff(3880,plain,
% 55.81/55.98 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3879])).
% 55.81/55.98 tff(3881,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3882,plain,
% 55.81/55.98 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3881, 7])).
% 55.81/55.98 tff(3883,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3882])).
% 55.81/55.98 tff(3884,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3816])).
% 55.81/55.98 tff(3885,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/55.98 inference(transitivity,[status(thm)],[3884, 3883, 3880, 3861, 3858, 3855])).
% 55.81/55.98 tff(3886,plain,
% 55.81/55.98 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3885])).
% 55.81/55.98 tff(3887,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3888,plain,
% 55.81/55.98 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3887, 7])).
% 55.81/55.98 tff(3889,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3888])).
% 55.81/55.98 tff(3890,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.98 inference(transitivity,[status(thm)],[3889, 3886, 3865, 3838, 3835])).
% 55.81/55.98 tff(3891,plain,
% 55.81/55.98 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3890])).
% 55.81/55.98 tff(3892,plain,
% 55.81/55.98 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3891])).
% 55.81/55.98 tff(3893,plain,
% 55.81/55.98 (sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3720])).
% 55.81/55.98 tff(3894,plain,
% 55.81/55.98 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3893])).
% 55.81/55.98 tff(3895,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3894])).
% 55.81/55.98 tff(3896,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3895])).
% 55.81/55.98 tff(3897,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3898,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3897, 7])).
% 55.81/55.98 tff(3899,plain,
% 55.81/55.98 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3898])).
% 55.81/55.98 tff(3900,plain,
% 55.81/55.98 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(transitivity,[status(thm)],[3899, 3896])).
% 55.81/55.98 tff(3901,plain,
% 55.81/55.98 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3900])).
% 55.81/55.98 tff(3902,plain,
% 55.81/55.98 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3901])).
% 55.81/55.98 tff(3903,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3904,plain,
% 55.81/55.98 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3903, 7])).
% 55.81/55.98 tff(3905,plain,
% 55.81/55.98 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3900])).
% 55.81/55.98 tff(3906,plain,
% 55.81/55.98 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3905])).
% 55.81/55.98 tff(3907,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3908,plain,
% 55.81/55.98 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3907, 7])).
% 55.81/55.98 tff(3909,plain,
% 55.81/55.98 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3908])).
% 55.81/55.98 tff(3910,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3909])).
% 55.81/55.98 tff(3911,plain,
% 55.81/55.98 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3910])).
% 55.81/55.98 tff(3912,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3913,plain,
% 55.81/55.98 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/55.98 inference(unit_resolution,[status(thm)],[3912, 7])).
% 55.81/55.98 tff(3914,plain,
% 55.81/55.98 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3909])).
% 55.81/55.98 tff(3915,plain,
% 55.81/55.98 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(symmetry,[status(thm)],[3914])).
% 55.81/55.98 tff(3916,plain,
% 55.81/55.98 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/55.98 inference(monotonicity,[status(thm)],[3893])).
% 55.81/55.98 tff(3917,plain,
% 55.81/55.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.81/55.98 inference(quant_inst,[status(thm)],[])).
% 55.81/55.98 tff(3918,plain,
% 55.81/55.98 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.81/55.99 inference(unit_resolution,[status(thm)],[3917, 7])).
% 55.81/55.99 tff(3919,plain,
% 55.81/55.99 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3774])).
% 55.81/55.99 tff(3920,plain,
% 55.81/55.99 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.81/55.99 inference(transitivity,[status(thm)],[3919, 3918, 3916, 3915])).
% 55.81/55.99 tff(3921,plain,
% 55.81/55.99 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3920])).
% 55.81/55.99 tff(3922,plain,
% 55.81/55.99 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.81/55.99 inference(transitivity,[status(thm)],[3921, 3913, 3911, 3906])).
% 55.81/55.99 tff(3923,plain,
% 55.81/55.99 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3922])).
% 55.81/55.99 tff(3924,plain,
% 55.81/55.99 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/55.99 inference(transitivity,[status(thm)],[3854, 3857, 3860, 3923, 3904, 3902])).
% 55.81/55.99 tff(3925,plain,
% 55.81/55.99 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3924])).
% 55.81/55.99 tff(3926,plain,
% 55.81/55.99 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3925])).
% 55.81/55.99 tff(3927,plain,
% 55.81/55.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.99 inference(quant_inst,[status(thm)],[])).
% 55.81/55.99 tff(3928,plain,
% 55.81/55.99 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(unit_resolution,[status(thm)],[3927, 7])).
% 55.81/55.99 tff(3929,plain,
% 55.81/55.99 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3928])).
% 55.81/55.99 tff(3930,plain,
% 55.81/55.99 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(transitivity,[status(thm)],[3929, 3926, 3865, 3838, 3835])).
% 55.81/55.99 tff(3931,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3930])).
% 55.81/55.99 tff(3932,plain,
% 55.81/55.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 55.81/55.99 inference(quant_inst,[status(thm)],[])).
% 55.81/55.99 tff(3933,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.99 inference(unit_resolution,[status(thm)],[3932, 7])).
% 55.81/55.99 tff(3934,plain,
% 55.81/55.99 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3933])).
% 55.81/55.99 tff(3935,plain,
% 55.81/55.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.99 inference(quant_inst,[status(thm)],[])).
% 55.81/55.99 tff(3936,plain,
% 55.81/55.99 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(unit_resolution,[status(thm)],[3935, 7])).
% 55.81/55.99 tff(3937,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3900])).
% 55.81/55.99 tff(3938,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3937])).
% 55.81/55.99 tff(3939,plain,
% 55.81/55.99 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3938])).
% 55.81/55.99 tff(3940,plain,
% 55.81/55.99 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3939])).
% 55.81/55.99 tff(3941,plain,
% 55.81/55.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/55.99 inference(quant_inst,[status(thm)],[])).
% 55.81/55.99 tff(3942,plain,
% 55.81/55.99 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/55.99 inference(unit_resolution,[status(thm)],[3941, 7])).
% 55.81/55.99 tff(3943,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3942])).
% 55.81/55.99 tff(3944,plain,
% 55.81/55.99 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3901])).
% 55.81/55.99 tff(3945,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3944])).
% 55.81/55.99 tff(3946,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/55.99 inference(transitivity,[status(thm)],[3945, 3943, 3940])).
% 55.81/55.99 tff(3947,plain,
% 55.81/55.99 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3946])).
% 55.81/55.99 tff(3948,plain,
% 55.81/55.99 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3947])).
% 55.81/55.99 tff(3949,plain,
% 55.81/55.99 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(transitivity,[status(thm)],[3948, 3936])).
% 55.81/55.99 tff(3950,plain,
% 55.81/55.99 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3949])).
% 55.81/55.99 tff(3951,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(symmetry,[status(thm)],[3936])).
% 55.81/55.99 tff(3952,plain,
% 55.81/55.99 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/55.99 inference(transitivity,[status(thm)],[3951, 3947])).
% 55.81/55.99 tff(3953,plain,
% 55.81/55.99 (lseg(x1, x1) = lseg(x9, x1)),
% 55.81/55.99 inference(monotonicity,[status(thm)],[3619])).
% 55.81/55.99 tff(3954,plain,
% 55.81/55.99 (sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3953, 3952])).
% 55.81/56.00 tff(3955,plain,
% 55.81/56.00 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3949])).
% 55.81/56.00 tff(3956,plain,
% 55.81/56.00 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3957,plain,
% 55.81/56.00 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3956, 500])).
% 55.81/56.00 tff(3958,plain,
% 55.81/56.00 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3957])).
% 55.81/56.00 tff(3959,plain,
% 55.81/56.00 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3910])).
% 55.81/56.00 tff(3960,plain,
% 55.81/56.00 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3959])).
% 55.81/56.00 tff(3961,plain,
% 55.81/56.00 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3960])).
% 55.81/56.00 tff(3962,plain,
% 55.81/56.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3963,plain,
% 55.81/56.00 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3962, 7])).
% 55.81/56.00 tff(3964,plain,
% 55.81/56.00 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3963])).
% 55.81/56.00 tff(3965,plain,
% 55.81/56.00 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(transitivity,[status(thm)],[3964, 3961])).
% 55.81/56.00 tff(3966,plain,
% 55.81/56.00 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3965])).
% 55.81/56.00 tff(3967,plain,
% 55.81/56.00 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3966])).
% 55.81/56.00 tff(3968,plain,
% 55.81/56.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3969,plain,
% 55.81/56.00 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3968, 7])).
% 55.81/56.00 tff(3970,plain,
% 55.81/56.00 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3965])).
% 55.81/56.00 tff(3971,plain,
% 55.81/56.00 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3970])).
% 55.81/56.00 tff(3972,plain,
% 55.81/56.00 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3971])).
% 55.81/56.00 tff(3973,plain,
% 55.81/56.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3974,plain,
% 55.81/56.00 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3973, 7])).
% 55.81/56.00 tff(3975,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3974])).
% 55.81/56.00 tff(3976,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/56.00 inference(transitivity,[status(thm)],[3975, 3910])).
% 55.81/56.00 tff(3977,plain,
% 55.81/56.00 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3976])).
% 55.81/56.00 tff(3978,plain,
% 55.81/56.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3979,plain,
% 55.81/56.00 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3978, 7])).
% 55.81/56.00 tff(3980,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3979])).
% 55.81/56.00 tff(3981,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(transitivity,[status(thm)],[3980, 3977])).
% 55.81/56.00 tff(3982,plain,
% 55.81/56.00 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3981])).
% 55.81/56.00 tff(3983,plain,
% 55.81/56.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3984,plain,
% 55.81/56.00 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3983, 7])).
% 55.81/56.00 tff(3985,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3984])).
% 55.81/56.00 tff(3986,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(transitivity,[status(thm)],[3985, 3982])).
% 55.81/56.00 tff(3987,plain,
% 55.81/56.00 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3986])).
% 55.81/56.00 tff(3988,plain,
% 55.81/56.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3989,plain,
% 55.81/56.00 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3988, 7])).
% 55.81/56.00 tff(3990,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3989])).
% 55.81/56.00 tff(3991,plain,
% 55.81/56.00 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/56.00 inference(transitivity,[status(thm)],[3990, 3987, 3972, 3969, 3967, 3958, 3955, 3954, 3950, 3934, 3931, 3892, 3825, 3823])).
% 55.81/56.00 tff(3992,plain,
% 55.81/56.00 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3991])).
% 55.81/56.00 tff(3993,plain,
% 55.81/56.00 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3992])).
% 55.81/56.00 tff(3994,plain,
% 55.81/56.00 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3634])).
% 55.81/56.00 tff(3995,plain,
% 55.81/56.00 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[3994])).
% 55.81/56.00 tff(3996,plain,
% 55.81/56.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.00 inference(quant_inst,[status(thm)],[])).
% 55.81/56.00 tff(3997,plain,
% 55.81/56.00 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.00 inference(unit_resolution,[status(thm)],[3996, 7])).
% 55.81/56.00 tff(3998,plain,
% 55.81/56.00 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3997])).
% 55.81/56.00 tff(3999,plain,
% 55.81/56.00 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/56.00 inference(symmetry,[status(thm)],[3667])).
% 55.81/56.00 tff(4000,plain,
% 55.81/56.00 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/56.00 inference(transitivity,[status(thm)],[3706, 3705, 3999])).
% 55.81/56.00 tff(4001,plain,
% 55.81/56.00 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.00 inference(monotonicity,[status(thm)],[4000])).
% 55.81/56.00 tff(4002,plain,
% 55.81/56.00 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.00 inference(transitivity,[status(thm)],[4001, 3998, 3995])).
% 55.81/56.01 tff(4003,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4002])).
% 55.81/56.01 tff(4004,plain,
% 55.81/56.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(quant_inst,[status(thm)],[])).
% 55.81/56.01 tff(4005,plain,
% 55.81/56.01 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(unit_resolution,[status(thm)],[4004, 7])).
% 55.81/56.01 tff(4006,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[3663])).
% 55.81/56.01 tff(4007,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(transitivity,[status(thm)],[3660, 4006, 3669])).
% 55.81/56.01 tff(4008,plain,
% 55.81/56.01 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4007])).
% 55.81/56.01 tff(4009,plain,
% 55.81/56.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(quant_inst,[status(thm)],[])).
% 55.81/56.01 tff(4010,plain,
% 55.81/56.01 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(unit_resolution,[status(thm)],[4009, 7])).
% 55.81/56.01 tff(4011,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4010])).
% 55.81/56.01 tff(4012,plain,
% 55.81/56.01 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[3659])).
% 55.81/56.01 tff(4013,plain,
% 55.81/56.01 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4012])).
% 55.81/56.01 tff(4014,plain,
% 55.81/56.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.01 inference(quant_inst,[status(thm)],[])).
% 55.81/56.01 tff(4015,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.01 inference(unit_resolution,[status(thm)],[4014, 7])).
% 55.81/56.01 tff(4016,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[3994])).
% 55.81/56.01 tff(4017,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4016])).
% 55.81/56.01 tff(4018,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(transitivity,[status(thm)],[4017, 4015, 4013])).
% 55.81/56.01 tff(4019,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4018])).
% 55.81/56.01 tff(4020,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(transitivity,[status(thm)],[4019, 4011, 4008, 4005, 4003])).
% 55.81/56.01 tff(4021,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4020])).
% 55.81/56.01 tff(4022,plain,
% 55.81/56.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.01 inference(quant_inst,[status(thm)],[])).
% 55.81/56.01 tff(4023,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(unit_resolution,[status(thm)],[4022, 7])).
% 55.81/56.01 tff(4024,plain,
% 55.81/56.01 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[3850])).
% 55.81/56.01 tff(4025,plain,
% 55.81/56.01 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/56.01 inference(transitivity,[status(thm)],[4024, 3851])).
% 55.81/56.01 tff(4026,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4025])).
% 55.81/56.01 tff(4027,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4026])).
% 55.81/56.01 tff(4028,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4027])).
% 55.81/56.01 tff(4029,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4028])).
% 55.81/56.01 tff(4030,plain,
% 55.81/56.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(quant_inst,[status(thm)],[])).
% 55.81/56.01 tff(4031,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(unit_resolution,[status(thm)],[4030, 7])).
% 55.81/56.01 tff(4032,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4025])).
% 55.81/56.01 tff(4033,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4032])).
% 55.81/56.01 tff(4034,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4033])).
% 55.81/56.01 tff(4035,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.01 inference(transitivity,[status(thm)],[4034, 4031, 4029])).
% 55.81/56.01 tff(4036,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4035])).
% 55.81/56.01 tff(4037,plain,
% 55.81/56.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.01 inference(quant_inst,[status(thm)],[])).
% 55.81/56.01 tff(4038,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(unit_resolution,[status(thm)],[4037, 7])).
% 55.81/56.01 tff(4039,plain,
% 55.81/56.01 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4038])).
% 55.81/56.01 tff(4040,plain,
% 55.81/56.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.01 inference(quant_inst,[status(thm)],[])).
% 55.81/56.01 tff(4041,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.01 inference(unit_resolution,[status(thm)],[4040, 7])).
% 55.81/56.01 tff(4042,plain,
% 55.81/56.01 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/56.01 inference(transitivity,[status(thm)],[3844, 3847, 4024, 3851])).
% 55.81/56.01 tff(4043,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4042])).
% 55.81/56.01 tff(4044,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.01 inference(symmetry,[status(thm)],[4043])).
% 55.81/56.01 tff(4045,plain,
% 55.81/56.01 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.01 inference(transitivity,[status(thm)],[4044, 4041])).
% 55.81/56.01 tff(4046,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.01 inference(monotonicity,[status(thm)],[4045])).
% 55.81/56.01 tff(4047,plain,
% 55.81/56.01 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4046])).
% 55.81/56.02 tff(4048,plain,
% 55.81/56.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/56.02 inference(quant_inst,[status(thm)],[])).
% 55.81/56.02 tff(4049,plain,
% 55.81/56.02 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.02 inference(unit_resolution,[status(thm)],[4048, 7])).
% 55.81/56.02 tff(4050,plain,
% 55.81/56.02 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(transitivity,[status(thm)],[4049, 4047])).
% 55.81/56.02 tff(4051,plain,
% 55.81/56.02 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[4050])).
% 55.81/56.02 tff(4052,plain,
% 55.81/56.02 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.02 inference(transitivity,[status(thm)],[4051, 4039, 4036, 4023, 4021])).
% 55.81/56.02 tff(4053,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[4052])).
% 55.81/56.02 tff(4054,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4053])).
% 55.81/56.02 tff(4055,plain,
% 55.81/56.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.81/56.02 inference(quant_inst,[status(thm)],[])).
% 55.81/56.02 tff(4056,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.02 inference(unit_resolution,[status(thm)],[4055, 7])).
% 55.81/56.02 tff(4057,plain,
% 55.81/56.02 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4056])).
% 55.81/56.02 tff(4058,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[4018])).
% 55.81/56.02 tff(4059,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4058])).
% 55.81/56.02 tff(4060,plain,
% 55.81/56.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.02 inference(quant_inst,[status(thm)],[])).
% 55.81/56.02 tff(4061,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(unit_resolution,[status(thm)],[4060, 7])).
% 55.81/56.02 tff(4062,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[3681])).
% 55.81/56.02 tff(4063,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4062])).
% 55.81/56.02 tff(4064,plain,
% 55.81/56.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(quant_inst,[status(thm)],[])).
% 55.81/56.02 tff(4065,plain,
% 55.81/56.02 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(unit_resolution,[status(thm)],[4064, 7])).
% 55.81/56.02 tff(4066,plain,
% 55.81/56.02 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(transitivity,[status(thm)],[3691, 4065])).
% 55.81/56.02 tff(4067,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[4066])).
% 55.81/56.02 tff(4068,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4067])).
% 55.81/56.02 tff(4069,plain,
% 55.81/56.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.02 inference(quant_inst,[status(thm)],[])).
% 55.81/56.02 tff(4070,plain,
% 55.81/56.02 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(unit_resolution,[status(thm)],[4069, 7])).
% 55.81/56.02 tff(4071,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[3846])).
% 55.81/56.02 tff(4072,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4071])).
% 55.81/56.02 tff(4073,plain,
% 55.81/56.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(quant_inst,[status(thm)],[])).
% 55.81/56.02 tff(4074,plain,
% 55.81/56.02 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.02 inference(unit_resolution,[status(thm)],[4073, 7])).
% 55.81/56.02 tff(4075,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4074])).
% 55.81/56.02 tff(4076,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/56.02 inference(transitivity,[status(thm)],[4075, 4072])).
% 55.81/56.02 tff(4077,plain,
% 55.81/56.02 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[4076])).
% 55.81/56.02 tff(4078,plain,
% 55.81/56.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(quant_inst,[status(thm)],[])).
% 55.81/56.02 tff(4079,plain,
% 55.81/56.02 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(unit_resolution,[status(thm)],[4078, 7])).
% 55.81/56.02 tff(4080,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4079])).
% 55.81/56.02 tff(4081,plain,
% 55.81/56.02 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(transitivity,[status(thm)],[4080, 4077])).
% 55.81/56.02 tff(4082,plain,
% 55.81/56.02 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[4081])).
% 55.81/56.02 tff(4083,plain,
% 55.81/56.02 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4082])).
% 55.81/56.02 tff(4084,plain,
% 55.81/56.02 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.02 inference(symmetry,[status(thm)],[4077])).
% 55.81/56.02 tff(4085,plain,
% 55.81/56.02 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.02 inference(monotonicity,[status(thm)],[4084])).
% 55.81/56.02 tff(4086,plain,
% 55.81/56.02 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4085])).
% 55.81/56.03 tff(4087,plain,
% 55.81/56.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(quant_inst,[status(thm)],[])).
% 55.81/56.03 tff(4088,plain,
% 55.81/56.03 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(unit_resolution,[status(thm)],[4087, 7])).
% 55.81/56.03 tff(4089,plain,
% 55.81/56.03 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4088])).
% 55.81/56.03 tff(4090,plain,
% 55.81/56.03 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4076])).
% 55.81/56.03 tff(4091,plain,
% 55.81/56.03 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4090])).
% 55.81/56.03 tff(4092,plain,
% 55.81/56.03 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4091])).
% 55.81/56.03 tff(4093,plain,
% 55.81/56.03 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(transitivity,[status(thm)],[4092, 4089, 4086, 4083, 4070, 4068, 4063, 4061, 4059])).
% 55.81/56.03 tff(4094,plain,
% 55.81/56.03 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4093])).
% 55.81/56.03 tff(4095,plain,
% 55.81/56.03 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4094])).
% 55.81/56.03 tff(4096,plain,
% 55.81/56.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.03 inference(quant_inst,[status(thm)],[])).
% 55.81/56.03 tff(4097,plain,
% 55.81/56.03 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(unit_resolution,[status(thm)],[4096, 7])).
% 55.81/56.03 tff(4098,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4097])).
% 55.81/56.03 tff(4099,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4020])).
% 55.81/56.03 tff(4100,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4099])).
% 55.81/56.03 tff(4101,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(transitivity,[status(thm)],[4100, 4098, 4095])).
% 55.81/56.03 tff(4102,plain,
% 55.81/56.03 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4101])).
% 55.81/56.03 tff(4103,plain,
% 55.81/56.03 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4102])).
% 55.81/56.03 tff(4104,plain,
% 55.81/56.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.81/56.03 inference(quant_inst,[status(thm)],[])).
% 55.81/56.03 tff(4105,plain,
% 55.81/56.03 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.03 inference(unit_resolution,[status(thm)],[4104, 7])).
% 55.81/56.03 tff(4106,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[3843])).
% 55.81/56.03 tff(4107,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4106])).
% 55.81/56.03 tff(4108,plain,
% 55.81/56.03 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4107])).
% 55.81/56.03 tff(4109,plain,
% 55.81/56.03 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4108])).
% 55.81/56.03 tff(4110,plain,
% 55.81/56.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.03 inference(quant_inst,[status(thm)],[])).
% 55.81/56.03 tff(4111,plain,
% 55.81/56.03 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.03 inference(unit_resolution,[status(thm)],[4110, 7])).
% 55.81/56.03 tff(4112,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4111])).
% 55.81/56.03 tff(4113,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[3853])).
% 55.81/56.03 tff(4114,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4025])).
% 55.81/56.03 tff(4115,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.03 inference(transitivity,[status(thm)],[4114, 4113, 4112, 4109])).
% 55.81/56.03 tff(4116,plain,
% 55.81/56.03 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4115])).
% 55.81/56.03 tff(4117,plain,
% 55.81/56.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(quant_inst,[status(thm)],[])).
% 55.81/56.03 tff(4118,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(unit_resolution,[status(thm)],[4117, 7])).
% 55.81/56.03 tff(4119,plain,
% 55.81/56.03 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.81/56.03 inference(symmetry,[status(thm)],[4032])).
% 55.81/56.03 tff(4120,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4119])).
% 55.81/56.03 tff(4121,plain,
% 55.81/56.03 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.03 inference(transitivity,[status(thm)],[4120, 4118, 4116])).
% 55.81/56.03 tff(4122,plain,
% 55.81/56.03 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.03 inference(monotonicity,[status(thm)],[4121])).
% 55.81/56.03 tff(4123,plain,
% 55.81/56.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.03 inference(quant_inst,[status(thm)],[])).
% 55.81/56.03 tff(4124,plain,
% 55.81/56.04 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4123, 7])).
% 55.81/56.04 tff(4125,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4031])).
% 55.81/56.04 tff(4126,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.04 inference(transitivity,[status(thm)],[4028, 4125, 4033])).
% 55.81/56.04 tff(4127,plain,
% 55.81/56.04 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4126])).
% 55.81/56.04 tff(4128,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.04 inference(quant_inst,[status(thm)],[])).
% 55.81/56.04 tff(4129,plain,
% 55.81/56.04 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4128, 7])).
% 55.81/56.04 tff(4130,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4129])).
% 55.81/56.04 tff(4131,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4093])).
% 55.81/56.04 tff(4132,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(transitivity,[status(thm)],[4131, 4130, 4127, 4124, 4122])).
% 55.81/56.04 tff(4133,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4132])).
% 55.81/56.04 tff(4134,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4133])).
% 55.81/56.04 tff(4135,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.81/56.04 inference(quant_inst,[status(thm)],[])).
% 55.81/56.04 tff(4136,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4135, 7])).
% 55.81/56.04 tff(4137,plain,
% 55.81/56.04 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4136])).
% 55.81/56.04 tff(4138,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4121])).
% 55.81/56.04 tff(4139,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.04 inference(quant_inst,[status(thm)],[])).
% 55.81/56.04 tff(4140,plain,
% 55.81/56.04 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4139, 7])).
% 55.81/56.04 tff(4141,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[3859])).
% 55.81/56.04 tff(4142,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.04 inference(quant_inst,[status(thm)],[])).
% 55.81/56.04 tff(4143,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4142, 7])).
% 55.81/56.04 tff(4144,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4143])).
% 55.81/56.04 tff(4145,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.04 inference(transitivity,[status(thm)],[4144, 4141])).
% 55.81/56.04 tff(4146,plain,
% 55.81/56.04 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4145])).
% 55.81/56.04 tff(4147,plain,
% 55.81/56.04 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4146])).
% 55.81/56.04 tff(4148,plain,
% 55.81/56.04 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.04 inference(transitivity,[status(thm)],[4147, 4049, 4047])).
% 55.81/56.04 tff(4149,plain,
% 55.81/56.04 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4148])).
% 55.81/56.04 tff(4150,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4049])).
% 55.81/56.04 tff(4151,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[3994])).
% 55.81/56.04 tff(4152,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.04 inference(quant_inst,[status(thm)],[])).
% 55.81/56.04 tff(4153,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4152, 7])).
% 55.81/56.04 tff(4154,plain,
% 55.81/56.04 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4153])).
% 55.81/56.04 tff(4155,plain,
% 55.81/56.04 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.04 inference(transitivity,[status(thm)],[4154, 4151])).
% 55.81/56.04 tff(4156,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4155])).
% 55.81/56.04 tff(4157,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/56.04 inference(quant_inst,[status(thm)],[])).
% 55.81/56.04 tff(4158,plain,
% 55.81/56.04 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4157, 7])).
% 55.81/56.04 tff(4159,plain,
% 55.81/56.04 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.04 inference(symmetry,[status(thm)],[4158])).
% 55.81/56.04 tff(4160,plain,
% 55.81/56.04 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.04 inference(transitivity,[status(thm)],[4159, 4156, 4046, 4150, 4146])).
% 55.81/56.04 tff(4161,plain,
% 55.81/56.04 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[4160])).
% 55.81/56.04 tff(4162,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.81/56.04 inference(quant_inst,[status(thm)],[])).
% 55.81/56.04 tff(4163,plain,
% 55.81/56.04 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/56.04 inference(unit_resolution,[status(thm)],[4162, 7])).
% 55.81/56.04 tff(4164,plain,
% 55.81/56.04 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.04 inference(monotonicity,[status(thm)],[3667])).
% 55.81/56.04 tff(4165,plain,
% 55.81/56.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.05 inference(quant_inst,[status(thm)],[])).
% 55.81/56.05 tff(4166,plain,
% 55.81/56.05 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.05 inference(unit_resolution,[status(thm)],[4165, 7])).
% 55.81/56.05 tff(4167,plain,
% 55.81/56.05 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4166])).
% 55.81/56.05 tff(4168,plain,
% 55.81/56.05 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4167, 4164])).
% 55.81/56.05 tff(4169,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4168])).
% 55.81/56.05 tff(4170,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4169])).
% 55.81/56.05 tff(4171,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4170])).
% 55.81/56.05 tff(4172,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[3732])).
% 55.81/56.05 tff(4173,plain,
% 55.81/56.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.81/56.05 inference(quant_inst,[status(thm)],[])).
% 55.81/56.05 tff(4174,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/56.05 inference(unit_resolution,[status(thm)],[4173, 7])).
% 55.81/56.05 tff(4175,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4174])).
% 55.81/56.05 tff(4176,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4175, 4172])).
% 55.81/56.05 tff(4177,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4176])).
% 55.81/56.05 tff(4178,plain,
% 55.81/56.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 55.81/56.05 inference(quant_inst,[status(thm)],[])).
% 55.81/56.05 tff(4179,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.81/56.05 inference(unit_resolution,[status(thm)],[4178, 7])).
% 55.81/56.05 tff(4180,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4179])).
% 55.81/56.05 tff(4181,plain,
% 55.81/56.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.81/56.05 inference(quant_inst,[status(thm)],[])).
% 55.81/56.05 tff(4182,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/56.05 inference(unit_resolution,[status(thm)],[4181, 7])).
% 55.81/56.05 tff(4183,plain,
% 55.81/56.05 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[3723])).
% 55.81/56.05 tff(4184,plain,
% 55.81/56.05 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[3717])).
% 55.81/56.05 tff(4185,plain,
% 55.81/56.05 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4184, 4183])).
% 55.81/56.05 tff(4186,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4185])).
% 55.81/56.05 tff(4187,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4186, 3830, 3827])).
% 55.81/56.05 tff(4188,plain,
% 55.81/56.05 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4187])).
% 55.81/56.05 tff(4189,plain,
% 55.81/56.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/56.05 inference(quant_inst,[status(thm)],[])).
% 55.81/56.05 tff(4190,plain,
% 55.81/56.05 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/56.05 inference(unit_resolution,[status(thm)],[4189, 7])).
% 55.81/56.05 tff(4191,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4190])).
% 55.81/56.05 tff(4192,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4191, 4188])).
% 55.81/56.05 tff(4193,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4192])).
% 55.81/56.05 tff(4194,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4193])).
% 55.81/56.05 tff(4195,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4194, 4182])).
% 55.81/56.05 tff(4196,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4195])).
% 55.81/56.05 tff(4197,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[3833])).
% 55.81/56.05 tff(4198,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4197])).
% 55.81/56.05 tff(4199,plain,
% 55.81/56.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.05 inference(quant_inst,[status(thm)],[])).
% 55.81/56.05 tff(4200,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(unit_resolution,[status(thm)],[4199, 7])).
% 55.81/56.05 tff(4201,plain,
% 55.81/56.05 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4200])).
% 55.81/56.05 tff(4202,plain,
% 55.81/56.05 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4201, 4198])).
% 55.81/56.05 tff(4203,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[4202])).
% 55.81/56.05 tff(4204,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.05 inference(transitivity,[status(thm)],[4203, 4196, 4180, 4177, 4171, 4163, 4161, 4149, 4140, 4138])).
% 55.81/56.05 tff(4205,plain,
% 55.81/56.05 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.05 inference(monotonicity,[status(thm)],[3258, 4204])).
% 55.81/56.05 tff(4206,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4203])).
% 55.81/56.05 tff(4207,plain,
% 55.81/56.05 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4196])).
% 55.81/56.05 tff(4208,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4177])).
% 55.81/56.05 tff(4209,plain,
% 55.81/56.05 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.05 inference(symmetry,[status(thm)],[4171])).
% 55.81/56.05 tff(4210,plain,
% 55.81/56.05 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/56.06 inference(symmetry,[status(thm)],[4163])).
% 55.81/56.06 tff(4211,plain,
% 55.81/56.06 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.81/56.06 inference(symmetry,[status(thm)],[4161])).
% 55.81/56.06 tff(4212,plain,
% 55.81/56.06 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.06 inference(symmetry,[status(thm)],[4149])).
% 55.81/56.06 tff(4213,plain,
% 55.81/56.06 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.06 inference(symmetry,[status(thm)],[4140])).
% 55.81/56.06 tff(4214,plain,
% 55.81/56.06 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.06 inference(symmetry,[status(thm)],[4138])).
% 55.81/56.06 tff(4215,plain,
% 55.81/56.06 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.06 inference(transitivity,[status(thm)],[4214, 4213, 4212, 4211, 4210, 4209, 4208, 4179, 4207, 4206])).
% 55.81/56.06 tff(4216,plain,
% 55.81/56.06 (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.06 inference(monotonicity,[status(thm)],[4215])).
% 55.81/56.06 tff(4217,plain,
% 55.81/56.06 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.06 inference(quant_inst,[status(thm)],[])).
% 55.81/56.06 tff(4218,plain,
% 55.81/56.06 (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.81/56.06 inference(unit_resolution,[status(thm)],[4217, 500])).
% 55.81/56.06 tff(4219,plain,
% 55.81/56.06 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.81/56.06 inference(symmetry,[status(thm)],[4218])).
% 55.81/56.06 tff(4220,plain,
% 55.90/56.06 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.90/56.06 inference(symmetry,[status(thm)],[3825])).
% 55.90/56.06 tff(4221,plain,
% 55.90/56.06 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.90/56.06 inference(transitivity,[status(thm)],[3822, 4220, 3891, 4149, 4140, 4138, 4219, 4216, 4205, 4137, 4134, 4105, 4103, 4057, 4054])).
% 55.90/56.06 tff(4222,plain,
% 55.90/56.06 (lseg(x11, x1) = lseg(x11, x9)),
% 55.90/56.06 inference(monotonicity,[status(thm)],[3619])).
% 55.90/56.06 tff(4223,plain,
% 55.90/56.06 (lseg(x11, x9) = lseg(x11, x1)),
% 55.90/56.06 inference(symmetry,[status(thm)],[4222])).
% 55.90/56.06 tff(4224,plain,
% 55.90/56.06 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x11, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))))),
% 55.90/56.06 inference(monotonicity,[status(thm)],[4223, 4221])).
% 55.90/56.06 tff(4225,plain,
% 55.90/56.06 (sep(lseg(x11, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.90/56.06 inference(symmetry,[status(thm)],[4224])).
% 55.90/56.06 tff(4226,plain,
% 55.90/56.06 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.90/56.06 inference(transitivity,[status(thm)],[4005, 4003])).
% 55.90/56.06 tff(4227,plain,
% 55.90/56.06 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.06 inference(monotonicity,[status(thm)],[4226])).
% 55.90/56.06 tff(4228,plain,
% 55.90/56.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 55.90/56.06 inference(quant_inst,[status(thm)],[])).
% 55.90/56.06 tff(4229,plain,
% 55.90/56.06 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.06 inference(unit_resolution,[status(thm)],[4228, 7])).
% 55.90/56.06 tff(4230,plain,
% 55.90/56.06 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.06 inference(monotonicity,[status(thm)],[3700])).
% 55.90/56.06 tff(4231,plain,
% 55.90/56.06 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.06 inference(transitivity,[status(thm)],[4230, 4229, 4227])).
% 55.90/56.06 tff(4232,plain,
% 55.90/56.06 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.90/56.06 inference(monotonicity,[status(thm)],[4231])).
% 55.90/56.06 tff(4233,plain,
% 55.90/56.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.90/56.06 inference(quant_inst,[status(thm)],[])).
% 55.90/56.06 tff(4234,plain,
% 55.90/56.06 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.90/56.06 inference(unit_resolution,[status(thm)],[4233, 7])).
% 55.90/56.06 tff(4235,plain,
% 55.90/56.06 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.90/56.06 inference(monotonicity,[status(thm)],[4168])).
% 55.90/56.06 tff(4236,plain,
% 55.90/56.06 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.90/56.06 inference(symmetry,[status(thm)],[4235])).
% 55.90/56.06 tff(4237,plain,
% 55.90/56.06 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.90/56.06 inference(monotonicity,[status(thm)],[4236])).
% 55.90/56.06 tff(4238,plain,
% 55.90/56.06 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.06 inference(symmetry,[status(thm)],[4237])).
% 55.90/56.06 tff(4239,plain,
% 55.90/56.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.90/56.06 inference(quant_inst,[status(thm)],[])).
% 55.90/56.06 tff(4240,plain,
% 55.90/56.06 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.90/56.07 inference(unit_resolution,[status(thm)],[4239, 7])).
% 55.90/56.07 tff(4241,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4240])).
% 55.90/56.07 tff(4242,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[4169])).
% 55.90/56.07 tff(4243,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4242])).
% 55.90/56.07 tff(4244,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[3708])).
% 55.90/56.07 tff(4245,plain,
% 55.90/56.07 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[4244])).
% 55.90/56.07 tff(4246,plain,
% 55.90/56.07 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4245])).
% 55.90/56.07 tff(4247,plain,
% 55.90/56.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.07 inference(quant_inst,[status(thm)],[])).
% 55.90/56.07 tff(4248,plain,
% 55.90/56.07 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.90/56.07 inference(unit_resolution,[status(thm)],[4247, 7])).
% 55.90/56.07 tff(4249,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4248])).
% 55.90/56.07 tff(4250,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.90/56.07 inference(transitivity,[status(thm)],[4249, 4246])).
% 55.90/56.07 tff(4251,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[4250])).
% 55.90/56.07 tff(4252,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.90/56.07 inference(transitivity,[status(thm)],[4251, 4243, 4241, 4238, 3715, 3704, 3702])).
% 55.90/56.07 tff(4253,plain,
% 55.90/56.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.07 inference(quant_inst,[status(thm)],[])).
% 55.90/56.07 tff(4254,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.07 inference(unit_resolution,[status(thm)],[4253, 7])).
% 55.90/56.07 tff(4255,plain,
% 55.90/56.07 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[174])).
% 55.90/56.07 tff(4256,plain,
% 55.90/56.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.07 inference(quant_inst,[status(thm)],[])).
% 55.90/56.07 tff(4257,plain,
% 55.90/56.07 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.07 inference(unit_resolution,[status(thm)],[4256, 7])).
% 55.90/56.07 tff(4258,plain,
% 55.90/56.07 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4257])).
% 55.90/56.07 tff(4259,plain,
% 55.90/56.07 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.07 inference(transitivity,[status(thm)],[4258, 4255, 248])).
% 55.90/56.07 tff(4260,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[4259])).
% 55.90/56.07 tff(4261,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4260])).
% 55.90/56.07 tff(4262,plain,
% 55.90/56.07 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.07 inference(transitivity,[status(thm)],[4261, 4254])).
% 55.90/56.07 tff(4263,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[4262])).
% 55.90/56.07 tff(4264,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4263])).
% 55.90/56.07 tff(4265,plain,
% 55.90/56.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.90/56.07 inference(quant_inst,[status(thm)],[])).
% 55.90/56.07 tff(4266,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.07 inference(unit_resolution,[status(thm)],[4265, 7])).
% 55.90/56.07 tff(4267,plain,
% 55.90/56.07 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4266])).
% 55.90/56.07 tff(4268,plain,
% 55.90/56.07 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[147])).
% 55.90/56.07 tff(4269,plain,
% 55.90/56.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.07 inference(quant_inst,[status(thm)],[])).
% 55.90/56.07 tff(4270,plain,
% 55.90/56.07 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.07 inference(unit_resolution,[status(thm)],[4269, 7])).
% 55.90/56.07 tff(4271,plain,
% 55.90/56.07 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.07 inference(symmetry,[status(thm)],[4270])).
% 55.90/56.07 tff(4272,plain,
% 55.90/56.07 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.07 inference(transitivity,[status(thm)],[4271, 4268])).
% 55.90/56.07 tff(4273,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.07 inference(monotonicity,[status(thm)],[4272])).
% 55.90/56.07 tff(4274,plain,
% 55.90/56.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.07 inference(quant_inst,[status(thm)],[])).
% 55.90/56.07 tff(4275,plain,
% 55.90/56.07 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.07 inference(unit_resolution,[status(thm)],[4274, 7])).
% 55.90/56.07 tff(4276,plain,
% 55.90/56.07 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.08 inference(symmetry,[status(thm)],[4275])).
% 55.90/56.08 tff(4277,plain,
% 55.90/56.08 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.08 inference(transitivity,[status(thm)],[4276, 4273])).
% 55.90/56.08 tff(4278,plain,
% 55.90/56.08 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[4277])).
% 55.90/56.08 tff(4279,plain,
% 55.90/56.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(quant_inst,[status(thm)],[])).
% 55.90/56.08 tff(4280,plain,
% 55.90/56.08 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.08 inference(unit_resolution,[status(thm)],[4279, 7])).
% 55.90/56.08 tff(4281,plain,
% 55.90/56.08 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.08 inference(symmetry,[status(thm)],[4280])).
% 55.90/56.08 tff(4282,plain,
% 55.90/56.08 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.08 inference(transitivity,[status(thm)],[4281, 4278])).
% 55.90/56.08 tff(4283,plain,
% 55.90/56.08 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[4282])).
% 55.90/56.08 tff(4284,plain,
% 55.90/56.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.08 inference(quant_inst,[status(thm)],[])).
% 55.90/56.08 tff(4285,plain,
% 55.90/56.08 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(unit_resolution,[status(thm)],[4284, 7])).
% 55.90/56.08 tff(4286,plain,
% 55.90/56.08 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(symmetry,[status(thm)],[4285])).
% 55.90/56.08 tff(4287,plain,
% 55.90/56.08 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(transitivity,[status(thm)],[4286, 4283, 3131, 3134, 3171])).
% 55.90/56.08 tff(4288,plain,
% 55.90/56.08 (sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[3291, 4287])).
% 55.90/56.08 tff(4289,plain,
% 55.90/56.08 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(symmetry,[status(thm)],[4283])).
% 55.90/56.08 tff(4290,plain,
% 55.90/56.08 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[3621, 992])).
% 55.90/56.08 tff(4291,plain,
% 55.90/56.08 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(transitivity,[status(thm)],[4290, 990, 987])).
% 55.90/56.08 tff(4292,plain,
% 55.90/56.08 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[4291])).
% 55.90/56.08 tff(4293,plain,
% 55.90/56.08 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.90/56.08 inference(transitivity,[status(thm)],[4292, 946, 943, 933])).
% 55.90/56.08 tff(4294,plain,
% 55.90/56.08 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[4293])).
% 55.90/56.08 tff(4295,plain,
% 55.90/56.08 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.90/56.08 inference(symmetry,[status(thm)],[4294])).
% 55.90/56.08 tff(4296,plain,
% 55.90/56.08 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.90/56.08 inference(modus_ponens,[status(thm)],[464, 4295])).
% 55.90/56.08 tff(4297,plain,
% 55.90/56.08 ((x1 = x14) <=> (x9 = x14)),
% 55.90/56.08 inference(monotonicity,[status(thm)],[3619])).
% 55.90/56.08 tff(4298,plain,
% 55.90/56.08 ((x9 = x14) <=> (x1 = x14)),
% 55.90/56.08 inference(symmetry,[status(thm)],[4297])).
% 55.90/56.08 tff(4299,plain,
% 55.90/56.08 ((~(x9 = x14)) <=> (~(x1 = x14))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[4298])).
% 55.90/56.08 tff(4300,plain,
% 55.90/56.08 (~(x1 = x14)),
% 55.90/56.08 inference(modus_ponens,[status(thm)],[468, 4299])).
% 55.90/56.08 tff(4301,plain,
% 55.90/56.08 (x1 = x7),
% 55.90/56.08 inference(unit_resolution,[status(thm)],[1010, 478, 4300, 4296])).
% 55.90/56.08 tff(4302,plain,
% 55.90/56.08 (x7 = x1),
% 55.90/56.08 inference(symmetry,[status(thm)],[4301])).
% 55.90/56.08 tff(4303,plain,
% 55.90/56.08 (lseg(x1, x7) = lseg(x9, x1)),
% 55.90/56.08 inference(monotonicity,[status(thm)],[3619, 4302])).
% 55.90/56.08 tff(4304,plain,
% 55.90/56.08 (lseg(x9, x1) = lseg(x1, x7)),
% 55.90/56.08 inference(symmetry,[status(thm)],[4303])).
% 55.90/56.08 tff(4305,plain,
% 55.90/56.08 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.08 inference(monotonicity,[status(thm)],[4304, 2224])).
% 55.90/56.08 tff(4306,plain,
% 55.90/56.08 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.09 inference(symmetry,[status(thm)],[2220])).
% 55.90/56.09 tff(4307,plain,
% 55.90/56.09 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.09 inference(symmetry,[status(thm)],[3129])).
% 55.90/56.09 tff(4308,plain,
% 55.90/56.09 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.09 inference(symmetry,[status(thm)],[3125])).
% 55.90/56.09 tff(4309,plain,
% 55.90/56.09 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.09 inference(monotonicity,[status(thm)],[1863])).
% 55.90/56.09 tff(4310,plain,
% 55.90/56.09 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.09 inference(symmetry,[status(thm)],[4309])).
% 55.90/56.09 tff(4311,plain,
% 55.90/56.09 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.09 inference(monotonicity,[status(thm)],[4310])).
% 55.90/56.09 tff(4312,plain,
% 55.90/56.09 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.09 inference(symmetry,[status(thm)],[4311])).
% 55.90/56.09 tff(4313,plain,
% 55.90/56.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.09 inference(quant_inst,[status(thm)],[])).
% 55.90/56.09 tff(4314,plain,
% 55.90/56.09 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.09 inference(unit_resolution,[status(thm)],[4313, 7])).
% 55.90/56.09 tff(4315,plain,
% 55.90/56.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.09 inference(quant_inst,[status(thm)],[])).
% 55.90/56.09 tff(4316,plain,
% 55.90/56.09 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.09 inference(unit_resolution,[status(thm)],[4315, 7])).
% 55.90/56.09 tff(4317,plain,
% 55.90/56.09 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 55.90/56.09 inference(transitivity,[status(thm)],[30, 4316])).
% 55.90/56.09 tff(4318,plain,
% 55.90/56.09 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.09 inference(monotonicity,[status(thm)],[4317])).
% 55.90/56.09 tff(4319,plain,
% 55.90/56.09 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.90/56.09 inference(transitivity,[status(thm)],[4318, 4314, 4312])).
% 55.90/56.09 tff(4320,plain,
% 55.90/56.09 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.09 inference(monotonicity,[status(thm)],[4319])).
% 55.90/56.09 tff(4321,plain,
% 55.90/56.09 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.09 inference(symmetry,[status(thm)],[4320])).
% 55.90/56.09 tff(4322,plain,
% 55.90/56.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 55.90/56.09 inference(quant_inst,[status(thm)],[])).
% 55.90/56.09 tff(4323,plain,
% 55.90/56.09 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.90/56.09 inference(unit_resolution,[status(thm)],[4322, 7])).
% 55.90/56.09 tff(4324,plain,
% 55.90/56.09 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.93/56.09 inference(symmetry,[status(thm)],[4323])).
% 55.93/56.09 tff(4325,plain,
% 55.93/56.09 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.93/56.09 inference(monotonicity,[status(thm)],[3953])).
% 55.93/56.09 tff(4326,plain,
% 55.93/56.09 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.93/56.09 inference(quant_inst,[status(thm)],[])).
% 55.93/56.09 tff(4327,plain,
% 55.93/56.09 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 55.93/56.09 inference(unit_resolution,[status(thm)],[4326, 500])).
% 55.93/56.09 tff(4328,plain,
% 55.93/56.09 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 55.93/56.09 inference(symmetry,[status(thm)],[4327])).
% 55.93/56.09 tff(4329,plain,
% 55.93/56.09 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 55.93/56.09 inference(transitivity,[status(thm)],[4328, 4325, 4324, 4321, 4308, 4307, 4306, 2222])).
% 55.93/56.09 tff(4330,plain,
% 55.93/56.09 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.93/56.09 inference(monotonicity,[status(thm)],[4329])).
% 55.93/56.09 tff(4331,plain,
% 55.93/56.09 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 55.93/56.09 inference(transitivity,[status(thm)],[4281, 4278, 3129, 3125, 4320, 4323, 4330, 4305, 4289, 4285])).
% 55.93/56.09 tff(4332,plain,
% 55.93/56.09 (sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.93/56.09 inference(monotonicity,[status(thm)],[4331])).
% 55.93/56.09 tff(4333,plain,
% 55.93/56.09 (sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.93/56.09 inference(transitivity,[status(thm)],[4332, 4288, 4267, 4264])).
% 55.93/56.09 tff(4334,plain,
% 55.93/56.09 (heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.93/56.09 inference(monotonicity,[status(thm)],[4333])).
% 55.93/56.09 tff(4335,plain,
% 55.93/56.09 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.93/56.09 inference(symmetry,[status(thm)],[4334])).
% 55.93/56.09 tff(4336,plain,
% 55.93/56.09 (heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 55.93/56.09 inference(modus_ponens,[status(thm)],[464, 4335])).
% 55.93/56.09 tff(4337,plain,
% 55.93/56.09 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.93/56.09 inference(rewrite,[status(thm)],[])).
% 55.93/56.09 tff(4338,plain,
% 55.93/56.09 (((x2 = x11) | (x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))) <=> ((x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.93/56.09 inference(rewrite,[status(thm)],[])).
% 55.93/56.09 tff(4339,plain,
% 55.93/56.09 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x11) | (x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4338])).
% 55.93/56.10 tff(4340,plain,
% 55.93/56.10 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x11) | (x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.93/56.10 inference(transitivity,[status(thm)],[4339, 4337])).
% 55.93/56.10 tff(4341,plain,
% 55.93/56.10 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x11) | (x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 55.93/56.10 inference(quant_inst,[status(thm)],[])).
% 55.93/56.10 tff(4342,plain,
% 55.93/56.10 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.93/56.10 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 55.93/56.10 tff(4343,plain,
% 55.93/56.10 ((x2 = x11) | (~heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 55.93/56.10 inference(unit_resolution,[status(thm)],[4342, 478])).
% 55.93/56.10 tff(4344,plain,
% 55.93/56.10 (x2 = x11),
% 55.93/56.10 inference(unit_resolution,[status(thm)],[4343, 4336])).
% 55.93/56.10 tff(4345,plain,
% 55.93/56.10 (x2 = x13),
% 55.93/56.10 inference(transitivity,[status(thm)],[4344, 3289])).
% 55.93/56.10 tff(4346,plain,
% 55.93/56.10 (lseg(x2, x12) = lseg(x13, x12)),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4345])).
% 55.93/56.10 tff(4347,plain,
% 55.93/56.10 (lseg(x13, x12) = lseg(x2, x12)),
% 55.93/56.10 inference(symmetry,[status(thm)],[4346])).
% 55.93/56.10 tff(4348,plain,
% 55.93/56.10 (sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4347, 4252])).
% 55.93/56.10 tff(4349,plain,
% 55.93/56.10 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.10 inference(symmetry,[status(thm)],[4251])).
% 55.93/56.10 tff(4350,plain,
% 55.93/56.10 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[3258, 4176])).
% 55.93/56.10 tff(4351,plain,
% 55.93/56.10 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.93/56.10 inference(symmetry,[status(thm)],[4172])).
% 55.93/56.10 tff(4352,plain,
% 55.93/56.10 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 55.93/56.10 inference(transitivity,[status(thm)],[4249, 4246, 4351, 4174])).
% 55.93/56.10 tff(4353,plain,
% 55.93/56.10 (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4352])).
% 55.93/56.10 tff(4354,plain,
% 55.93/56.10 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.10 inference(quant_inst,[status(thm)],[])).
% 55.93/56.10 tff(4355,plain,
% 55.93/56.10 (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.10 inference(unit_resolution,[status(thm)],[4354, 500])).
% 55.93/56.10 tff(4356,plain,
% 55.93/56.10 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.10 inference(symmetry,[status(thm)],[4355])).
% 55.93/56.10 tff(4357,plain,
% 55.93/56.10 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.10 inference(transitivity,[status(thm)],[4245, 4248, 4356, 4353, 4350, 4349])).
% 55.93/56.10 tff(4358,plain,
% 55.93/56.10 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4357])).
% 55.93/56.10 tff(4359,plain,
% 55.93/56.10 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.93/56.10 inference(symmetry,[status(thm)],[3769])).
% 55.93/56.10 tff(4360,plain,
% 55.93/56.10 (sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.93/56.10 inference(transitivity,[status(thm)],[4359, 3792, 4237, 4240, 4242, 4358, 4348, 4234, 4232, 4057, 4054])).
% 55.93/56.10 tff(4361,plain,
% 55.93/56.10 (sep(lseg(x11, x9), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))) = sep(lseg(x11, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4223, 4360])).
% 55.93/56.10 tff(4362,plain,
% 55.93/56.10 (sep(lseg(x11, x9), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.10 inference(transitivity,[status(thm)],[4361, 4225, 3993])).
% 55.93/56.10 tff(4363,plain,
% 55.93/56.10 (heap(sep(lseg(x11, x9), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4362])).
% 55.93/56.10 tff(4364,plain,
% 55.93/56.10 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))))),
% 55.93/56.10 inference(symmetry,[status(thm)],[4363])).
% 55.93/56.10 tff(4365,plain,
% 55.93/56.10 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.10 inference(transitivity,[status(thm)],[4219, 4216, 4205])).
% 55.93/56.10 tff(4366,plain,
% 55.93/56.10 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.93/56.10 inference(monotonicity,[status(thm)],[4365])).
% 55.93/56.10 tff(4367,plain,
% 55.93/56.10 (sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.10 inference(symmetry,[status(thm)],[4366])).
% 55.93/56.10 tff(4368,plain,
% 55.93/56.10 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.10 inference(symmetry,[status(thm)],[4105])).
% 55.93/56.10 tff(4369,plain,
% 55.93/56.10 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.10 inference(transitivity,[status(thm)],[4234, 4232, 4102, 4368, 4133, 4136])).
% 55.93/56.10 tff(4370,plain,
% 55.93/56.11 (sep(lseg(x2, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4346, 4369])).
% 55.93/56.11 tff(4371,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4234])).
% 55.93/56.11 tff(4372,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4232])).
% 55.93/56.11 tff(4373,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.11 inference(transitivity,[status(thm)],[4372, 4371])).
% 55.93/56.11 tff(4374,plain,
% 55.93/56.11 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x2, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[3291, 4373])).
% 55.93/56.11 tff(4375,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4051])).
% 55.93/56.11 tff(4376,plain,
% 55.93/56.11 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4036])).
% 55.93/56.11 tff(4377,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4023])).
% 55.93/56.11 tff(4378,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4021])).
% 55.93/56.11 tff(4379,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[3885])).
% 55.93/56.11 tff(4380,plain,
% 55.93/56.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.11 inference(quant_inst,[status(thm)],[])).
% 55.93/56.11 tff(4381,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.93/56.11 inference(unit_resolution,[status(thm)],[4380, 7])).
% 55.93/56.11 tff(4382,plain,
% 55.93/56.11 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4381])).
% 55.93/56.11 tff(4383,plain,
% 55.93/56.11 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[3875])).
% 55.93/56.11 tff(4384,plain,
% 55.93/56.11 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4383])).
% 55.93/56.11 tff(4385,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4384])).
% 55.93/56.11 tff(4386,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4385])).
% 55.93/56.11 tff(4387,plain,
% 55.93/56.11 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4386])).
% 55.93/56.11 tff(4388,plain,
% 55.93/56.11 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.11 inference(transitivity,[status(thm)],[4387, 4382, 4379])).
% 55.93/56.11 tff(4389,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4388])).
% 55.93/56.11 tff(4390,plain,
% 55.93/56.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))))))),
% 55.93/56.11 inference(quant_inst,[status(thm)],[])).
% 55.93/56.11 tff(4391,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.11 inference(unit_resolution,[status(thm)],[4390, 7])).
% 55.93/56.11 tff(4392,plain,
% 55.93/56.11 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4391])).
% 55.93/56.11 tff(4393,plain,
% 55.93/56.11 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.11 inference(transitivity,[status(thm)],[4392, 4389, 4378, 4377, 4376, 4038, 4375])).
% 55.93/56.11 tff(4394,plain,
% 55.93/56.11 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4304, 4393])).
% 55.93/56.11 tff(4395,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4389])).
% 55.93/56.11 tff(4396,plain,
% 55.93/56.11 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[3910])).
% 55.93/56.11 tff(4397,plain,
% 55.93/56.11 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4396])).
% 55.93/56.11 tff(4398,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4397])).
% 55.93/56.11 tff(4399,plain,
% 55.93/56.11 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4398])).
% 55.93/56.11 tff(4400,plain,
% 55.93/56.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(quant_inst,[status(thm)],[])).
% 55.93/56.11 tff(4401,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.11 inference(unit_resolution,[status(thm)],[4400, 7])).
% 55.93/56.11 tff(4402,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[3924])).
% 55.93/56.11 tff(4403,plain,
% 55.93/56.11 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.11 inference(transitivity,[status(thm)],[4402, 4401, 4399])).
% 55.93/56.11 tff(4404,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[4403])).
% 55.93/56.11 tff(4405,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4404])).
% 55.93/56.11 tff(4406,plain,
% 55.93/56.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.11 inference(quant_inst,[status(thm)],[])).
% 55.93/56.11 tff(4407,plain,
% 55.93/56.11 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(unit_resolution,[status(thm)],[4406, 7])).
% 55.93/56.11 tff(4408,plain,
% 55.93/56.11 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(symmetry,[status(thm)],[4407])).
% 55.93/56.11 tff(4409,plain,
% 55.93/56.11 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(monotonicity,[status(thm)],[3953])).
% 55.93/56.11 tff(4410,plain,
% 55.93/56.11 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.11 inference(quant_inst,[status(thm)],[])).
% 55.93/56.11 tff(4411,plain,
% 55.93/56.11 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.12 inference(unit_resolution,[status(thm)],[4410, 500])).
% 55.93/56.12 tff(4412,plain,
% 55.93/56.12 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4411])).
% 55.93/56.12 tff(4413,plain,
% 55.93/56.12 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.12 inference(transitivity,[status(thm)],[4412, 4409, 4408, 4405, 4395, 4391])).
% 55.93/56.12 tff(4414,plain,
% 55.93/56.12 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), emp)))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4413])).
% 55.93/56.12 tff(4415,plain,
% 55.93/56.12 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.12 inference(transitivity,[status(thm)],[4051, 4039, 4036, 4023, 4021, 4404, 4407, 4414, 4394, 4053, 4056])).
% 55.93/56.12 tff(4416,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4415])).
% 55.93/56.12 tff(4417,plain,
% 55.93/56.12 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4226])).
% 55.93/56.12 tff(4418,plain,
% 55.93/56.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.12 inference(quant_inst,[status(thm)],[])).
% 55.93/56.12 tff(4419,plain,
% 55.93/56.12 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(unit_resolution,[status(thm)],[4418, 7])).
% 55.93/56.12 tff(4420,plain,
% 55.93/56.12 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[3709])).
% 55.93/56.12 tff(4421,plain,
% 55.93/56.12 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.93/56.12 inference(transitivity,[status(thm)],[4420, 3711])).
% 55.93/56.12 tff(4422,plain,
% 55.93/56.12 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4421])).
% 55.93/56.12 tff(4423,plain,
% 55.93/56.12 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[3737])).
% 55.93/56.12 tff(4424,plain,
% 55.93/56.12 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.93/56.12 inference(transitivity,[status(thm)],[4423, 4422, 4419, 4417, 4378, 4377, 4376, 4038, 4375])).
% 55.93/56.12 tff(4425,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4424])).
% 55.93/56.12 tff(4426,plain,
% 55.93/56.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))))),
% 55.93/56.12 inference(quant_inst,[status(thm)],[])).
% 55.93/56.12 tff(4427,plain,
% 55.93/56.12 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 55.93/56.12 inference(unit_resolution,[status(thm)],[4426, 7])).
% 55.93/56.12 tff(4428,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[3737])).
% 55.93/56.12 tff(4429,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4428])).
% 55.93/56.12 tff(4430,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4421])).
% 55.93/56.12 tff(4431,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4430])).
% 55.93/56.12 tff(4432,plain,
% 55.93/56.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 55.93/56.12 inference(quant_inst,[status(thm)],[])).
% 55.93/56.12 tff(4433,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(unit_resolution,[status(thm)],[4432, 7])).
% 55.93/56.12 tff(4434,plain,
% 55.93/56.12 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4433])).
% 55.93/56.12 tff(4435,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[3654])).
% 55.93/56.12 tff(4436,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4435])).
% 55.93/56.12 tff(4437,plain,
% 55.93/56.12 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))),
% 55.93/56.12 inference(symmetry,[status(thm)],[3629])).
% 55.93/56.12 tff(4438,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4437])).
% 55.93/56.12 tff(4439,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4438])).
% 55.93/56.12 tff(4440,plain,
% 55.93/56.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.93/56.12 inference(quant_inst,[status(thm)],[])).
% 55.93/56.12 tff(4441,plain,
% 55.93/56.12 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.93/56.12 inference(unit_resolution,[status(thm)],[4440, 7])).
% 55.93/56.12 tff(4442,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[3628])).
% 55.93/56.12 tff(4443,plain,
% 55.93/56.12 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4442])).
% 55.93/56.12 tff(4444,plain,
% 55.93/56.12 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4443])).
% 55.93/56.12 tff(4445,plain,
% 55.93/56.12 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 55.93/56.12 inference(transitivity,[status(thm)],[4444, 4441, 4439, 4436])).
% 55.93/56.12 tff(4446,plain,
% 55.93/56.12 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[4445])).
% 55.93/56.12 tff(4447,plain,
% 55.93/56.12 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4446])).
% 55.93/56.12 tff(4448,plain,
% 55.93/56.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 55.93/56.12 inference(quant_inst,[status(thm)],[])).
% 55.93/56.12 tff(4449,plain,
% 55.93/56.12 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(unit_resolution,[status(thm)],[4448, 7])).
% 55.93/56.12 tff(4450,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4449])).
% 55.93/56.12 tff(4451,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[3655])).
% 55.93/56.12 tff(4452,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4451])).
% 55.93/56.12 tff(4453,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(monotonicity,[status(thm)],[3634])).
% 55.93/56.12 tff(4454,plain,
% 55.93/56.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.93/56.12 inference(quant_inst,[status(thm)],[])).
% 55.93/56.12 tff(4455,plain,
% 55.93/56.12 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.93/56.12 inference(unit_resolution,[status(thm)],[4454, 7])).
% 55.93/56.12 tff(4456,plain,
% 55.93/56.12 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.93/56.12 inference(symmetry,[status(thm)],[4455])).
% 55.93/56.12 tff(4457,plain,
% 55.93/56.12 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.93/56.12 inference(transitivity,[status(thm)],[4456, 4453, 4452, 4450, 4447])).
% 55.93/56.12 tff(4458,plain,
% 55.93/56.12 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4457])).
% 55.97/56.13 tff(4459,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.13 inference(quant_inst,[status(thm)],[])).
% 55.97/56.13 tff(4460,plain,
% 55.97/56.13 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.13 inference(unit_resolution,[status(thm)],[4459, 7])).
% 55.97/56.13 tff(4461,plain,
% 55.97/56.13 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4442])).
% 55.97/56.13 tff(4462,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.13 inference(quant_inst,[status(thm)],[])).
% 55.97/56.13 tff(4463,plain,
% 55.97/56.13 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.97/56.13 inference(unit_resolution,[status(thm)],[4462, 7])).
% 55.97/56.13 tff(4464,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 55.97/56.13 inference(symmetry,[status(thm)],[4463])).
% 55.97/56.13 tff(4465,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.13 inference(transitivity,[status(thm)],[4464, 4461])).
% 55.97/56.13 tff(4466,plain,
% 55.97/56.13 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4465])).
% 55.97/56.13 tff(4467,plain,
% 55.97/56.13 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.13 inference(symmetry,[status(thm)],[4466])).
% 55.97/56.13 tff(4468,plain,
% 55.97/56.13 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4467])).
% 55.97/56.13 tff(4469,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.13 inference(quant_inst,[status(thm)],[])).
% 55.97/56.13 tff(4470,plain,
% 55.97/56.13 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.13 inference(unit_resolution,[status(thm)],[4469, 7])).
% 55.97/56.13 tff(4471,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.13 inference(symmetry,[status(thm)],[4470])).
% 55.97/56.13 tff(4472,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.13 inference(transitivity,[status(thm)],[4471, 4466])).
% 55.97/56.13 tff(4473,plain,
% 55.97/56.13 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4472])).
% 55.97/56.13 tff(4474,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.13 inference(quant_inst,[status(thm)],[])).
% 55.97/56.13 tff(4475,plain,
% 55.97/56.13 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.13 inference(unit_resolution,[status(thm)],[4474, 7])).
% 55.97/56.13 tff(4476,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.13 inference(symmetry,[status(thm)],[4475])).
% 55.97/56.13 tff(4477,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.13 inference(quant_inst,[status(thm)],[])).
% 55.97/56.13 tff(4478,plain,
% 55.97/56.13 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.13 inference(unit_resolution,[status(thm)],[4477, 7])).
% 55.97/56.13 tff(4479,plain,
% 55.97/56.13 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.13 inference(transitivity,[status(thm)],[3999, 4478])).
% 55.97/56.13 tff(4480,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4479])).
% 55.97/56.13 tff(4481,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[3707])).
% 55.97/56.13 tff(4482,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.13 inference(transitivity,[status(thm)],[4481, 4480, 4476, 4473, 4468, 4460, 4458])).
% 55.97/56.13 tff(4483,plain,
% 55.97/56.13 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4482])).
% 55.97/56.13 tff(4484,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.13 inference(quant_inst,[status(thm)],[])).
% 55.97/56.13 tff(4485,plain,
% 55.97/56.13 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.13 inference(unit_resolution,[status(thm)],[4484, 7])).
% 55.97/56.13 tff(4486,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.13 inference(symmetry,[status(thm)],[4485])).
% 55.97/56.13 tff(4487,plain,
% 55.97/56.13 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.13 inference(transitivity,[status(thm)],[4486, 4483])).
% 55.97/56.13 tff(4488,plain,
% 55.97/56.13 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4487])).
% 55.97/56.13 tff(4489,plain,
% 55.97/56.13 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.13 inference(symmetry,[status(thm)],[4488])).
% 55.97/56.13 tff(4490,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.13 inference(quant_inst,[status(thm)],[])).
% 55.97/56.13 tff(4491,plain,
% 55.97/56.13 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.13 inference(unit_resolution,[status(thm)],[4490, 7])).
% 55.97/56.13 tff(4492,plain,
% 55.97/56.13 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 55.97/56.13 inference(transitivity,[status(thm)],[4491, 4489, 4434, 4431, 4429])).
% 55.97/56.13 tff(4493,plain,
% 55.97/56.13 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 55.97/56.13 inference(monotonicity,[status(thm)],[4492])).
% 55.97/56.13 tff(4494,plain,
% 55.97/56.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4495,plain,
% 55.97/56.14 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4494, 7])).
% 55.97/56.14 tff(4496,plain,
% 55.97/56.14 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4495])).
% 55.97/56.14 tff(4497,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4498,plain,
% 55.97/56.14 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4497, 7])).
% 55.97/56.14 tff(4499,plain,
% 55.97/56.14 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4498])).
% 55.97/56.14 tff(4500,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4501,plain,
% 55.97/56.14 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4500, 7])).
% 55.97/56.14 tff(4502,plain,
% 55.97/56.14 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4501])).
% 55.97/56.14 tff(4503,plain,
% 55.97/56.14 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4502])).
% 55.97/56.14 tff(4504,plain,
% 55.97/56.14 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(transitivity,[status(thm)],[4503, 4499, 4496])).
% 55.97/56.14 tff(4505,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4504])).
% 55.97/56.14 tff(4506,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4507,plain,
% 55.97/56.14 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4506, 7])).
% 55.97/56.14 tff(4508,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4502])).
% 55.97/56.14 tff(4509,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4508])).
% 55.97/56.14 tff(4510,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4511,plain,
% 55.97/56.14 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4510, 7])).
% 55.97/56.14 tff(4512,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4513,plain,
% 55.97/56.14 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4512, 7])).
% 55.97/56.14 tff(4514,plain,
% 55.97/56.14 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4513])).
% 55.97/56.14 tff(4515,plain,
% 55.97/56.14 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4514])).
% 55.97/56.14 tff(4516,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4517,plain,
% 55.97/56.14 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4516, 7])).
% 55.97/56.14 tff(4518,plain,
% 55.97/56.14 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4517])).
% 55.97/56.14 tff(4519,plain,
% 55.97/56.14 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.14 inference(transitivity,[status(thm)],[4518, 4515])).
% 55.97/56.14 tff(4520,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4519])).
% 55.97/56.14 tff(4521,plain,
% 55.97/56.14 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4520])).
% 55.97/56.14 tff(4522,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4523,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4522, 7])).
% 55.97/56.14 tff(4524,plain,
% 55.97/56.14 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4519])).
% 55.97/56.14 tff(4525,plain,
% 55.97/56.14 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4524])).
% 55.97/56.14 tff(4526,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4525])).
% 55.97/56.14 tff(4527,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.14 inference(transitivity,[status(thm)],[4526, 4523, 4521])).
% 55.97/56.14 tff(4528,plain,
% 55.97/56.14 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4527])).
% 55.97/56.14 tff(4529,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4530,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4529, 7])).
% 55.97/56.14 tff(4531,plain,
% 55.97/56.14 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.14 inference(transitivity,[status(thm)],[4530, 4528])).
% 55.97/56.14 tff(4532,plain,
% 55.97/56.14 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(monotonicity,[status(thm)],[4531])).
% 55.97/56.14 tff(4533,plain,
% 55.97/56.14 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4532])).
% 55.97/56.14 tff(4534,plain,
% 55.97/56.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.14 inference(quant_inst,[status(thm)],[])).
% 55.97/56.14 tff(4535,plain,
% 55.97/56.14 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(unit_resolution,[status(thm)],[4534, 7])).
% 55.97/56.14 tff(4536,plain,
% 55.97/56.14 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(symmetry,[status(thm)],[4535])).
% 55.97/56.14 tff(4537,plain,
% 55.97/56.14 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.14 inference(transitivity,[status(thm)],[4536, 4533, 4511, 4509])).
% 55.97/56.14 tff(4538,plain,
% 55.97/56.14 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4537])).
% 55.97/56.15 tff(4539,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4540,plain,
% 55.97/56.15 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4539, 7])).
% 55.97/56.15 tff(4541,plain,
% 55.97/56.15 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4540])).
% 55.97/56.15 tff(4542,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4515])).
% 55.97/56.15 tff(4543,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4544,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4543, 7])).
% 55.97/56.15 tff(4545,plain,
% 55.97/56.15 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4513])).
% 55.97/56.15 tff(4546,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4545])).
% 55.97/56.15 tff(4547,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4546])).
% 55.97/56.15 tff(4548,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4547])).
% 55.97/56.15 tff(4549,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(transitivity,[status(thm)],[4548, 4544, 4542])).
% 55.97/56.15 tff(4550,plain,
% 55.97/56.15 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4549])).
% 55.97/56.15 tff(4551,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4552,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4551, 7])).
% 55.97/56.15 tff(4553,plain,
% 55.97/56.15 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4547])).
% 55.97/56.15 tff(4554,plain,
% 55.97/56.15 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4553])).
% 55.97/56.15 tff(4555,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4556,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4555, 7])).
% 55.97/56.15 tff(4557,plain,
% 55.97/56.15 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4513])).
% 55.97/56.15 tff(4558,plain,
% 55.97/56.15 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4557])).
% 55.97/56.15 tff(4559,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4558])).
% 55.97/56.15 tff(4560,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4559])).
% 55.97/56.15 tff(4561,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(transitivity,[status(thm)],[4560, 4556, 4554])).
% 55.97/56.15 tff(4562,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4561])).
% 55.97/56.15 tff(4563,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4465])).
% 55.97/56.15 tff(4564,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4565,plain,
% 55.97/56.15 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4564, 7])).
% 55.97/56.15 tff(4566,plain,
% 55.97/56.15 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4565])).
% 55.97/56.15 tff(4567,plain,
% 55.97/56.15 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.15 inference(transitivity,[status(thm)],[4566, 4563])).
% 55.97/56.15 tff(4568,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4567])).
% 55.97/56.15 tff(4569,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(transitivity,[status(thm)],[4568, 4562, 4552, 4550])).
% 55.97/56.15 tff(4570,plain,
% 55.97/56.15 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4569])).
% 55.97/56.15 tff(4571,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4572,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4571, 7])).
% 55.97/56.15 tff(4573,plain,
% 55.97/56.15 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4567])).
% 55.97/56.15 tff(4574,plain,
% 55.97/56.15 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4573])).
% 55.97/56.15 tff(4575,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4574])).
% 55.97/56.15 tff(4576,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.15 inference(transitivity,[status(thm)],[4575, 4572, 4570])).
% 55.97/56.15 tff(4577,plain,
% 55.97/56.15 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4576])).
% 55.97/56.15 tff(4578,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4579,plain,
% 55.97/56.15 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4578, 7])).
% 55.97/56.15 tff(4580,plain,
% 55.97/56.15 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4574])).
% 55.97/56.15 tff(4581,plain,
% 55.97/56.15 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.15 inference(symmetry,[status(thm)],[4580])).
% 55.97/56.15 tff(4582,plain,
% 55.97/56.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.97/56.15 inference(quant_inst,[status(thm)],[])).
% 55.97/56.15 tff(4583,plain,
% 55.97/56.15 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.15 inference(unit_resolution,[status(thm)],[4582, 7])).
% 55.97/56.15 tff(4584,plain,
% 55.97/56.15 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4567])).
% 55.97/56.15 tff(4585,plain,
% 55.97/56.15 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.15 inference(monotonicity,[status(thm)],[4584])).
% 55.97/56.15 tff(4586,plain,
% 55.97/56.15 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4585])).
% 55.97/56.16 tff(4587,plain,
% 55.97/56.16 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(transitivity,[status(thm)],[4586, 4583, 4581])).
% 55.97/56.16 tff(4588,plain,
% 55.97/56.16 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4587])).
% 55.97/56.16 tff(4589,plain,
% 55.97/56.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.16 inference(quant_inst,[status(thm)],[])).
% 55.97/56.16 tff(4590,plain,
% 55.97/56.16 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(unit_resolution,[status(thm)],[4589, 7])).
% 55.97/56.16 tff(4591,plain,
% 55.97/56.16 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4590])).
% 55.97/56.16 tff(4592,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4584])).
% 55.97/56.16 tff(4593,plain,
% 55.97/56.16 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4592])).
% 55.97/56.16 tff(4594,plain,
% 55.97/56.16 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4593])).
% 55.97/56.16 tff(4595,plain,
% 55.97/56.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.97/56.16 inference(quant_inst,[status(thm)],[])).
% 55.97/56.16 tff(4596,plain,
% 55.97/56.16 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(unit_resolution,[status(thm)],[4595, 7])).
% 55.97/56.16 tff(4597,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4596])).
% 55.97/56.16 tff(4598,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4569])).
% 55.97/56.16 tff(4599,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4598])).
% 55.97/56.16 tff(4600,plain,
% 55.97/56.16 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4526])).
% 55.97/56.16 tff(4601,plain,
% 55.97/56.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4523])).
% 55.97/56.16 tff(4602,plain,
% 55.97/56.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4521])).
% 55.97/56.16 tff(4603,plain,
% 55.97/56.16 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.16 inference(transitivity,[status(thm)],[4602, 4601, 4600])).
% 55.97/56.16 tff(4604,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4603])).
% 55.97/56.16 tff(4605,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4604])).
% 55.97/56.16 tff(4606,plain,
% 55.97/56.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(quant_inst,[status(thm)],[])).
% 55.97/56.16 tff(4607,plain,
% 55.97/56.16 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(unit_resolution,[status(thm)],[4606, 7])).
% 55.97/56.16 tff(4608,plain,
% 55.97/56.16 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(transitivity,[status(thm)],[4607, 4605, 4599, 4597, 4594])).
% 55.97/56.16 tff(4609,plain,
% 55.97/56.16 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4608])).
% 55.97/56.16 tff(4610,plain,
% 55.97/56.16 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(transitivity,[status(thm)],[4609, 4591, 4588, 4579, 4577])).
% 55.97/56.16 tff(4611,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4610])).
% 55.97/56.16 tff(4612,plain,
% 55.97/56.16 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4609])).
% 55.97/56.16 tff(4613,plain,
% 55.97/56.16 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(transitivity,[status(thm)],[4590, 4612])).
% 55.97/56.16 tff(4614,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4613])).
% 55.97/56.16 tff(4615,plain,
% 55.97/56.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.97/56.16 inference(quant_inst,[status(thm)],[])).
% 55.97/56.16 tff(4616,plain,
% 55.97/56.16 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.16 inference(unit_resolution,[status(thm)],[4615, 7])).
% 55.97/56.16 tff(4617,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4587])).
% 55.97/56.16 tff(4618,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4617])).
% 55.97/56.16 tff(4619,plain,
% 55.97/56.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.16 inference(quant_inst,[status(thm)],[])).
% 55.97/56.16 tff(4620,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.16 inference(unit_resolution,[status(thm)],[4619, 7])).
% 55.97/56.16 tff(4621,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4567])).
% 55.97/56.16 tff(4622,plain,
% 55.97/56.16 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4621])).
% 55.97/56.16 tff(4623,plain,
% 55.97/56.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 55.97/56.16 inference(quant_inst,[status(thm)],[])).
% 55.97/56.16 tff(4624,plain,
% 55.97/56.16 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(unit_resolution,[status(thm)],[4623, 7])).
% 55.97/56.16 tff(4625,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(symmetry,[status(thm)],[4624])).
% 55.97/56.16 tff(4626,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.16 inference(monotonicity,[status(thm)],[4574])).
% 55.97/56.16 tff(4627,plain,
% 55.97/56.16 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.16 inference(transitivity,[status(thm)],[4626, 4625, 4622])).
% 55.97/56.16 tff(4628,plain,
% 55.97/56.16 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(monotonicity,[status(thm)],[4627])).
% 55.97/56.17 tff(4629,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4628])).
% 55.97/56.17 tff(4630,plain,
% 55.97/56.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.17 inference(quant_inst,[status(thm)],[])).
% 55.97/56.17 tff(4631,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(unit_resolution,[status(thm)],[4630, 7])).
% 55.97/56.17 tff(4632,plain,
% 55.97/56.17 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4631])).
% 55.97/56.17 tff(4633,plain,
% 55.97/56.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(quant_inst,[status(thm)],[])).
% 55.97/56.17 tff(4634,plain,
% 55.97/56.17 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.17 inference(unit_resolution,[status(thm)],[4633, 7])).
% 55.97/56.17 tff(4635,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4634])).
% 55.97/56.17 tff(4636,plain,
% 55.97/56.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.17 inference(quant_inst,[status(thm)],[])).
% 55.97/56.17 tff(4637,plain,
% 55.97/56.17 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.17 inference(unit_resolution,[status(thm)],[4636, 7])).
% 55.97/56.17 tff(4638,plain,
% 55.97/56.17 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4556])).
% 55.97/56.17 tff(4639,plain,
% 55.97/56.17 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.17 inference(transitivity,[status(thm)],[4553, 4638, 4559])).
% 55.97/56.17 tff(4640,plain,
% 55.97/56.17 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.17 inference(monotonicity,[status(thm)],[4639])).
% 55.97/56.17 tff(4641,plain,
% 55.97/56.17 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4640])).
% 55.97/56.17 tff(4642,plain,
% 55.97/56.17 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.17 inference(transitivity,[status(thm)],[4641, 4637])).
% 55.97/56.17 tff(4643,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.17 inference(monotonicity,[status(thm)],[4642])).
% 55.97/56.17 tff(4644,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.17 inference(transitivity,[status(thm)],[4643, 4635])).
% 55.97/56.17 tff(4645,plain,
% 55.97/56.17 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(monotonicity,[status(thm)],[4644])).
% 55.97/56.17 tff(4646,plain,
% 55.97/56.17 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4645])).
% 55.97/56.17 tff(4647,plain,
% 55.97/56.17 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(transitivity,[status(thm)],[4646, 4632, 4629, 4620, 4618])).
% 55.97/56.17 tff(4648,plain,
% 55.97/56.17 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.17 inference(monotonicity,[status(thm)],[4647])).
% 55.97/56.17 tff(4649,plain,
% 55.97/56.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.17 inference(quant_inst,[status(thm)],[])).
% 55.97/56.17 tff(4650,plain,
% 55.97/56.17 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.17 inference(unit_resolution,[status(thm)],[4649, 7])).
% 55.97/56.17 tff(4651,plain,
% 55.97/56.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.17 inference(quant_inst,[status(thm)],[])).
% 55.97/56.17 tff(4652,plain,
% 55.97/56.17 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.17 inference(unit_resolution,[status(thm)],[4651, 7])).
% 55.97/56.17 tff(4653,plain,
% 55.97/56.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.17 inference(quant_inst,[status(thm)],[])).
% 55.97/56.17 tff(4654,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.17 inference(unit_resolution,[status(thm)],[4653, 7])).
% 55.97/56.17 tff(4655,plain,
% 55.97/56.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.17 inference(quant_inst,[status(thm)],[])).
% 55.97/56.17 tff(4656,plain,
% 55.97/56.17 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.17 inference(unit_resolution,[status(thm)],[4655, 7])).
% 55.97/56.17 tff(4657,plain,
% 55.97/56.17 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4656])).
% 55.97/56.17 tff(4658,plain,
% 55.97/56.17 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.17 inference(transitivity,[status(thm)],[4657, 4546])).
% 55.97/56.17 tff(4659,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.17 inference(monotonicity,[status(thm)],[4658])).
% 55.97/56.17 tff(4660,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.17 inference(symmetry,[status(thm)],[4659])).
% 55.97/56.17 tff(4661,plain,
% 55.97/56.17 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.17 inference(transitivity,[status(thm)],[4660, 4654])).
% 55.97/56.17 tff(4662,plain,
% 55.97/56.17 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.17 inference(monotonicity,[status(thm)],[4661])).
% 55.97/56.17 tff(4663,plain,
% 55.97/56.17 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(transitivity,[status(thm)],[4662, 4652])).
% 55.97/56.18 tff(4664,plain,
% 55.97/56.18 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4663])).
% 55.97/56.18 tff(4665,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4666,plain,
% 55.97/56.18 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4665, 7])).
% 55.97/56.18 tff(4667,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4666])).
% 55.97/56.18 tff(4668,plain,
% 55.97/56.18 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4667])).
% 55.97/56.18 tff(4669,plain,
% 55.97/56.18 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(transitivity,[status(thm)],[4668, 4664, 4650])).
% 55.97/56.18 tff(4670,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4669])).
% 55.97/56.18 tff(4671,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4670])).
% 55.97/56.18 tff(4672,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4673,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4672, 7])).
% 55.97/56.18 tff(4674,plain,
% 55.97/56.18 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4673])).
% 55.97/56.18 tff(4675,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4676,plain,
% 55.97/56.18 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4675, 7])).
% 55.97/56.18 tff(4677,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4678,plain,
% 55.97/56.18 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4677, 7])).
% 55.97/56.18 tff(4679,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4680,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4679, 7])).
% 55.97/56.18 tff(4681,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4682,plain,
% 55.97/56.18 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4681, 7])).
% 55.97/56.18 tff(4683,plain,
% 55.97/56.18 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4682])).
% 55.97/56.18 tff(4684,plain,
% 55.97/56.18 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 55.97/56.18 inference(transitivity,[status(thm)],[4683, 4558])).
% 55.97/56.18 tff(4685,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4684])).
% 55.97/56.18 tff(4686,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4685])).
% 55.97/56.18 tff(4687,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(transitivity,[status(thm)],[4686, 4680])).
% 55.97/56.18 tff(4688,plain,
% 55.97/56.18 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4687])).
% 55.97/56.18 tff(4689,plain,
% 55.97/56.18 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(transitivity,[status(thm)],[4688, 4678])).
% 55.97/56.18 tff(4690,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4689])).
% 55.97/56.18 tff(4691,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4690])).
% 55.97/56.18 tff(4692,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4693,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4692, 7])).
% 55.97/56.18 tff(4694,plain,
% 55.97/56.18 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4693])).
% 55.97/56.18 tff(4695,plain,
% 55.97/56.18 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(transitivity,[status(thm)],[4694, 4691])).
% 55.97/56.18 tff(4696,plain,
% 55.97/56.18 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4695])).
% 55.97/56.18 tff(4697,plain,
% 55.97/56.18 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4696])).
% 55.97/56.18 tff(4698,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4699,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4698, 7])).
% 55.97/56.18 tff(4700,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4557])).
% 55.97/56.18 tff(4701,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4700])).
% 55.97/56.18 tff(4702,plain,
% 55.97/56.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(quant_inst,[status(thm)],[])).
% 55.97/56.18 tff(4703,plain,
% 55.97/56.18 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(unit_resolution,[status(thm)],[4702, 7])).
% 55.97/56.18 tff(4704,plain,
% 55.97/56.18 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4703])).
% 55.97/56.18 tff(4705,plain,
% 55.97/56.18 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.18 inference(transitivity,[status(thm)],[4704, 4701])).
% 55.97/56.18 tff(4706,plain,
% 55.97/56.18 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4705])).
% 55.97/56.18 tff(4707,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(monotonicity,[status(thm)],[4706])).
% 55.97/56.18 tff(4708,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.18 inference(symmetry,[status(thm)],[4707])).
% 55.97/56.18 tff(4709,plain,
% 55.97/56.18 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(transitivity,[status(thm)],[4708, 4699])).
% 55.97/56.19 tff(4710,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4709])).
% 55.97/56.19 tff(4711,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4710])).
% 55.97/56.19 tff(4712,plain,
% 55.97/56.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.19 inference(quant_inst,[status(thm)],[])).
% 55.97/56.19 tff(4713,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(unit_resolution,[status(thm)],[4712, 7])).
% 55.97/56.19 tff(4714,plain,
% 55.97/56.19 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4713])).
% 55.97/56.19 tff(4715,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4563])).
% 55.97/56.19 tff(4716,plain,
% 55.97/56.19 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4715])).
% 55.97/56.19 tff(4717,plain,
% 55.97/56.19 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4716])).
% 55.97/56.19 tff(4718,plain,
% 55.97/56.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 55.97/56.19 inference(quant_inst,[status(thm)],[])).
% 55.97/56.19 tff(4719,plain,
% 55.97/56.19 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.19 inference(unit_resolution,[status(thm)],[4718, 7])).
% 55.97/56.19 tff(4720,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4719])).
% 55.97/56.19 tff(4721,plain,
% 55.97/56.19 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.19 inference(transitivity,[status(thm)],[4466, 4700, 4703])).
% 55.97/56.19 tff(4722,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4721])).
% 55.97/56.19 tff(4723,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4722])).
% 55.97/56.19 tff(4724,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.19 inference(transitivity,[status(thm)],[4723, 4720, 4717])).
% 55.97/56.19 tff(4725,plain,
% 55.97/56.19 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4724])).
% 55.97/56.19 tff(4726,plain,
% 55.97/56.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(quant_inst,[status(thm)],[])).
% 55.97/56.19 tff(4727,plain,
% 55.97/56.19 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(unit_resolution,[status(thm)],[4726, 7])).
% 55.97/56.19 tff(4728,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4727])).
% 55.97/56.19 tff(4729,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(transitivity,[status(thm)],[4728, 4725])).
% 55.97/56.19 tff(4730,plain,
% 55.97/56.19 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4729])).
% 55.97/56.19 tff(4731,plain,
% 55.97/56.19 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4730])).
% 55.97/56.19 tff(4732,plain,
% 55.97/56.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.97/56.19 inference(quant_inst,[status(thm)],[])).
% 55.97/56.19 tff(4733,plain,
% 55.97/56.19 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.97/56.19 inference(unit_resolution,[status(thm)],[4732, 7])).
% 55.97/56.19 tff(4734,plain,
% 55.97/56.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.97/56.19 inference(quant_inst,[status(thm)],[])).
% 55.97/56.19 tff(4735,plain,
% 55.97/56.19 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))),
% 55.97/56.19 inference(unit_resolution,[status(thm)],[4734, 7])).
% 55.97/56.19 tff(4736,plain,
% 55.97/56.19 (sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4735])).
% 55.97/56.19 tff(4737,plain,
% 55.97/56.19 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4736])).
% 55.97/56.19 tff(4738,plain,
% 55.97/56.19 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4737])).
% 55.97/56.19 tff(4739,plain,
% 55.97/56.19 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4738])).
% 55.97/56.19 tff(4740,plain,
% 55.97/56.19 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))),
% 55.97/56.19 inference(transitivity,[status(thm)],[4739, 4733])).
% 55.97/56.19 tff(4741,plain,
% 55.97/56.19 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4740])).
% 55.97/56.19 tff(4742,plain,
% 55.97/56.19 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4741])).
% 55.97/56.19 tff(4743,plain,
% 55.97/56.19 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4742])).
% 55.97/56.19 tff(4744,plain,
% 55.97/56.19 (sep(lseg(x1, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[3953, 4743])).
% 55.97/56.19 tff(4745,plain,
% 55.97/56.19 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(quant_inst,[status(thm)],[])).
% 55.97/56.19 tff(4746,plain,
% 55.97/56.19 (sep(lseg(x1, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.19 inference(unit_resolution,[status(thm)],[4745, 500])).
% 55.97/56.19 tff(4747,plain,
% 55.97/56.19 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4746])).
% 55.97/56.19 tff(4748,plain,
% 55.97/56.19 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(transitivity,[status(thm)],[4742, 4747, 4744, 4674, 4671, 4646, 4632, 4629, 4620, 4618, 4731, 4714, 4711, 4697, 4676])).
% 55.97/56.19 tff(4749,plain,
% 55.97/56.19 (sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4748])).
% 55.97/56.19 tff(4750,plain,
% 55.97/56.19 (sep(lseg(x9, x1), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4749])).
% 55.97/56.19 tff(4751,plain,
% 55.97/56.19 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4620])).
% 55.97/56.19 tff(4752,plain,
% 55.97/56.19 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(symmetry,[status(thm)],[4676])).
% 55.97/56.19 tff(4753,plain,
% 55.97/56.19 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.19 inference(transitivity,[status(thm)],[4752, 4696, 4710, 4713, 4730, 4617, 4751, 4628, 4631, 4645])).
% 55.97/56.19 tff(4754,plain,
% 55.97/56.19 (sep(lseg(x9, x1), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.19 inference(monotonicity,[status(thm)],[4304, 4753])).
% 55.97/56.19 tff(4755,plain,
% 55.97/56.19 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.20 inference(symmetry,[status(thm)],[4754])).
% 55.97/56.20 tff(4756,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.20 inference(monotonicity,[status(thm)],[4647])).
% 55.97/56.20 tff(4757,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.20 inference(symmetry,[status(thm)],[4756])).
% 55.97/56.20 tff(4758,plain,
% 55.97/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 55.97/56.20 inference(quant_inst,[status(thm)],[])).
% 55.97/56.20 tff(4759,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.20 inference(unit_resolution,[status(thm)],[4758, 7])).
% 55.97/56.20 tff(4760,plain,
% 55.97/56.20 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.20 inference(symmetry,[status(thm)],[4759])).
% 55.97/56.20 tff(4761,plain,
% 55.97/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 55.97/56.20 inference(quant_inst,[status(thm)],[])).
% 55.97/56.20 tff(4762,plain,
% 55.97/56.20 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 55.97/56.20 inference(unit_resolution,[status(thm)],[4761, 7])).
% 55.97/56.20 tff(4763,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.20 inference(monotonicity,[status(thm)],[4547])).
% 55.97/56.20 tff(4764,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.20 inference(symmetry,[status(thm)],[4763])).
% 55.97/56.20 tff(4765,plain,
% 55.97/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.20 inference(quant_inst,[status(thm)],[])).
% 55.97/56.20 tff(4766,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.20 inference(unit_resolution,[status(thm)],[4765, 7])).
% 55.97/56.20 tff(4767,plain,
% 55.97/56.20 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 55.97/56.20 inference(symmetry,[status(thm)],[4766])).
% 55.97/56.20 tff(4768,plain,
% 55.97/56.20 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 55.97/56.20 inference(transitivity,[status(thm)],[4767, 4764])).
% 55.97/56.20 tff(4769,plain,
% 55.97/56.20 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.20 inference(monotonicity,[status(thm)],[4768])).
% 55.97/56.20 tff(4770,plain,
% 55.97/56.20 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.20 inference(symmetry,[status(thm)],[4769])).
% 55.97/56.20 tff(4771,plain,
% 55.97/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.20 inference(quant_inst,[status(thm)],[])).
% 55.97/56.20 tff(4772,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.20 inference(unit_resolution,[status(thm)],[4771, 7])).
% 55.97/56.20 tff(4773,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.20 inference(monotonicity,[status(thm)],[4639])).
% 55.97/56.20 tff(4774,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 55.97/56.20 inference(symmetry,[status(thm)],[4773])).
% 55.97/56.20 tff(4775,plain,
% 55.97/56.20 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 55.97/56.20 inference(transitivity,[status(thm)],[4774, 4772, 4770])).
% 55.97/56.20 tff(4776,plain,
% 55.97/56.20 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 55.97/56.20 inference(monotonicity,[status(thm)],[4775])).
% 55.97/56.20 tff(4777,plain,
% 55.97/56.20 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(symmetry,[status(thm)],[4776])).
% 56.04/56.20 tff(4778,plain,
% 56.04/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.20 inference(quant_inst,[status(thm)],[])).
% 56.04/56.20 tff(4779,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(unit_resolution,[status(thm)],[4778, 7])).
% 56.04/56.20 tff(4780,plain,
% 56.04/56.20 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.20 inference(monotonicity,[status(thm)],[4768])).
% 56.04/56.20 tff(4781,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(monotonicity,[status(thm)],[4780])).
% 56.04/56.20 tff(4782,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(symmetry,[status(thm)],[4781])).
% 56.04/56.20 tff(4783,plain,
% 56.04/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(quant_inst,[status(thm)],[])).
% 56.04/56.20 tff(4784,plain,
% 56.04/56.20 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.20 inference(unit_resolution,[status(thm)],[4783, 7])).
% 56.04/56.20 tff(4785,plain,
% 56.04/56.20 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.20 inference(symmetry,[status(thm)],[4780])).
% 56.04/56.20 tff(4786,plain,
% 56.04/56.20 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.20 inference(transitivity,[status(thm)],[4785, 4784])).
% 56.04/56.20 tff(4787,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(monotonicity,[status(thm)],[4786])).
% 56.04/56.20 tff(4788,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(symmetry,[status(thm)],[4787])).
% 56.04/56.20 tff(4789,plain,
% 56.04/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.20 inference(quant_inst,[status(thm)],[])).
% 56.04/56.20 tff(4790,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(unit_resolution,[status(thm)],[4789, 7])).
% 56.04/56.20 tff(4791,plain,
% 56.04/56.20 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(symmetry,[status(thm)],[4790])).
% 56.04/56.20 tff(4792,plain,
% 56.04/56.20 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.20 inference(monotonicity,[status(thm)],[4557])).
% 56.04/56.20 tff(4793,plain,
% 56.04/56.20 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.04/56.20 inference(symmetry,[status(thm)],[4792])).
% 56.04/56.20 tff(4794,plain,
% 56.04/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.20 inference(quant_inst,[status(thm)],[])).
% 56.04/56.20 tff(4795,plain,
% 56.04/56.20 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.20 inference(unit_resolution,[status(thm)],[4794, 7])).
% 56.04/56.20 tff(4796,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.20 inference(symmetry,[status(thm)],[4795])).
% 56.04/56.20 tff(4797,plain,
% 56.04/56.20 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.04/56.20 inference(transitivity,[status(thm)],[4796, 4793])).
% 56.04/56.20 tff(4798,plain,
% 56.04/56.20 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.20 inference(monotonicity,[status(thm)],[4797])).
% 56.04/56.20 tff(4799,plain,
% 56.04/56.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.20 inference(quant_inst,[status(thm)],[])).
% 56.04/56.20 tff(4800,plain,
% 56.04/56.20 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.20 inference(unit_resolution,[status(thm)],[4799, 7])).
% 56.04/56.20 tff(4801,plain,
% 56.04/56.21 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4800])).
% 56.04/56.21 tff(4802,plain,
% 56.04/56.21 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.21 inference(transitivity,[status(thm)],[4801, 4798])).
% 56.04/56.21 tff(4803,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4802])).
% 56.04/56.21 tff(4804,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4803])).
% 56.04/56.21 tff(4805,plain,
% 56.04/56.21 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 56.04/56.21 inference(transitivity,[status(thm)],[4464, 4461, 4557])).
% 56.04/56.21 tff(4806,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4805])).
% 56.04/56.21 tff(4807,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4806])).
% 56.04/56.21 tff(4808,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4807])).
% 56.04/56.21 tff(4809,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4808])).
% 56.04/56.21 tff(4810,plain,
% 56.04/56.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.04/56.21 inference(quant_inst,[status(thm)],[])).
% 56.04/56.21 tff(4811,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.04/56.21 inference(unit_resolution,[status(thm)],[4810, 7])).
% 56.04/56.21 tff(4812,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4465])).
% 56.04/56.21 tff(4813,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4812])).
% 56.04/56.21 tff(4814,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4813])).
% 56.04/56.21 tff(4815,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.21 inference(transitivity,[status(thm)],[4814, 4811, 4809])).
% 56.04/56.21 tff(4816,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4815])).
% 56.04/56.21 tff(4817,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4816])).
% 56.04/56.21 tff(4818,plain,
% 56.04/56.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.21 inference(quant_inst,[status(thm)],[])).
% 56.04/56.21 tff(4819,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(unit_resolution,[status(thm)],[4818, 7])).
% 56.04/56.21 tff(4820,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4819])).
% 56.04/56.21 tff(4821,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4563])).
% 56.04/56.21 tff(4822,plain,
% 56.04/56.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.04/56.21 inference(quant_inst,[status(thm)],[])).
% 56.04/56.21 tff(4823,plain,
% 56.04/56.21 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.04/56.21 inference(unit_resolution,[status(thm)],[4822, 7])).
% 56.04/56.21 tff(4824,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4823])).
% 56.04/56.21 tff(4825,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4807])).
% 56.04/56.21 tff(4826,plain,
% 56.04/56.21 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.21 inference(transitivity,[status(thm)],[4825, 4824, 4821])).
% 56.04/56.21 tff(4827,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4826])).
% 56.04/56.21 tff(4828,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4827])).
% 56.04/56.21 tff(4829,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.21 inference(transitivity,[status(thm)],[4828, 4820, 4817, 4804, 4791, 4788, 4782, 4779, 4777])).
% 56.04/56.21 tff(4830,plain,
% 56.04/56.21 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4829])).
% 56.04/56.21 tff(4831,plain,
% 56.04/56.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.21 inference(quant_inst,[status(thm)],[])).
% 56.04/56.21 tff(4832,plain,
% 56.04/56.21 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.21 inference(unit_resolution,[status(thm)],[4831, 7])).
% 56.04/56.21 tff(4833,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.21 inference(symmetry,[status(thm)],[4832])).
% 56.04/56.21 tff(4834,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.21 inference(monotonicity,[status(thm)],[4587])).
% 56.04/56.21 tff(4835,plain,
% 56.04/56.21 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(transitivity,[status(thm)],[4834, 4833, 4830, 4762])).
% 56.04/56.22 tff(4836,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4835])).
% 56.04/56.22 tff(4837,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4836])).
% 56.04/56.22 tff(4838,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(transitivity,[status(thm)],[4837, 4760, 4757, 4755, 4750, 4674, 4671])).
% 56.04/56.22 tff(4839,plain,
% 56.04/56.22 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4838])).
% 56.04/56.22 tff(4840,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4762])).
% 56.04/56.22 tff(4841,plain,
% 56.04/56.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.04/56.22 inference(quant_inst,[status(thm)],[])).
% 56.04/56.22 tff(4842,plain,
% 56.04/56.22 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.22 inference(unit_resolution,[status(thm)],[4841, 7])).
% 56.04/56.22 tff(4843,plain,
% 56.04/56.22 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4779])).
% 56.04/56.22 tff(4844,plain,
% 56.04/56.22 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(transitivity,[status(thm)],[4776, 4843, 4781, 4787, 4790, 4803, 4816, 4819, 4827])).
% 56.04/56.22 tff(4845,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4844])).
% 56.04/56.22 tff(4846,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4845])).
% 56.04/56.22 tff(4847,plain,
% 56.04/56.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.22 inference(quant_inst,[status(thm)],[])).
% 56.04/56.22 tff(4848,plain,
% 56.04/56.22 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(unit_resolution,[status(thm)],[4847, 7])).
% 56.04/56.22 tff(4849,plain,
% 56.04/56.22 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4627])).
% 56.04/56.22 tff(4850,plain,
% 56.04/56.22 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4849])).
% 56.04/56.22 tff(4851,plain,
% 56.04/56.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.22 inference(quant_inst,[status(thm)],[])).
% 56.04/56.22 tff(4852,plain,
% 56.04/56.22 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(unit_resolution,[status(thm)],[4851, 7])).
% 56.04/56.22 tff(4853,plain,
% 56.04/56.22 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4852])).
% 56.04/56.22 tff(4854,plain,
% 56.04/56.22 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4642])).
% 56.04/56.22 tff(4855,plain,
% 56.04/56.22 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4854])).
% 56.04/56.22 tff(4856,plain,
% 56.04/56.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(quant_inst,[status(thm)],[])).
% 56.04/56.22 tff(4857,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(unit_resolution,[status(thm)],[4856, 7])).
% 56.04/56.22 tff(4858,plain,
% 56.04/56.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(quant_inst,[status(thm)],[])).
% 56.04/56.22 tff(4859,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.22 inference(unit_resolution,[status(thm)],[4858, 7])).
% 56.04/56.22 tff(4860,plain,
% 56.04/56.22 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4859])).
% 56.04/56.22 tff(4861,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4860])).
% 56.04/56.22 tff(4862,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4861])).
% 56.04/56.22 tff(4863,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4768])).
% 56.04/56.22 tff(4864,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4863])).
% 56.04/56.22 tff(4865,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4864])).
% 56.04/56.22 tff(4866,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4865])).
% 56.04/56.22 tff(4867,plain,
% 56.04/56.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(quant_inst,[status(thm)],[])).
% 56.04/56.22 tff(4868,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(unit_resolution,[status(thm)],[4867, 7])).
% 56.04/56.22 tff(4869,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4868])).
% 56.04/56.22 tff(4870,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4772])).
% 56.04/56.22 tff(4871,plain,
% 56.04/56.22 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.22 inference(transitivity,[status(thm)],[4769, 4870, 4773])).
% 56.04/56.22 tff(4872,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4871])).
% 56.04/56.22 tff(4873,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(symmetry,[status(thm)],[4872])).
% 56.04/56.22 tff(4874,plain,
% 56.04/56.22 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.22 inference(transitivity,[status(thm)],[4873, 4869, 4866, 4862, 4857, 4855])).
% 56.04/56.22 tff(4875,plain,
% 56.04/56.22 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(monotonicity,[status(thm)],[4874])).
% 56.04/56.22 tff(4876,plain,
% 56.04/56.22 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.22 inference(transitivity,[status(thm)],[4875, 4853, 4850, 4848, 4846])).
% 56.04/56.22 tff(4877,plain,
% 56.04/56.22 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4876])).
% 56.04/56.23 tff(4878,plain,
% 56.04/56.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.04/56.23 inference(quant_inst,[status(thm)],[])).
% 56.04/56.23 tff(4879,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.23 inference(unit_resolution,[status(thm)],[4878, 7])).
% 56.04/56.23 tff(4880,plain,
% 56.04/56.23 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4879])).
% 56.04/56.23 tff(4881,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4857])).
% 56.04/56.23 tff(4882,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(transitivity,[status(thm)],[4854, 4881, 4861, 4865, 4868, 4872])).
% 56.04/56.23 tff(4883,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4882])).
% 56.04/56.23 tff(4884,plain,
% 56.04/56.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.23 inference(quant_inst,[status(thm)],[])).
% 56.04/56.23 tff(4885,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.23 inference(unit_resolution,[status(thm)],[4884, 7])).
% 56.04/56.23 tff(4886,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4643])).
% 56.04/56.23 tff(4887,plain,
% 56.04/56.23 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4668])).
% 56.04/56.23 tff(4888,plain,
% 56.04/56.23 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(transitivity,[status(thm)],[4887, 4634, 4886])).
% 56.04/56.23 tff(4889,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4888])).
% 56.04/56.23 tff(4890,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4547])).
% 56.04/56.23 tff(4891,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4890])).
% 56.04/56.23 tff(4892,plain,
% 56.04/56.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(quant_inst,[status(thm)],[])).
% 56.04/56.23 tff(4893,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.23 inference(unit_resolution,[status(thm)],[4892, 7])).
% 56.04/56.23 tff(4894,plain,
% 56.04/56.23 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4893])).
% 56.04/56.23 tff(4895,plain,
% 56.04/56.23 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.04/56.23 inference(transitivity,[status(thm)],[4894, 4891])).
% 56.04/56.23 tff(4896,plain,
% 56.04/56.23 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4895])).
% 56.04/56.23 tff(4897,plain,
% 56.04/56.23 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4896])).
% 56.04/56.23 tff(4898,plain,
% 56.04/56.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.23 inference(quant_inst,[status(thm)],[])).
% 56.04/56.23 tff(4899,plain,
% 56.04/56.23 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(unit_resolution,[status(thm)],[4898, 7])).
% 56.04/56.23 tff(4900,plain,
% 56.04/56.23 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4899])).
% 56.04/56.23 tff(4901,plain,
% 56.04/56.23 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4895])).
% 56.04/56.23 tff(4902,plain,
% 56.04/56.23 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4901])).
% 56.04/56.23 tff(4903,plain,
% 56.04/56.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(quant_inst,[status(thm)],[])).
% 56.04/56.23 tff(4904,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(unit_resolution,[status(thm)],[4903, 7])).
% 56.04/56.23 tff(4905,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4639])).
% 56.04/56.23 tff(4906,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4905])).
% 56.04/56.23 tff(4907,plain,
% 56.04/56.23 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.23 inference(transitivity,[status(thm)],[4906, 4904, 4902])).
% 56.04/56.23 tff(4908,plain,
% 56.04/56.23 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4907])).
% 56.04/56.23 tff(4909,plain,
% 56.04/56.23 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.23 inference(transitivity,[status(thm)],[4908, 4900, 4897])).
% 56.04/56.23 tff(4910,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4909])).
% 56.04/56.23 tff(4911,plain,
% 56.04/56.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.23 inference(quant_inst,[status(thm)],[])).
% 56.04/56.23 tff(4912,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.23 inference(unit_resolution,[status(thm)],[4911, 7])).
% 56.04/56.23 tff(4913,plain,
% 56.04/56.23 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.23 inference(symmetry,[status(thm)],[4912])).
% 56.04/56.23 tff(4914,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.04/56.23 inference(monotonicity,[status(thm)],[4592])).
% 56.04/56.23 tff(4915,plain,
% 56.04/56.23 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4914])).
% 56.04/56.24 tff(4916,plain,
% 56.04/56.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.04/56.24 inference(quant_inst,[status(thm)],[])).
% 56.04/56.24 tff(4917,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.04/56.24 inference(unit_resolution,[status(thm)],[4916, 7])).
% 56.04/56.24 tff(4918,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4567])).
% 56.04/56.24 tff(4919,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4918])).
% 56.04/56.24 tff(4920,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4919])).
% 56.04/56.24 tff(4921,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(transitivity,[status(thm)],[4920, 4917, 4915])).
% 56.04/56.24 tff(4922,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4921])).
% 56.04/56.24 tff(4923,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4871])).
% 56.04/56.24 tff(4924,plain,
% 56.04/56.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(quant_inst,[status(thm)],[])).
% 56.04/56.24 tff(4925,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(unit_resolution,[status(thm)],[4924, 7])).
% 56.04/56.24 tff(4926,plain,
% 56.04/56.24 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4925])).
% 56.04/56.24 tff(4927,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4768])).
% 56.04/56.24 tff(4928,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4927])).
% 56.04/56.24 tff(4929,plain,
% 56.04/56.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(quant_inst,[status(thm)],[])).
% 56.04/56.24 tff(4930,plain,
% 56.04/56.24 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(unit_resolution,[status(thm)],[4929, 7])).
% 56.04/56.24 tff(4931,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4930])).
% 56.04/56.24 tff(4932,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(transitivity,[status(thm)],[4931, 4928])).
% 56.04/56.24 tff(4933,plain,
% 56.04/56.24 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4932])).
% 56.04/56.24 tff(4934,plain,
% 56.04/56.24 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(transitivity,[status(thm)],[4933, 4926, 4923])).
% 56.04/56.24 tff(4935,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4934])).
% 56.04/56.24 tff(4936,plain,
% 56.04/56.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.24 inference(quant_inst,[status(thm)],[])).
% 56.04/56.24 tff(4937,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(unit_resolution,[status(thm)],[4936, 7])).
% 56.04/56.24 tff(4938,plain,
% 56.04/56.24 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4937])).
% 56.04/56.24 tff(4939,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4895])).
% 56.04/56.24 tff(4940,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4939])).
% 56.04/56.24 tff(4941,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4940])).
% 56.04/56.24 tff(4942,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4941])).
% 56.04/56.24 tff(4943,plain,
% 56.04/56.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(quant_inst,[status(thm)],[])).
% 56.04/56.24 tff(4944,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(unit_resolution,[status(thm)],[4943, 7])).
% 56.04/56.24 tff(4945,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4896])).
% 56.04/56.24 tff(4946,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4945])).
% 56.04/56.24 tff(4947,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(transitivity,[status(thm)],[4946, 4944, 4942])).
% 56.04/56.24 tff(4948,plain,
% 56.04/56.24 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4947])).
% 56.04/56.24 tff(4949,plain,
% 56.04/56.24 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4946])).
% 56.04/56.24 tff(4950,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(symmetry,[status(thm)],[4944])).
% 56.04/56.24 tff(4951,plain,
% 56.04/56.24 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.24 inference(transitivity,[status(thm)],[4950, 4949])).
% 56.04/56.24 tff(4952,plain,
% 56.04/56.24 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(monotonicity,[status(thm)],[4951])).
% 56.04/56.24 tff(4953,plain,
% 56.04/56.24 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.24 inference(transitivity,[status(thm)],[4952, 4948, 4938, 4935, 4922, 4913, 4910, 4889, 4885, 4883])).
% 56.04/56.24 tff(4954,plain,
% 56.04/56.25 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[3258, 4953])).
% 56.04/56.25 tff(4955,plain,
% 56.04/56.25 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4952])).
% 56.04/56.25 tff(4956,plain,
% 56.04/56.25 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4948])).
% 56.04/56.25 tff(4957,plain,
% 56.04/56.25 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4935])).
% 56.04/56.25 tff(4958,plain,
% 56.04/56.25 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4922])).
% 56.04/56.25 tff(4959,plain,
% 56.04/56.25 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4910])).
% 56.04/56.25 tff(4960,plain,
% 56.04/56.25 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4889])).
% 56.04/56.25 tff(4961,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4885])).
% 56.04/56.25 tff(4962,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4883])).
% 56.04/56.25 tff(4963,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(transitivity,[status(thm)],[4962, 4961, 4960, 4959, 4912, 4958, 4957, 4937, 4956, 4955])).
% 56.04/56.25 tff(4964,plain,
% 56.04/56.25 (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4963])).
% 56.04/56.25 tff(4965,plain,
% 56.04/56.25 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(quant_inst,[status(thm)],[])).
% 56.04/56.25 tff(4966,plain,
% 56.04/56.25 (sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(unit_resolution,[status(thm)],[4965, 500])).
% 56.04/56.25 tff(4967,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4966])).
% 56.04/56.25 tff(4968,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(transitivity,[status(thm)],[4967, 4964, 4954, 4880, 4877, 4842, 4840])).
% 56.04/56.25 tff(4969,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4968])).
% 56.04/56.25 tff(4970,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 56.04/56.25 inference(transitivity,[status(thm)],[4969, 4839, 4648, 4616, 4614, 4611, 4541, 4538, 4507, 4505, 4493, 4427, 4425, 4416, 4374, 4370, 4367, 4137, 4134, 4105, 4103, 4057, 4054])).
% 56.04/56.25 tff(4971,plain,
% 56.04/56.25 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x1), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4223, 4970])).
% 56.04/56.25 tff(4972,plain,
% 56.04/56.25 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(transitivity,[status(thm)],[4922, 4913, 4910, 4889, 4885, 4883])).
% 56.04/56.25 tff(4973,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4972])).
% 56.04/56.25 tff(4974,plain,
% 56.04/56.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.04/56.25 inference(quant_inst,[status(thm)],[])).
% 56.04/56.25 tff(4975,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(unit_resolution,[status(thm)],[4974, 7])).
% 56.04/56.25 tff(4976,plain,
% 56.04/56.25 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4975])).
% 56.04/56.25 tff(4977,plain,
% 56.04/56.25 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4933])).
% 56.04/56.25 tff(4978,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4923])).
% 56.04/56.25 tff(4979,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.25 inference(transitivity,[status(thm)],[4978, 4925, 4977])).
% 56.04/56.25 tff(4980,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4979])).
% 56.04/56.25 tff(4981,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(symmetry,[status(thm)],[4980])).
% 56.04/56.25 tff(4982,plain,
% 56.04/56.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.25 inference(quant_inst,[status(thm)],[])).
% 56.04/56.25 tff(4983,plain,
% 56.04/56.25 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(unit_resolution,[status(thm)],[4982, 7])).
% 56.04/56.25 tff(4984,plain,
% 56.04/56.25 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4549])).
% 56.04/56.25 tff(4985,plain,
% 56.04/56.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.25 inference(quant_inst,[status(thm)],[])).
% 56.04/56.25 tff(4986,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.25 inference(unit_resolution,[status(thm)],[4985, 7])).
% 56.04/56.25 tff(4987,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4895])).
% 56.04/56.25 tff(4988,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.25 inference(transitivity,[status(thm)],[4987, 4986, 4984])).
% 56.04/56.25 tff(4989,plain,
% 56.04/56.25 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4988])).
% 56.04/56.25 tff(4990,plain,
% 56.04/56.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.25 inference(quant_inst,[status(thm)],[])).
% 56.04/56.25 tff(4991,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.25 inference(unit_resolution,[status(thm)],[4990, 7])).
% 56.04/56.25 tff(4992,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.25 inference(monotonicity,[status(thm)],[4940])).
% 56.04/56.25 tff(4993,plain,
% 56.04/56.25 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(transitivity,[status(thm)],[4992, 4991, 4989])).
% 56.04/56.26 tff(4994,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[4993])).
% 56.04/56.26 tff(4995,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[4994])).
% 56.04/56.26 tff(4996,plain,
% 56.04/56.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.26 inference(quant_inst,[status(thm)],[])).
% 56.04/56.26 tff(4997,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(unit_resolution,[status(thm)],[4996, 7])).
% 56.04/56.26 tff(4998,plain,
% 56.04/56.26 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[4997])).
% 56.04/56.26 tff(4999,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[4525])).
% 56.04/56.26 tff(5000,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[4999])).
% 56.04/56.26 tff(5001,plain,
% 56.04/56.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(quant_inst,[status(thm)],[])).
% 56.04/56.26 tff(5002,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(unit_resolution,[status(thm)],[5001, 7])).
% 56.04/56.26 tff(5003,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[5002])).
% 56.04/56.26 tff(5004,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(transitivity,[status(thm)],[5003, 5000])).
% 56.04/56.26 tff(5005,plain,
% 56.04/56.26 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5004])).
% 56.04/56.26 tff(5006,plain,
% 56.04/56.26 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 56.04/56.26 inference(transitivity,[status(thm)],[4514, 4517])).
% 56.04/56.26 tff(5007,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5006])).
% 56.04/56.26 tff(5008,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[5007])).
% 56.04/56.26 tff(5009,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5008])).
% 56.04/56.26 tff(5010,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[5009])).
% 56.04/56.26 tff(5011,plain,
% 56.04/56.26 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5010])).
% 56.04/56.26 tff(5012,plain,
% 56.04/56.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(quant_inst,[status(thm)],[])).
% 56.04/56.26 tff(5013,plain,
% 56.04/56.26 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(unit_resolution,[status(thm)],[5012, 7])).
% 56.04/56.26 tff(5014,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[5013])).
% 56.04/56.26 tff(5015,plain,
% 56.04/56.26 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5008])).
% 56.04/56.26 tff(5016,plain,
% 56.04/56.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(quant_inst,[status(thm)],[])).
% 56.04/56.26 tff(5017,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(unit_resolution,[status(thm)],[5016, 7])).
% 56.04/56.26 tff(5018,plain,
% 56.04/56.26 (sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[4520])).
% 56.04/56.26 tff(5019,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5018])).
% 56.04/56.26 tff(5020,plain,
% 56.04/56.26 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.04/56.26 inference(transitivity,[status(thm)],[5019, 5017, 5015])).
% 56.04/56.26 tff(5021,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5020])).
% 56.04/56.26 tff(5022,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.26 inference(transitivity,[status(thm)],[5021, 5014, 5011, 5005])).
% 56.04/56.26 tff(5023,plain,
% 56.04/56.26 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5022])).
% 56.04/56.26 tff(5024,plain,
% 56.04/56.26 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(symmetry,[status(thm)],[5023])).
% 56.04/56.26 tff(5025,plain,
% 56.04/56.26 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(transitivity,[status(thm)],[5024, 4998, 4995, 4983, 4981])).
% 56.04/56.26 tff(5026,plain,
% 56.04/56.26 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5025])).
% 56.04/56.26 tff(5027,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(transitivity,[status(thm)],[4997, 5023])).
% 56.04/56.26 tff(5028,plain,
% 56.04/56.26 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5027])).
% 56.04/56.26 tff(5029,plain,
% 56.04/56.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.04/56.26 inference(quant_inst,[status(thm)],[])).
% 56.04/56.26 tff(5030,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.26 inference(unit_resolution,[status(thm)],[5029, 7])).
% 56.04/56.26 tff(5031,plain,
% 56.04/56.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.26 inference(quant_inst,[status(thm)],[])).
% 56.04/56.26 tff(5032,plain,
% 56.04/56.26 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.26 inference(unit_resolution,[status(thm)],[5031, 7])).
% 56.04/56.26 tff(5033,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.26 inference(monotonicity,[status(thm)],[5032])).
% 56.04/56.26 tff(5034,plain,
% 56.04/56.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.04/56.26 inference(quant_inst,[status(thm)],[])).
% 56.04/56.26 tff(5035,plain,
% 56.04/56.26 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.26 inference(unit_resolution,[status(thm)],[5034, 7])).
% 56.04/56.26 tff(5036,plain,
% 56.04/56.26 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.27 inference(symmetry,[status(thm)],[5035])).
% 56.04/56.27 tff(5037,plain,
% 56.04/56.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.27 inference(quant_inst,[status(thm)],[])).
% 56.04/56.27 tff(5038,plain,
% 56.04/56.27 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(unit_resolution,[status(thm)],[5037, 7])).
% 56.04/56.27 tff(5039,plain,
% 56.04/56.27 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(symmetry,[status(thm)],[5038])).
% 56.04/56.27 tff(5040,plain,
% 56.04/56.27 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[5022])).
% 56.04/56.27 tff(5041,plain,
% 56.04/56.27 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(symmetry,[status(thm)],[5040])).
% 56.04/56.27 tff(5042,plain,
% 56.04/56.27 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(transitivity,[status(thm)],[5041, 5039])).
% 56.04/56.27 tff(5043,plain,
% 56.04/56.27 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[5042])).
% 56.04/56.27 tff(5044,plain,
% 56.04/56.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(quant_inst,[status(thm)],[])).
% 56.04/56.27 tff(5045,plain,
% 56.04/56.27 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.27 inference(unit_resolution,[status(thm)],[5044, 7])).
% 56.04/56.27 tff(5046,plain,
% 56.04/56.27 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[5045])).
% 56.04/56.27 tff(5047,plain,
% 56.04/56.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.27 inference(quant_inst,[status(thm)],[])).
% 56.04/56.27 tff(5048,plain,
% 56.04/56.27 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(unit_resolution,[status(thm)],[5047, 7])).
% 56.04/56.27 tff(5049,plain,
% 56.04/56.27 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(symmetry,[status(thm)],[5048])).
% 56.04/56.27 tff(5050,plain,
% 56.04/56.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(quant_inst,[status(thm)],[])).
% 56.04/56.27 tff(5051,plain,
% 56.04/56.27 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.27 inference(unit_resolution,[status(thm)],[5050, 7])).
% 56.04/56.27 tff(5052,plain,
% 56.04/56.27 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.27 inference(symmetry,[status(thm)],[5051])).
% 56.04/56.27 tff(5053,plain,
% 56.04/56.27 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[5052])).
% 56.04/56.27 tff(5054,plain,
% 56.04/56.27 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[4569])).
% 56.04/56.27 tff(5055,plain,
% 56.04/56.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.04/56.27 inference(quant_inst,[status(thm)],[])).
% 56.04/56.27 tff(5056,plain,
% 56.04/56.27 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.04/56.27 inference(unit_resolution,[status(thm)],[5055, 7])).
% 56.04/56.27 tff(5057,plain,
% 56.04/56.27 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.04/56.27 inference(symmetry,[status(thm)],[4621])).
% 56.04/56.27 tff(5058,plain,
% 56.04/56.27 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[5057])).
% 56.04/56.27 tff(5059,plain,
% 56.04/56.27 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.27 inference(transitivity,[status(thm)],[5058, 5056, 5054])).
% 56.04/56.27 tff(5060,plain,
% 56.04/56.27 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[5059])).
% 56.04/56.27 tff(5061,plain,
% 56.04/56.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.27 inference(quant_inst,[status(thm)],[])).
% 56.04/56.27 tff(5062,plain,
% 56.04/56.27 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(unit_resolution,[status(thm)],[5061, 7])).
% 56.04/56.27 tff(5063,plain,
% 56.04/56.27 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[4888])).
% 56.04/56.27 tff(5064,plain,
% 56.04/56.27 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.27 inference(transitivity,[status(thm)],[4635, 4668])).
% 56.04/56.27 tff(5065,plain,
% 56.04/56.27 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(monotonicity,[status(thm)],[5064])).
% 56.04/56.27 tff(5066,plain,
% 56.04/56.27 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.27 inference(transitivity,[status(thm)],[5065, 5063, 5062, 5060, 5053, 5049, 5046, 5038, 5040])).
% 56.04/56.28 tff(5067,plain,
% 56.04/56.28 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[4304, 5066])).
% 56.04/56.28 tff(5068,plain,
% 56.04/56.28 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5065])).
% 56.04/56.28 tff(5069,plain,
% 56.04/56.28 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5063])).
% 56.04/56.28 tff(5070,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5062])).
% 56.04/56.28 tff(5071,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5060])).
% 56.04/56.28 tff(5072,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5053])).
% 56.04/56.28 tff(5073,plain,
% 56.04/56.28 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5046])).
% 56.04/56.28 tff(5074,plain,
% 56.04/56.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 56.04/56.28 inference(quant_inst,[status(thm)],[])).
% 56.04/56.28 tff(5075,plain,
% 56.04/56.28 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))),
% 56.04/56.28 inference(unit_resolution,[status(thm)],[5074, 7])).
% 56.04/56.28 tff(5076,plain,
% 56.04/56.28 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5075])).
% 56.04/56.28 tff(5077,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5076])).
% 56.04/56.28 tff(5078,plain,
% 56.04/56.28 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5077])).
% 56.04/56.28 tff(5079,plain,
% 56.04/56.28 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5078])).
% 56.04/56.28 tff(5080,plain,
% 56.04/56.28 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5079])).
% 56.04/56.28 tff(5081,plain,
% 56.04/56.28 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5080])).
% 56.04/56.28 tff(5082,plain,
% 56.04/56.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.04/56.28 inference(quant_inst,[status(thm)],[])).
% 56.04/56.28 tff(5083,plain,
% 56.04/56.28 (sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.28 inference(unit_resolution,[status(thm)],[5082, 7])).
% 56.04/56.28 tff(5084,plain,
% 56.04/56.28 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[3720])).
% 56.04/56.28 tff(5085,plain,
% 56.04/56.28 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5084])).
% 56.04/56.28 tff(5086,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5085])).
% 56.04/56.28 tff(5087,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5086])).
% 56.04/56.28 tff(5088,plain,
% 56.04/56.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 56.04/56.28 inference(quant_inst,[status(thm)],[])).
% 56.04/56.28 tff(5089,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 56.04/56.28 inference(unit_resolution,[status(thm)],[5088, 7])).
% 56.04/56.28 tff(5090,plain,
% 56.04/56.28 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5089])).
% 56.04/56.28 tff(5091,plain,
% 56.04/56.28 (sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 56.04/56.28 inference(transitivity,[status(thm)],[5090, 5087])).
% 56.04/56.28 tff(5092,plain,
% 56.04/56.28 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5091])).
% 56.04/56.28 tff(5093,plain,
% 56.04/56.28 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5092])).
% 56.04/56.28 tff(5094,plain,
% 56.04/56.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))),
% 56.04/56.28 inference(quant_inst,[status(thm)],[])).
% 56.04/56.28 tff(5095,plain,
% 56.04/56.28 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 56.04/56.28 inference(unit_resolution,[status(thm)],[5094, 7])).
% 56.04/56.28 tff(5096,plain,
% 56.04/56.28 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5091])).
% 56.04/56.28 tff(5097,plain,
% 56.04/56.28 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 56.04/56.28 inference(symmetry,[status(thm)],[5096])).
% 56.04/56.28 tff(5098,plain,
% 56.04/56.28 (sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5077])).
% 56.04/56.28 tff(5099,plain,
% 56.04/56.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.04/56.28 inference(quant_inst,[status(thm)],[])).
% 56.04/56.28 tff(5100,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.04/56.28 inference(unit_resolution,[status(thm)],[5099, 7])).
% 56.04/56.28 tff(5101,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 56.04/56.28 inference(transitivity,[status(thm)],[5007, 5100, 5098, 5097])).
% 56.04/56.28 tff(5102,plain,
% 56.04/56.28 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5101])).
% 56.04/56.28 tff(5103,plain,
% 56.04/56.28 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 56.04/56.28 inference(transitivity,[status(thm)],[4999, 5002, 5009, 5102, 5095, 5093])).
% 56.04/56.28 tff(5104,plain,
% 56.04/56.28 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.04/56.28 inference(monotonicity,[status(thm)],[5103])).
% 56.04/56.28 tff(5105,plain,
% 56.04/56.28 (sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.28 inference(transitivity,[status(thm)],[5104, 5083, 5081])).
% 56.12/56.28 tff(5106,plain,
% 56.12/56.28 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.28 inference(monotonicity,[status(thm)],[5105])).
% 56.12/56.28 tff(5107,plain,
% 56.12/56.28 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.28 inference(symmetry,[status(thm)],[5106])).
% 56.12/56.28 tff(5108,plain,
% 56.12/56.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.28 inference(quant_inst,[status(thm)],[])).
% 56.12/56.28 tff(5109,plain,
% 56.12/56.28 (sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.28 inference(unit_resolution,[status(thm)],[5108, 7])).
% 56.12/56.28 tff(5110,plain,
% 56.12/56.28 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.28 inference(symmetry,[status(thm)],[5109])).
% 56.12/56.28 tff(5111,plain,
% 56.12/56.28 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.28 inference(monotonicity,[status(thm)],[3953])).
% 56.12/56.28 tff(5112,plain,
% 56.12/56.28 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.28 inference(quant_inst,[status(thm)],[])).
% 56.12/56.28 tff(5113,plain,
% 56.12/56.28 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.28 inference(unit_resolution,[status(thm)],[5112, 500])).
% 56.12/56.28 tff(5114,plain,
% 56.12/56.28 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.28 inference(symmetry,[status(thm)],[5113])).
% 56.12/56.28 tff(5115,plain,
% 56.12/56.28 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.29 inference(transitivity,[status(thm)],[5114, 5111, 5110, 5107, 5041, 5039, 5073, 5048, 5072, 5071, 5070, 5069, 5068])).
% 56.12/56.29 tff(5116,plain,
% 56.12/56.29 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[5115])).
% 56.12/56.29 tff(5117,plain,
% 56.12/56.29 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.29 inference(transitivity,[status(thm)],[5065, 5063, 5062, 5060, 5053, 5049, 5046, 5038, 5040, 5106, 5109, 5116, 5067, 5043, 5036, 5033, 5030, 5028, 5026, 4976, 4973])).
% 56.12/56.29 tff(5118,plain,
% 56.12/56.29 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[5117])).
% 56.12/56.29 tff(5119,plain,
% 56.12/56.29 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.29 inference(transitivity,[status(thm)],[5118, 4971, 4225, 3993])).
% 56.12/56.29 tff(5120,plain,
% 56.12/56.29 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[5119])).
% 56.12/56.29 tff(5121,plain,
% 56.12/56.29 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) <=> heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.29 inference(transitivity,[status(thm)],[5120, 4364, 3802, 3767])).
% 56.12/56.29 tff(5122,plain,
% 56.12/56.29 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.29 inference(symmetry,[status(thm)],[5118])).
% 56.12/56.29 tff(5123,plain,
% 56.12/56.29 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.29 inference(symmetry,[status(thm)],[4969])).
% 56.12/56.29 tff(5124,plain,
% 56.12/56.29 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.29 inference(symmetry,[status(thm)],[4839])).
% 56.12/56.29 tff(5125,plain,
% 56.12/56.29 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.29 inference(transitivity,[status(thm)],[5124, 5123])).
% 56.12/56.29 tff(5126,plain,
% 56.12/56.29 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[5125])).
% 56.12/56.29 tff(5127,plain,
% 56.12/56.29 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.29 inference(transitivity,[status(thm)],[5126, 5122])).
% 56.12/56.29 tff(5128,plain,
% 56.12/56.29 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) <=> heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[5127])).
% 56.12/56.29 tff(5129,plain,
% 56.12/56.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.29 inference(quant_inst,[status(thm)],[])).
% 56.12/56.29 tff(5130,plain,
% 56.12/56.29 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.29 inference(unit_resolution,[status(thm)],[5129, 7])).
% 56.12/56.29 tff(5131,plain,
% 56.12/56.29 (sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.29 inference(symmetry,[status(thm)],[963])).
% 56.12/56.29 tff(5132,plain,
% 56.12/56.29 (sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[5131])).
% 56.12/56.29 tff(5133,plain,
% 56.12/56.29 (sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.29 inference(transitivity,[status(thm)],[950, 5132, 5130])).
% 56.12/56.29 tff(5134,plain,
% 56.12/56.29 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[5133])).
% 56.12/56.29 tff(5135,plain,
% 56.12/56.29 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.29 inference(symmetry,[status(thm)],[5134])).
% 56.12/56.29 tff(5136,plain,
% 56.12/56.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.29 inference(quant_inst,[status(thm)],[])).
% 56.12/56.29 tff(5137,plain,
% 56.12/56.29 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.29 inference(unit_resolution,[status(thm)],[5136, 7])).
% 56.12/56.29 tff(5138,plain,
% 56.12/56.29 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.29 inference(symmetry,[status(thm)],[5137])).
% 56.12/56.29 tff(5139,plain,
% 56.12/56.29 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.29 inference(monotonicity,[status(thm)],[1187])).
% 56.12/56.29 tff(5140,plain,
% 56.12/56.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.29 inference(quant_inst,[status(thm)],[])).
% 56.12/56.29 tff(5141,plain,
% 56.12/56.29 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.29 inference(unit_resolution,[status(thm)],[5140, 7])).
% 56.12/56.29 tff(5142,plain,
% 56.12/56.29 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5141])).
% 56.12/56.30 tff(5143,plain,
% 56.12/56.30 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5142, 5139, 13, 16])).
% 56.12/56.30 tff(5144,plain,
% 56.12/56.30 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5143])).
% 56.12/56.30 tff(5145,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5146,plain,
% 56.12/56.30 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5145, 7])).
% 56.12/56.30 tff(5147,plain,
% 56.12/56.30 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5146])).
% 56.12/56.30 tff(5148,plain,
% 56.12/56.30 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5147, 5144, 5138, 5135, 953, 936])).
% 56.12/56.30 tff(5149,plain,
% 56.12/56.30 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5148])).
% 56.12/56.30 tff(5150,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5151,plain,
% 56.12/56.30 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5150, 7])).
% 56.12/56.30 tff(5152,plain,
% 56.12/56.30 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5151])).
% 56.12/56.30 tff(5153,plain,
% 56.12/56.30 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5152, 5149])).
% 56.12/56.30 tff(5154,plain,
% 56.12/56.30 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5153])).
% 56.12/56.30 tff(5155,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5156,plain,
% 56.12/56.30 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5155, 7])).
% 56.12/56.30 tff(5157,plain,
% 56.12/56.30 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5156])).
% 56.12/56.30 tff(5158,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5159,plain,
% 56.12/56.30 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5158, 7])).
% 56.12/56.30 tff(5160,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5159])).
% 56.12/56.30 tff(5161,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5160, 762])).
% 56.12/56.30 tff(5162,plain,
% 56.12/56.30 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5161])).
% 56.12/56.30 tff(5163,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5164,plain,
% 56.12/56.30 (sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5163, 7])).
% 56.12/56.30 tff(5165,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5164])).
% 56.12/56.30 tff(5166,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5165, 5162])).
% 56.12/56.30 tff(5167,plain,
% 56.12/56.30 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5166])).
% 56.12/56.30 tff(5168,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5169,plain,
% 56.12/56.30 (sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5168, 7])).
% 56.12/56.30 tff(5170,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5169])).
% 56.12/56.30 tff(5171,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5170, 5167])).
% 56.12/56.30 tff(5172,plain,
% 56.12/56.30 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5171])).
% 56.12/56.30 tff(5173,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5174,plain,
% 56.12/56.30 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5173, 7])).
% 56.12/56.30 tff(5175,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5174])).
% 56.12/56.30 tff(5176,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5175, 5172])).
% 56.12/56.30 tff(5177,plain,
% 56.12/56.30 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5176])).
% 56.12/56.30 tff(5178,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5179,plain,
% 56.12/56.30 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5178, 7])).
% 56.12/56.30 tff(5180,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.30 inference(symmetry,[status(thm)],[5179])).
% 56.12/56.30 tff(5181,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.30 inference(transitivity,[status(thm)],[5180, 5177])).
% 56.12/56.30 tff(5182,plain,
% 56.12/56.30 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.30 inference(monotonicity,[status(thm)],[5181])).
% 56.12/56.30 tff(5183,plain,
% 56.12/56.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.30 inference(quant_inst,[status(thm)],[])).
% 56.12/56.30 tff(5184,plain,
% 56.12/56.30 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.30 inference(unit_resolution,[status(thm)],[5183, 7])).
% 56.12/56.30 tff(5185,plain,
% 56.12/56.30 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.31 inference(symmetry,[status(thm)],[5184])).
% 56.12/56.31 tff(5186,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.31 inference(transitivity,[status(thm)],[5185, 5182, 1732])).
% 56.12/56.31 tff(5187,plain,
% 56.12/56.31 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[5186])).
% 56.12/56.31 tff(5188,plain,
% 56.12/56.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.31 inference(quant_inst,[status(thm)],[])).
% 56.12/56.31 tff(5189,plain,
% 56.12/56.31 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.31 inference(unit_resolution,[status(thm)],[5188, 7])).
% 56.12/56.31 tff(5190,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.31 inference(symmetry,[status(thm)],[5189])).
% 56.12/56.31 tff(5191,plain,
% 56.12/56.31 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[4887])).
% 56.12/56.31 tff(5192,plain,
% 56.12/56.31 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.31 inference(symmetry,[status(thm)],[5191])).
% 56.12/56.31 tff(5193,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[5192])).
% 56.12/56.31 tff(5194,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.31 inference(transitivity,[status(thm)],[5193, 5190, 5187])).
% 56.12/56.31 tff(5195,plain,
% 56.12/56.31 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[5194])).
% 56.12/56.31 tff(5196,plain,
% 56.12/56.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))),
% 56.12/56.31 inference(quant_inst,[status(thm)],[])).
% 56.12/56.31 tff(5197,plain,
% 56.12/56.31 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.31 inference(unit_resolution,[status(thm)],[5196, 7])).
% 56.12/56.31 tff(5198,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.31 inference(symmetry,[status(thm)],[5197])).
% 56.12/56.31 tff(5199,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.31 inference(transitivity,[status(thm)],[5198, 5195, 923, 922, 920])).
% 56.12/56.31 tff(5200,plain,
% 56.12/56.31 (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[5199])).
% 56.12/56.31 tff(5201,plain,
% 56.12/56.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))),
% 56.12/56.31 inference(quant_inst,[status(thm)],[])).
% 56.12/56.31 tff(5202,plain,
% 56.12/56.31 (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))),
% 56.12/56.31 inference(unit_resolution,[status(thm)],[5201, 7])).
% 56.12/56.31 tff(5203,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) = sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))),
% 56.12/56.31 inference(symmetry,[status(thm)],[5202])).
% 56.12/56.31 tff(5204,plain,
% 56.12/56.31 (sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.31 inference(transitivity,[status(thm)],[5203, 5200, 5157, 5154, 2169, 2166, 2164])).
% 56.12/56.31 tff(5205,plain,
% 56.12/56.31 (heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[5204])).
% 56.12/56.31 tff(5206,plain,
% 56.12/56.31 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))),
% 56.12/56.31 inference(symmetry,[status(thm)],[5205])).
% 56.12/56.31 tff(5207,plain,
% 56.12/56.31 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[4304, 2229])).
% 56.12/56.31 tff(5208,plain,
% 56.12/56.31 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.31 inference(monotonicity,[status(thm)],[3953])).
% 56.12/56.31 tff(5209,plain,
% 56.12/56.31 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.31 inference(transitivity,[status(thm)],[2193, 5208, 2189, 2186, 2169, 2166, 2233, 2209, 2232, 2227])).
% 56.12/56.31 tff(5210,plain,
% 56.12/56.31 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.32 inference(monotonicity,[status(thm)],[5209])).
% 56.12/56.32 tff(5211,plain,
% 56.12/56.32 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.32 inference(transitivity,[status(thm)],[2163, 2236, 2168, 2185, 2188, 5210, 5207, 946, 943, 933])).
% 56.12/56.32 tff(5212,plain,
% 56.12/56.32 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.12/56.32 inference(monotonicity,[status(thm)],[5211])).
% 56.12/56.32 tff(5213,plain,
% 56.12/56.32 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.32 inference(symmetry,[status(thm)],[5212])).
% 56.12/56.32 tff(5214,plain,
% 56.12/56.32 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))),
% 56.12/56.32 inference(transitivity,[status(thm)],[5213, 5206])).
% 56.12/56.32 tff(5215,plain,
% 56.12/56.32 (heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))),
% 56.12/56.32 inference(modus_ponens,[status(thm)],[464, 5214])).
% 56.12/56.32 tff(5216,plain,
% 56.12/56.32 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x14) | heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x14) | heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))),
% 56.12/56.32 inference(rewrite,[status(thm)],[])).
% 56.12/56.32 tff(5217,plain,
% 56.12/56.32 ((heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (x9 = x14) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))))) <=> ((x9 = x14) | heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))),
% 56.12/56.32 inference(rewrite,[status(thm)],[])).
% 56.12/56.32 tff(5218,plain,
% 56.12/56.32 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (x9 = x14) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x14) | heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))))))),
% 56.12/56.32 inference(monotonicity,[status(thm)],[5217])).
% 56.12/56.32 tff(5219,plain,
% 56.12/56.32 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (x9 = x14) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x14) | heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))),
% 56.12/56.32 inference(transitivity,[status(thm)],[5218, 5216])).
% 56.12/56.32 tff(5220,plain,
% 56.12/56.32 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (x9 = x14) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))),
% 56.12/56.32 inference(quant_inst,[status(thm)],[])).
% 56.12/56.32 tff(5221,plain,
% 56.12/56.32 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x14) | heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))))),
% 56.12/56.32 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 56.12/56.32 tff(5222,plain,
% 56.12/56.32 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) | (~heap(sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))))),
% 56.12/56.32 inference(unit_resolution,[status(thm)],[5221, 2926, 468])).
% 56.12/56.32 tff(5223,plain,
% 56.12/56.32 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))),
% 56.12/56.32 inference(unit_resolution,[status(thm)],[5222, 5215])).
% 56.12/56.32 tff(5224,plain,
% 56.12/56.32 (heap(sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.32 inference(modus_ponens,[status(thm)],[5223, 5128])).
% 56.12/56.32 tff(5225,plain,
% 56.12/56.32 (heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.32 inference(modus_ponens,[status(thm)],[5224, 5121])).
% 56.12/56.32 tff(5226,plain,
% 56.12/56.32 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (x12 = x1) | (~heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x8) | (x12 = x1) | (~heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))))))),
% 56.12/56.32 inference(rewrite,[status(thm)],[])).
% 56.12/56.32 tff(5227,plain,
% 56.12/56.32 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (x12 = x1) | (~heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))))))),
% 56.12/56.32 inference(quant_inst,[status(thm)],[])).
% 56.12/56.32 tff(5228,plain,
% 56.12/56.32 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x8) | (x12 = x1) | (~heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))))),
% 56.12/56.32 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 56.12/56.32 tff(5229,plain,
% 56.12/56.32 ((x12 = x8) | (x12 = x1) | (~heap(sep(lseg(x12, x1), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))))),
% 56.12/56.32 inference(unit_resolution,[status(thm)],[5228, 478])).
% 56.12/56.32 tff(5230,plain,
% 56.12/56.32 ((x12 = x8) | (x12 = x1)),
% 56.12/56.32 inference(unit_resolution,[status(thm)],[5229, 5225])).
% 56.12/56.32 tff(5231,plain,
% 56.12/56.32 (x12 = x1),
% 56.12/56.32 inference(unit_resolution,[status(thm)],[5230, 3620])).
% 56.12/56.32 tff(5232,plain,
% 56.12/56.32 (x12 = x9),
% 56.12/56.32 inference(transitivity,[status(thm)],[5231, 3619])).
% 56.12/56.32 tff(5233,plain,
% 56.12/56.32 (lseg(x12, x14) = lseg(x9, x14)),
% 56.12/56.32 inference(monotonicity,[status(thm)],[5232])).
% 56.12/56.32 tff(5234,plain,
% 56.12/56.32 (sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.32 inference(monotonicity,[status(thm)],[5233, 3584])).
% 56.12/56.32 tff(5235,plain,
% 56.12/56.32 (sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.32 inference(transitivity,[status(thm)],[5234, 3413, 3410, 3369, 3295, 3293, 3187, 3184, 3172, 3135, 3132, 105, 102, 100, 86])).
% 56.12/56.32 tff(5236,plain,
% 56.12/56.32 (heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.32 inference(monotonicity,[status(thm)],[5235])).
% 56.12/56.32 tff(5237,plain,
% 56.12/56.32 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.32 inference(symmetry,[status(thm)],[5236])).
% 56.12/56.32 tff(5238,plain,
% 56.12/56.32 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.32 inference(monotonicity,[status(thm)],[3128])).
% 56.12/56.32 tff(5239,plain,
% 56.12/56.32 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.32 inference(symmetry,[status(thm)],[5238])).
% 56.12/56.32 tff(5240,plain,
% 56.12/56.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(quant_inst,[status(thm)],[])).
% 56.12/56.33 tff(5241,plain,
% 56.12/56.33 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(unit_resolution,[status(thm)],[5240, 7])).
% 56.12/56.33 tff(5242,plain,
% 56.12/56.33 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(symmetry,[status(thm)],[5241])).
% 56.12/56.33 tff(5243,plain,
% 56.12/56.33 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(quant_inst,[status(thm)],[])).
% 56.12/56.33 tff(5244,plain,
% 56.12/56.33 (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(unit_resolution,[status(thm)],[5243, 500])).
% 56.12/56.33 tff(5245,plain,
% 56.12/56.33 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(symmetry,[status(thm)],[38])).
% 56.12/56.33 tff(5246,plain,
% 56.12/56.33 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(transitivity,[status(thm)],[5242, 5239, 5245, 40])).
% 56.12/56.33 tff(5247,plain,
% 56.12/56.33 (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(monotonicity,[status(thm)],[5246])).
% 56.12/56.33 tff(5248,plain,
% 56.12/56.33 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(symmetry,[status(thm)],[5247])).
% 56.12/56.33 tff(5249,plain,
% 56.12/56.33 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(transitivity,[status(thm)],[41, 38])).
% 56.12/56.33 tff(5250,plain,
% 56.12/56.33 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(monotonicity,[status(thm)],[3258, 5249])).
% 56.12/56.33 tff(5251,plain,
% 56.12/56.33 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(symmetry,[status(thm)],[5250])).
% 56.12/56.33 tff(5252,plain,
% 56.12/56.33 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(transitivity,[status(thm)],[5242, 5239])).
% 56.12/56.33 tff(5253,plain,
% 56.12/56.33 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(monotonicity,[status(thm)],[5252])).
% 56.12/56.33 tff(5254,plain,
% 56.12/56.33 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.33 inference(transitivity,[status(thm)],[5253, 5251, 5248, 5244, 5242, 5239])).
% 56.12/56.33 tff(5255,plain,
% 56.12/56.33 (sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(monotonicity,[status(thm)],[5254])).
% 56.12/56.33 tff(5256,plain,
% 56.12/56.33 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(symmetry,[status(thm)],[5253])).
% 56.12/56.33 tff(5257,plain,
% 56.12/56.33 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(transitivity,[status(thm)],[3172, 3135, 3132, 105, 102, 100, 5256])).
% 56.12/56.33 tff(5258,plain,
% 56.12/56.33 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.33 inference(monotonicity,[status(thm)],[4346, 5257])).
% 56.12/56.33 tff(5259,plain,
% 56.12/56.33 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.33 inference(transitivity,[status(thm)],[4263, 4266, 5258, 5255, 86])).
% 56.12/56.33 tff(5260,plain,
% 56.12/56.33 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.33 inference(monotonicity,[status(thm)],[5259])).
% 56.12/56.33 tff(5261,plain,
% 56.12/56.33 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.33 inference(modus_ponens,[status(thm)],[464, 5260])).
% 56.12/56.33 tff(5262,plain,
% 56.12/56.33 (heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.33 inference(modus_ponens,[status(thm)],[5261, 5237])).
% 56.12/56.33 tff(5263,plain,
% 56.12/56.33 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) | (x12 = x14))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x8) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) | (x12 = x14))),
% 56.12/56.33 inference(rewrite,[status(thm)],[])).
% 56.12/56.33 tff(5264,plain,
% 56.12/56.33 (((x12 = x8) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))) <=> ((x12 = x8) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) | (x12 = x14))),
% 56.12/56.34 inference(rewrite,[status(thm)],[])).
% 56.12/56.34 tff(5265,plain,
% 56.12/56.34 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) | (x12 = x14)))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[5264])).
% 56.12/56.34 tff(5266,plain,
% 56.12/56.34 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x8) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) | (x12 = x14))),
% 56.12/56.34 inference(transitivity,[status(thm)],[5265, 5263])).
% 56.12/56.34 tff(5267,plain,
% 56.12/56.34 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 56.12/56.34 inference(quant_inst,[status(thm)],[])).
% 56.12/56.34 tff(5268,plain,
% 56.12/56.34 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x8) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) | (x12 = x14)),
% 56.12/56.34 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 56.12/56.34 tff(5269,plain,
% 56.12/56.34 ((~heap(sep(lseg(x12, x14), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) | (x12 = x14)),
% 56.12/56.34 inference(unit_resolution,[status(thm)],[5268, 478, 3620])).
% 56.12/56.34 tff(5270,plain,
% 56.12/56.34 ($false),
% 56.12/56.34 inference(unit_resolution,[status(thm)],[5269, 5262, 3123])).
% 56.12/56.34 tff(5271,plain,(x12 = x8), inference(lemma,lemma(discharge,[]))).
% 56.12/56.34 tff(5272,plain,
% 56.12/56.34 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[3141])).
% 56.12/56.34 tff(5273,plain,
% 56.12/56.34 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[5272])).
% 56.12/56.34 tff(5274,plain,
% 56.12/56.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.34 inference(quant_inst,[status(thm)],[])).
% 56.12/56.34 tff(5275,plain,
% 56.12/56.34 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(unit_resolution,[status(thm)],[5274, 7])).
% 56.12/56.34 tff(5276,plain,
% 56.12/56.34 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(symmetry,[status(thm)],[5275])).
% 56.12/56.34 tff(5277,plain,
% 56.12/56.34 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[3147])).
% 56.12/56.34 tff(5278,plain,
% 56.12/56.34 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[1192])).
% 56.12/56.34 tff(5279,plain,
% 56.12/56.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(quant_inst,[status(thm)],[])).
% 56.12/56.34 tff(5280,plain,
% 56.12/56.34 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(unit_resolution,[status(thm)],[5279, 7])).
% 56.12/56.34 tff(5281,plain,
% 56.12/56.34 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(symmetry,[status(thm)],[5280])).
% 56.12/56.34 tff(5282,plain,
% 56.12/56.34 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(transitivity,[status(thm)],[5281, 5278])).
% 56.12/56.34 tff(5283,plain,
% 56.12/56.34 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[5282])).
% 56.12/56.34 tff(5284,plain,
% 56.12/56.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.34 inference(quant_inst,[status(thm)],[])).
% 56.12/56.34 tff(5285,plain,
% 56.12/56.34 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(unit_resolution,[status(thm)],[5284, 7])).
% 56.12/56.34 tff(5286,plain,
% 56.12/56.34 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(symmetry,[status(thm)],[5285])).
% 56.12/56.34 tff(5287,plain,
% 56.12/56.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(quant_inst,[status(thm)],[])).
% 56.12/56.34 tff(5288,plain,
% 56.12/56.34 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.34 inference(unit_resolution,[status(thm)],[5287, 7])).
% 56.12/56.34 tff(5289,plain,
% 56.12/56.34 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[5288])).
% 56.12/56.34 tff(5290,plain,
% 56.12/56.34 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(symmetry,[status(thm)],[5289])).
% 56.12/56.34 tff(5291,plain,
% 56.12/56.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(quant_inst,[status(thm)],[])).
% 56.12/56.34 tff(5292,plain,
% 56.12/56.34 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(unit_resolution,[status(thm)],[5291, 7])).
% 56.12/56.34 tff(5293,plain,
% 56.12/56.34 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(transitivity,[status(thm)],[5292, 5290])).
% 56.12/56.34 tff(5294,plain,
% 56.12/56.34 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(transitivity,[status(thm)],[3588, 590, 3590, 3593, 308, 3597, 3602, 337, 3606])).
% 56.12/56.34 tff(5295,plain,
% 56.12/56.34 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(monotonicity,[status(thm)],[5294])).
% 56.12/56.34 tff(5296,plain,
% 56.12/56.34 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.34 inference(symmetry,[status(thm)],[5295])).
% 56.12/56.34 tff(5297,plain,
% 56.12/56.34 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x11), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(symmetry,[status(thm)],[362])).
% 56.12/56.34 tff(5298,plain,
% 56.12/56.34 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.34 inference(transitivity,[status(thm)],[359, 5297, 364])).
% 56.12/56.34 tff(5299,plain,
% 56.12/56.34 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5298])).
% 56.12/56.35 tff(5300,plain,
% 56.12/56.35 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[5299])).
% 56.12/56.35 tff(5301,plain,
% 56.12/56.35 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.35 inference(transitivity,[status(thm)],[3000, 389, 387, 5300, 352, 5296, 274])).
% 56.12/56.35 tff(5302,plain,
% 56.12/56.35 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5301])).
% 56.12/56.35 tff(5303,plain,
% 56.12/56.35 (sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.12/56.35 inference(transitivity,[status(thm)],[456, 453, 419, 5302])).
% 56.12/56.35 tff(5304,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5303])).
% 56.12/56.35 tff(5305,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.12/56.35 inference(transitivity,[status(thm)],[5304, 272, 269])).
% 56.12/56.35 tff(5306,plain,
% 56.12/56.35 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5305])).
% 56.12/56.35 tff(5307,plain,
% 56.12/56.35 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[5306])).
% 56.12/56.35 tff(5308,plain,
% 56.12/56.35 (heap(sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))))))),
% 56.12/56.35 inference(modus_ponens,[status(thm)],[464, 5307])).
% 56.12/56.35 tff(5309,plain,
% 56.12/56.35 (x9 = x1),
% 56.12/56.35 inference(unit_resolution,[status(thm)],[485, 5308])).
% 56.12/56.35 tff(5310,plain,
% 56.12/56.35 (lseg(x3, x9) = lseg(x3, x1)),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5309])).
% 56.12/56.35 tff(5311,plain,
% 56.12/56.35 (lseg(x3, x1) = lseg(x3, x9)),
% 56.12/56.35 inference(symmetry,[status(thm)],[5310])).
% 56.12/56.35 tff(5312,plain,
% 56.12/56.35 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5311, 5293])).
% 56.12/56.35 tff(5313,plain,
% 56.12/56.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.35 inference(quant_inst,[status(thm)],[])).
% 56.12/56.35 tff(5314,plain,
% 56.12/56.35 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(unit_resolution,[status(thm)],[5313, 7])).
% 56.12/56.35 tff(5315,plain,
% 56.12/56.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.35 inference(quant_inst,[status(thm)],[])).
% 56.12/56.35 tff(5316,plain,
% 56.12/56.35 (sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 56.12/56.35 inference(unit_resolution,[status(thm)],[5315, 7])).
% 56.12/56.35 tff(5317,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[5316])).
% 56.12/56.35 tff(5318,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.12/56.35 inference(transitivity,[status(thm)],[5317, 1225, 1219, 1216])).
% 56.12/56.35 tff(5319,plain,
% 56.12/56.35 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5318])).
% 56.12/56.35 tff(5320,plain,
% 56.12/56.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(quant_inst,[status(thm)],[])).
% 56.12/56.35 tff(5321,plain,
% 56.12/56.35 (sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.35 inference(unit_resolution,[status(thm)],[5320, 7])).
% 56.12/56.35 tff(5322,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[5321])).
% 56.12/56.35 tff(5323,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.35 inference(transitivity,[status(thm)],[5322, 5319])).
% 56.12/56.35 tff(5324,plain,
% 56.12/56.35 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5323])).
% 56.12/56.35 tff(5325,plain,
% 56.12/56.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.35 inference(quant_inst,[status(thm)],[])).
% 56.12/56.35 tff(5326,plain,
% 56.12/56.35 (sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(unit_resolution,[status(thm)],[5325, 7])).
% 56.12/56.35 tff(5327,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[5326])).
% 56.12/56.35 tff(5328,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(transitivity,[status(thm)],[5327, 5324, 5314])).
% 56.12/56.35 tff(5329,plain,
% 56.12/56.35 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5328])).
% 56.12/56.35 tff(5330,plain,
% 56.12/56.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.35 inference(quant_inst,[status(thm)],[])).
% 56.12/56.35 tff(5331,plain,
% 56.12/56.35 (sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.35 inference(unit_resolution,[status(thm)],[5330, 7])).
% 56.12/56.35 tff(5332,plain,
% 56.12/56.35 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[5331])).
% 56.12/56.35 tff(5333,plain,
% 56.12/56.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.35 inference(quant_inst,[status(thm)],[])).
% 56.12/56.35 tff(5334,plain,
% 56.12/56.35 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(unit_resolution,[status(thm)],[5333, 7])).
% 56.12/56.35 tff(5335,plain,
% 56.12/56.35 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[829])).
% 56.12/56.35 tff(5336,plain,
% 56.12/56.35 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.35 inference(monotonicity,[status(thm)],[5335])).
% 56.12/56.35 tff(5337,plain,
% 56.12/56.35 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.35 inference(symmetry,[status(thm)],[5336])).
% 56.12/56.35 tff(5338,plain,
% 56.12/56.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.35 inference(quant_inst,[status(thm)],[])).
% 56.12/56.36 tff(5339,plain,
% 56.12/56.36 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.36 inference(unit_resolution,[status(thm)],[5338, 7])).
% 56.12/56.36 tff(5340,plain,
% 56.12/56.36 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.36 inference(symmetry,[status(thm)],[5339])).
% 56.12/56.36 tff(5341,plain,
% 56.12/56.36 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.36 inference(transitivity,[status(thm)],[5340, 5337])).
% 56.12/56.36 tff(5342,plain,
% 56.12/56.36 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[5341])).
% 56.12/56.36 tff(5343,plain,
% 56.12/56.36 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.36 inference(symmetry,[status(thm)],[5342])).
% 56.12/56.36 tff(5344,plain,
% 56.12/56.36 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.36 inference(transitivity,[status(thm)],[5343, 5334])).
% 56.12/56.36 tff(5345,plain,
% 56.12/56.36 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[5344])).
% 56.12/56.36 tff(5346,plain,
% 56.12/56.36 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[3190])).
% 56.12/56.36 tff(5347,plain,
% 56.12/56.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.36 inference(quant_inst,[status(thm)],[])).
% 56.12/56.36 tff(5348,plain,
% 56.12/56.36 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.36 inference(unit_resolution,[status(thm)],[5347, 7])).
% 56.12/56.36 tff(5349,plain,
% 56.12/56.36 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.36 inference(symmetry,[status(thm)],[5348])).
% 56.12/56.36 tff(5350,plain,
% 56.12/56.36 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.36 inference(transitivity,[status(thm)],[5349, 5346])).
% 56.12/56.36 tff(5351,plain,
% 56.12/56.36 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[5350])).
% 56.12/56.36 tff(5352,plain,
% 56.12/56.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.36 inference(quant_inst,[status(thm)],[])).
% 56.12/56.36 tff(5353,plain,
% 56.12/56.36 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.36 inference(unit_resolution,[status(thm)],[5352, 7])).
% 56.12/56.36 tff(5354,plain,
% 56.12/56.36 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.36 inference(symmetry,[status(thm)],[5353])).
% 56.12/56.36 tff(5355,plain,
% 56.12/56.36 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.36 inference(transitivity,[status(thm)],[5354, 5351])).
% 56.12/56.36 tff(5356,plain,
% 56.12/56.36 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[5355])).
% 56.12/56.36 tff(5357,plain,
% 56.12/56.36 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.36 inference(transitivity,[status(thm)],[5356, 5345, 5332, 5329])).
% 56.12/56.36 tff(5358,plain,
% 56.12/56.36 (x1 = x9),
% 56.12/56.36 inference(symmetry,[status(thm)],[5309])).
% 56.12/56.36 tff(5359,plain,
% 56.12/56.36 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[5166])).
% 56.12/56.36 tff(5360,plain,
% 56.12/56.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.12/56.36 inference(quant_inst,[status(thm)],[])).
% 56.12/56.36 tff(5361,plain,
% 56.12/56.36 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.12/56.36 inference(unit_resolution,[status(thm)],[5360, 7])).
% 56.12/56.36 tff(5362,plain,
% 56.12/56.36 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.12/56.36 inference(symmetry,[status(thm)],[5361])).
% 56.12/56.36 tff(5363,plain,
% 56.12/56.36 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.12/56.36 inference(transitivity,[status(thm)],[5362, 5359])).
% 56.12/56.36 tff(5364,plain,
% 56.12/56.36 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[5363])).
% 56.12/56.36 tff(5365,plain,
% 56.12/56.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.36 inference(quant_inst,[status(thm)],[])).
% 56.12/56.36 tff(5366,plain,
% 56.12/56.36 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.12/56.36 inference(unit_resolution,[status(thm)],[5365, 7])).
% 56.12/56.36 tff(5367,plain,
% 56.12/56.36 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.12/56.36 inference(symmetry,[status(thm)],[5366])).
% 56.12/56.36 tff(5368,plain,
% 56.12/56.36 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.12/56.36 inference(transitivity,[status(thm)],[5367, 5364])).
% 56.12/56.36 tff(5369,plain,
% 56.12/56.36 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.36 inference(monotonicity,[status(thm)],[5368])).
% 56.12/56.36 tff(5370,plain,
% 56.12/56.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.36 inference(quant_inst,[status(thm)],[])).
% 56.12/56.36 tff(5371,plain,
% 56.12/56.36 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.36 inference(unit_resolution,[status(thm)],[5370, 7])).
% 56.12/56.36 tff(5372,plain,
% 56.12/56.36 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5371])).
% 56.12/56.37 tff(5373,plain,
% 56.12/56.37 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.12/56.37 inference(transitivity,[status(thm)],[5372, 5369])).
% 56.12/56.37 tff(5374,plain,
% 56.12/56.37 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.37 inference(monotonicity,[status(thm)],[5373])).
% 56.12/56.37 tff(5375,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5376,plain,
% 56.12/56.37 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5375, 7])).
% 56.12/56.37 tff(5377,plain,
% 56.12/56.37 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5376])).
% 56.12/56.37 tff(5378,plain,
% 56.12/56.37 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.12/56.37 inference(transitivity,[status(thm)],[5377, 5374])).
% 56.12/56.37 tff(5379,plain,
% 56.12/56.37 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.37 inference(monotonicity,[status(thm)],[5378])).
% 56.12/56.37 tff(5380,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5381,plain,
% 56.12/56.37 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5380, 7])).
% 56.12/56.37 tff(5382,plain,
% 56.12/56.37 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5381])).
% 56.12/56.37 tff(5383,plain,
% 56.12/56.37 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.12/56.37 inference(transitivity,[status(thm)],[5382, 5379])).
% 56.12/56.37 tff(5384,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.12/56.37 inference(monotonicity,[status(thm)],[5383])).
% 56.12/56.37 tff(5385,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5386,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5385, 7])).
% 56.12/56.37 tff(5387,plain,
% 56.12/56.37 (sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x3, x9), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5386])).
% 56.12/56.37 tff(5388,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5389,plain,
% 56.12/56.37 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5388, 7])).
% 56.12/56.37 tff(5390,plain,
% 56.12/56.37 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(monotonicity,[status(thm)],[5389])).
% 56.12/56.37 tff(5391,plain,
% 56.12/56.37 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5390])).
% 56.12/56.37 tff(5392,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5393,plain,
% 56.12/56.37 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5392, 7])).
% 56.12/56.37 tff(5394,plain,
% 56.12/56.37 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(transitivity,[status(thm)],[5393, 5391])).
% 56.12/56.37 tff(5395,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(monotonicity,[status(thm)],[5394])).
% 56.12/56.37 tff(5396,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5397,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5396, 7])).
% 56.12/56.37 tff(5398,plain,
% 56.12/56.37 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5397])).
% 56.12/56.37 tff(5399,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5400,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5399, 7])).
% 56.12/56.37 tff(5401,plain,
% 56.12/56.37 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5400])).
% 56.12/56.37 tff(5402,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5403,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5402, 7])).
% 56.12/56.37 tff(5404,plain,
% 56.12/56.37 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5403])).
% 56.12/56.37 tff(5405,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5406,plain,
% 56.12/56.37 (sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5405, 7])).
% 56.12/56.37 tff(5407,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))) = sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5406])).
% 56.12/56.37 tff(5408,plain,
% 56.12/56.37 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.12/56.37 inference(monotonicity,[status(thm)],[5407])).
% 56.12/56.37 tff(5409,plain,
% 56.12/56.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.12/56.37 inference(quant_inst,[status(thm)],[])).
% 56.12/56.37 tff(5410,plain,
% 56.12/56.37 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 56.12/56.37 inference(unit_resolution,[status(thm)],[5409, 7])).
% 56.12/56.37 tff(5411,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))),
% 56.12/56.37 inference(symmetry,[status(thm)],[5410])).
% 56.12/56.37 tff(5412,plain,
% 56.12/56.37 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.12/56.37 inference(transitivity,[status(thm)],[5411, 5408])).
% 56.12/56.37 tff(5413,plain,
% 56.12/56.37 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.12/56.38 inference(monotonicity,[status(thm)],[5412])).
% 56.12/56.38 tff(5414,plain,
% 56.12/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.12/56.38 inference(quant_inst,[status(thm)],[])).
% 56.12/56.38 tff(5415,plain,
% 56.12/56.38 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.12/56.38 inference(unit_resolution,[status(thm)],[5414, 7])).
% 56.12/56.38 tff(5416,plain,
% 56.12/56.38 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.12/56.38 inference(symmetry,[status(thm)],[5415])).
% 56.12/56.38 tff(5417,plain,
% 56.12/56.38 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))),
% 56.12/56.38 inference(monotonicity,[status(thm)],[4518])).
% 56.12/56.38 tff(5418,plain,
% 56.12/56.38 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.12/56.38 inference(transitivity,[status(thm)],[5417, 5416, 5413])).
% 56.12/56.38 tff(5419,plain,
% 56.12/56.38 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.12/56.38 inference(monotonicity,[status(thm)],[5418])).
% 56.12/56.38 tff(5420,plain,
% 56.12/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.38 inference(quant_inst,[status(thm)],[])).
% 56.12/56.38 tff(5421,plain,
% 56.12/56.38 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.12/56.38 inference(unit_resolution,[status(thm)],[5420, 7])).
% 56.12/56.38 tff(5422,plain,
% 56.12/56.38 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), emp))))))),
% 56.12/56.38 inference(monotonicity,[status(thm)],[4525])).
% 56.12/56.38 tff(5423,plain,
% 56.12/56.38 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.12/56.38 inference(transitivity,[status(thm)],[5422, 5421, 5419])).
% 56.12/56.38 tff(5424,plain,
% 56.12/56.38 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.38 inference(monotonicity,[status(thm)],[5423])).
% 56.12/56.38 tff(5425,plain,
% 56.12/56.38 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.12/56.38 inference(symmetry,[status(thm)],[5424])).
% 56.12/56.38 tff(5426,plain,
% 56.12/56.38 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.38 inference(transitivity,[status(thm)],[5425, 5404])).
% 56.22/56.38 tff(5427,plain,
% 56.22/56.38 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5426])).
% 56.22/56.38 tff(5428,plain,
% 56.22/56.38 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(transitivity,[status(thm)],[5427, 5401])).
% 56.22/56.38 tff(5429,plain,
% 56.22/56.38 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5428])).
% 56.22/56.38 tff(5430,plain,
% 56.22/56.38 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5427])).
% 56.22/56.38 tff(5431,plain,
% 56.22/56.38 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[4502])).
% 56.22/56.38 tff(5432,plain,
% 56.22/56.38 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5431])).
% 56.22/56.38 tff(5433,plain,
% 56.22/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.38 inference(quant_inst,[status(thm)],[])).
% 56.22/56.38 tff(5434,plain,
% 56.22/56.38 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(unit_resolution,[status(thm)],[5433, 7])).
% 56.22/56.38 tff(5435,plain,
% 56.22/56.38 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5434])).
% 56.22/56.38 tff(5436,plain,
% 56.22/56.38 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5423])).
% 56.22/56.38 tff(5437,plain,
% 56.22/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(quant_inst,[status(thm)],[])).
% 56.22/56.38 tff(5438,plain,
% 56.22/56.38 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.38 inference(unit_resolution,[status(thm)],[5437, 7])).
% 56.22/56.38 tff(5439,plain,
% 56.22/56.38 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.38 inference(transitivity,[status(thm)],[5438, 5436])).
% 56.22/56.38 tff(5440,plain,
% 56.22/56.38 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5439])).
% 56.22/56.38 tff(5441,plain,
% 56.22/56.38 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5440])).
% 56.22/56.38 tff(5442,plain,
% 56.22/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.38 inference(quant_inst,[status(thm)],[])).
% 56.22/56.38 tff(5443,plain,
% 56.22/56.38 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.38 inference(unit_resolution,[status(thm)],[5442, 7])).
% 56.22/56.38 tff(5444,plain,
% 56.22/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x11, x13), emp)) = sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))),
% 56.22/56.38 inference(quant_inst,[status(thm)],[])).
% 56.22/56.38 tff(5445,plain,
% 56.22/56.38 (sep(lseg(x3, x9), sep(lseg(x11, x13), emp)) = sep(lseg(x11, x13), sep(lseg(x3, x9), emp))),
% 56.22/56.38 inference(unit_resolution,[status(thm)],[5444, 7])).
% 56.22/56.38 tff(5446,plain,
% 56.22/56.38 (sep(lseg(x11, x13), sep(lseg(x3, x9), emp)) = sep(lseg(x3, x9), sep(lseg(x11, x13), emp))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5445])).
% 56.22/56.38 tff(5447,plain,
% 56.22/56.38 (sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))) = sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5446])).
% 56.22/56.38 tff(5448,plain,
% 56.22/56.38 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5447])).
% 56.22/56.38 tff(5449,plain,
% 56.22/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))))),
% 56.22/56.38 inference(quant_inst,[status(thm)],[])).
% 56.22/56.38 tff(5450,plain,
% 56.22/56.38 (sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.38 inference(unit_resolution,[status(thm)],[5449, 7])).
% 56.22/56.38 tff(5451,plain,
% 56.22/56.38 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5450])).
% 56.22/56.38 tff(5452,plain,
% 56.22/56.38 (sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5446])).
% 56.22/56.38 tff(5453,plain,
% 56.22/56.38 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5452])).
% 56.22/56.38 tff(5454,plain,
% 56.22/56.38 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5453])).
% 56.22/56.38 tff(5455,plain,
% 56.22/56.38 (sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.22/56.38 inference(transitivity,[status(thm)],[5454, 5451, 5448])).
% 56.22/56.38 tff(5456,plain,
% 56.22/56.38 (sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5455])).
% 56.22/56.38 tff(5457,plain,
% 56.22/56.38 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5456])).
% 56.22/56.38 tff(5458,plain,
% 56.22/56.38 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.38 inference(transitivity,[status(thm)],[5457, 5443])).
% 56.22/56.38 tff(5459,plain,
% 56.22/56.38 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.38 inference(monotonicity,[status(thm)],[5458])).
% 56.22/56.38 tff(5460,plain,
% 56.22/56.38 (sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.38 inference(symmetry,[status(thm)],[5459])).
% 56.22/56.38 tff(5461,plain,
% 56.22/56.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.38 inference(quant_inst,[status(thm)],[])).
% 56.22/56.38 tff(5462,plain,
% 56.22/56.38 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.38 inference(unit_resolution,[status(thm)],[5461, 7])).
% 56.22/56.38 tff(5463,plain,
% 56.22/56.38 (sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.38 inference(transitivity,[status(thm)],[5462, 5460])).
% 56.22/56.39 tff(5464,plain,
% 56.22/56.39 (sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[5463])).
% 56.22/56.39 tff(5465,plain,
% 56.22/56.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(quant_inst,[status(thm)],[])).
% 56.22/56.39 tff(5466,plain,
% 56.22/56.39 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.39 inference(unit_resolution,[status(thm)],[5465, 7])).
% 56.22/56.39 tff(5467,plain,
% 56.22/56.39 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.39 inference(transitivity,[status(thm)],[5466, 5464])).
% 56.22/56.39 tff(5468,plain,
% 56.22/56.39 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[5467])).
% 56.22/56.39 tff(5469,plain,
% 56.22/56.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(quant_inst,[status(thm)],[])).
% 56.22/56.39 tff(5470,plain,
% 56.22/56.39 (sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(unit_resolution,[status(thm)],[5469, 7])).
% 56.22/56.39 tff(5471,plain,
% 56.22/56.39 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(symmetry,[status(thm)],[5470])).
% 56.22/56.39 tff(5472,plain,
% 56.22/56.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(quant_inst,[status(thm)],[])).
% 56.22/56.39 tff(5473,plain,
% 56.22/56.39 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.39 inference(unit_resolution,[status(thm)],[5472, 7])).
% 56.22/56.39 tff(5474,plain,
% 56.22/56.39 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.39 inference(symmetry,[status(thm)],[5473])).
% 56.22/56.39 tff(5475,plain,
% 56.22/56.39 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[5474])).
% 56.22/56.39 tff(5476,plain,
% 56.22/56.39 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(transitivity,[status(thm)],[5475, 5471, 5468, 5441, 5435, 5432, 5400, 5430])).
% 56.22/56.39 tff(5477,plain,
% 56.22/56.39 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[5476])).
% 56.22/56.39 tff(5478,plain,
% 56.22/56.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.22/56.39 inference(quant_inst,[status(thm)],[])).
% 56.22/56.39 tff(5479,plain,
% 56.22/56.39 (sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(unit_resolution,[status(thm)],[5478, 7])).
% 56.22/56.39 tff(5480,plain,
% 56.22/56.39 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(symmetry,[status(thm)],[5479])).
% 56.22/56.39 tff(5481,plain,
% 56.22/56.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(quant_inst,[status(thm)],[])).
% 56.22/56.39 tff(5482,plain,
% 56.22/56.39 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(unit_resolution,[status(thm)],[5481, 7])).
% 56.22/56.39 tff(5483,plain,
% 56.22/56.39 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(symmetry,[status(thm)],[5482])).
% 56.22/56.39 tff(5484,plain,
% 56.22/56.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(quant_inst,[status(thm)],[])).
% 56.22/56.39 tff(5485,plain,
% 56.22/56.39 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.39 inference(unit_resolution,[status(thm)],[5484, 7])).
% 56.22/56.39 tff(5486,plain,
% 56.22/56.39 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[5485])).
% 56.22/56.39 tff(5487,plain,
% 56.22/56.39 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(transitivity,[status(thm)],[5486, 5483])).
% 56.22/56.39 tff(5488,plain,
% 56.22/56.39 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[5487])).
% 56.22/56.39 tff(5489,plain,
% 56.22/56.39 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[3292])).
% 56.22/56.39 tff(5490,plain,
% 56.22/56.39 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(symmetry,[status(thm)],[5486])).
% 56.22/56.39 tff(5491,plain,
% 56.22/56.39 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.39 inference(transitivity,[status(thm)],[5482, 5490])).
% 56.22/56.39 tff(5492,plain,
% 56.22/56.39 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.39 inference(monotonicity,[status(thm)],[5491])).
% 56.22/56.39 tff(5493,plain,
% 56.22/56.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5494,plain,
% 56.22/56.40 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5493, 7])).
% 56.22/56.40 tff(5495,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5496,plain,
% 56.22/56.40 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5495, 7])).
% 56.22/56.40 tff(5497,plain,
% 56.22/56.40 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5496])).
% 56.22/56.40 tff(5498,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5499,plain,
% 56.22/56.40 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5498, 7])).
% 56.22/56.40 tff(5500,plain,
% 56.22/56.40 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5499])).
% 56.22/56.40 tff(5501,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5502,plain,
% 56.22/56.40 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5501, 7])).
% 56.22/56.40 tff(5503,plain,
% 56.22/56.40 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5502])).
% 56.22/56.40 tff(5504,plain,
% 56.22/56.40 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(transitivity,[status(thm)],[5503, 5500])).
% 56.22/56.40 tff(5505,plain,
% 56.22/56.40 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5504])).
% 56.22/56.40 tff(5506,plain,
% 56.22/56.40 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5505])).
% 56.22/56.40 tff(5507,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[4027])).
% 56.22/56.40 tff(5508,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5507])).
% 56.22/56.40 tff(5509,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5510,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5509, 7])).
% 56.22/56.40 tff(5511,plain,
% 56.22/56.40 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5510])).
% 56.22/56.40 tff(5512,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5513,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5512, 7])).
% 56.22/56.40 tff(5514,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5515,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5514, 7])).
% 56.22/56.40 tff(5516,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5453])).
% 56.22/56.40 tff(5517,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.40 inference(transitivity,[status(thm)],[5516, 5515])).
% 56.22/56.40 tff(5518,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5517])).
% 56.22/56.40 tff(5519,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5518])).
% 56.22/56.40 tff(5520,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5521,plain,
% 56.22/56.40 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5520, 7])).
% 56.22/56.40 tff(5522,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5446])).
% 56.22/56.40 tff(5523,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5522])).
% 56.22/56.40 tff(5524,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5523])).
% 56.22/56.40 tff(5525,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5524])).
% 56.22/56.40 tff(5526,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5527,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5526, 7])).
% 56.22/56.40 tff(5528,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5527])).
% 56.22/56.40 tff(5529,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.22/56.40 inference(transitivity,[status(thm)],[5528, 5525])).
% 56.22/56.40 tff(5530,plain,
% 56.22/56.40 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5529])).
% 56.22/56.40 tff(5531,plain,
% 56.22/56.40 (sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x3, x9), emp)))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5530])).
% 56.22/56.40 tff(5532,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5533,plain,
% 56.22/56.40 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5532, 7])).
% 56.22/56.40 tff(5534,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5533])).
% 56.22/56.40 tff(5535,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[3720])).
% 56.22/56.40 tff(5536,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.22/56.40 inference(transitivity,[status(thm)],[5535, 5534])).
% 56.22/56.40 tff(5537,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5536])).
% 56.22/56.40 tff(5538,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5539,plain,
% 56.22/56.40 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5538, 7])).
% 56.22/56.40 tff(5540,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 56.22/56.40 inference(symmetry,[status(thm)],[5539])).
% 56.22/56.40 tff(5541,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.22/56.40 inference(transitivity,[status(thm)],[5540, 5537])).
% 56.22/56.40 tff(5542,plain,
% 56.22/56.40 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.40 inference(monotonicity,[status(thm)],[5541])).
% 56.22/56.40 tff(5543,plain,
% 56.22/56.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))),
% 56.22/56.40 inference(quant_inst,[status(thm)],[])).
% 56.22/56.40 tff(5544,plain,
% 56.22/56.40 (sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 56.22/56.40 inference(unit_resolution,[status(thm)],[5543, 7])).
% 56.22/56.40 tff(5545,plain,
% 56.22/56.40 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 56.22/56.41 inference(symmetry,[status(thm)],[5544])).
% 56.22/56.41 tff(5546,plain,
% 56.22/56.41 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))),
% 56.22/56.41 inference(transitivity,[status(thm)],[3775, 3778])).
% 56.22/56.41 tff(5547,plain,
% 56.22/56.41 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))),
% 56.22/56.41 inference(monotonicity,[status(thm)],[5546])).
% 56.22/56.41 tff(5548,plain,
% 56.22/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.22/56.41 inference(monotonicity,[status(thm)],[3634])).
% 56.22/56.41 tff(5549,plain,
% 56.22/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.22/56.41 inference(transitivity,[status(thm)],[5548, 5547, 5545, 5542, 5531, 5521, 5519, 5513])).
% 56.22/56.41 tff(5550,plain,
% 56.22/56.41 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.41 inference(monotonicity,[status(thm)],[5549])).
% 56.22/56.41 tff(5551,plain,
% 56.22/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.22/56.41 inference(quant_inst,[status(thm)],[])).
% 56.22/56.41 tff(5552,plain,
% 56.22/56.41 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.22/56.41 inference(unit_resolution,[status(thm)],[5551, 7])).
% 56.22/56.41 tff(5553,plain,
% 56.22/56.41 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 56.22/56.41 inference(symmetry,[status(thm)],[3994])).
% 56.22/56.41 tff(5554,plain,
% 56.22/56.41 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.22/56.41 inference(monotonicity,[status(thm)],[5553])).
% 56.22/56.41 tff(5555,plain,
% 56.22/56.41 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.22/56.41 inference(monotonicity,[status(thm)],[4025])).
% 56.22/56.41 tff(5556,plain,
% 56.22/56.41 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.22/56.41 inference(transitivity,[status(thm)],[5555, 5554, 5552, 5550, 5499])).
% 56.22/56.41 tff(5557,plain,
% 56.22/56.41 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.22/56.41 inference(monotonicity,[status(thm)],[5556])).
% 56.22/56.41 tff(5558,plain,
% 56.22/56.41 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.41 inference(symmetry,[status(thm)],[5557])).
% 56.25/56.41 tff(5559,plain,
% 56.25/56.41 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.41 inference(transitivity,[status(thm)],[5558, 5511, 5508])).
% 56.25/56.41 tff(5560,plain,
% 56.25/56.41 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[5559])).
% 56.25/56.41 tff(5561,plain,
% 56.25/56.41 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(symmetry,[status(thm)],[5560])).
% 56.25/56.41 tff(5562,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5563,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5562, 7])).
% 56.25/56.41 tff(5564,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[4126])).
% 56.25/56.41 tff(5565,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(symmetry,[status(thm)],[5564])).
% 56.25/56.41 tff(5566,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5567,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5566, 7])).
% 56.25/56.41 tff(5568,plain,
% 56.25/56.41 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(symmetry,[status(thm)],[5567])).
% 56.25/56.41 tff(5569,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5570,plain,
% 56.25/56.41 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5569, 7])).
% 56.25/56.41 tff(5571,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5572,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5571, 7])).
% 56.25/56.41 tff(5573,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))) = sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[3628])).
% 56.25/56.41 tff(5574,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))),
% 56.25/56.41 inference(transitivity,[status(thm)],[5573, 5572])).
% 56.25/56.41 tff(5575,plain,
% 56.25/56.41 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[5574])).
% 56.25/56.41 tff(5576,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5577,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5576, 7])).
% 56.25/56.41 tff(5578,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[4437])).
% 56.25/56.41 tff(5579,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[3654])).
% 56.25/56.41 tff(5580,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.25/56.41 inference(transitivity,[status(thm)],[5579, 5578, 5577, 5575])).
% 56.25/56.41 tff(5581,plain,
% 56.25/56.41 (sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[5580])).
% 56.25/56.41 tff(5582,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5583,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))) = sep(lseg(x2, x12), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5582, 7])).
% 56.25/56.41 tff(5584,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[3846])).
% 56.25/56.41 tff(5585,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x3, x9), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[3843])).
% 56.25/56.41 tff(5586,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.25/56.41 inference(transitivity,[status(thm)],[5585, 5584, 5583, 5581])).
% 56.25/56.41 tff(5587,plain,
% 56.25/56.41 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[5586])).
% 56.25/56.41 tff(5588,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5589,plain,
% 56.25/56.41 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5588, 7])).
% 56.25/56.41 tff(5590,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.25/56.41 inference(symmetry,[status(thm)],[5589])).
% 56.25/56.41 tff(5591,plain,
% 56.25/56.41 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.25/56.41 inference(transitivity,[status(thm)],[5590, 5587])).
% 56.25/56.41 tff(5592,plain,
% 56.25/56.41 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.41 inference(monotonicity,[status(thm)],[5591])).
% 56.25/56.41 tff(5593,plain,
% 56.25/56.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.25/56.41 inference(quant_inst,[status(thm)],[])).
% 56.25/56.41 tff(5594,plain,
% 56.25/56.41 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.25/56.41 inference(unit_resolution,[status(thm)],[5593, 7])).
% 56.25/56.42 tff(5595,plain,
% 56.25/56.42 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.25/56.42 inference(symmetry,[status(thm)],[5594])).
% 56.25/56.42 tff(5596,plain,
% 56.25/56.42 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[4045])).
% 56.25/56.42 tff(5597,plain,
% 56.25/56.42 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.42 inference(transitivity,[status(thm)],[5596, 5595, 5592, 5570])).
% 56.25/56.42 tff(5598,plain,
% 56.25/56.42 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[5597])).
% 56.25/56.42 tff(5599,plain,
% 56.25/56.42 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(symmetry,[status(thm)],[5598])).
% 56.25/56.42 tff(5600,plain,
% 56.25/56.42 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(transitivity,[status(thm)],[5599, 5568, 5565, 5563, 5561, 5506, 5497])).
% 56.25/56.42 tff(5601,plain,
% 56.25/56.42 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[5600])).
% 56.25/56.42 tff(5602,plain,
% 56.25/56.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.25/56.42 inference(quant_inst,[status(thm)],[])).
% 56.25/56.42 tff(5603,plain,
% 56.25/56.42 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.42 inference(unit_resolution,[status(thm)],[5602, 7])).
% 56.25/56.42 tff(5604,plain,
% 56.25/56.42 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.42 inference(symmetry,[status(thm)],[5603])).
% 56.25/56.42 tff(5605,plain,
% 56.25/56.42 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[5597])).
% 56.25/56.42 tff(5606,plain,
% 56.25/56.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.42 inference(quant_inst,[status(thm)],[])).
% 56.25/56.42 tff(5607,plain,
% 56.25/56.42 (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(unit_resolution,[status(thm)],[5606, 7])).
% 56.25/56.42 tff(5608,plain,
% 56.25/56.42 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.42 inference(symmetry,[status(thm)],[4120])).
% 56.25/56.42 tff(5609,plain,
% 56.25/56.42 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.42 inference(symmetry,[status(thm)],[4118])).
% 56.25/56.42 tff(5610,plain,
% 56.25/56.42 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.42 inference(symmetry,[status(thm)],[4116])).
% 56.25/56.42 tff(5611,plain,
% 56.25/56.42 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.42 inference(transitivity,[status(thm)],[5610, 5609, 5608])).
% 56.25/56.42 tff(5612,plain,
% 56.25/56.42 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[5611])).
% 56.25/56.42 tff(5613,plain,
% 56.25/56.42 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(transitivity,[status(thm)],[5612, 5607, 5605])).
% 56.25/56.42 tff(5614,plain,
% 56.25/56.42 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[5613])).
% 56.25/56.42 tff(5615,plain,
% 56.25/56.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.25/56.42 inference(quant_inst,[status(thm)],[])).
% 56.25/56.42 tff(5616,plain,
% 56.25/56.42 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.25/56.42 inference(unit_resolution,[status(thm)],[5615, 7])).
% 56.25/56.42 tff(5617,plain,
% 56.25/56.42 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[4155])).
% 56.25/56.42 tff(5618,plain,
% 56.25/56.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.25/56.42 inference(quant_inst,[status(thm)],[])).
% 56.25/56.42 tff(5619,plain,
% 56.25/56.42 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.25/56.42 inference(unit_resolution,[status(thm)],[5618, 7])).
% 56.25/56.42 tff(5620,plain,
% 56.25/56.42 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.25/56.42 inference(symmetry,[status(thm)],[5619])).
% 56.25/56.42 tff(5621,plain,
% 56.25/56.42 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.25/56.42 inference(transitivity,[status(thm)],[5620, 5617, 4120, 4118, 4116])).
% 56.25/56.42 tff(5622,plain,
% 56.25/56.42 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.25/56.42 inference(monotonicity,[status(thm)],[5621])).
% 56.25/56.42 tff(5623,plain,
% 56.25/56.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 56.25/56.42 inference(quant_inst,[status(thm)],[])).
% 56.25/56.42 tff(5624,plain,
% 56.25/56.42 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5623, 7])).
% 56.27/56.43 tff(5625,plain,
% 56.27/56.43 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[3635])).
% 56.27/56.43 tff(5626,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5625])).
% 56.27/56.43 tff(5627,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5626])).
% 56.27/56.43 tff(5628,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5629,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5628, 7])).
% 56.27/56.43 tff(5630,plain,
% 56.27/56.43 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5629])).
% 56.27/56.43 tff(5631,plain,
% 56.27/56.43 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(transitivity,[status(thm)],[5630, 5627])).
% 56.27/56.43 tff(5632,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5631])).
% 56.27/56.43 tff(5633,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5632])).
% 56.27/56.43 tff(5634,plain,
% 56.27/56.43 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5633])).
% 56.27/56.43 tff(5635,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[3689])).
% 56.27/56.43 tff(5636,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5637,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5636, 7])).
% 56.27/56.43 tff(5638,plain,
% 56.27/56.43 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5637])).
% 56.27/56.43 tff(5639,plain,
% 56.27/56.43 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(transitivity,[status(thm)],[5638, 5635])).
% 56.27/56.43 tff(5640,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5639])).
% 56.27/56.43 tff(5641,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5642,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5641, 7])).
% 56.27/56.43 tff(5643,plain,
% 56.27/56.43 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5642])).
% 56.27/56.43 tff(5644,plain,
% 56.27/56.43 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(transitivity,[status(thm)],[5643, 5640])).
% 56.27/56.43 tff(5645,plain,
% 56.27/56.43 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5644])).
% 56.27/56.43 tff(5646,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5647,plain,
% 56.27/56.43 (sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5646, 7])).
% 56.27/56.43 tff(5648,plain,
% 56.27/56.43 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5647])).
% 56.27/56.43 tff(5649,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5650,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5649, 7])).
% 56.27/56.43 tff(5651,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[4076])).
% 56.27/56.43 tff(5652,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5653,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5652, 7])).
% 56.27/56.43 tff(5654,plain,
% 56.27/56.43 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5653])).
% 56.27/56.43 tff(5655,plain,
% 56.27/56.43 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(transitivity,[status(thm)],[5654, 5651])).
% 56.27/56.43 tff(5656,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5655])).
% 56.27/56.43 tff(5657,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5656])).
% 56.27/56.43 tff(5658,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(transitivity,[status(thm)],[5657, 5650])).
% 56.27/56.43 tff(5659,plain,
% 56.27/56.43 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5658])).
% 56.27/56.43 tff(5660,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[4107])).
% 56.27/56.43 tff(5661,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5660])).
% 56.27/56.43 tff(5662,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5663,plain,
% 56.27/56.43 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5662, 7])).
% 56.27/56.43 tff(5664,plain,
% 56.27/56.43 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5663])).
% 56.27/56.43 tff(5665,plain,
% 56.27/56.43 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.43 inference(transitivity,[status(thm)],[5664, 5661])).
% 56.27/56.43 tff(5666,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.43 inference(monotonicity,[status(thm)],[5665])).
% 56.27/56.43 tff(5667,plain,
% 56.27/56.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.43 inference(quant_inst,[status(thm)],[])).
% 56.27/56.43 tff(5668,plain,
% 56.27/56.43 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.27/56.43 inference(unit_resolution,[status(thm)],[5667, 7])).
% 56.27/56.43 tff(5669,plain,
% 56.27/56.43 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.27/56.43 inference(symmetry,[status(thm)],[5668])).
% 56.27/56.43 tff(5670,plain,
% 56.27/56.43 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.44 inference(transitivity,[status(thm)],[5669, 5666])).
% 56.27/56.44 tff(5671,plain,
% 56.27/56.44 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.44 inference(monotonicity,[status(thm)],[5670])).
% 56.27/56.44 tff(5672,plain,
% 56.27/56.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 56.27/56.44 inference(quant_inst,[status(thm)],[])).
% 56.27/56.44 tff(5673,plain,
% 56.27/56.44 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.44 inference(unit_resolution,[status(thm)],[5672, 7])).
% 56.27/56.44 tff(5674,plain,
% 56.27/56.44 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5673])).
% 56.27/56.44 tff(5675,plain,
% 56.27/56.44 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.44 inference(transitivity,[status(thm)],[5674, 5671, 5659, 5648, 5645, 5634, 5624, 5622])).
% 56.27/56.44 tff(5676,plain,
% 56.27/56.44 (lseg(x3, x9) = lseg(x3, x1)),
% 56.27/56.44 inference(monotonicity,[status(thm)],[3618])).
% 56.27/56.44 tff(5677,plain,
% 56.27/56.44 (lseg(x3, x1) = lseg(x3, x9)),
% 56.27/56.44 inference(symmetry,[status(thm)],[5676])).
% 56.27/56.44 tff(5678,plain,
% 56.27/56.44 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(monotonicity,[status(thm)],[5677, 5675])).
% 56.27/56.44 tff(5679,plain,
% 56.27/56.44 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5671])).
% 56.27/56.44 tff(5680,plain,
% 56.27/56.44 (sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5659])).
% 56.27/56.44 tff(5681,plain,
% 56.27/56.44 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5645])).
% 56.27/56.44 tff(5682,plain,
% 56.27/56.44 (sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5634])).
% 56.27/56.44 tff(5683,plain,
% 56.27/56.44 (sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))) = sep(lseg(x2, x12), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5624])).
% 56.27/56.44 tff(5684,plain,
% 56.27/56.44 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5622])).
% 56.27/56.44 tff(5685,plain,
% 56.27/56.44 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))),
% 56.27/56.44 inference(transitivity,[status(thm)],[5684, 5683, 5682, 5681, 5647, 5680, 5679, 5673])).
% 56.27/56.44 tff(5686,plain,
% 56.27/56.44 (sep(lseg(x3, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 56.27/56.44 inference(monotonicity,[status(thm)],[5685])).
% 56.27/56.44 tff(5687,plain,
% 56.27/56.44 (sep(lseg(x3, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(transitivity,[status(thm)],[5686, 5678, 5616, 5614, 5604, 5601, 5494, 5492, 5489, 5488, 5480, 5477, 5429, 5398, 5395])).
% 56.27/56.44 tff(5688,plain,
% 56.27/56.44 (lseg(x12, x3) = lseg(x11, x3)),
% 56.27/56.44 inference(monotonicity,[status(thm)],[3798])).
% 56.27/56.44 tff(5689,plain,
% 56.27/56.44 (sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.27/56.44 inference(monotonicity,[status(thm)],[5688, 5687])).
% 56.27/56.44 tff(5690,plain,
% 56.27/56.44 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5686])).
% 56.27/56.44 tff(5691,plain,
% 56.27/56.44 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x12), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5678])).
% 56.27/56.44 tff(5692,plain,
% 56.27/56.44 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5616])).
% 56.27/56.44 tff(5693,plain,
% 56.27/56.44 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5614])).
% 56.27/56.44 tff(5694,plain,
% 56.27/56.44 (sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5601])).
% 56.27/56.44 tff(5695,plain,
% 56.27/56.44 (sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5494])).
% 56.27/56.44 tff(5696,plain,
% 56.27/56.44 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5492])).
% 56.27/56.44 tff(5697,plain,
% 56.27/56.44 (sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5489])).
% 56.27/56.44 tff(5698,plain,
% 56.27/56.44 (sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5488])).
% 56.27/56.44 tff(5699,plain,
% 56.27/56.44 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x2, x11), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.44 inference(symmetry,[status(thm)],[5477])).
% 56.27/56.44 tff(5700,plain,
% 56.27/56.44 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5429])).
% 56.27/56.45 tff(5701,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5395])).
% 56.27/56.45 tff(5702,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(transitivity,[status(thm)],[5701, 5397, 5700, 5699, 5479, 5698, 5697, 5696, 5695, 5694, 5603, 5693, 5692, 5691, 5690])).
% 56.27/56.45 tff(5703,plain,
% 56.27/56.45 (sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x2, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5702])).
% 56.27/56.45 tff(5704,plain,
% 56.27/56.45 (sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.27/56.45 inference(transitivity,[status(thm)],[5703, 5689, 5387, 5384, 5286, 5283, 5277, 5276, 5273])).
% 56.27/56.45 tff(5705,plain,
% 56.27/56.45 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[3738])).
% 56.27/56.45 tff(5706,plain,
% 56.27/56.45 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))),
% 56.27/56.45 inference(transitivity,[status(thm)],[3701, 3794, 3714, 5705])).
% 56.27/56.45 tff(5707,plain,
% 56.27/56.45 (sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5706])).
% 56.27/56.45 tff(5708,plain,
% 56.27/56.45 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5707])).
% 56.27/56.45 tff(5709,plain,
% 56.27/56.45 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(transitivity,[status(thm)],[3738, 3715, 3704, 3702])).
% 56.27/56.45 tff(5710,plain,
% 56.27/56.45 (sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5677, 5709])).
% 56.27/56.45 tff(5711,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), emp)))))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5710])).
% 56.27/56.45 tff(5712,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5713,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5712, 7])).
% 56.27/56.45 tff(5714,plain,
% 56.27/56.45 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5713])).
% 56.27/56.45 tff(5715,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5716,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5715, 7])).
% 56.27/56.45 tff(5717,plain,
% 56.27/56.45 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5716])).
% 56.27/56.45 tff(5718,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5719,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5718, 7])).
% 56.27/56.45 tff(5720,plain,
% 56.27/56.45 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5485])).
% 56.27/56.45 tff(5721,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5720])).
% 56.27/56.45 tff(5722,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5723,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5722, 7])).
% 56.27/56.45 tff(5724,plain,
% 56.27/56.45 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5723])).
% 56.27/56.45 tff(5725,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5726,plain,
% 56.27/56.45 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5725, 7])).
% 56.27/56.45 tff(5727,plain,
% 56.27/56.45 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5726])).
% 56.27/56.45 tff(5728,plain,
% 56.27/56.45 (sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5513])).
% 56.27/56.45 tff(5729,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5728])).
% 56.27/56.45 tff(5730,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5729])).
% 56.27/56.45 tff(5731,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5732,plain,
% 56.27/56.45 (sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5731, 7])).
% 56.27/56.45 tff(5733,plain,
% 56.27/56.45 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5574])).
% 56.27/56.45 tff(5734,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5735,plain,
% 56.27/56.45 (sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5734, 7])).
% 56.27/56.45 tff(5736,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5735])).
% 56.27/56.45 tff(5737,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.27/56.45 inference(transitivity,[status(thm)],[5736, 5733])).
% 56.27/56.45 tff(5738,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.45 inference(monotonicity,[status(thm)],[5737])).
% 56.27/56.45 tff(5739,plain,
% 56.27/56.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.45 inference(quant_inst,[status(thm)],[])).
% 56.27/56.45 tff(5740,plain,
% 56.27/56.45 (sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 56.27/56.45 inference(unit_resolution,[status(thm)],[5739, 7])).
% 56.27/56.45 tff(5741,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))),
% 56.27/56.45 inference(symmetry,[status(thm)],[5740])).
% 56.27/56.45 tff(5742,plain,
% 56.27/56.45 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.45 inference(transitivity,[status(thm)],[5741, 5738])).
% 56.27/56.45 tff(5743,plain,
% 56.27/56.45 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[5742])).
% 56.27/56.46 tff(5744,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5745,plain,
% 56.27/56.46 (sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5744, 7])).
% 56.27/56.46 tff(5746,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp)))))) = sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5745])).
% 56.27/56.46 tff(5747,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))) = sep(lseg(x3, x9), sep(lseg(x9, x14), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), emp))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[4479])).
% 56.27/56.46 tff(5748,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x3, x9), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[3707])).
% 56.27/56.46 tff(5749,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.46 inference(transitivity,[status(thm)],[5748, 5747, 5746, 5743, 5732, 5730])).
% 56.27/56.46 tff(5750,plain,
% 56.27/56.46 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[5749])).
% 56.27/56.46 tff(5751,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5752,plain,
% 56.27/56.46 (sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5751, 7])).
% 56.27/56.46 tff(5753,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5752])).
% 56.27/56.46 tff(5754,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(transitivity,[status(thm)],[5753, 5750])).
% 56.27/56.46 tff(5755,plain,
% 56.27/56.46 (sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[5754])).
% 56.27/56.46 tff(5756,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5757,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5756, 7])).
% 56.27/56.46 tff(5758,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x3, x9), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[3700])).
% 56.27/56.46 tff(5759,plain,
% 56.27/56.46 (sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(transitivity,[status(thm)],[5758, 5757, 5755, 5727, 5724, 5721, 5719, 5717])).
% 56.27/56.46 tff(5760,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[5759])).
% 56.27/56.46 tff(5761,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5760])).
% 56.27/56.46 tff(5762,plain,
% 56.27/56.46 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5727])).
% 56.27/56.46 tff(5763,plain,
% 56.27/56.46 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5721])).
% 56.27/56.46 tff(5764,plain,
% 56.27/56.46 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5719])).
% 56.27/56.46 tff(5765,plain,
% 56.27/56.46 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5717])).
% 56.27/56.46 tff(5766,plain,
% 56.27/56.46 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(transitivity,[status(thm)],[5765, 5764, 5763, 5723, 5762])).
% 56.27/56.46 tff(5767,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[5766])).
% 56.27/56.46 tff(5768,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5767])).
% 56.27/56.46 tff(5769,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5770,plain,
% 56.27/56.46 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5769, 7])).
% 56.27/56.46 tff(5771,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5772,plain,
% 56.27/56.46 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5771, 7])).
% 56.27/56.46 tff(5773,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5772])).
% 56.27/56.46 tff(5774,plain,
% 56.27/56.46 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[5773])).
% 56.27/56.46 tff(5775,plain,
% 56.27/56.46 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5774])).
% 56.27/56.46 tff(5776,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5777,plain,
% 56.27/56.46 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5776, 7])).
% 56.27/56.46 tff(5778,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(monotonicity,[status(thm)],[5777])).
% 56.27/56.46 tff(5779,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(symmetry,[status(thm)],[5778])).
% 56.27/56.46 tff(5780,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5781,plain,
% 56.27/56.46 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5780, 7])).
% 56.27/56.46 tff(5782,plain,
% 56.27/56.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.46 inference(quant_inst,[status(thm)],[])).
% 56.27/56.46 tff(5783,plain,
% 56.27/56.46 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.46 inference(unit_resolution,[status(thm)],[5782, 7])).
% 56.27/56.46 tff(5784,plain,
% 56.27/56.46 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.47 inference(symmetry,[status(thm)],[5783])).
% 56.27/56.47 tff(5785,plain,
% 56.27/56.47 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(monotonicity,[status(thm)],[5784])).
% 56.27/56.47 tff(5786,plain,
% 56.27/56.47 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(transitivity,[status(thm)],[5785, 5781, 5779])).
% 56.27/56.47 tff(5787,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(monotonicity,[status(thm)],[5786])).
% 56.27/56.47 tff(5788,plain,
% 56.27/56.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.47 inference(quant_inst,[status(thm)],[])).
% 56.27/56.47 tff(5789,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(unit_resolution,[status(thm)],[5788, 7])).
% 56.27/56.47 tff(5790,plain,
% 56.27/56.47 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(symmetry,[status(thm)],[5789])).
% 56.27/56.47 tff(5791,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(monotonicity,[status(thm)],[5784])).
% 56.27/56.47 tff(5792,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(symmetry,[status(thm)],[5791])).
% 56.27/56.47 tff(5793,plain,
% 56.27/56.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(quant_inst,[status(thm)],[])).
% 56.27/56.47 tff(5794,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(unit_resolution,[status(thm)],[5793, 7])).
% 56.27/56.47 tff(5795,plain,
% 56.27/56.47 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(symmetry,[status(thm)],[5794])).
% 56.27/56.47 tff(5796,plain,
% 56.27/56.47 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(transitivity,[status(thm)],[5795, 5792])).
% 56.27/56.47 tff(5797,plain,
% 56.27/56.47 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(monotonicity,[status(thm)],[5796])).
% 56.27/56.47 tff(5798,plain,
% 56.27/56.47 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(transitivity,[status(thm)],[5797, 5790, 5787])).
% 56.27/56.47 tff(5799,plain,
% 56.27/56.47 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.47 inference(monotonicity,[status(thm)],[5798])).
% 56.27/56.47 tff(5800,plain,
% 56.27/56.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.27/56.47 inference(quant_inst,[status(thm)],[])).
% 56.27/56.47 tff(5801,plain,
% 56.27/56.47 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.47 inference(unit_resolution,[status(thm)],[5800, 7])).
% 56.27/56.47 tff(5802,plain,
% 56.27/56.47 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.47 inference(symmetry,[status(thm)],[5801])).
% 56.27/56.47 tff(5803,plain,
% 56.27/56.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(quant_inst,[status(thm)],[])).
% 56.27/56.47 tff(5804,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(unit_resolution,[status(thm)],[5803, 7])).
% 56.27/56.47 tff(5805,plain,
% 56.27/56.47 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(transitivity,[status(thm)],[5795, 5792, 5804])).
% 56.27/56.47 tff(5806,plain,
% 56.27/56.47 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(monotonicity,[status(thm)],[5805])).
% 56.27/56.47 tff(5807,plain,
% 56.27/56.47 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(symmetry,[status(thm)],[5806])).
% 56.27/56.47 tff(5808,plain,
% 56.27/56.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.47 inference(quant_inst,[status(thm)],[])).
% 56.27/56.47 tff(5809,plain,
% 56.27/56.47 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(unit_resolution,[status(thm)],[5808, 7])).
% 56.27/56.47 tff(5810,plain,
% 56.27/56.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.47 inference(quant_inst,[status(thm)],[])).
% 56.27/56.47 tff(5811,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(unit_resolution,[status(thm)],[5810, 7])).
% 56.27/56.47 tff(5812,plain,
% 56.27/56.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.47 inference(quant_inst,[status(thm)],[])).
% 56.27/56.47 tff(5813,plain,
% 56.27/56.47 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.47 inference(unit_resolution,[status(thm)],[5812, 7])).
% 56.27/56.47 tff(5814,plain,
% 56.27/56.47 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.47 inference(symmetry,[status(thm)],[5813])).
% 56.27/56.47 tff(5815,plain,
% 56.27/56.47 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5814])).
% 56.27/56.48 tff(5816,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(quant_inst,[status(thm)],[])).
% 56.27/56.48 tff(5817,plain,
% 56.27/56.48 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(unit_resolution,[status(thm)],[5816, 7])).
% 56.27/56.48 tff(5818,plain,
% 56.27/56.48 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5817])).
% 56.27/56.48 tff(5819,plain,
% 56.27/56.48 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(transitivity,[status(thm)],[5818, 5815, 5811])).
% 56.27/56.48 tff(5820,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5819])).
% 56.27/56.48 tff(5821,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5820])).
% 56.27/56.48 tff(5822,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(quant_inst,[status(thm)],[])).
% 56.27/56.48 tff(5823,plain,
% 56.27/56.48 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.48 inference(unit_resolution,[status(thm)],[5822, 7])).
% 56.27/56.48 tff(5824,plain,
% 56.27/56.48 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5823])).
% 56.27/56.48 tff(5825,plain,
% 56.27/56.48 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5824])).
% 56.27/56.48 tff(5826,plain,
% 56.27/56.48 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5825])).
% 56.27/56.48 tff(5827,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5826])).
% 56.27/56.48 tff(5828,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5827])).
% 56.27/56.48 tff(5829,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.48 inference(quant_inst,[status(thm)],[])).
% 56.27/56.48 tff(5830,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(unit_resolution,[status(thm)],[5829, 7])).
% 56.27/56.48 tff(5831,plain,
% 56.27/56.48 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5830])).
% 56.27/56.48 tff(5832,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(quant_inst,[status(thm)],[])).
% 56.27/56.48 tff(5833,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.48 inference(unit_resolution,[status(thm)],[5832, 7])).
% 56.27/56.48 tff(5834,plain,
% 56.27/56.48 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5833])).
% 56.27/56.48 tff(5835,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(quant_inst,[status(thm)],[])).
% 56.27/56.48 tff(5836,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(unit_resolution,[status(thm)],[5835, 7])).
% 56.27/56.48 tff(5837,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5824])).
% 56.27/56.48 tff(5838,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.48 inference(transitivity,[status(thm)],[5837, 5836, 5834])).
% 56.27/56.48 tff(5839,plain,
% 56.27/56.48 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5838])).
% 56.27/56.48 tff(5840,plain,
% 56.27/56.48 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5839])).
% 56.27/56.48 tff(5841,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.48 inference(quant_inst,[status(thm)],[])).
% 56.27/56.48 tff(5842,plain,
% 56.27/56.48 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(unit_resolution,[status(thm)],[5841, 7])).
% 56.27/56.48 tff(5843,plain,
% 56.27/56.48 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5842])).
% 56.27/56.48 tff(5844,plain,
% 56.27/56.48 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.48 inference(transitivity,[status(thm)],[5843, 5840, 5831, 5828, 5821, 5809, 5807])).
% 56.27/56.48 tff(5845,plain,
% 56.27/56.48 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5844])).
% 56.27/56.48 tff(5846,plain,
% 56.27/56.48 (sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.48 inference(transitivity,[status(thm)],[5845, 5802, 5799, 5775, 5770, 5768, 5761, 5714, 5711, 5708])).
% 56.27/56.48 tff(5847,plain,
% 56.27/56.48 (sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5846])).
% 56.27/56.48 tff(5848,plain,
% 56.27/56.48 (heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))) <=> heap(sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5847])).
% 56.27/56.48 tff(5849,plain,
% 56.27/56.48 (heap(sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) <=> heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5848])).
% 56.27/56.48 tff(5850,plain,
% 56.27/56.48 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[3313])).
% 56.27/56.48 tff(5851,plain,
% 56.27/56.48 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[3534])).
% 56.27/56.48 tff(5852,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 56.27/56.48 inference(quant_inst,[status(thm)],[])).
% 56.27/56.48 tff(5853,plain,
% 56.27/56.48 (sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 56.27/56.48 inference(unit_resolution,[status(thm)],[5852, 7])).
% 56.27/56.48 tff(5854,plain,
% 56.27/56.48 (sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 56.27/56.48 inference(symmetry,[status(thm)],[5853])).
% 56.27/56.48 tff(5855,plain,
% 56.27/56.48 (sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.27/56.48 inference(transitivity,[status(thm)],[5854, 5851, 23])).
% 56.27/56.48 tff(5856,plain,
% 56.27/56.48 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.27/56.48 inference(monotonicity,[status(thm)],[5855])).
% 56.27/56.48 tff(5857,plain,
% 56.27/56.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5858,plain,
% 56.27/56.49 (sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5857, 7])).
% 56.27/56.49 tff(5859,plain,
% 56.27/56.49 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x11, x13), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5858])).
% 56.27/56.49 tff(5860,plain,
% 56.27/56.49 (sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))) = sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.27/56.49 inference(transitivity,[status(thm)],[5859, 5856])).
% 56.27/56.49 tff(5861,plain,
% 56.27/56.49 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5860])).
% 56.27/56.49 tff(5862,plain,
% 56.27/56.49 (sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(transitivity,[status(thm)],[5861, 5850])).
% 56.27/56.49 tff(5863,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5862])).
% 56.27/56.49 tff(5864,plain,
% 56.27/56.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5865,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5864, 7])).
% 56.27/56.49 tff(5866,plain,
% 56.27/56.49 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5865])).
% 56.27/56.49 tff(5867,plain,
% 56.27/56.49 (sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(transitivity,[status(thm)],[5866, 5863])).
% 56.27/56.49 tff(5868,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5867])).
% 56.27/56.49 tff(5869,plain,
% 56.27/56.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5870,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5869, 7])).
% 56.27/56.49 tff(5871,plain,
% 56.27/56.49 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5870])).
% 56.27/56.49 tff(5872,plain,
% 56.27/56.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5873,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5872, 7])).
% 56.27/56.49 tff(5874,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5860])).
% 56.27/56.49 tff(5875,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5874])).
% 56.27/56.49 tff(5876,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5875])).
% 56.27/56.49 tff(5877,plain,
% 56.27/56.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5878,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5877, 7])).
% 56.27/56.49 tff(5879,plain,
% 56.27/56.49 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5878])).
% 56.27/56.49 tff(5880,plain,
% 56.27/56.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5881,plain,
% 56.27/56.49 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5880, 7])).
% 56.27/56.49 tff(5882,plain,
% 56.27/56.49 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[544])).
% 56.27/56.49 tff(5883,plain,
% 56.27/56.49 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))),
% 56.27/56.49 inference(transitivity,[status(thm)],[5882, 553, 222])).
% 56.27/56.49 tff(5884,plain,
% 56.27/56.49 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5883])).
% 56.27/56.49 tff(5885,plain,
% 56.27/56.49 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5884])).
% 56.27/56.49 tff(5886,plain,
% 56.27/56.49 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[222])).
% 56.27/56.49 tff(5887,plain,
% 56.27/56.49 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.49 inference(transitivity,[status(thm)],[5886, 5885, 5881])).
% 56.27/56.49 tff(5888,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))) = sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5887])).
% 56.27/56.49 tff(5889,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5888])).
% 56.27/56.49 tff(5890,plain,
% 56.27/56.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5891,plain,
% 56.27/56.49 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5890, 7])).
% 56.27/56.49 tff(5892,plain,
% 56.27/56.49 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5891])).
% 56.27/56.49 tff(5893,plain,
% 56.27/56.49 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.27/56.49 inference(transitivity,[status(thm)],[5892, 5889])).
% 56.27/56.49 tff(5894,plain,
% 56.27/56.49 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5893])).
% 56.27/56.49 tff(5895,plain,
% 56.27/56.49 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(transitivity,[status(thm)],[5894, 5879])).
% 56.27/56.49 tff(5896,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5895])).
% 56.27/56.49 tff(5897,plain,
% 56.27/56.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.49 inference(quant_inst,[status(thm)],[])).
% 56.27/56.49 tff(5898,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.49 inference(unit_resolution,[status(thm)],[5897, 7])).
% 56.27/56.49 tff(5899,plain,
% 56.27/56.49 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5898])).
% 56.27/56.49 tff(5900,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.49 inference(monotonicity,[status(thm)],[5893])).
% 56.27/56.49 tff(5901,plain,
% 56.27/56.49 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.49 inference(symmetry,[status(thm)],[5900])).
% 56.27/56.50 tff(5902,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5901])).
% 56.27/56.50 tff(5903,plain,
% 56.27/56.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(quant_inst,[status(thm)],[])).
% 56.27/56.50 tff(5904,plain,
% 56.27/56.50 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.50 inference(unit_resolution,[status(thm)],[5903, 7])).
% 56.27/56.50 tff(5905,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5904])).
% 56.27/56.50 tff(5906,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5905])).
% 56.27/56.50 tff(5907,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(transitivity,[status(thm)],[5906, 5902, 5899, 5896, 5876, 5873])).
% 56.27/56.50 tff(5908,plain,
% 56.27/56.50 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5907])).
% 56.27/56.50 tff(5909,plain,
% 56.27/56.50 (sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(transitivity,[status(thm)],[5908, 5871, 5868])).
% 56.27/56.50 tff(5910,plain,
% 56.27/56.50 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5909])).
% 56.27/56.50 tff(5911,plain,
% 56.27/56.50 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5910])).
% 56.27/56.50 tff(5912,plain,
% 56.27/56.50 (sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5850])).
% 56.27/56.50 tff(5913,plain,
% 56.27/56.50 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5912])).
% 56.27/56.50 tff(5914,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5913])).
% 56.27/56.50 tff(5915,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5914])).
% 56.27/56.50 tff(5916,plain,
% 56.27/56.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.27/56.50 inference(quant_inst,[status(thm)],[])).
% 56.27/56.50 tff(5917,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(unit_resolution,[status(thm)],[5916, 7])).
% 56.27/56.50 tff(5918,plain,
% 56.27/56.50 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5917])).
% 56.27/56.50 tff(5919,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5850])).
% 56.27/56.50 tff(5920,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5919])).
% 56.27/56.50 tff(5921,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[3314])).
% 56.27/56.50 tff(5922,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5921])).
% 56.27/56.50 tff(5923,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5922])).
% 56.27/56.50 tff(5924,plain,
% 56.27/56.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(quant_inst,[status(thm)],[])).
% 56.27/56.50 tff(5925,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(unit_resolution,[status(thm)],[5924, 7])).
% 56.27/56.50 tff(5926,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))) = sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[3323])).
% 56.27/56.50 tff(5927,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5926])).
% 56.27/56.50 tff(5928,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(transitivity,[status(thm)],[5927, 5925, 5923, 5920])).
% 56.27/56.50 tff(5929,plain,
% 56.27/56.50 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.50 inference(monotonicity,[status(thm)],[5928])).
% 56.27/56.50 tff(5930,plain,
% 56.27/56.50 (sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.50 inference(symmetry,[status(thm)],[5927])).
% 56.27/56.50 tff(5931,plain,
% 56.27/56.50 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.51 inference(symmetry,[status(thm)],[5925])).
% 56.27/56.51 tff(5932,plain,
% 56.27/56.51 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 56.27/56.51 inference(monotonicity,[status(thm)],[552])).
% 56.27/56.51 tff(5933,plain,
% 56.27/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.51 inference(quant_inst,[status(thm)],[])).
% 56.27/56.51 tff(5934,plain,
% 56.27/56.51 (sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.27/56.51 inference(unit_resolution,[status(thm)],[5933, 7])).
% 56.27/56.51 tff(5935,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x11, x3), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))),
% 56.27/56.51 inference(symmetry,[status(thm)],[5934])).
% 56.27/56.51 tff(5936,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))) = sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))),
% 56.27/56.51 inference(transitivity,[status(thm)],[5935, 5932])).
% 56.27/56.51 tff(5937,plain,
% 56.27/56.51 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.27/56.51 inference(monotonicity,[status(thm)],[5936])).
% 56.27/56.51 tff(5938,plain,
% 56.27/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.51 inference(quant_inst,[status(thm)],[])).
% 56.27/56.51 tff(5939,plain,
% 56.27/56.51 (sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.51 inference(unit_resolution,[status(thm)],[5938, 7])).
% 56.27/56.51 tff(5940,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x14), sep(lseg(x11, x3), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))),
% 56.27/56.51 inference(symmetry,[status(thm)],[5939])).
% 56.27/56.51 tff(5941,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))),
% 56.27/56.51 inference(transitivity,[status(thm)],[5940, 5937, 23])).
% 56.27/56.51 tff(5942,plain,
% 56.27/56.51 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.27/56.51 inference(monotonicity,[status(thm)],[5941])).
% 56.27/56.51 tff(5943,plain,
% 56.27/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.51 inference(quant_inst,[status(thm)],[])).
% 56.27/56.51 tff(5944,plain,
% 56.27/56.51 (sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.51 inference(unit_resolution,[status(thm)],[5943, 7])).
% 56.27/56.51 tff(5945,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x11, x3), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))),
% 56.27/56.51 inference(symmetry,[status(thm)],[5944])).
% 56.27/56.51 tff(5946,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))) = sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))),
% 56.27/56.51 inference(transitivity,[status(thm)],[5945, 5942])).
% 56.27/56.51 tff(5947,plain,
% 56.27/56.51 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.51 inference(monotonicity,[status(thm)],[5946])).
% 56.27/56.51 tff(5948,plain,
% 56.27/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.51 inference(quant_inst,[status(thm)],[])).
% 56.27/56.51 tff(5949,plain,
% 56.27/56.51 (sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.51 inference(unit_resolution,[status(thm)],[5948, 7])).
% 56.27/56.51 tff(5950,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x11, x3), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))),
% 56.27/56.51 inference(symmetry,[status(thm)],[5949])).
% 56.27/56.51 tff(5951,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))) = sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))),
% 56.27/56.51 inference(transitivity,[status(thm)],[5950, 5947])).
% 56.27/56.51 tff(5952,plain,
% 56.27/56.51 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.51 inference(monotonicity,[status(thm)],[5951])).
% 56.27/56.51 tff(5953,plain,
% 56.27/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.51 inference(quant_inst,[status(thm)],[])).
% 56.27/56.51 tff(5954,plain,
% 56.27/56.51 (sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.51 inference(unit_resolution,[status(thm)],[5953, 7])).
% 56.27/56.51 tff(5955,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x1, x7), sep(lseg(x11, x3), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.27/56.51 inference(symmetry,[status(thm)],[5954])).
% 56.27/56.51 tff(5956,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.27/56.51 inference(transitivity,[status(thm)],[5955, 5952, 5922, 5931, 5930])).
% 56.27/56.51 tff(5957,plain,
% 56.27/56.51 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.51 inference(monotonicity,[status(thm)],[5956])).
% 56.27/56.51 tff(5958,plain,
% 56.27/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.27/56.51 inference(quant_inst,[status(thm)],[])).
% 56.27/56.51 tff(5959,plain,
% 56.27/56.51 (sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.51 inference(unit_resolution,[status(thm)],[5958, 7])).
% 56.27/56.51 tff(5960,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x11, x3), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.27/56.51 inference(symmetry,[status(thm)],[5959])).
% 56.27/56.51 tff(5961,plain,
% 56.27/56.51 (sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.27/56.51 inference(transitivity,[status(thm)],[5960, 5957, 5929, 5918, 5915])).
% 56.27/56.51 tff(5962,plain,
% 56.27/56.51 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.27/56.51 inference(monotonicity,[status(thm)],[5961])).
% 56.27/56.51 tff(5963,plain,
% 56.27/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))),
% 56.27/56.51 inference(quant_inst,[status(thm)],[])).
% 56.27/56.51 tff(5964,plain,
% 56.27/56.51 (sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.36/56.51 inference(unit_resolution,[status(thm)],[5963, 7])).
% 56.36/56.51 tff(5965,plain,
% 56.36/56.51 (sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x11, x3), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.36/56.51 inference(symmetry,[status(thm)],[5964])).
% 56.36/56.51 tff(5966,plain,
% 56.36/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.36/56.51 inference(quant_inst,[status(thm)],[])).
% 56.36/56.51 tff(5967,plain,
% 56.36/56.51 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))),
% 56.36/56.51 inference(unit_resolution,[status(thm)],[5966, 7])).
% 56.36/56.51 tff(5968,plain,
% 56.36/56.51 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.36/56.51 inference(monotonicity,[status(thm)],[5967])).
% 56.36/56.51 tff(5969,plain,
% 56.36/56.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.36/56.51 inference(quant_inst,[status(thm)],[])).
% 56.36/56.51 tff(5970,plain,
% 56.36/56.51 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.36/56.51 inference(unit_resolution,[status(thm)],[5969, 7])).
% 56.36/56.51 tff(5971,plain,
% 56.36/56.51 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.36/56.51 inference(symmetry,[status(thm)],[5770])).
% 56.36/56.51 tff(5972,plain,
% 56.36/56.51 (sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))),
% 56.36/56.51 inference(transitivity,[status(thm)],[5707, 5710, 5713, 5760, 5767, 5971, 5774, 5970, 5968])).
% 56.36/56.51 tff(5973,plain,
% 56.36/56.51 (sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x11, x3), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[5688, 5972])).
% 56.36/56.52 tff(5974,plain,
% 56.36/56.52 (sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(transitivity,[status(thm)],[5973, 5965, 5962, 5911])).
% 56.36/56.52 tff(5975,plain,
% 56.36/56.52 (heap(sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[5974])).
% 56.36/56.52 tff(5976,plain,
% 56.36/56.52 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) <=> heap(sep(lseg(x12, x3), sep(lseg(x3, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))),
% 56.36/56.52 inference(symmetry,[status(thm)],[5975])).
% 56.36/56.52 tff(5977,plain,
% 56.36/56.52 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[3345])).
% 56.36/56.52 tff(5978,plain,
% 56.36/56.52 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(symmetry,[status(thm)],[5977])).
% 56.36/56.52 tff(5979,plain,
% 56.36/56.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.52 inference(quant_inst,[status(thm)],[])).
% 56.36/56.52 tff(5980,plain,
% 56.36/56.52 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(unit_resolution,[status(thm)],[5979, 7])).
% 56.36/56.52 tff(5981,plain,
% 56.36/56.52 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[5912])).
% 56.36/56.52 tff(5982,plain,
% 56.36/56.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(quant_inst,[status(thm)],[])).
% 56.36/56.52 tff(5983,plain,
% 56.36/56.52 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.52 inference(unit_resolution,[status(thm)],[5982, 7])).
% 56.36/56.52 tff(5984,plain,
% 56.36/56.52 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.52 inference(symmetry,[status(thm)],[5983])).
% 56.36/56.52 tff(5985,plain,
% 56.36/56.52 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.52 inference(transitivity,[status(thm)],[5984, 5981])).
% 56.36/56.52 tff(5986,plain,
% 56.36/56.52 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[5985])).
% 56.36/56.52 tff(5987,plain,
% 56.36/56.52 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(symmetry,[status(thm)],[5986])).
% 56.36/56.52 tff(5988,plain,
% 56.36/56.52 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[3314])).
% 56.36/56.52 tff(5989,plain,
% 56.36/56.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.52 inference(quant_inst,[status(thm)],[])).
% 56.36/56.52 tff(5990,plain,
% 56.36/56.52 (sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.36/56.52 inference(unit_resolution,[status(thm)],[5989, 7])).
% 56.36/56.52 tff(5991,plain,
% 56.36/56.52 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.36/56.52 inference(symmetry,[status(thm)],[5990])).
% 56.36/56.52 tff(5992,plain,
% 56.36/56.52 (sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))) = sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))),
% 56.36/56.52 inference(transitivity,[status(thm)],[5991, 5988])).
% 56.36/56.52 tff(5993,plain,
% 56.36/56.52 (sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[5992])).
% 56.36/56.52 tff(5994,plain,
% 56.36/56.52 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.52 inference(symmetry,[status(thm)],[5993])).
% 56.36/56.52 tff(5995,plain,
% 56.36/56.52 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(monotonicity,[status(thm)],[5994])).
% 56.36/56.52 tff(5996,plain,
% 56.36/56.52 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(symmetry,[status(thm)],[5995])).
% 56.36/56.52 tff(5997,plain,
% 56.36/56.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.52 inference(quant_inst,[status(thm)],[])).
% 56.36/56.52 tff(5998,plain,
% 56.36/56.52 (sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.52 inference(unit_resolution,[status(thm)],[5997, 7])).
% 56.36/56.52 tff(5999,plain,
% 56.36/56.52 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(symmetry,[status(thm)],[5998])).
% 56.36/56.53 tff(6000,plain,
% 56.36/56.53 (sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[5992])).
% 56.36/56.53 tff(6001,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6000])).
% 56.36/56.53 tff(6002,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x3, x9), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(symmetry,[status(thm)],[6001])).
% 56.36/56.53 tff(6003,plain,
% 56.36/56.53 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[5918, 5915])).
% 56.36/56.53 tff(6004,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6003])).
% 56.36/56.53 tff(6005,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[6004, 6002, 5999, 5996, 5987, 5980, 5978])).
% 56.36/56.53 tff(6006,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[4347, 6005])).
% 56.36/56.53 tff(6007,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(symmetry,[status(thm)],[6004])).
% 56.36/56.53 tff(6008,plain,
% 56.36/56.53 (sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[5871, 5868])).
% 56.36/56.53 tff(6009,plain,
% 56.36/56.53 (sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[3258, 6008])).
% 56.36/56.53 tff(6010,plain,
% 56.36/56.53 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.53 inference(symmetry,[status(thm)],[5868])).
% 56.36/56.53 tff(6011,plain,
% 56.36/56.53 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[5918, 5915, 6010, 5870])).
% 56.36/56.53 tff(6012,plain,
% 56.36/56.53 (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x12, x12), sep(lseg(x12, x8), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x11, x13), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6011])).
% 56.36/56.53 tff(6013,plain,
% 56.36/56.53 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(quant_inst,[status(thm)],[])).
% 56.36/56.53 tff(6014,plain,
% 56.36/56.53 (sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.53 inference(unit_resolution,[status(thm)],[6013, 500])).
% 56.36/56.53 tff(6015,plain,
% 56.36/56.53 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x12, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(symmetry,[status(thm)],[6014])).
% 56.36/56.53 tff(6016,plain,
% 56.36/56.53 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[5914, 5917, 6015, 6012, 6009, 6007])).
% 56.36/56.53 tff(6017,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6016])).
% 56.36/56.53 tff(6018,plain,
% 56.36/56.53 (sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[5910, 6017, 6006, 3293, 3187, 3184, 3172, 3135, 3132, 105, 102, 100, 86])).
% 56.36/56.53 tff(6019,plain,
% 56.36/56.53 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6018])).
% 56.36/56.53 tff(6020,plain,
% 56.36/56.53 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.53 inference(symmetry,[status(thm)],[6019])).
% 56.36/56.53 tff(6021,plain,
% 56.36/56.53 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[6020, 5976, 5849])).
% 56.36/56.53 tff(6022,plain,
% 56.36/56.53 (heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))),
% 56.36/56.53 inference(modus_ponens,[status(thm)],[5261, 6021])).
% 56.36/56.53 tff(6023,assumption,(~(x12 = x3)), introduced(assumption)).
% 56.36/56.53 tff(6024,plain,
% 56.36/56.53 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (x12 = x3) | (~heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x8) | (x12 = x3) | (~heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))))),
% 56.36/56.53 inference(rewrite,[status(thm)],[])).
% 56.36/56.53 tff(6025,plain,
% 56.36/56.53 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x8) | (x12 = x3) | (~heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp)))))))))))))),
% 56.36/56.53 inference(quant_inst,[status(thm)],[])).
% 56.36/56.53 tff(6026,plain,
% 56.36/56.53 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x8) | (x12 = x3) | (~heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))))),
% 56.36/56.53 inference(modus_ponens,[status(thm)],[6025, 6024])).
% 56.36/56.53 tff(6027,plain,
% 56.36/56.53 ((x12 = x8) | (x12 = x3) | (~heap(sep(lseg(x12, x3), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), emp))))))))))))),
% 56.36/56.53 inference(unit_resolution,[status(thm)],[6026, 478])).
% 56.36/56.53 tff(6028,plain,
% 56.36/56.53 (x12 = x8),
% 56.36/56.53 inference(unit_resolution,[status(thm)],[6027, 6023, 6022])).
% 56.36/56.53 tff(6029,plain,
% 56.36/56.53 (lseg(x12, x14) = lseg(x8, x14)),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6028])).
% 56.36/56.53 tff(6030,plain,
% 56.36/56.53 (sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6029, 5704])).
% 56.36/56.53 tff(6031,plain,
% 56.36/56.53 (sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.53 inference(transitivity,[status(thm)],[6030, 127, 113, 110, 105, 102, 100, 86])).
% 56.36/56.53 tff(6032,plain,
% 56.36/56.53 (heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.53 inference(monotonicity,[status(thm)],[6031])).
% 56.36/56.53 tff(6033,plain,
% 56.36/56.53 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))),
% 56.36/56.53 inference(symmetry,[status(thm)],[6032])).
% 56.36/56.53 tff(6034,plain,
% 56.36/56.53 (heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))),
% 56.36/56.53 inference(modus_ponens,[status(thm)],[5261, 6033])).
% 56.36/56.53 tff(6035,plain,
% 56.36/56.53 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x3) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))) | (x12 = x14))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x3) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))) | (x12 = x14))),
% 56.36/56.54 inference(rewrite,[status(thm)],[])).
% 56.36/56.54 tff(6036,plain,
% 56.36/56.54 (((x12 = x3) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp)))))))))))))) <=> ((x12 = x3) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))) | (x12 = x14))),
% 56.36/56.54 inference(rewrite,[status(thm)],[])).
% 56.36/56.54 tff(6037,plain,
% 56.36/56.54 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x3) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x3) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))) | (x12 = x14)))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6036])).
% 56.36/56.54 tff(6038,plain,
% 56.36/56.54 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x3) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x3) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))) | (x12 = x14))),
% 56.36/56.54 inference(transitivity,[status(thm)],[6037, 6035])).
% 56.36/56.54 tff(6039,plain,
% 56.36/56.54 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x3) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))))),
% 56.36/56.54 inference(quant_inst,[status(thm)],[])).
% 56.36/56.54 tff(6040,plain,
% 56.36/56.54 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x3) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))) | (x12 = x14)),
% 56.36/56.54 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 56.36/56.54 tff(6041,plain,
% 56.36/56.54 ((~heap(sep(lseg(x12, x14), sep(lseg(x12, x3), sep(lseg(x3, x9), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), emp))))))))))))) | (x12 = x14)),
% 56.36/56.54 inference(unit_resolution,[status(thm)],[6040, 478, 6023])).
% 56.36/56.54 tff(6042,plain,
% 56.36/56.54 ($false),
% 56.36/56.54 inference(unit_resolution,[status(thm)],[6041, 6034, 3123])).
% 56.36/56.54 tff(6043,plain,(x12 = x3), inference(lemma,lemma(discharge,[]))).
% 56.36/56.54 tff(6044,plain,
% 56.36/56.54 (x3 = x12),
% 56.36/56.54 inference(symmetry,[status(thm)],[6043])).
% 56.36/56.54 tff(6045,plain,
% 56.36/56.54 (x3 = x11),
% 56.36/56.54 inference(transitivity,[status(thm)],[6044, 3119, 3797])).
% 56.36/56.54 tff(6046,plain,
% 56.36/56.54 (lseg(x3, x1) = lseg(x11, x9)),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6045, 5358])).
% 56.36/56.54 tff(6047,plain,
% 56.36/56.54 (lseg(x11, x9) = lseg(x3, x1)),
% 56.36/56.54 inference(symmetry,[status(thm)],[6046])).
% 56.36/56.54 tff(6048,plain,
% 56.36/56.54 (sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))) = sep(lseg(x3, x1), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6047, 5357])).
% 56.36/56.54 tff(6049,plain,
% 56.36/56.54 (sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 56.36/56.54 inference(symmetry,[status(thm)],[5356])).
% 56.36/56.54 tff(6050,plain,
% 56.36/56.54 (sep(lseg(x9, x14), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.54 inference(symmetry,[status(thm)],[5345])).
% 56.36/56.54 tff(6051,plain,
% 56.36/56.54 (sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x2, x11), sep(lseg(x12, x8), sep(lseg(x11, x13), sep(lseg(x9, x1), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.54 inference(symmetry,[status(thm)],[5329])).
% 56.36/56.54 tff(6052,plain,
% 56.36/56.54 (sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))),
% 56.36/56.54 inference(symmetry,[status(thm)],[5292])).
% 56.36/56.54 tff(6053,plain,
% 56.36/56.54 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp)))))))))),
% 56.36/56.54 inference(transitivity,[status(thm)],[5289, 6052, 6051, 5331, 6050, 6049])).
% 56.36/56.54 tff(6054,plain,
% 56.36/56.54 (lseg(x12, x1) = lseg(x11, x9)),
% 56.36/56.54 inference(monotonicity,[status(thm)],[3798, 5358])).
% 56.36/56.54 tff(6055,plain,
% 56.36/56.54 (sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x11, x9), sep(lseg(x9, x14), sep(lseg(x12, x8), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x9, x1), sep(lseg(x2, x11), sep(lseg(x11, x3), sep(lseg(x11, x13), emp))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6054, 6053])).
% 56.36/56.54 tff(6056,plain,
% 56.36/56.54 (sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.54 inference(transitivity,[status(thm)],[6055, 6048, 5312, 5286, 5283, 5277, 5276, 5273])).
% 56.36/56.54 tff(6057,plain,
% 56.36/56.54 (lseg(x12, x14) = lseg(x8, x14)),
% 56.36/56.54 inference(monotonicity,[status(thm)],[5271])).
% 56.36/56.54 tff(6058,plain,
% 56.36/56.54 (sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6057, 6056])).
% 56.36/56.54 tff(6059,plain,
% 56.36/56.54 (sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.54 inference(transitivity,[status(thm)],[6058, 127, 113, 110, 105, 102, 100, 86])).
% 56.36/56.54 tff(6060,plain,
% 56.36/56.54 (heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6059])).
% 56.36/56.54 tff(6061,plain,
% 56.36/56.54 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.54 inference(symmetry,[status(thm)],[6060])).
% 56.36/56.54 tff(6062,plain,
% 56.36/56.54 (lseg(x1, x14) = lseg(x9, x14)),
% 56.36/56.54 inference(monotonicity,[status(thm)],[5358])).
% 56.36/56.54 tff(6063,plain,
% 56.36/56.54 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6062, 992])).
% 56.36/56.54 tff(6064,plain,
% 56.36/56.54 (sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.54 inference(transitivity,[status(thm)],[6063, 990, 987])).
% 56.36/56.54 tff(6065,plain,
% 56.36/56.54 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6064])).
% 56.36/56.54 tff(6066,plain,
% 56.36/56.54 (sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.54 inference(transitivity,[status(thm)],[6065, 946, 943, 933])).
% 56.36/56.54 tff(6067,plain,
% 56.36/56.54 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6066])).
% 56.36/56.54 tff(6068,plain,
% 56.36/56.54 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.36/56.54 inference(symmetry,[status(thm)],[6067])).
% 56.36/56.54 tff(6069,plain,
% 56.36/56.54 (heap(sep(lseg(x1, x7), sep(lseg(x1, x14), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x5, x10), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x3, x9), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.36/56.54 inference(modus_ponens,[status(thm)],[464, 6068])).
% 56.36/56.54 tff(6070,plain,
% 56.36/56.54 ((x1 = x14) <=> (x9 = x14)),
% 56.36/56.54 inference(monotonicity,[status(thm)],[5358])).
% 56.36/56.54 tff(6071,plain,
% 56.36/56.54 ((x9 = x14) <=> (x1 = x14)),
% 56.36/56.54 inference(symmetry,[status(thm)],[6070])).
% 56.36/56.54 tff(6072,plain,
% 56.36/56.54 ((~(x9 = x14)) <=> (~(x1 = x14))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6071])).
% 56.36/56.54 tff(6073,plain,
% 56.36/56.54 (~(x1 = x14)),
% 56.36/56.54 inference(modus_ponens,[status(thm)],[468, 6072])).
% 56.36/56.54 tff(6074,plain,
% 56.36/56.54 (x1 = x7),
% 56.36/56.54 inference(unit_resolution,[status(thm)],[1010, 478, 6073, 6069])).
% 56.36/56.54 tff(6075,plain,
% 56.36/56.54 (x7 = x1),
% 56.36/56.54 inference(symmetry,[status(thm)],[6074])).
% 56.36/56.54 tff(6076,plain,
% 56.36/56.54 (lseg(x1, x7) = lseg(x9, x1)),
% 56.36/56.54 inference(monotonicity,[status(thm)],[5358, 6075])).
% 56.36/56.54 tff(6077,plain,
% 56.36/56.54 (lseg(x9, x1) = lseg(x1, x7)),
% 56.36/56.54 inference(symmetry,[status(thm)],[6076])).
% 56.36/56.54 tff(6078,plain,
% 56.36/56.54 (sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6077, 2224])).
% 56.36/56.54 tff(6079,plain,
% 56.36/56.54 (lseg(x1, x1) = lseg(x9, x1)),
% 56.36/56.54 inference(monotonicity,[status(thm)],[5358])).
% 56.36/56.54 tff(6080,plain,
% 56.36/56.54 (sep(lseg(x1, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.54 inference(monotonicity,[status(thm)],[6079])).
% 56.36/56.54 tff(6081,plain,
% 56.36/56.54 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp))))))))) = sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))),
% 56.36/56.55 inference(transitivity,[status(thm)],[4328, 6080, 4324, 4321, 4308, 4307, 4306, 2222])).
% 56.36/56.55 tff(6082,plain,
% 56.36/56.55 (sep(lseg(x9, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x11, x13), sep(lseg(x3, x9), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6081])).
% 56.36/56.55 tff(6083,plain,
% 56.36/56.55 (sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))) = sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.55 inference(transitivity,[status(thm)],[4281, 4278, 3129, 3125, 4320, 4323, 6082, 6078, 4289, 4285])).
% 56.36/56.55 tff(6084,plain,
% 56.36/56.55 (sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x1, x7), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6083])).
% 56.36/56.55 tff(6085,plain,
% 56.36/56.55 (sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(transitivity,[status(thm)],[6084, 4288, 4267, 4264])).
% 56.36/56.55 tff(6086,plain,
% 56.36/56.55 (heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6085])).
% 56.36/56.55 tff(6087,plain,
% 56.36/56.55 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(symmetry,[status(thm)],[6086])).
% 56.36/56.55 tff(6088,plain,
% 56.36/56.55 (heap(sep(lseg(x2, x11), sep(lseg(x2, x11), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x9, x1), sep(lseg(x9, x14), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(modus_ponens,[status(thm)],[464, 6087])).
% 56.36/56.55 tff(6089,plain,
% 56.36/56.55 (x2 = x11),
% 56.36/56.55 inference(unit_resolution,[status(thm)],[4343, 6088])).
% 56.36/56.55 tff(6090,plain,
% 56.36/56.55 (x2 = x13),
% 56.36/56.55 inference(transitivity,[status(thm)],[6089, 3289])).
% 56.36/56.55 tff(6091,plain,
% 56.36/56.55 (lseg(x2, x12) = lseg(x13, x12)),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6090])).
% 56.36/56.55 tff(6092,plain,
% 56.36/56.55 (sep(lseg(x2, x12), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6091, 5257])).
% 56.36/56.55 tff(6093,plain,
% 56.36/56.55 (sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.55 inference(transitivity,[status(thm)],[4263, 4266, 6092, 5255, 86])).
% 56.36/56.55 tff(6094,plain,
% 56.36/56.55 (heap(sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x8, x14), sep(lseg(x12, x8), sep(lseg(x2, x12), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6093])).
% 56.36/56.55 tff(6095,plain,
% 56.36/56.55 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(modus_ponens,[status(thm)],[464, 6094])).
% 56.36/56.55 tff(6096,plain,
% 56.36/56.55 (heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(modus_ponens,[status(thm)],[6095, 6061])).
% 56.36/56.55 tff(6097,plain,
% 56.36/56.55 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x1) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x1) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 56.36/56.55 inference(rewrite,[status(thm)],[])).
% 56.36/56.55 tff(6098,plain,
% 56.36/56.55 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x1) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 56.36/56.55 inference(quant_inst,[status(thm)],[])).
% 56.36/56.55 tff(6099,plain,
% 56.36/56.55 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x1) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.36/56.55 inference(modus_ponens,[status(thm)],[6098, 6097])).
% 56.36/56.55 tff(6100,plain,
% 56.36/56.55 ((x12 = x1) | (x12 = x14) | (~heap(sep(lseg(x12, x14), sep(lseg(x12, x1), sep(lseg(x5, x10), sep(lseg(x13, x12), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.36/56.55 inference(unit_resolution,[status(thm)],[6099, 478])).
% 56.36/56.55 tff(6101,plain,
% 56.36/56.55 (x12 = x1),
% 56.36/56.55 inference(unit_resolution,[status(thm)],[6100, 3123, 6096])).
% 56.36/56.55 tff(6102,plain,
% 56.36/56.55 (x1 = x12),
% 56.36/56.55 inference(symmetry,[status(thm)],[6101])).
% 56.36/56.55 tff(6103,plain,
% 56.36/56.55 (x9 = x8),
% 56.36/56.55 inference(transitivity,[status(thm)],[5309, 6102, 5271])).
% 56.36/56.55 tff(6104,plain,
% 56.36/56.55 (lseg(x9, x14) = lseg(x8, x14)),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6103])).
% 56.36/56.55 tff(6105,plain,
% 56.36/56.55 (sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x8, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x14), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6104, 141])).
% 56.36/56.55 tff(6106,plain,
% 56.36/56.55 (sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))) = sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))),
% 56.36/56.55 inference(transitivity,[status(thm)],[6105, 127, 113, 110, 105, 102, 100, 86])).
% 56.36/56.55 tff(6107,plain,
% 56.36/56.55 (heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(monotonicity,[status(thm)],[6106])).
% 56.36/56.55 tff(6108,plain,
% 56.36/56.55 (heap(sep(lseg(x13, x12), sep(lseg(x12, x8), sep(lseg(x8, x14), sep(lseg(x1, x7), sep(lseg(x5, x10), sep(lseg(x9, x14), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))) <=> heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(symmetry,[status(thm)],[6107])).
% 56.36/56.55 tff(6109,plain,
% 56.36/56.55 (heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.36/56.55 inference(modus_ponens,[status(thm)],[6095, 6108])).
% 56.36/56.55 tff(6110,plain,
% 56.36/56.55 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 56.36/56.55 inference(rewrite,[status(thm)],[])).
% 56.43/56.67 tff(6111,plain,
% 56.43/56.67 (((x9 = x14) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))) <=> ((x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 56.43/56.67 inference(rewrite,[status(thm)],[])).
% 56.43/56.67 tff(6112,plain,
% 56.43/56.67 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x14) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))))),
% 56.43/56.67 inference(monotonicity,[status(thm)],[6111])).
% 56.43/56.67 tff(6113,plain,
% 56.43/56.67 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x14) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 56.43/56.67 inference(transitivity,[status(thm)],[6112, 6110])).
% 56.43/56.67 tff(6114,plain,
% 56.43/56.67 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x9 = x14) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))))),
% 56.43/56.67 inference(quant_inst,[status(thm)],[])).
% 56.43/56.67 tff(6115,plain,
% 56.43/56.67 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x9 = x14) | (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp)))))))))))))),
% 56.43/56.67 inference(modus_ponens,[status(thm)],[6114, 6113])).
% 56.43/56.67 tff(6116,plain,
% 56.43/56.67 (~heap(sep(lseg(x9, x14), sep(lseg(x9, x14), sep(lseg(x13, x12), sep(lseg(x5, x10), sep(lseg(x1, x7), sep(lseg(x12, x8), sep(lseg(x2, x11), sep(lseg(x9, x1), sep(lseg(x3, x9), sep(lseg(x11, x13), sep(lseg(x11, x3), emp))))))))))))),
% 56.43/56.67 inference(unit_resolution,[status(thm)],[6115, 478, 468])).
% 56.43/56.67 tff(6117,plain,
% 56.43/56.67 ($false),
% 56.43/56.67 inference(unit_resolution,[status(thm)],[6116, 6109])).
% 56.43/56.67 % SZS output end Proof
% 56.51/56.67 % E exiting
%------------------------------------------------------------------------------