%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW445-1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:37:02 AM UTC 2025
% Result : Unsatisfiable 107.18s 107.36s
% Output : Proof 107.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW445-1 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % 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 11:43:09 EDT 2025
% 0.11/0.33 % CPUTime :
% 107.18/107.36 % SZS status Unsatisfiable
% 107.18/107.36 % SZS output start Proof
% 107.18/107.36 tff(heap_type, type, (
% 107.18/107.36 heap: $i > $o)).
% 107.18/107.36 tff(sep_type, type, (
% 107.18/107.36 sep: ( $i * $i ) > $i)).
% 107.18/107.36 tff(emp_type, type, (
% 107.18/107.36 emp: $i)).
% 107.18/107.36 tff(lseg_type, type, (
% 107.18/107.36 lseg: ( $i * $i ) > $i)).
% 107.18/107.36 tff(x19_type, type, (
% 107.18/107.36 x19: $i)).
% 107.18/107.36 tff(x6_type, type, (
% 107.18/107.36 x6: $i)).
% 107.18/107.36 tff(x17_type, type, (
% 107.18/107.36 x17: $i)).
% 107.18/107.36 tff(x12_type, type, (
% 107.18/107.36 x12: $i)).
% 107.18/107.36 tff(x11_type, type, (
% 107.18/107.36 x11: $i)).
% 107.18/107.36 tff(x3_type, type, (
% 107.18/107.36 x3: $i)).
% 107.18/107.36 tff(x20_type, type, (
% 107.18/107.36 x20: $i)).
% 107.18/107.36 tff(x16_type, type, (
% 107.18/107.36 x16: $i)).
% 107.18/107.36 tff(x7_type, type, (
% 107.18/107.36 x7: $i)).
% 107.18/107.36 tff(x14_type, type, (
% 107.18/107.36 x14: $i)).
% 107.18/107.36 tff(x18_type, type, (
% 107.18/107.36 x18: $i)).
% 107.18/107.36 tff(x2_type, type, (
% 107.18/107.36 x2: $i)).
% 107.18/107.36 tff(x15_type, type, (
% 107.18/107.36 x15: $i)).
% 107.18/107.36 tff(x4_type, type, (
% 107.18/107.36 x4: $i)).
% 107.18/107.36 tff(x1_type, type, (
% 107.18/107.36 x1: $i)).
% 107.18/107.36 tff(x5_type, type, (
% 107.18/107.36 x5: $i)).
% 107.18/107.36 tff(1,plain,
% 107.18/107.36 (^[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))))),
% 107.18/107.36 inference(bind,[status(th)],[])).
% 107.18/107.36 tff(2,plain,
% 107.18/107.36 (![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)))),
% 107.18/107.36 inference(quant_intro,[status(thm)],[1])).
% 107.18/107.36 tff(3,plain,
% 107.18/107.36 (![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)))),
% 107.18/107.36 inference(rewrite,[status(thm)],[])).
% 107.18/107.36 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')).
% 107.18/107.36 tff(5,plain,
% 107.18/107.36 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 107.18/107.36 inference(modus_ponens,[status(thm)],[4, 3])).
% 107.18/107.36 tff(6,plain,(
% 107.18/107.36 ![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 107.18/107.36 inference(skolemize,[status(sab)],[5])).
% 107.18/107.36 tff(7,plain,
% 107.18/107.36 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 107.18/107.36 inference(modus_ponens,[status(thm)],[6, 2])).
% 107.18/107.36 tff(8,plain,
% 107.18/107.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.36 inference(quant_inst,[status(thm)],[])).
% 107.18/107.36 tff(9,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.36 inference(unit_resolution,[status(thm)],[8, 7])).
% 107.18/107.36 tff(10,plain,
% 107.18/107.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.36 inference(quant_inst,[status(thm)],[])).
% 107.18/107.36 tff(11,plain,
% 107.18/107.36 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.36 inference(unit_resolution,[status(thm)],[10, 7])).
% 107.18/107.36 tff(12,plain,
% 107.18/107.36 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.36 inference(symmetry,[status(thm)],[11])).
% 107.18/107.36 tff(13,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.36 inference(monotonicity,[status(thm)],[12])).
% 107.18/107.36 tff(14,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.36 inference(transitivity,[status(thm)],[13, 9])).
% 107.18/107.36 tff(15,plain,
% 107.18/107.36 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.36 inference(monotonicity,[status(thm)],[14])).
% 107.18/107.36 tff(16,plain,
% 107.18/107.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.36 inference(quant_inst,[status(thm)],[])).
% 107.18/107.36 tff(17,plain,
% 107.18/107.36 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.36 inference(unit_resolution,[status(thm)],[16, 7])).
% 107.18/107.36 tff(18,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.36 inference(symmetry,[status(thm)],[17])).
% 107.18/107.36 tff(19,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.36 inference(transitivity,[status(thm)],[18, 15])).
% 107.18/107.36 tff(20,plain,
% 107.18/107.36 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.36 inference(monotonicity,[status(thm)],[19])).
% 107.18/107.36 tff(21,plain,
% 107.18/107.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.36 inference(quant_inst,[status(thm)],[])).
% 107.18/107.36 tff(22,plain,
% 107.18/107.36 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.36 inference(unit_resolution,[status(thm)],[21, 7])).
% 107.18/107.36 tff(23,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.36 inference(symmetry,[status(thm)],[22])).
% 107.18/107.36 tff(24,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.36 inference(transitivity,[status(thm)],[23, 20])).
% 107.18/107.36 tff(25,plain,
% 107.18/107.36 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.36 inference(monotonicity,[status(thm)],[24])).
% 107.18/107.36 tff(26,plain,
% 107.18/107.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.36 inference(quant_inst,[status(thm)],[])).
% 107.18/107.36 tff(27,plain,
% 107.18/107.36 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.36 inference(unit_resolution,[status(thm)],[26, 7])).
% 107.18/107.36 tff(28,plain,
% 107.18/107.36 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.37 inference(symmetry,[status(thm)],[27])).
% 107.18/107.37 tff(29,plain,
% 107.18/107.37 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.37 inference(transitivity,[status(thm)],[28, 25])).
% 107.18/107.37 tff(30,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.37 inference(monotonicity,[status(thm)],[29])).
% 107.18/107.37 tff(31,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.37 inference(symmetry,[status(thm)],[30])).
% 107.18/107.37 tff(32,plain,
% 107.18/107.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.37 inference(quant_inst,[status(thm)],[])).
% 107.18/107.37 tff(33,plain,
% 107.18/107.37 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.37 inference(unit_resolution,[status(thm)],[32, 7])).
% 107.18/107.37 tff(34,plain,
% 107.18/107.37 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.37 inference(symmetry,[status(thm)],[9])).
% 107.18/107.37 tff(35,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.37 inference(monotonicity,[status(thm)],[34])).
% 107.18/107.37 tff(36,plain,
% 107.18/107.37 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.37 inference(monotonicity,[status(thm)],[35])).
% 107.18/107.37 tff(37,plain,
% 107.18/107.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.37 inference(quant_inst,[status(thm)],[])).
% 107.18/107.37 tff(38,plain,
% 107.18/107.37 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.37 inference(unit_resolution,[status(thm)],[37, 7])).
% 107.18/107.37 tff(39,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.37 inference(symmetry,[status(thm)],[38])).
% 107.18/107.37 tff(40,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.37 inference(transitivity,[status(thm)],[39, 36])).
% 107.18/107.37 tff(41,plain,
% 107.18/107.37 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.37 inference(monotonicity,[status(thm)],[40])).
% 107.18/107.37 tff(42,plain,
% 107.18/107.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.37 inference(quant_inst,[status(thm)],[])).
% 107.18/107.37 tff(43,plain,
% 107.18/107.37 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.37 inference(unit_resolution,[status(thm)],[42, 7])).
% 107.18/107.37 tff(44,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.37 inference(symmetry,[status(thm)],[43])).
% 107.18/107.37 tff(45,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.37 inference(transitivity,[status(thm)],[44, 41])).
% 107.18/107.37 tff(46,plain,
% 107.18/107.37 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.37 inference(monotonicity,[status(thm)],[45])).
% 107.18/107.37 tff(47,plain,
% 107.18/107.37 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.37 inference(symmetry,[status(thm)],[46])).
% 107.18/107.37 tff(48,plain,
% 107.18/107.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.37 inference(quant_inst,[status(thm)],[])).
% 107.18/107.37 tff(49,plain,
% 107.18/107.37 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.38 inference(unit_resolution,[status(thm)],[48, 7])).
% 107.18/107.38 tff(50,plain,
% 107.18/107.38 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.38 inference(monotonicity,[status(thm)],[49])).
% 107.18/107.38 tff(51,plain,
% 107.18/107.38 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.38 inference(symmetry,[status(thm)],[50])).
% 107.18/107.38 tff(52,plain,
% 107.18/107.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.38 inference(quant_inst,[status(thm)],[])).
% 107.18/107.38 tff(53,plain,
% 107.18/107.38 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.38 inference(unit_resolution,[status(thm)],[52, 7])).
% 107.18/107.38 tff(54,plain,
% 107.18/107.38 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.38 inference(symmetry,[status(thm)],[53])).
% 107.18/107.38 tff(55,plain,
% 107.18/107.38 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.38 inference(transitivity,[status(thm)],[54, 51])).
% 107.18/107.38 tff(56,plain,
% 107.18/107.38 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.38 inference(monotonicity,[status(thm)],[55])).
% 107.18/107.38 tff(57,plain,
% 107.18/107.38 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.38 inference(symmetry,[status(thm)],[56])).
% 107.18/107.38 tff(58,plain,
% 107.18/107.38 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.38 inference(monotonicity,[status(thm)],[57])).
% 107.18/107.38 tff(59,plain,
% 107.18/107.38 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.38 inference(symmetry,[status(thm)],[58])).
% 107.18/107.38 tff(60,plain,
% 107.18/107.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.38 inference(quant_inst,[status(thm)],[])).
% 107.18/107.38 tff(61,plain,
% 107.18/107.38 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.38 inference(unit_resolution,[status(thm)],[60, 7])).
% 107.18/107.38 tff(62,plain,
% 107.18/107.38 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.38 inference(symmetry,[status(thm)],[61])).
% 107.18/107.38 tff(63,plain,
% 107.18/107.38 (^[Sigma: $i, X: $i] : refl((sep(lseg(X, X), Sigma) = Sigma) <=> (sep(lseg(X, X), Sigma) = Sigma))),
% 107.18/107.38 inference(bind,[status(th)],[])).
% 107.18/107.38 tff(64,plain,
% 107.18/107.38 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 107.18/107.38 inference(quant_intro,[status(thm)],[63])).
% 107.18/107.38 tff(65,plain,
% 107.18/107.38 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 107.18/107.38 inference(rewrite,[status(thm)],[])).
% 107.18/107.38 tff(66,axiom,(![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','normalization')).
% 107.18/107.38 tff(67,plain,
% 107.18/107.38 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 107.18/107.38 inference(modus_ponens,[status(thm)],[66, 65])).
% 107.18/107.38 tff(68,plain,(
% 107.18/107.38 ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 107.18/107.38 inference(skolemize,[status(sab)],[67])).
% 107.18/107.38 tff(69,plain,
% 107.18/107.38 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 107.18/107.38 inference(modus_ponens,[status(thm)],[68, 64])).
% 107.18/107.38 tff(70,plain,
% 107.18/107.38 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x20, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.38 inference(quant_inst,[status(thm)],[])).
% 107.18/107.38 tff(71,plain,
% 107.18/107.38 (sep(lseg(x20, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.38 inference(unit_resolution,[status(thm)],[70, 69])).
% 107.18/107.38 tff(72,plain,
% 107.18/107.38 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.38 inference(transitivity,[status(thm)],[58, 61])).
% 107.18/107.38 tff(73,plain,
% 107.18/107.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.18/107.38 inference(quant_inst,[status(thm)],[])).
% 107.18/107.38 tff(74,plain,
% 107.18/107.38 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.38 inference(unit_resolution,[status(thm)],[73, 7])).
% 107.18/107.38 tff(75,plain,
% 107.18/107.38 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.38 inference(symmetry,[status(thm)],[74])).
% 107.18/107.38 tff(76,plain,
% 107.18/107.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.38 inference(quant_inst,[status(thm)],[])).
% 107.18/107.39 tff(77,plain,
% 107.18/107.39 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.39 inference(unit_resolution,[status(thm)],[76, 7])).
% 107.18/107.39 tff(78,plain,
% 107.18/107.39 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.39 inference(monotonicity,[status(thm)],[77])).
% 107.18/107.39 tff(79,plain,
% 107.18/107.39 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[78])).
% 107.18/107.39 tff(80,plain,
% 107.18/107.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.39 inference(quant_inst,[status(thm)],[])).
% 107.18/107.39 tff(81,plain,
% 107.18/107.39 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.39 inference(unit_resolution,[status(thm)],[80, 7])).
% 107.18/107.39 tff(82,plain,
% 107.18/107.39 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[81])).
% 107.18/107.39 tff(83,plain,
% 107.18/107.39 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.39 inference(transitivity,[status(thm)],[82, 79])).
% 107.18/107.39 tff(84,plain,
% 107.18/107.39 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.39 inference(monotonicity,[status(thm)],[83])).
% 107.18/107.39 tff(85,plain,
% 107.18/107.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.18/107.39 inference(quant_inst,[status(thm)],[])).
% 107.18/107.39 tff(86,plain,
% 107.18/107.39 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.39 inference(unit_resolution,[status(thm)],[85, 7])).
% 107.18/107.39 tff(87,plain,
% 107.18/107.39 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[86])).
% 107.18/107.39 tff(88,plain,
% 107.18/107.39 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.39 inference(transitivity,[status(thm)],[50, 53])).
% 107.18/107.39 tff(89,plain,
% 107.18/107.39 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.39 inference(monotonicity,[status(thm)],[88])).
% 107.18/107.39 tff(90,plain,
% 107.18/107.39 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[89])).
% 107.18/107.39 tff(91,plain,
% 107.18/107.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.39 inference(quant_inst,[status(thm)],[])).
% 107.18/107.39 tff(92,plain,
% 107.18/107.39 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.39 inference(unit_resolution,[status(thm)],[91, 7])).
% 107.18/107.39 tff(93,plain,
% 107.18/107.39 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[92])).
% 107.18/107.39 tff(94,plain,
% 107.18/107.39 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.39 inference(monotonicity,[status(thm)],[11])).
% 107.18/107.39 tff(95,plain,
% 107.18/107.39 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[94])).
% 107.18/107.39 tff(96,plain,
% 107.18/107.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.39 inference(quant_inst,[status(thm)],[])).
% 107.18/107.39 tff(97,plain,
% 107.18/107.39 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.39 inference(unit_resolution,[status(thm)],[96, 7])).
% 107.18/107.39 tff(98,plain,
% 107.18/107.39 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[97])).
% 107.18/107.39 tff(99,plain,
% 107.18/107.39 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.39 inference(transitivity,[status(thm)],[98, 95])).
% 107.18/107.39 tff(100,plain,
% 107.18/107.39 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.39 inference(monotonicity,[status(thm)],[99])).
% 107.18/107.39 tff(101,plain,
% 107.18/107.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.39 inference(quant_inst,[status(thm)],[])).
% 107.18/107.39 tff(102,plain,
% 107.18/107.39 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.39 inference(unit_resolution,[status(thm)],[101, 7])).
% 107.18/107.39 tff(103,plain,
% 107.18/107.39 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.39 inference(symmetry,[status(thm)],[102])).
% 107.18/107.39 tff(104,plain,
% 107.18/107.39 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.40 inference(transitivity,[status(thm)],[103, 100])).
% 107.18/107.40 tff(105,plain,
% 107.18/107.40 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.40 inference(monotonicity,[status(thm)],[104])).
% 107.18/107.40 tff(106,plain,
% 107.18/107.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.40 inference(quant_inst,[status(thm)],[])).
% 107.18/107.40 tff(107,plain,
% 107.18/107.40 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.40 inference(unit_resolution,[status(thm)],[106, 7])).
% 107.18/107.40 tff(108,plain,
% 107.18/107.40 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.40 inference(symmetry,[status(thm)],[107])).
% 107.18/107.40 tff(109,plain,
% 107.18/107.40 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.40 inference(transitivity,[status(thm)],[108, 105])).
% 107.18/107.40 tff(110,plain,
% 107.18/107.40 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.40 inference(monotonicity,[status(thm)],[109])).
% 107.18/107.40 tff(111,plain,
% 107.18/107.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.40 inference(quant_inst,[status(thm)],[])).
% 107.18/107.40 tff(112,plain,
% 107.18/107.40 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.40 inference(unit_resolution,[status(thm)],[111, 7])).
% 107.18/107.40 tff(113,plain,
% 107.18/107.40 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.40 inference(symmetry,[status(thm)],[112])).
% 107.18/107.40 tff(114,plain,
% 107.18/107.40 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.40 inference(transitivity,[status(thm)],[113, 110, 93, 90])).
% 107.18/107.40 tff(115,plain,
% 107.18/107.40 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.40 inference(monotonicity,[status(thm)],[114])).
% 107.18/107.40 tff(116,plain,
% 107.18/107.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.18/107.40 inference(quant_inst,[status(thm)],[])).
% 107.18/107.40 tff(117,plain,
% 107.18/107.40 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.40 inference(unit_resolution,[status(thm)],[116, 7])).
% 107.18/107.40 tff(118,plain,
% 107.18/107.40 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.40 inference(symmetry,[status(thm)],[117])).
% 107.18/107.40 tff(119,plain,
% 107.18/107.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.40 inference(quant_inst,[status(thm)],[])).
% 107.18/107.40 tff(120,plain,
% 107.18/107.40 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.40 inference(unit_resolution,[status(thm)],[119, 7])).
% 107.18/107.40 tff(121,plain,
% 107.18/107.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.18/107.40 inference(quant_inst,[status(thm)],[])).
% 107.18/107.40 tff(122,plain,
% 107.18/107.40 (sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.18/107.40 inference(unit_resolution,[status(thm)],[121, 7])).
% 107.18/107.40 tff(123,plain,
% 107.18/107.40 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.18/107.40 inference(monotonicity,[status(thm)],[122])).
% 107.18/107.40 tff(124,plain,
% 107.18/107.40 (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.18/107.40 inference(symmetry,[status(thm)],[123])).
% 107.18/107.40 tff(125,plain,
% 107.18/107.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.40 inference(quant_inst,[status(thm)],[])).
% 107.18/107.40 tff(126,plain,
% 107.18/107.40 (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.18/107.40 inference(unit_resolution,[status(thm)],[125, 7])).
% 107.18/107.40 tff(127,plain,
% 107.18/107.40 (sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.18/107.40 inference(symmetry,[status(thm)],[126])).
% 107.18/107.40 tff(128,plain,
% 107.18/107.40 (sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.18/107.41 inference(transitivity,[status(thm)],[127, 124])).
% 107.18/107.41 tff(129,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[128])).
% 107.18/107.41 tff(130,plain,
% 107.18/107.41 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[129])).
% 107.18/107.41 tff(131,plain,
% 107.18/107.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(quant_inst,[status(thm)],[])).
% 107.18/107.41 tff(132,plain,
% 107.18/107.41 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(unit_resolution,[status(thm)],[131, 7])).
% 107.18/107.41 tff(133,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[132])).
% 107.18/107.41 tff(134,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(transitivity,[status(thm)],[133, 130])).
% 107.18/107.41 tff(135,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[134])).
% 107.18/107.41 tff(136,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[135])).
% 107.18/107.41 tff(137,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(transitivity,[status(thm)],[136, 120])).
% 107.18/107.41 tff(138,plain,
% 107.18/107.41 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[137])).
% 107.18/107.41 tff(139,plain,
% 107.18/107.41 (sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[138])).
% 107.18/107.41 tff(140,plain,
% 107.18/107.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.41 inference(quant_inst,[status(thm)],[])).
% 107.18/107.41 tff(141,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(unit_resolution,[status(thm)],[140, 7])).
% 107.18/107.41 tff(142,plain,
% 107.18/107.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(quant_inst,[status(thm)],[])).
% 107.18/107.41 tff(143,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(unit_resolution,[status(thm)],[142, 7])).
% 107.18/107.41 tff(144,plain,
% 107.18/107.41 (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[128])).
% 107.18/107.41 tff(145,plain,
% 107.18/107.41 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[144])).
% 107.18/107.41 tff(146,plain,
% 107.18/107.41 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[145])).
% 107.18/107.41 tff(147,plain,
% 107.18/107.41 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[146])).
% 107.18/107.41 tff(148,plain,
% 107.18/107.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(quant_inst,[status(thm)],[])).
% 107.18/107.41 tff(149,plain,
% 107.18/107.41 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(unit_resolution,[status(thm)],[148, 7])).
% 107.18/107.41 tff(150,plain,
% 107.18/107.41 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[149])).
% 107.18/107.41 tff(151,plain,
% 107.18/107.41 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(transitivity,[status(thm)],[150, 147])).
% 107.18/107.41 tff(152,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[151])).
% 107.18/107.41 tff(153,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[152])).
% 107.18/107.41 tff(154,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.41 inference(transitivity,[status(thm)],[153, 143])).
% 107.18/107.41 tff(155,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[154])).
% 107.18/107.41 tff(156,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(monotonicity,[status(thm)],[152])).
% 107.18/107.41 tff(157,plain,
% 107.18/107.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.41 inference(quant_inst,[status(thm)],[])).
% 107.18/107.41 tff(158,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(unit_resolution,[status(thm)],[157, 7])).
% 107.18/107.41 tff(159,plain,
% 107.18/107.41 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.41 inference(symmetry,[status(thm)],[158])).
% 107.18/107.41 tff(160,plain,
% 107.18/107.41 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.41 inference(transitivity,[status(thm)],[146, 149])).
% 107.18/107.41 tff(161,plain,
% 107.18/107.41 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[160])).
% 107.18/107.42 tff(162,plain,
% 107.18/107.42 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[161])).
% 107.18/107.42 tff(163,plain,
% 107.18/107.42 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.42 inference(transitivity,[status(thm)],[162, 159, 156, 155, 141, 139])).
% 107.18/107.42 tff(164,plain,
% 107.18/107.42 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[163])).
% 107.18/107.42 tff(165,plain,
% 107.18/107.42 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[123])).
% 107.18/107.42 tff(166,plain,
% 107.18/107.42 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.42 inference(symmetry,[status(thm)],[165])).
% 107.18/107.42 tff(167,plain,
% 107.18/107.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.42 inference(quant_inst,[status(thm)],[])).
% 107.18/107.42 tff(168,plain,
% 107.18/107.42 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.42 inference(unit_resolution,[status(thm)],[167, 7])).
% 107.18/107.42 tff(169,plain,
% 107.18/107.42 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.42 inference(symmetry,[status(thm)],[168])).
% 107.18/107.42 tff(170,plain,
% 107.18/107.42 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.42 inference(transitivity,[status(thm)],[169, 166])).
% 107.18/107.42 tff(171,plain,
% 107.18/107.42 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[170])).
% 107.18/107.42 tff(172,plain,
% 107.18/107.42 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[171])).
% 107.18/107.42 tff(173,plain,
% 107.18/107.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.42 inference(quant_inst,[status(thm)],[])).
% 107.18/107.42 tff(174,plain,
% 107.18/107.42 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.42 inference(unit_resolution,[status(thm)],[173, 7])).
% 107.18/107.42 tff(175,plain,
% 107.18/107.42 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.42 inference(symmetry,[status(thm)],[174])).
% 107.18/107.42 tff(176,plain,
% 107.18/107.42 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[170])).
% 107.18/107.42 tff(177,plain,
% 107.18/107.42 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.42 inference(symmetry,[status(thm)],[176])).
% 107.18/107.42 tff(178,plain,
% 107.18/107.42 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[177])).
% 107.18/107.42 tff(179,plain,
% 107.18/107.42 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.42 inference(transitivity,[status(thm)],[178, 175, 172])).
% 107.18/107.42 tff(180,plain,
% 107.18/107.42 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[179])).
% 107.18/107.42 tff(181,plain,
% 107.18/107.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.42 inference(quant_inst,[status(thm)],[])).
% 107.18/107.42 tff(182,plain,
% 107.18/107.42 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.42 inference(unit_resolution,[status(thm)],[181, 7])).
% 107.18/107.42 tff(183,plain,
% 107.18/107.42 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.42 inference(symmetry,[status(thm)],[182])).
% 107.18/107.42 tff(184,plain,
% 107.18/107.42 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.42 inference(transitivity,[status(thm)],[183, 180])).
% 107.18/107.42 tff(185,plain,
% 107.18/107.42 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.42 inference(monotonicity,[status(thm)],[184])).
% 107.18/107.42 tff(186,plain,
% 107.18/107.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.43 inference(quant_inst,[status(thm)],[])).
% 107.18/107.43 tff(187,plain,
% 107.18/107.43 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.43 inference(unit_resolution,[status(thm)],[186, 7])).
% 107.18/107.43 tff(188,plain,
% 107.18/107.43 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.43 inference(symmetry,[status(thm)],[187])).
% 107.18/107.43 tff(189,plain,
% 107.18/107.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.43 inference(quant_inst,[status(thm)],[])).
% 107.18/107.43 tff(190,plain,
% 107.18/107.43 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.43 inference(unit_resolution,[status(thm)],[189, 7])).
% 107.18/107.43 tff(191,plain,
% 107.18/107.43 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.43 inference(symmetry,[status(thm)],[190])).
% 107.18/107.43 tff(192,plain,
% 107.18/107.43 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.43 inference(monotonicity,[status(thm)],[191])).
% 107.18/107.43 tff(193,plain,
% 107.18/107.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.18/107.43 inference(quant_inst,[status(thm)],[])).
% 107.18/107.43 tff(194,plain,
% 107.18/107.43 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.43 inference(unit_resolution,[status(thm)],[193, 7])).
% 107.18/107.43 tff(195,plain,
% 107.18/107.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.43 inference(quant_inst,[status(thm)],[])).
% 107.18/107.43 tff(196,plain,
% 107.18/107.43 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.43 inference(unit_resolution,[status(thm)],[195, 7])).
% 107.18/107.43 tff(197,plain,
% 107.18/107.43 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.43 inference(monotonicity,[status(thm)],[179])).
% 107.18/107.43 tff(198,plain,
% 107.18/107.43 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.43 inference(symmetry,[status(thm)],[197])).
% 107.18/107.43 tff(199,plain,
% 107.18/107.43 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.43 inference(transitivity,[status(thm)],[198, 196])).
% 107.18/107.43 tff(200,plain,
% 107.18/107.43 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.43 inference(monotonicity,[status(thm)],[199])).
% 107.18/107.43 tff(201,plain,
% 107.18/107.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.43 inference(quant_inst,[status(thm)],[])).
% 107.18/107.43 tff(202,plain,
% 107.18/107.43 (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.43 inference(unit_resolution,[status(thm)],[201, 7])).
% 107.18/107.43 tff(203,plain,
% 107.18/107.43 (sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.43 inference(symmetry,[status(thm)],[202])).
% 107.18/107.43 tff(204,plain,
% 107.18/107.43 (sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.18/107.43 inference(transitivity,[status(thm)],[203, 144])).
% 107.18/107.43 tff(205,plain,
% 107.18/107.43 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.43 inference(monotonicity,[status(thm)],[204])).
% 107.18/107.43 tff(206,plain,
% 107.18/107.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.43 inference(quant_inst,[status(thm)],[])).
% 107.18/107.43 tff(207,plain,
% 107.18/107.43 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.43 inference(unit_resolution,[status(thm)],[206, 7])).
% 107.18/107.43 tff(208,plain,
% 107.18/107.43 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.43 inference(symmetry,[status(thm)],[207])).
% 107.18/107.43 tff(209,plain,
% 107.18/107.43 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.18/107.43 inference(transitivity,[status(thm)],[208, 205])).
% 107.18/107.43 tff(210,plain,
% 107.18/107.43 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.44 inference(monotonicity,[status(thm)],[209])).
% 107.18/107.44 tff(211,plain,
% 107.18/107.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.44 inference(quant_inst,[status(thm)],[])).
% 107.18/107.44 tff(212,plain,
% 107.18/107.44 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.44 inference(unit_resolution,[status(thm)],[211, 7])).
% 107.18/107.44 tff(213,plain,
% 107.18/107.44 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.44 inference(symmetry,[status(thm)],[212])).
% 107.18/107.44 tff(214,plain,
% 107.18/107.44 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.18/107.44 inference(transitivity,[status(thm)],[213, 210, 178, 175, 172])).
% 107.18/107.44 tff(215,plain,
% 107.18/107.44 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.44 inference(monotonicity,[status(thm)],[214])).
% 107.18/107.44 tff(216,plain,
% 107.18/107.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.18/107.44 inference(quant_inst,[status(thm)],[])).
% 107.18/107.44 tff(217,plain,
% 107.18/107.44 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.18/107.44 inference(unit_resolution,[status(thm)],[216, 7])).
% 107.28/107.44 tff(218,plain,
% 107.28/107.44 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.44 inference(symmetry,[status(thm)],[217])).
% 107.28/107.44 tff(219,plain,
% 107.28/107.44 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.44 inference(transitivity,[status(thm)],[218, 215])).
% 107.28/107.44 tff(220,plain,
% 107.28/107.44 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.44 inference(monotonicity,[status(thm)],[219])).
% 107.28/107.44 tff(221,plain,
% 107.28/107.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.44 inference(quant_inst,[status(thm)],[])).
% 107.28/107.44 tff(222,plain,
% 107.28/107.44 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.44 inference(unit_resolution,[status(thm)],[221, 7])).
% 107.28/107.44 tff(223,plain,
% 107.28/107.44 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.44 inference(symmetry,[status(thm)],[222])).
% 107.28/107.44 tff(224,plain,
% 107.28/107.44 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.44 inference(transitivity,[status(thm)],[223, 220, 200, 194, 192, 188, 185, 164])).
% 107.28/107.44 tff(225,plain,
% 107.28/107.44 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.44 inference(monotonicity,[status(thm)],[224])).
% 107.28/107.44 tff(226,plain,
% 107.28/107.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.28/107.44 inference(quant_inst,[status(thm)],[])).
% 107.28/107.44 tff(227,plain,
% 107.28/107.44 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.44 inference(unit_resolution,[status(thm)],[226, 7])).
% 107.28/107.44 tff(228,plain,
% 107.28/107.44 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.44 inference(symmetry,[status(thm)],[227])).
% 107.28/107.44 tff(229,plain,
% 107.28/107.44 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.44 inference(transitivity,[status(thm)],[228, 225, 118, 115])).
% 107.28/107.44 tff(230,plain,
% 107.28/107.44 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.44 inference(monotonicity,[status(thm)],[94])).
% 107.28/107.44 tff(231,plain,
% 107.28/107.44 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.44 inference(symmetry,[status(thm)],[230])).
% 107.28/107.44 tff(232,plain,
% 107.28/107.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.44 inference(quant_inst,[status(thm)],[])).
% 107.28/107.44 tff(233,plain,
% 107.28/107.44 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.44 inference(unit_resolution,[status(thm)],[232, 7])).
% 107.28/107.44 tff(234,plain,
% 107.28/107.44 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.44 inference(symmetry,[status(thm)],[233])).
% 107.28/107.44 tff(235,plain,
% 107.28/107.44 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.44 inference(transitivity,[status(thm)],[234, 231])).
% 107.28/107.44 tff(236,plain,
% 107.28/107.44 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.44 inference(monotonicity,[status(thm)],[235])).
% 107.28/107.44 tff(237,plain,
% 107.28/107.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.44 inference(quant_inst,[status(thm)],[])).
% 107.28/107.44 tff(238,plain,
% 107.28/107.44 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.44 inference(unit_resolution,[status(thm)],[237, 7])).
% 107.28/107.44 tff(239,plain,
% 107.28/107.44 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[238])).
% 107.28/107.45 tff(240,plain,
% 107.28/107.45 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.45 inference(transitivity,[status(thm)],[239, 236])).
% 107.28/107.45 tff(241,plain,
% 107.28/107.45 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.45 inference(monotonicity,[status(thm)],[240])).
% 107.28/107.45 tff(242,plain,
% 107.28/107.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.45 inference(quant_inst,[status(thm)],[])).
% 107.28/107.45 tff(243,plain,
% 107.28/107.45 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.45 inference(unit_resolution,[status(thm)],[242, 7])).
% 107.28/107.45 tff(244,plain,
% 107.28/107.45 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[243])).
% 107.28/107.45 tff(245,plain,
% 107.28/107.45 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.45 inference(transitivity,[status(thm)],[244, 241])).
% 107.28/107.45 tff(246,plain,
% 107.28/107.45 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.45 inference(monotonicity,[status(thm)],[245])).
% 107.28/107.45 tff(247,plain,
% 107.28/107.45 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[246])).
% 107.28/107.45 tff(248,plain,
% 107.28/107.45 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[100])).
% 107.28/107.45 tff(249,plain,
% 107.28/107.45 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.45 inference(monotonicity,[status(thm)],[248])).
% 107.28/107.45 tff(250,plain,
% 107.28/107.45 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[249])).
% 107.28/107.45 tff(251,plain,
% 107.28/107.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.45 inference(quant_inst,[status(thm)],[])).
% 107.28/107.45 tff(252,plain,
% 107.28/107.45 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.45 inference(unit_resolution,[status(thm)],[251, 7])).
% 107.28/107.45 tff(253,plain,
% 107.28/107.45 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[252])).
% 107.28/107.45 tff(254,plain,
% 107.28/107.45 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.45 inference(transitivity,[status(thm)],[253, 250])).
% 107.28/107.45 tff(255,plain,
% 107.28/107.45 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.45 inference(monotonicity,[status(thm)],[254])).
% 107.28/107.45 tff(256,plain,
% 107.28/107.45 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[255])).
% 107.28/107.45 tff(257,plain,
% 107.28/107.45 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.45 inference(monotonicity,[status(thm)],[256])).
% 107.28/107.45 tff(258,plain,
% 107.28/107.45 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.45 inference(symmetry,[status(thm)],[257])).
% 107.28/107.45 tff(259,plain,
% 107.28/107.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.28/107.45 inference(quant_inst,[status(thm)],[])).
% 107.28/107.45 tff(260,plain,
% 107.28/107.45 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.45 inference(unit_resolution,[status(thm)],[259, 7])).
% 107.28/107.45 tff(261,plain,
% 107.28/107.45 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.46 inference(monotonicity,[status(thm)],[98])).
% 107.28/107.46 tff(262,plain,
% 107.28/107.46 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[261])).
% 107.28/107.46 tff(263,plain,
% 107.28/107.46 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(monotonicity,[status(thm)],[262])).
% 107.28/107.46 tff(264,plain,
% 107.28/107.46 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[263])).
% 107.28/107.46 tff(265,plain,
% 107.28/107.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.46 inference(quant_inst,[status(thm)],[])).
% 107.28/107.46 tff(266,plain,
% 107.28/107.46 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(unit_resolution,[status(thm)],[265, 7])).
% 107.28/107.46 tff(267,plain,
% 107.28/107.46 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[266])).
% 107.28/107.46 tff(268,plain,
% 107.28/107.46 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(monotonicity,[status(thm)],[100])).
% 107.28/107.46 tff(269,plain,
% 107.28/107.46 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[268])).
% 107.28/107.46 tff(270,plain,
% 107.28/107.46 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(transitivity,[status(thm)],[269, 267, 264])).
% 107.28/107.46 tff(271,plain,
% 107.28/107.46 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.46 inference(monotonicity,[status(thm)],[270])).
% 107.28/107.46 tff(272,plain,
% 107.28/107.46 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[271])).
% 107.28/107.46 tff(273,plain,
% 107.28/107.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.46 inference(quant_inst,[status(thm)],[])).
% 107.28/107.46 tff(274,plain,
% 107.28/107.46 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.46 inference(unit_resolution,[status(thm)],[273, 7])).
% 107.28/107.46 tff(275,plain,
% 107.28/107.46 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[274])).
% 107.28/107.46 tff(276,plain,
% 107.28/107.46 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(monotonicity,[status(thm)],[262])).
% 107.28/107.46 tff(277,plain,
% 107.28/107.46 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[276])).
% 107.28/107.46 tff(278,plain,
% 107.28/107.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.46 inference(quant_inst,[status(thm)],[])).
% 107.28/107.46 tff(279,plain,
% 107.28/107.46 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(unit_resolution,[status(thm)],[278, 7])).
% 107.28/107.46 tff(280,plain,
% 107.28/107.46 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(symmetry,[status(thm)],[279])).
% 107.28/107.46 tff(281,plain,
% 107.28/107.46 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.46 inference(transitivity,[status(thm)],[280, 277])).
% 107.28/107.46 tff(282,plain,
% 107.28/107.46 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.46 inference(monotonicity,[status(thm)],[281])).
% 107.28/107.46 tff(283,plain,
% 107.28/107.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.47 inference(quant_inst,[status(thm)],[])).
% 107.28/107.47 tff(284,plain,
% 107.28/107.47 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(unit_resolution,[status(thm)],[283, 7])).
% 107.28/107.47 tff(285,plain,
% 107.28/107.47 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(symmetry,[status(thm)],[284])).
% 107.28/107.47 tff(286,plain,
% 107.28/107.47 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(transitivity,[status(thm)],[285, 282, 275, 272])).
% 107.28/107.47 tff(287,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.47 inference(monotonicity,[status(thm)],[286])).
% 107.28/107.47 tff(288,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.47 inference(symmetry,[status(thm)],[287])).
% 107.28/107.47 tff(289,plain,
% 107.28/107.47 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.47 inference(transitivity,[status(thm)],[230, 233])).
% 107.28/107.47 tff(290,plain,
% 107.28/107.47 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.47 inference(monotonicity,[status(thm)],[289])).
% 107.28/107.47 tff(291,plain,
% 107.28/107.47 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.47 inference(symmetry,[status(thm)],[290])).
% 107.28/107.47 tff(292,plain,
% 107.28/107.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(quant_inst,[status(thm)],[])).
% 107.28/107.47 tff(293,plain,
% 107.28/107.47 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.47 inference(unit_resolution,[status(thm)],[292, 7])).
% 107.28/107.47 tff(294,plain,
% 107.28/107.47 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.47 inference(symmetry,[status(thm)],[293])).
% 107.28/107.47 tff(295,plain,
% 107.28/107.47 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.47 inference(transitivity,[status(thm)],[294, 291])).
% 107.28/107.47 tff(296,plain,
% 107.28/107.47 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(monotonicity,[status(thm)],[295])).
% 107.28/107.47 tff(297,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.47 inference(monotonicity,[status(thm)],[296])).
% 107.28/107.47 tff(298,plain,
% 107.28/107.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.28/107.47 inference(quant_inst,[status(thm)],[])).
% 107.28/107.47 tff(299,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.47 inference(unit_resolution,[status(thm)],[298, 7])).
% 107.28/107.47 tff(300,plain,
% 107.28/107.47 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.47 inference(symmetry,[status(thm)],[299])).
% 107.28/107.47 tff(301,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(monotonicity,[status(thm)],[295])).
% 107.28/107.47 tff(302,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(symmetry,[status(thm)],[301])).
% 107.28/107.47 tff(303,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(monotonicity,[status(thm)],[290])).
% 107.28/107.47 tff(304,plain,
% 107.28/107.47 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.47 inference(symmetry,[status(thm)],[303])).
% 107.28/107.48 tff(305,plain,
% 107.28/107.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.48 inference(quant_inst,[status(thm)],[])).
% 107.28/107.48 tff(306,plain,
% 107.28/107.48 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.48 inference(unit_resolution,[status(thm)],[305, 7])).
% 107.28/107.48 tff(307,plain,
% 107.28/107.48 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[235])).
% 107.28/107.48 tff(308,plain,
% 107.28/107.48 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[307])).
% 107.28/107.48 tff(309,plain,
% 107.28/107.48 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[308])).
% 107.28/107.48 tff(310,plain,
% 107.28/107.48 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.48 inference(transitivity,[status(thm)],[309, 306, 304, 302])).
% 107.28/107.48 tff(311,plain,
% 107.28/107.48 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[310])).
% 107.28/107.48 tff(312,plain,
% 107.28/107.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.28/107.48 inference(quant_inst,[status(thm)],[])).
% 107.28/107.48 tff(313,plain,
% 107.28/107.48 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.48 inference(unit_resolution,[status(thm)],[312, 7])).
% 107.28/107.48 tff(314,plain,
% 107.28/107.48 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[313])).
% 107.28/107.48 tff(315,plain,
% 107.28/107.48 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[314])).
% 107.28/107.48 tff(316,plain,
% 107.28/107.48 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[315])).
% 107.28/107.48 tff(317,plain,
% 107.28/107.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.48 inference(quant_inst,[status(thm)],[])).
% 107.28/107.48 tff(318,plain,
% 107.28/107.48 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(unit_resolution,[status(thm)],[317, 7])).
% 107.28/107.48 tff(319,plain,
% 107.28/107.48 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[318])).
% 107.28/107.48 tff(320,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[122])).
% 107.28/107.48 tff(321,plain,
% 107.28/107.48 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[320])).
% 107.28/107.48 tff(322,plain,
% 107.28/107.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.28/107.48 inference(quant_inst,[status(thm)],[])).
% 107.28/107.48 tff(323,plain,
% 107.28/107.48 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.48 inference(unit_resolution,[status(thm)],[322, 7])).
% 107.28/107.48 tff(324,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[323])).
% 107.28/107.48 tff(325,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.48 inference(transitivity,[status(thm)],[324, 321, 313])).
% 107.28/107.48 tff(326,plain,
% 107.28/107.48 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[325])).
% 107.28/107.48 tff(327,plain,
% 107.28/107.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(quant_inst,[status(thm)],[])).
% 107.28/107.48 tff(328,plain,
% 107.28/107.48 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.28/107.48 inference(unit_resolution,[status(thm)],[327, 7])).
% 107.28/107.48 tff(329,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[328])).
% 107.28/107.48 tff(330,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.28/107.48 inference(transitivity,[status(thm)],[329, 326])).
% 107.28/107.48 tff(331,plain,
% 107.28/107.48 (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[330])).
% 107.28/107.48 tff(332,plain,
% 107.28/107.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.48 inference(quant_inst,[status(thm)],[])).
% 107.28/107.48 tff(333,plain,
% 107.28/107.48 (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(unit_resolution,[status(thm)],[332, 7])).
% 107.28/107.48 tff(334,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[333])).
% 107.28/107.48 tff(335,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.28/107.48 inference(transitivity,[status(thm)],[334, 331, 319, 316])).
% 107.28/107.48 tff(336,plain,
% 107.28/107.48 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.48 inference(monotonicity,[status(thm)],[335])).
% 107.28/107.48 tff(337,plain,
% 107.28/107.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.48 inference(quant_inst,[status(thm)],[])).
% 107.28/107.48 tff(338,plain,
% 107.28/107.48 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.48 inference(unit_resolution,[status(thm)],[337, 7])).
% 107.28/107.48 tff(339,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.48 inference(symmetry,[status(thm)],[338])).
% 107.28/107.48 tff(340,plain,
% 107.28/107.48 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.28/107.49 inference(transitivity,[status(thm)],[339, 336])).
% 107.28/107.49 tff(341,plain,
% 107.28/107.49 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.49 inference(monotonicity,[status(thm)],[340])).
% 107.28/107.49 tff(342,plain,
% 107.28/107.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.49 inference(quant_inst,[status(thm)],[])).
% 107.28/107.49 tff(343,plain,
% 107.28/107.49 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.49 inference(unit_resolution,[status(thm)],[342, 7])).
% 107.28/107.49 tff(344,plain,
% 107.28/107.49 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.49 inference(symmetry,[status(thm)],[343])).
% 107.28/107.49 tff(345,plain,
% 107.28/107.49 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.28/107.49 inference(transitivity,[status(thm)],[344, 341])).
% 107.28/107.49 tff(346,plain,
% 107.28/107.49 (sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.49 inference(monotonicity,[status(thm)],[345])).
% 107.28/107.49 tff(347,plain,
% 107.28/107.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.49 inference(quant_inst,[status(thm)],[])).
% 107.28/107.49 tff(348,plain,
% 107.28/107.49 (sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.49 inference(unit_resolution,[status(thm)],[347, 7])).
% 107.28/107.49 tff(349,plain,
% 107.28/107.49 (sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.49 inference(symmetry,[status(thm)],[348])).
% 107.28/107.49 tff(350,plain,
% 107.28/107.49 (sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.28/107.49 inference(transitivity,[status(thm)],[349, 346])).
% 107.28/107.49 tff(351,plain,
% 107.28/107.49 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.49 inference(monotonicity,[status(thm)],[350])).
% 107.28/107.49 tff(352,plain,
% 107.28/107.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.28/107.49 inference(quant_inst,[status(thm)],[])).
% 107.28/107.49 tff(353,plain,
% 107.28/107.49 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.49 inference(unit_resolution,[status(thm)],[352, 7])).
% 107.28/107.49 tff(354,plain,
% 107.28/107.49 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.28/107.49 inference(symmetry,[status(thm)],[353])).
% 107.28/107.49 tff(355,plain,
% 107.28/107.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))) = sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.28/107.49 inference(quant_inst,[status(thm)],[])).
% 107.28/107.49 tff(356,plain,
% 107.28/107.49 (sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))) = sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))),
% 107.28/107.49 inference(unit_resolution,[status(thm)],[355, 7])).
% 107.28/107.49 tff(357,plain,
% 107.28/107.49 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.28/107.49 inference(monotonicity,[status(thm)],[356])).
% 107.28/107.49 tff(358,plain,
% 107.28/107.49 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.28/107.49 inference(monotonicity,[status(thm)],[357])).
% 107.28/107.49 tff(359,plain,
% 107.28/107.49 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.28/107.49 inference(symmetry,[status(thm)],[358])).
% 107.28/107.49 tff(360,plain,
% 107.28/107.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.49 inference(quant_inst,[status(thm)],[])).
% 107.28/107.49 tff(361,plain,
% 107.28/107.49 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.28/107.49 inference(unit_resolution,[status(thm)],[360, 7])).
% 107.28/107.49 tff(362,plain,
% 107.28/107.49 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.28/107.49 inference(symmetry,[status(thm)],[361])).
% 107.28/107.49 tff(363,plain,
% 107.28/107.49 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.28/107.49 inference(transitivity,[status(thm)],[362, 359])).
% 107.28/107.49 tff(364,plain,
% 107.28/107.49 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.49 inference(monotonicity,[status(thm)],[363])).
% 107.28/107.49 tff(365,plain,
% 107.28/107.49 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.28/107.49 inference(symmetry,[status(thm)],[364])).
% 107.28/107.49 tff(366,plain,
% 107.28/107.49 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[365])).
% 107.33/107.50 tff(367,plain,
% 107.33/107.50 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[366])).
% 107.33/107.50 tff(368,plain,
% 107.33/107.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.50 inference(quant_inst,[status(thm)],[])).
% 107.33/107.50 tff(369,plain,
% 107.33/107.50 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.50 inference(unit_resolution,[status(thm)],[368, 7])).
% 107.33/107.50 tff(370,plain,
% 107.33/107.50 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[369])).
% 107.33/107.50 tff(371,plain,
% 107.33/107.50 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.50 inference(transitivity,[status(thm)],[370, 367])).
% 107.33/107.50 tff(372,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[371])).
% 107.33/107.50 tff(373,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[372])).
% 107.33/107.50 tff(374,plain,
% 107.33/107.50 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[373])).
% 107.33/107.50 tff(375,plain,
% 107.33/107.50 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[374])).
% 107.33/107.50 tff(376,plain,
% 107.33/107.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(quant_inst,[status(thm)],[])).
% 107.33/107.50 tff(377,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(unit_resolution,[status(thm)],[376, 7])).
% 107.33/107.50 tff(378,plain,
% 107.33/107.50 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[371])).
% 107.33/107.50 tff(379,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[378])).
% 107.33/107.50 tff(380,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[379])).
% 107.33/107.50 tff(381,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(transitivity,[status(thm)],[380, 377, 375])).
% 107.33/107.50 tff(382,plain,
% 107.33/107.50 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[381])).
% 107.33/107.50 tff(383,plain,
% 107.33/107.50 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[382])).
% 107.33/107.50 tff(384,plain,
% 107.33/107.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.50 inference(quant_inst,[status(thm)],[])).
% 107.33/107.50 tff(385,plain,
% 107.33/107.50 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(unit_resolution,[status(thm)],[384, 7])).
% 107.33/107.50 tff(386,plain,
% 107.33/107.50 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[371])).
% 107.33/107.50 tff(387,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[386])).
% 107.33/107.50 tff(388,plain,
% 107.33/107.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(quant_inst,[status(thm)],[])).
% 107.33/107.50 tff(389,plain,
% 107.33/107.50 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(unit_resolution,[status(thm)],[388, 7])).
% 107.33/107.50 tff(390,plain,
% 107.33/107.50 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[389])).
% 107.33/107.50 tff(391,plain,
% 107.33/107.50 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[373])).
% 107.33/107.50 tff(392,plain,
% 107.33/107.50 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.50 inference(transitivity,[status(thm)],[391, 390, 387])).
% 107.33/107.50 tff(393,plain,
% 107.33/107.50 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[392])).
% 107.33/107.50 tff(394,plain,
% 107.33/107.50 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[393])).
% 107.33/107.50 tff(395,plain,
% 107.33/107.50 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.50 inference(transitivity,[status(thm)],[394, 385, 383])).
% 107.33/107.50 tff(396,plain,
% 107.33/107.50 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.50 inference(monotonicity,[status(thm)],[395])).
% 107.33/107.50 tff(397,plain,
% 107.33/107.50 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.50 inference(symmetry,[status(thm)],[396])).
% 107.33/107.50 tff(398,plain,
% 107.33/107.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.33/107.50 inference(quant_inst,[status(thm)],[])).
% 107.33/107.51 tff(399,plain,
% 107.33/107.51 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.51 inference(unit_resolution,[status(thm)],[398, 7])).
% 107.33/107.51 tff(400,plain,
% 107.33/107.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.51 inference(quant_inst,[status(thm)],[])).
% 107.33/107.51 tff(401,plain,
% 107.33/107.51 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.51 inference(unit_resolution,[status(thm)],[400, 7])).
% 107.33/107.51 tff(402,plain,
% 107.33/107.51 (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[357])).
% 107.33/107.51 tff(403,plain,
% 107.33/107.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.33/107.51 inference(quant_inst,[status(thm)],[])).
% 107.33/107.51 tff(404,plain,
% 107.33/107.51 (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.33/107.51 inference(unit_resolution,[status(thm)],[403, 7])).
% 107.33/107.51 tff(405,plain,
% 107.33/107.51 (sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[404])).
% 107.33/107.51 tff(406,plain,
% 107.33/107.51 (sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.33/107.51 inference(transitivity,[status(thm)],[405, 402])).
% 107.33/107.51 tff(407,plain,
% 107.33/107.51 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.33/107.51 inference(monotonicity,[status(thm)],[406])).
% 107.33/107.51 tff(408,plain,
% 107.33/107.51 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[407])).
% 107.33/107.51 tff(409,plain,
% 107.33/107.51 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.51 inference(monotonicity,[status(thm)],[408])).
% 107.33/107.51 tff(410,plain,
% 107.33/107.51 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[409])).
% 107.33/107.51 tff(411,plain,
% 107.33/107.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.51 inference(quant_inst,[status(thm)],[])).
% 107.33/107.51 tff(412,plain,
% 107.33/107.51 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.51 inference(unit_resolution,[status(thm)],[411, 7])).
% 107.33/107.51 tff(413,plain,
% 107.33/107.51 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[412])).
% 107.33/107.51 tff(414,plain,
% 107.33/107.51 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.51 inference(transitivity,[status(thm)],[413, 410])).
% 107.33/107.51 tff(415,plain,
% 107.33/107.51 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.51 inference(monotonicity,[status(thm)],[414])).
% 107.33/107.51 tff(416,plain,
% 107.33/107.51 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.51 inference(monotonicity,[status(thm)],[415])).
% 107.33/107.51 tff(417,plain,
% 107.33/107.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.51 inference(quant_inst,[status(thm)],[])).
% 107.33/107.51 tff(418,plain,
% 107.33/107.51 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.51 inference(unit_resolution,[status(thm)],[417, 7])).
% 107.33/107.51 tff(419,plain,
% 107.33/107.51 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[418])).
% 107.33/107.51 tff(420,plain,
% 107.33/107.51 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.51 inference(transitivity,[status(thm)],[419, 416])).
% 107.33/107.51 tff(421,plain,
% 107.33/107.51 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.51 inference(monotonicity,[status(thm)],[420])).
% 107.33/107.51 tff(422,plain,
% 107.33/107.51 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[421])).
% 107.33/107.51 tff(423,plain,
% 107.33/107.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.51 inference(quant_inst,[status(thm)],[])).
% 107.33/107.51 tff(424,plain,
% 107.33/107.51 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.51 inference(unit_resolution,[status(thm)],[423, 7])).
% 107.33/107.51 tff(425,plain,
% 107.33/107.51 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.51 inference(symmetry,[status(thm)],[424])).
% 107.33/107.51 tff(426,plain,
% 107.33/107.51 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.51 inference(transitivity,[status(thm)],[425, 422, 401])).
% 107.33/107.51 tff(427,plain,
% 107.33/107.51 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[426])).
% 107.33/107.52 tff(428,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.52 inference(symmetry,[status(thm)],[427])).
% 107.33/107.52 tff(429,plain,
% 107.33/107.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.52 inference(quant_inst,[status(thm)],[])).
% 107.33/107.52 tff(430,plain,
% 107.33/107.52 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.52 inference(unit_resolution,[status(thm)],[429, 7])).
% 107.33/107.52 tff(431,plain,
% 107.33/107.52 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[363])).
% 107.33/107.52 tff(432,plain,
% 107.33/107.52 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.52 inference(symmetry,[status(thm)],[431])).
% 107.33/107.52 tff(433,plain,
% 107.33/107.52 (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[406])).
% 107.33/107.52 tff(434,plain,
% 107.33/107.52 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.33/107.52 inference(symmetry,[status(thm)],[433])).
% 107.33/107.52 tff(435,plain,
% 107.33/107.52 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[434])).
% 107.33/107.52 tff(436,plain,
% 107.33/107.52 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.52 inference(symmetry,[status(thm)],[435])).
% 107.33/107.52 tff(437,plain,
% 107.33/107.52 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.52 inference(transitivity,[status(thm)],[409, 412, 436, 432])).
% 107.33/107.52 tff(438,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[437])).
% 107.33/107.52 tff(439,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[414])).
% 107.33/107.52 tff(440,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.52 inference(transitivity,[status(thm)],[439, 438, 370, 367])).
% 107.33/107.52 tff(441,plain,
% 107.33/107.52 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[440])).
% 107.33/107.52 tff(442,plain,
% 107.33/107.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.52 inference(quant_inst,[status(thm)],[])).
% 107.33/107.52 tff(443,plain,
% 107.33/107.52 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.52 inference(unit_resolution,[status(thm)],[442, 7])).
% 107.33/107.52 tff(444,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.52 inference(symmetry,[status(thm)],[443])).
% 107.33/107.52 tff(445,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.52 inference(transitivity,[status(thm)],[444, 441])).
% 107.33/107.52 tff(446,plain,
% 107.33/107.52 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[445])).
% 107.33/107.52 tff(447,plain,
% 107.33/107.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.52 inference(quant_inst,[status(thm)],[])).
% 107.33/107.52 tff(448,plain,
% 107.33/107.52 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.52 inference(unit_resolution,[status(thm)],[447, 7])).
% 107.33/107.52 tff(449,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.52 inference(symmetry,[status(thm)],[448])).
% 107.33/107.52 tff(450,plain,
% 107.33/107.52 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.52 inference(transitivity,[status(thm)],[449, 446])).
% 107.33/107.52 tff(451,plain,
% 107.33/107.52 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.52 inference(monotonicity,[status(thm)],[450])).
% 107.33/107.52 tff(452,plain,
% 107.33/107.52 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.52 inference(symmetry,[status(thm)],[451])).
% 107.33/107.52 tff(453,plain,
% 107.33/107.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.52 inference(quant_inst,[status(thm)],[])).
% 107.33/107.52 tff(454,plain,
% 107.33/107.52 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(unit_resolution,[status(thm)],[453, 7])).
% 107.33/107.53 tff(455,plain,
% 107.33/107.53 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.53 inference(monotonicity,[status(thm)],[440])).
% 107.33/107.53 tff(456,plain,
% 107.33/107.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(quant_inst,[status(thm)],[])).
% 107.33/107.53 tff(457,plain,
% 107.33/107.53 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.53 inference(unit_resolution,[status(thm)],[456, 7])).
% 107.33/107.53 tff(458,plain,
% 107.33/107.53 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[457])).
% 107.33/107.53 tff(459,plain,
% 107.33/107.53 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[415])).
% 107.33/107.53 tff(460,plain,
% 107.33/107.53 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.53 inference(monotonicity,[status(thm)],[459])).
% 107.33/107.53 tff(461,plain,
% 107.33/107.53 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.53 inference(transitivity,[status(thm)],[460, 458, 455])).
% 107.33/107.53 tff(462,plain,
% 107.33/107.53 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(monotonicity,[status(thm)],[461])).
% 107.33/107.53 tff(463,plain,
% 107.33/107.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(quant_inst,[status(thm)],[])).
% 107.33/107.53 tff(464,plain,
% 107.33/107.53 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(unit_resolution,[status(thm)],[463, 7])).
% 107.33/107.53 tff(465,plain,
% 107.33/107.53 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(monotonicity,[status(thm)],[420])).
% 107.33/107.53 tff(466,plain,
% 107.33/107.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(quant_inst,[status(thm)],[])).
% 107.33/107.53 tff(467,plain,
% 107.33/107.53 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(unit_resolution,[status(thm)],[466, 7])).
% 107.33/107.53 tff(468,plain,
% 107.33/107.53 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[467])).
% 107.33/107.53 tff(469,plain,
% 107.33/107.53 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[441])).
% 107.33/107.53 tff(470,plain,
% 107.33/107.53 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.53 inference(transitivity,[status(thm)],[469, 443])).
% 107.33/107.53 tff(471,plain,
% 107.33/107.53 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(monotonicity,[status(thm)],[470])).
% 107.33/107.53 tff(472,plain,
% 107.33/107.53 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(transitivity,[status(thm)],[471, 468, 465, 464, 462])).
% 107.33/107.53 tff(473,plain,
% 107.33/107.53 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(monotonicity,[status(thm)],[472])).
% 107.33/107.53 tff(474,plain,
% 107.33/107.53 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[473])).
% 107.33/107.53 tff(475,plain,
% 107.33/107.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.53 inference(quant_inst,[status(thm)],[])).
% 107.33/107.53 tff(476,plain,
% 107.33/107.53 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(unit_resolution,[status(thm)],[475, 7])).
% 107.33/107.53 tff(477,plain,
% 107.33/107.53 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[476])).
% 107.33/107.53 tff(478,plain,
% 107.33/107.53 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(transitivity,[status(thm)],[477, 474, 454, 452, 430, 428])).
% 107.33/107.53 tff(479,plain,
% 107.33/107.53 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.53 inference(monotonicity,[status(thm)],[478])).
% 107.33/107.53 tff(480,plain,
% 107.33/107.53 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[479])).
% 107.33/107.53 tff(481,plain,
% 107.33/107.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.33/107.53 inference(quant_inst,[status(thm)],[])).
% 107.33/107.53 tff(482,plain,
% 107.33/107.53 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.53 inference(unit_resolution,[status(thm)],[481, 7])).
% 107.33/107.53 tff(483,plain,
% 107.33/107.53 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.53 inference(symmetry,[status(thm)],[482])).
% 107.33/107.53 tff(484,plain,
% 107.33/107.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.53 inference(quant_inst,[status(thm)],[])).
% 107.33/107.53 tff(485,plain,
% 107.33/107.53 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.53 inference(unit_resolution,[status(thm)],[484, 7])).
% 107.33/107.53 tff(486,plain,
% 107.33/107.53 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.54 inference(monotonicity,[status(thm)],[414])).
% 107.33/107.54 tff(487,plain,
% 107.33/107.54 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.54 inference(monotonicity,[status(thm)],[486])).
% 107.33/107.54 tff(488,plain,
% 107.33/107.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.54 inference(quant_inst,[status(thm)],[])).
% 107.33/107.54 tff(489,plain,
% 107.33/107.54 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.54 inference(unit_resolution,[status(thm)],[488, 7])).
% 107.33/107.54 tff(490,plain,
% 107.33/107.54 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.54 inference(symmetry,[status(thm)],[489])).
% 107.33/107.54 tff(491,plain,
% 107.33/107.54 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.54 inference(transitivity,[status(thm)],[490, 487])).
% 107.33/107.54 tff(492,plain,
% 107.33/107.54 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.54 inference(monotonicity,[status(thm)],[491])).
% 107.33/107.54 tff(493,plain,
% 107.33/107.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.54 inference(quant_inst,[status(thm)],[])).
% 107.33/107.54 tff(494,plain,
% 107.33/107.54 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.54 inference(unit_resolution,[status(thm)],[493, 7])).
% 107.33/107.54 tff(495,plain,
% 107.33/107.54 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.54 inference(symmetry,[status(thm)],[494])).
% 107.33/107.54 tff(496,plain,
% 107.33/107.54 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.54 inference(transitivity,[status(thm)],[495, 492, 485])).
% 107.33/107.54 tff(497,plain,
% 107.33/107.54 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.54 inference(monotonicity,[status(thm)],[496])).
% 107.33/107.54 tff(498,plain,
% 107.33/107.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.54 inference(quant_inst,[status(thm)],[])).
% 107.33/107.54 tff(499,plain,
% 107.33/107.54 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.54 inference(unit_resolution,[status(thm)],[498, 7])).
% 107.33/107.54 tff(500,plain,
% 107.33/107.54 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.54 inference(symmetry,[status(thm)],[499])).
% 107.33/107.54 tff(501,plain,
% 107.33/107.54 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.54 inference(monotonicity,[status(thm)],[426])).
% 107.33/107.54 tff(502,plain,
% 107.33/107.54 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.54 inference(transitivity,[status(thm)],[501, 500, 497])).
% 107.33/107.54 tff(503,plain,
% 107.33/107.54 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.54 inference(monotonicity,[status(thm)],[502])).
% 107.33/107.54 tff(504,plain,
% 107.33/107.54 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.54 inference(symmetry,[status(thm)],[503])).
% 107.33/107.54 tff(505,plain,
% 107.33/107.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.33/107.54 inference(quant_inst,[status(thm)],[])).
% 107.33/107.54 tff(506,plain,
% 107.33/107.54 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.54 inference(unit_resolution,[status(thm)],[505, 7])).
% 107.33/107.54 tff(507,plain,
% 107.33/107.54 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.54 inference(symmetry,[status(thm)],[506])).
% 107.33/107.54 tff(508,plain,
% 107.33/107.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.33/107.54 inference(quant_inst,[status(thm)],[])).
% 107.33/107.54 tff(509,plain,
% 107.33/107.54 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.33/107.55 inference(unit_resolution,[status(thm)],[508, 7])).
% 107.33/107.55 tff(510,plain,
% 107.33/107.55 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[434])).
% 107.33/107.55 tff(511,plain,
% 107.33/107.55 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.55 inference(symmetry,[status(thm)],[510])).
% 107.33/107.55 tff(512,plain,
% 107.33/107.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(quant_inst,[status(thm)],[])).
% 107.33/107.55 tff(513,plain,
% 107.33/107.55 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.55 inference(unit_resolution,[status(thm)],[512, 7])).
% 107.33/107.55 tff(514,plain,
% 107.33/107.55 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.55 inference(symmetry,[status(thm)],[513])).
% 107.33/107.55 tff(515,plain,
% 107.33/107.55 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.55 inference(transitivity,[status(thm)],[514, 511])).
% 107.33/107.55 tff(516,plain,
% 107.33/107.55 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[515])).
% 107.33/107.55 tff(517,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[516])).
% 107.33/107.55 tff(518,plain,
% 107.33/107.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.55 inference(quant_inst,[status(thm)],[])).
% 107.33/107.55 tff(519,plain,
% 107.33/107.55 (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(unit_resolution,[status(thm)],[518, 7])).
% 107.33/107.55 tff(520,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[515])).
% 107.33/107.55 tff(521,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(symmetry,[status(thm)],[520])).
% 107.33/107.55 tff(522,plain,
% 107.33/107.55 (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[521])).
% 107.33/107.55 tff(523,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[364])).
% 107.33/107.55 tff(524,plain,
% 107.33/107.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(quant_inst,[status(thm)],[])).
% 107.33/107.55 tff(525,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(unit_resolution,[status(thm)],[524, 7])).
% 107.33/107.55 tff(526,plain,
% 107.33/107.55 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(symmetry,[status(thm)],[525])).
% 107.33/107.55 tff(527,plain,
% 107.33/107.55 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(transitivity,[status(thm)],[526, 523])).
% 107.33/107.55 tff(528,plain,
% 107.33/107.55 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[527])).
% 107.33/107.55 tff(529,plain,
% 107.33/107.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.33/107.55 inference(quant_inst,[status(thm)],[])).
% 107.33/107.55 tff(530,plain,
% 107.33/107.55 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(unit_resolution,[status(thm)],[529, 7])).
% 107.33/107.55 tff(531,plain,
% 107.33/107.55 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(symmetry,[status(thm)],[530])).
% 107.33/107.55 tff(532,plain,
% 107.33/107.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.33/107.55 inference(quant_inst,[status(thm)],[])).
% 107.33/107.55 tff(533,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(unit_resolution,[status(thm)],[532, 7])).
% 107.33/107.55 tff(534,plain,
% 107.33/107.55 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.33/107.55 inference(transitivity,[status(thm)],[431, 435, 413, 410])).
% 107.33/107.55 tff(535,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(monotonicity,[status(thm)],[534])).
% 107.33/107.55 tff(536,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(symmetry,[status(thm)],[535])).
% 107.33/107.55 tff(537,plain,
% 107.33/107.55 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.33/107.55 inference(transitivity,[status(thm)],[536, 533])).
% 107.33/107.55 tff(538,plain,
% 107.33/107.55 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.55 inference(monotonicity,[status(thm)],[537])).
% 107.39/107.55 tff(539,plain,
% 107.39/107.55 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.55 inference(transitivity,[status(thm)],[538, 531, 528, 522, 519, 517])).
% 107.39/107.55 tff(540,plain,
% 107.39/107.55 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.55 inference(monotonicity,[status(thm)],[539])).
% 107.39/107.55 tff(541,plain,
% 107.39/107.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.55 inference(quant_inst,[status(thm)],[])).
% 107.39/107.55 tff(542,plain,
% 107.39/107.55 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.55 inference(unit_resolution,[status(thm)],[541, 7])).
% 107.39/107.55 tff(543,plain,
% 107.39/107.55 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.39/107.55 inference(symmetry,[status(thm)],[486])).
% 107.39/107.55 tff(544,plain,
% 107.39/107.55 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.55 inference(monotonicity,[status(thm)],[543])).
% 107.39/107.55 tff(545,plain,
% 107.39/107.55 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.55 inference(symmetry,[status(thm)],[544])).
% 107.39/107.55 tff(546,plain,
% 107.39/107.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.55 inference(quant_inst,[status(thm)],[])).
% 107.39/107.55 tff(547,plain,
% 107.39/107.55 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.56 inference(unit_resolution,[status(thm)],[546, 7])).
% 107.39/107.56 tff(548,plain,
% 107.39/107.56 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.56 inference(symmetry,[status(thm)],[547])).
% 107.39/107.56 tff(549,plain,
% 107.39/107.56 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.56 inference(transitivity,[status(thm)],[548, 545])).
% 107.39/107.56 tff(550,plain,
% 107.39/107.56 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[549])).
% 107.39/107.56 tff(551,plain,
% 107.39/107.56 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.56 inference(transitivity,[status(thm)],[550, 542, 540])).
% 107.39/107.56 tff(552,plain,
% 107.39/107.56 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[551])).
% 107.39/107.56 tff(553,plain,
% 107.39/107.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.56 inference(quant_inst,[status(thm)],[])).
% 107.39/107.56 tff(554,plain,
% 107.39/107.56 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.56 inference(unit_resolution,[status(thm)],[553, 7])).
% 107.39/107.56 tff(555,plain,
% 107.39/107.56 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.56 inference(symmetry,[status(thm)],[554])).
% 107.39/107.56 tff(556,plain,
% 107.39/107.56 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[549])).
% 107.39/107.56 tff(557,plain,
% 107.39/107.56 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.56 inference(symmetry,[status(thm)],[556])).
% 107.39/107.56 tff(558,plain,
% 107.39/107.56 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[557])).
% 107.39/107.56 tff(559,plain,
% 107.39/107.56 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.56 inference(transitivity,[status(thm)],[558, 555, 552, 509])).
% 107.39/107.56 tff(560,plain,
% 107.39/107.56 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[559])).
% 107.39/107.56 tff(561,plain,
% 107.39/107.56 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.56 inference(symmetry,[status(thm)],[560])).
% 107.39/107.56 tff(562,plain,
% 107.39/107.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))) = sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))),
% 107.39/107.56 inference(quant_inst,[status(thm)],[])).
% 107.39/107.56 tff(563,plain,
% 107.39/107.56 (sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))) = sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))),
% 107.39/107.56 inference(unit_resolution,[status(thm)],[562, 7])).
% 107.39/107.56 tff(564,plain,
% 107.39/107.56 (sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))) = sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))),
% 107.39/107.56 inference(symmetry,[status(thm)],[563])).
% 107.39/107.56 tff(565,plain,
% 107.39/107.56 (sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))) = sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[564])).
% 107.39/107.56 tff(566,plain,
% 107.39/107.56 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[565])).
% 107.39/107.56 tff(567,plain,
% 107.39/107.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 107.39/107.56 inference(quant_inst,[status(thm)],[])).
% 107.39/107.56 tff(568,plain,
% 107.39/107.56 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 107.39/107.56 inference(unit_resolution,[status(thm)],[567, 7])).
% 107.39/107.56 tff(569,plain,
% 107.39/107.56 (sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 107.39/107.56 inference(symmetry,[status(thm)],[568])).
% 107.39/107.56 tff(570,plain,
% 107.39/107.56 (sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 107.39/107.56 inference(transitivity,[status(thm)],[569, 566])).
% 107.39/107.56 tff(571,plain,
% 107.39/107.56 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[570])).
% 107.39/107.56 tff(572,plain,
% 107.39/107.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 107.39/107.56 inference(quant_inst,[status(thm)],[])).
% 107.39/107.56 tff(573,plain,
% 107.39/107.56 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 107.39/107.56 inference(unit_resolution,[status(thm)],[572, 7])).
% 107.39/107.56 tff(574,plain,
% 107.39/107.56 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 107.39/107.56 inference(symmetry,[status(thm)],[573])).
% 107.39/107.56 tff(575,plain,
% 107.39/107.56 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.39/107.56 inference(transitivity,[status(thm)],[574, 571])).
% 107.39/107.56 tff(576,plain,
% 107.39/107.56 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.39/107.56 inference(monotonicity,[status(thm)],[575])).
% 107.39/107.56 tff(577,plain,
% 107.39/107.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 107.39/107.57 inference(quant_inst,[status(thm)],[])).
% 107.39/107.57 tff(578,plain,
% 107.39/107.57 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 107.39/107.57 inference(unit_resolution,[status(thm)],[577, 7])).
% 107.39/107.57 tff(579,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 107.39/107.57 inference(symmetry,[status(thm)],[578])).
% 107.39/107.57 tff(580,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.39/107.57 inference(transitivity,[status(thm)],[579, 576])).
% 107.39/107.57 tff(581,plain,
% 107.39/107.57 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.39/107.57 inference(monotonicity,[status(thm)],[580])).
% 107.39/107.57 tff(582,plain,
% 107.39/107.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.57 inference(quant_inst,[status(thm)],[])).
% 107.39/107.57 tff(583,plain,
% 107.39/107.57 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 107.39/107.57 inference(unit_resolution,[status(thm)],[582, 7])).
% 107.39/107.57 tff(584,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 107.39/107.57 inference(symmetry,[status(thm)],[583])).
% 107.39/107.57 tff(585,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.39/107.57 inference(transitivity,[status(thm)],[584, 581])).
% 107.39/107.57 tff(586,plain,
% 107.39/107.57 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.57 inference(monotonicity,[status(thm)],[585])).
% 107.39/107.57 tff(587,plain,
% 107.39/107.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.57 inference(quant_inst,[status(thm)],[])).
% 107.39/107.57 tff(588,plain,
% 107.39/107.57 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.57 inference(unit_resolution,[status(thm)],[587, 7])).
% 107.39/107.57 tff(589,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.57 inference(symmetry,[status(thm)],[588])).
% 107.39/107.57 tff(590,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.39/107.57 inference(transitivity,[status(thm)],[589, 586])).
% 107.39/107.57 tff(591,plain,
% 107.39/107.57 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.57 inference(monotonicity,[status(thm)],[590])).
% 107.39/107.57 tff(592,plain,
% 107.39/107.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.57 inference(quant_inst,[status(thm)],[])).
% 107.39/107.57 tff(593,plain,
% 107.39/107.57 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.57 inference(unit_resolution,[status(thm)],[592, 7])).
% 107.39/107.57 tff(594,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.57 inference(symmetry,[status(thm)],[593])).
% 107.39/107.57 tff(595,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.39/107.57 inference(transitivity,[status(thm)],[594, 591])).
% 107.39/107.57 tff(596,plain,
% 107.39/107.57 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.57 inference(monotonicity,[status(thm)],[595])).
% 107.39/107.57 tff(597,plain,
% 107.39/107.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.57 inference(quant_inst,[status(thm)],[])).
% 107.39/107.57 tff(598,plain,
% 107.39/107.57 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.57 inference(unit_resolution,[status(thm)],[597, 7])).
% 107.39/107.57 tff(599,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.57 inference(symmetry,[status(thm)],[598])).
% 107.39/107.57 tff(600,plain,
% 107.39/107.57 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.57 inference(transitivity,[status(thm)],[599, 596])).
% 107.39/107.57 tff(601,plain,
% 107.39/107.57 (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.57 inference(monotonicity,[status(thm)],[600])).
% 107.39/107.57 tff(602,plain,
% 107.39/107.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.57 inference(quant_inst,[status(thm)],[])).
% 107.39/107.57 tff(603,plain,
% 107.39/107.57 (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(unit_resolution,[status(thm)],[602, 7])).
% 107.39/107.58 tff(604,plain,
% 107.39/107.58 (sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(symmetry,[status(thm)],[603])).
% 107.39/107.58 tff(605,plain,
% 107.39/107.58 (sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(transitivity,[status(thm)],[604, 601, 561, 507, 504, 483, 480, 399, 397])).
% 107.39/107.58 tff(606,plain,
% 107.39/107.58 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(monotonicity,[status(thm)],[605])).
% 107.39/107.58 tff(607,plain,
% 107.39/107.58 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(transitivity,[status(thm)],[606, 354, 351, 311, 300, 297, 288, 260, 258, 247])).
% 107.39/107.58 tff(608,plain,
% 107.39/107.58 (heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(monotonicity,[status(thm)],[607])).
% 107.39/107.58 tff(609,plain,
% 107.39/107.58 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(symmetry,[status(thm)],[608])).
% 107.39/107.58 tff(610,plain,
% 107.39/107.58 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(symmetry,[status(thm)],[77])).
% 107.39/107.58 tff(611,plain,
% 107.39/107.58 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(monotonicity,[status(thm)],[88])).
% 107.39/107.58 tff(612,plain,
% 107.39/107.58 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(symmetry,[status(thm)],[611])).
% 107.39/107.58 tff(613,plain,
% 107.39/107.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(quant_inst,[status(thm)],[])).
% 107.39/107.58 tff(614,plain,
% 107.39/107.58 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(unit_resolution,[status(thm)],[613, 7])).
% 107.39/107.58 tff(615,plain,
% 107.39/107.58 (sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(symmetry,[status(thm)],[614])).
% 107.39/107.58 tff(616,plain,
% 107.39/107.58 (sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.58 inference(transitivity,[status(thm)],[615, 612, 610])).
% 107.39/107.58 tff(617,plain,
% 107.39/107.58 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(monotonicity,[status(thm)],[616])).
% 107.39/107.58 tff(618,plain,
% 107.39/107.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(quant_inst,[status(thm)],[])).
% 107.39/107.58 tff(619,plain,
% 107.39/107.58 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(unit_resolution,[status(thm)],[618, 7])).
% 107.39/107.58 tff(620,plain,
% 107.39/107.58 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(symmetry,[status(thm)],[619])).
% 107.39/107.58 tff(621,plain,
% 107.39/107.58 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(transitivity,[status(thm)],[620, 617])).
% 107.39/107.58 tff(622,plain,
% 107.39/107.58 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(monotonicity,[status(thm)],[621])).
% 107.39/107.58 tff(623,plain,
% 107.39/107.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.39/107.58 inference(quant_inst,[status(thm)],[])).
% 107.39/107.58 tff(624,plain,
% 107.39/107.58 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(unit_resolution,[status(thm)],[623, 7])).
% 107.39/107.58 tff(625,plain,
% 107.39/107.58 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(symmetry,[status(thm)],[624])).
% 107.39/107.58 tff(626,assumption,(x12 = x11), introduced(assumption)).
% 107.39/107.58 tff(627,plain,
% 107.39/107.58 (lseg(x12, x11) = lseg(x11, x11)),
% 107.39/107.58 inference(monotonicity,[status(thm)],[626])).
% 107.39/107.58 tff(628,plain,
% 107.39/107.58 (lseg(x11, x11) = lseg(x12, x11)),
% 107.39/107.58 inference(symmetry,[status(thm)],[627])).
% 107.39/107.58 tff(629,plain,
% 107.39/107.58 (sep(lseg(x11, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(monotonicity,[status(thm)],[628])).
% 107.39/107.58 tff(630,plain,
% 107.39/107.58 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x11, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.58 inference(quant_inst,[status(thm)],[])).
% 107.39/107.58 tff(631,plain,
% 107.39/107.58 (sep(lseg(x11, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.58 inference(unit_resolution,[status(thm)],[630, 69])).
% 107.39/107.59 tff(632,plain,
% 107.39/107.59 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x11, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.59 inference(symmetry,[status(thm)],[631])).
% 107.39/107.59 tff(633,plain,
% 107.39/107.59 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.59 inference(symmetry,[status(thm)],[260])).
% 107.39/107.59 tff(634,plain,
% 107.39/107.59 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.59 inference(transitivity,[status(thm)],[246, 257, 633, 287, 632, 629, 625, 622, 75])).
% 107.39/107.59 tff(635,plain,
% 107.39/107.59 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.39/107.59 inference(monotonicity,[status(thm)],[634])).
% 107.39/107.59 tff(636,plain,
% 107.39/107.59 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.59 inference(symmetry,[status(thm)],[635])).
% 107.39/107.59 tff(637,plain,
% 107.39/107.59 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.59 inference(transitivity,[status(thm)],[636, 609])).
% 107.39/107.59 tff(638,plain,
% 107.39/107.59 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.39/107.59 inference(rewrite,[status(thm)],[])).
% 107.39/107.59 tff(639,axiom,(heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_19')).
% 107.39/107.59 tff(640,plain,
% 107.39/107.59 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.39/107.59 inference(modus_ponens,[status(thm)],[639, 638])).
% 107.39/107.59 tff(641,plain,
% 107.39/107.59 (heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.59 inference(modus_ponens,[status(thm)],[640, 637])).
% 107.39/107.59 tff(642,plain,
% 107.39/107.59 ((~(x3 = x20)) <=> (~(x3 = x20))),
% 107.39/107.59 inference(rewrite,[status(thm)],[])).
% 107.39/107.59 tff(643,axiom,(~(x3 = x20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_3')).
% 107.39/107.59 tff(644,plain,
% 107.39/107.59 (~(x3 = x20)),
% 107.39/107.59 inference(modus_ponens,[status(thm)],[643, 642])).
% 107.39/107.59 tff(645,plain,
% 107.39/107.59 (^[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))))))),
% 107.39/107.59 inference(bind,[status(th)],[])).
% 107.39/107.59 tff(646,plain,
% 107.39/107.59 (![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)))))),
% 107.39/107.59 inference(quant_intro,[status(thm)],[645])).
% 107.39/107.59 tff(647,plain,
% 107.39/107.59 (![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)))))),
% 107.39/107.59 inference(rewrite,[status(thm)],[])).
% 107.39/107.59 tff(648,plain,
% 107.39/107.59 (^[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))))))),
% 107.39/107.59 inference(bind,[status(th)],[])).
% 107.39/107.59 tff(649,plain,
% 107.39/107.59 (![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)))))),
% 107.39/107.59 inference(quant_intro,[status(thm)],[648])).
% 107.39/107.59 tff(650,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')).
% 107.39/107.59 tff(651,plain,
% 107.39/107.59 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 107.39/107.59 inference(modus_ponens,[status(thm)],[650, 649])).
% 107.39/107.59 tff(652,plain,
% 107.39/107.59 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 107.39/107.59 inference(modus_ponens,[status(thm)],[651, 647])).
% 107.39/107.59 tff(653,plain,(
% 107.39/107.59 ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 107.39/107.59 inference(skolemize,[status(sab)],[652])).
% 107.39/107.59 tff(654,plain,
% 107.39/107.59 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 107.39/107.59 inference(modus_ponens,[status(thm)],[653, 646])).
% 107.39/107.59 tff(655,plain,
% 107.39/107.59 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.39/107.59 inference(rewrite,[status(thm)],[])).
% 107.39/107.59 tff(656,plain,
% 107.39/107.59 (((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))) <=> ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.39/107.59 inference(rewrite,[status(thm)],[])).
% 107.39/107.59 tff(657,plain,
% 107.39/107.59 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))))),
% 107.39/107.59 inference(monotonicity,[status(thm)],[656])).
% 107.39/107.59 tff(658,plain,
% 107.39/107.59 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.39/107.59 inference(transitivity,[status(thm)],[657, 655])).
% 107.39/107.59 tff(659,plain,
% 107.39/107.59 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.39/107.59 inference(quant_inst,[status(thm)],[])).
% 107.39/107.59 tff(660,plain,
% 107.39/107.59 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.39/107.59 inference(modus_ponens,[status(thm)],[659, 658])).
% 107.39/107.59 tff(661,plain,
% 107.39/107.59 ((x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.39/107.59 inference(unit_resolution,[status(thm)],[660, 654, 644])).
% 107.39/107.59 tff(662,plain,
% 107.39/107.59 (x3 = x12),
% 107.39/107.59 inference(unit_resolution,[status(thm)],[661, 641])).
% 107.39/107.59 tff(663,plain,
% 107.39/107.59 (lseg(x3, x20) = lseg(x12, x20)),
% 107.39/107.59 inference(monotonicity,[status(thm)],[662])).
% 107.39/107.59 tff(664,plain,
% 107.39/107.59 (sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.39/107.59 inference(monotonicity,[status(thm)],[663, 229])).
% 107.39/107.59 tff(665,plain,
% 107.39/107.59 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.59 inference(symmetry,[status(thm)],[225])).
% 107.39/107.59 tff(666,plain,
% 107.39/107.59 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.39/107.59 inference(symmetry,[status(thm)],[115])).
% 107.39/107.59 tff(667,plain,
% 107.39/107.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.39/107.59 inference(quant_inst,[status(thm)],[])).
% 107.39/107.59 tff(668,plain,
% 107.39/107.59 (sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.39/107.59 inference(unit_resolution,[status(thm)],[667, 7])).
% 107.39/107.59 tff(669,plain,
% 107.39/107.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.60 inference(quant_inst,[status(thm)],[])).
% 107.44/107.60 tff(670,plain,
% 107.44/107.60 (sep(lseg(x4, x12), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.60 inference(unit_resolution,[status(thm)],[669, 7])).
% 107.44/107.60 tff(671,plain,
% 107.44/107.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.60 inference(quant_inst,[status(thm)],[])).
% 107.44/107.60 tff(672,plain,
% 107.44/107.60 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.60 inference(unit_resolution,[status(thm)],[671, 7])).
% 107.44/107.60 tff(673,plain,
% 107.44/107.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.44/107.60 inference(quant_inst,[status(thm)],[])).
% 107.44/107.60 tff(674,plain,
% 107.44/107.60 (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.44/107.60 inference(unit_resolution,[status(thm)],[673, 7])).
% 107.44/107.60 tff(675,plain,
% 107.44/107.60 (sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.44/107.60 inference(symmetry,[status(thm)],[674])).
% 107.44/107.60 tff(676,plain,
% 107.44/107.60 (sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.44/107.60 inference(transitivity,[status(thm)],[675, 433])).
% 107.44/107.60 tff(677,plain,
% 107.44/107.60 (sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.44/107.60 inference(monotonicity,[status(thm)],[676])).
% 107.44/107.60 tff(678,plain,
% 107.44/107.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.60 inference(quant_inst,[status(thm)],[])).
% 107.44/107.60 tff(679,plain,
% 107.44/107.60 (sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.44/107.60 inference(unit_resolution,[status(thm)],[678, 7])).
% 107.44/107.60 tff(680,plain,
% 107.44/107.60 (sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.44/107.60 inference(symmetry,[status(thm)],[679])).
% 107.44/107.60 tff(681,plain,
% 107.44/107.60 (sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.44/107.60 inference(transitivity,[status(thm)],[680, 677])).
% 107.44/107.60 tff(682,plain,
% 107.44/107.60 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.60 inference(monotonicity,[status(thm)],[681])).
% 107.44/107.60 tff(683,plain,
% 107.44/107.60 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.60 inference(symmetry,[status(thm)],[682])).
% 107.44/107.60 tff(684,plain,
% 107.44/107.60 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.60 inference(transitivity,[status(thm)],[683, 672])).
% 107.44/107.60 tff(685,plain,
% 107.44/107.60 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.60 inference(monotonicity,[status(thm)],[684])).
% 107.44/107.60 tff(686,plain,
% 107.44/107.60 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.60 inference(transitivity,[status(thm)],[685, 670])).
% 107.44/107.60 tff(687,plain,
% 107.44/107.60 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.60 inference(monotonicity,[status(thm)],[686])).
% 107.44/107.60 tff(688,plain,
% 107.44/107.60 (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.60 inference(symmetry,[status(thm)],[687])).
% 107.44/107.60 tff(689,plain,
% 107.44/107.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.60 inference(quant_inst,[status(thm)],[])).
% 107.44/107.60 tff(690,plain,
% 107.44/107.60 (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.60 inference(unit_resolution,[status(thm)],[689, 7])).
% 107.44/107.60 tff(691,plain,
% 107.44/107.60 (sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.60 inference(symmetry,[status(thm)],[690])).
% 107.44/107.60 tff(692,plain,
% 107.44/107.60 (sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.60 inference(transitivity,[status(thm)],[691, 688])).
% 107.44/107.60 tff(693,plain,
% 107.44/107.60 (sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.60 inference(monotonicity,[status(thm)],[692])).
% 107.44/107.60 tff(694,plain,
% 107.44/107.60 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.60 inference(symmetry,[status(thm)],[693])).
% 107.44/107.60 tff(695,plain,
% 107.44/107.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.60 inference(quant_inst,[status(thm)],[])).
% 107.44/107.60 tff(696,plain,
% 107.44/107.60 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.60 inference(unit_resolution,[status(thm)],[695, 7])).
% 107.44/107.61 tff(697,plain,
% 107.44/107.61 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(monotonicity,[status(thm)],[340])).
% 107.44/107.61 tff(698,plain,
% 107.44/107.61 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[697])).
% 107.44/107.61 tff(699,plain,
% 107.44/107.61 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(transitivity,[status(thm)],[698, 696, 694, 668])).
% 107.44/107.61 tff(700,plain,
% 107.44/107.61 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x11), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(monotonicity,[status(thm)],[627, 699])).
% 107.44/107.61 tff(701,plain,
% 107.44/107.61 (sep(lseg(x11, x11), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[700])).
% 107.44/107.61 tff(702,plain,
% 107.44/107.61 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[696])).
% 107.44/107.61 tff(703,plain,
% 107.44/107.61 (sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[668])).
% 107.44/107.61 tff(704,plain,
% 107.44/107.61 (sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(transitivity,[status(thm)],[703, 693, 702, 697, 249, 252])).
% 107.44/107.61 tff(705,plain,
% 107.44/107.61 (sep(lseg(x11, x11), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(monotonicity,[status(thm)],[704])).
% 107.44/107.61 tff(706,plain,
% 107.44/107.61 (sep(lseg(x11, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x11), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[705])).
% 107.44/107.61 tff(707,plain,
% 107.44/107.61 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x11, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(quant_inst,[status(thm)],[])).
% 107.44/107.61 tff(708,plain,
% 107.44/107.61 (sep(lseg(x11, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(unit_resolution,[status(thm)],[707, 69])).
% 107.44/107.61 tff(709,plain,
% 107.44/107.61 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[708])).
% 107.44/107.61 tff(710,plain,
% 107.44/107.61 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(transitivity,[status(thm)],[249, 252, 709, 706, 701, 93, 90])).
% 107.44/107.61 tff(711,plain,
% 107.44/107.61 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.61 inference(monotonicity,[status(thm)],[710])).
% 107.44/107.61 tff(712,plain,
% 107.44/107.61 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(monotonicity,[status(thm)],[236])).
% 107.44/107.61 tff(713,plain,
% 107.44/107.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.61 inference(quant_inst,[status(thm)],[])).
% 107.44/107.61 tff(714,plain,
% 107.44/107.61 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(unit_resolution,[status(thm)],[713, 7])).
% 107.44/107.61 tff(715,plain,
% 107.44/107.61 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[714])).
% 107.44/107.61 tff(716,plain,
% 107.44/107.61 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.44/107.61 inference(symmetry,[status(thm)],[307])).
% 107.44/107.61 tff(717,plain,
% 107.44/107.61 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.61 inference(monotonicity,[status(thm)],[716])).
% 107.44/107.61 tff(718,plain,
% 107.44/107.61 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.62 inference(monotonicity,[status(thm)],[345])).
% 107.44/107.62 tff(719,plain,
% 107.44/107.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.62 inference(quant_inst,[status(thm)],[])).
% 107.44/107.62 tff(720,plain,
% 107.44/107.62 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.62 inference(unit_resolution,[status(thm)],[719, 7])).
% 107.44/107.62 tff(721,plain,
% 107.44/107.62 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.62 inference(symmetry,[status(thm)],[720])).
% 107.44/107.62 tff(722,plain,
% 107.44/107.62 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.62 inference(transitivity,[status(thm)],[721, 718, 717, 715, 712, 711, 666, 117, 665, 227])).
% 107.44/107.62 tff(723,plain,
% 107.44/107.62 (sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(monotonicity,[status(thm)],[722])).
% 107.44/107.62 tff(724,plain,
% 107.44/107.62 (sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(transitivity,[status(thm)],[723, 664, 87, 84, 75])).
% 107.44/107.62 tff(725,plain,
% 107.44/107.62 (heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.44/107.62 inference(monotonicity,[status(thm)],[724])).
% 107.44/107.62 tff(726,plain,
% 107.44/107.62 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(symmetry,[status(thm)],[725])).
% 107.44/107.62 tff(727,plain,
% 107.44/107.62 (heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(modus_ponens,[status(thm)],[640, 726])).
% 107.44/107.62 tff(728,plain,
% 107.44/107.62 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.44/107.62 inference(rewrite,[status(thm)],[])).
% 107.44/107.62 tff(729,plain,
% 107.44/107.62 (((x3 = x20) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))) <=> ((x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.44/107.62 inference(rewrite,[status(thm)],[])).
% 107.44/107.62 tff(730,plain,
% 107.44/107.62 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 107.44/107.62 inference(monotonicity,[status(thm)],[729])).
% 107.44/107.62 tff(731,plain,
% 107.44/107.62 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.44/107.62 inference(transitivity,[status(thm)],[730, 728])).
% 107.44/107.62 tff(732,plain,
% 107.44/107.62 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.44/107.62 inference(quant_inst,[status(thm)],[])).
% 107.44/107.62 tff(733,plain,
% 107.44/107.62 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.44/107.62 inference(modus_ponens,[status(thm)],[732, 731])).
% 107.44/107.62 tff(734,plain,
% 107.44/107.62 (~heap(sep(lseg(x3, x20), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(unit_resolution,[status(thm)],[733, 654, 644])).
% 107.44/107.62 tff(735,plain,
% 107.44/107.62 ($false),
% 107.44/107.62 inference(unit_resolution,[status(thm)],[734, 727])).
% 107.44/107.62 tff(736,plain,(~(x12 = x11)), inference(lemma,lemma(discharge,[]))).
% 107.44/107.62 tff(737,plain,
% 107.44/107.62 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.62 inference(transitivity,[status(thm)],[78, 81])).
% 107.44/107.62 tff(738,plain,
% 107.44/107.62 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(monotonicity,[status(thm)],[737])).
% 107.44/107.62 tff(739,plain,
% 107.44/107.62 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(symmetry,[status(thm)],[738])).
% 107.44/107.62 tff(740,plain,
% 107.44/107.62 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.62 inference(transitivity,[status(thm)],[93, 56])).
% 107.44/107.62 tff(741,plain,
% 107.44/107.62 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.62 inference(monotonicity,[status(thm)],[740])).
% 107.44/107.62 tff(742,plain,
% 107.44/107.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.62 inference(quant_inst,[status(thm)],[])).
% 107.44/107.62 tff(743,plain,
% 107.44/107.62 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.62 inference(unit_resolution,[status(thm)],[742, 7])).
% 107.44/107.62 tff(744,plain,
% 107.44/107.62 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.62 inference(symmetry,[status(thm)],[743])).
% 107.44/107.62 tff(745,plain,
% 107.44/107.62 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.62 inference(transitivity,[status(thm)],[744, 741])).
% 107.44/107.62 tff(746,plain,
% 107.44/107.62 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.63 inference(monotonicity,[status(thm)],[745])).
% 107.44/107.63 tff(747,plain,
% 107.44/107.63 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.63 inference(transitivity,[status(thm)],[746, 87, 739, 75])).
% 107.44/107.63 tff(748,plain,
% 107.44/107.63 (heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.44/107.63 inference(monotonicity,[status(thm)],[747])).
% 107.44/107.63 tff(749,plain,
% 107.44/107.63 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.44/107.63 inference(symmetry,[status(thm)],[748])).
% 107.44/107.63 tff(750,plain,
% 107.44/107.63 (heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.44/107.63 inference(modus_ponens,[status(thm)],[640, 749])).
% 107.44/107.63 tff(751,plain,
% 107.44/107.63 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x20) | (x12 = x11) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x20) | (x12 = x11) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 107.44/107.63 inference(rewrite,[status(thm)],[])).
% 107.44/107.63 tff(752,plain,
% 107.44/107.63 (((x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((x12 = x20) | (x12 = x11) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 107.44/107.63 inference(rewrite,[status(thm)],[])).
% 107.44/107.63 tff(753,plain,
% 107.44/107.63 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x20) | (x12 = x11) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))))),
% 107.44/107.63 inference(monotonicity,[status(thm)],[752])).
% 107.44/107.63 tff(754,plain,
% 107.44/107.63 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x20) | (x12 = x11) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 107.44/107.63 inference(transitivity,[status(thm)],[753, 751])).
% 107.44/107.63 tff(755,plain,
% 107.44/107.63 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 107.44/107.63 inference(quant_inst,[status(thm)],[])).
% 107.44/107.63 tff(756,plain,
% 107.44/107.63 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x20) | (x12 = x11) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.44/107.63 inference(modus_ponens,[status(thm)],[755, 754])).
% 107.44/107.63 tff(757,plain,
% 107.44/107.63 ((x12 = x20) | (x12 = x11) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.44/107.63 inference(unit_resolution,[status(thm)],[756, 654])).
% 107.44/107.63 tff(758,plain,
% 107.44/107.63 ((x12 = x20) | (x12 = x11)),
% 107.44/107.63 inference(unit_resolution,[status(thm)],[757, 750])).
% 107.44/107.63 tff(759,plain,
% 107.44/107.63 (x12 = x20),
% 107.44/107.63 inference(unit_resolution,[status(thm)],[758, 736])).
% 107.44/107.63 tff(760,plain,
% 107.44/107.63 (x20 = x12),
% 107.44/107.63 inference(symmetry,[status(thm)],[759])).
% 107.44/107.63 tff(761,plain,
% 107.44/107.63 (lseg(x20, x20) = lseg(x12, x20)),
% 107.44/107.63 inference(monotonicity,[status(thm)],[760])).
% 107.44/107.63 tff(762,plain,
% 107.44/107.63 (lseg(x12, x20) = lseg(x20, x20)),
% 107.44/107.63 inference(symmetry,[status(thm)],[761])).
% 107.44/107.63 tff(763,plain,
% 107.44/107.63 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x20, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.63 inference(monotonicity,[status(thm)],[762, 72])).
% 107.44/107.63 tff(764,plain,
% 107.44/107.63 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.63 inference(transitivity,[status(thm)],[74, 738, 86, 763, 71, 62, 59, 47, 33, 31])).
% 107.44/107.63 tff(765,plain,
% 107.44/107.63 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.44/107.63 inference(monotonicity,[status(thm)],[764])).
% 107.44/107.63 tff(766,plain,
% 107.44/107.63 (heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.44/107.63 inference(symmetry,[status(thm)],[765])).
% 107.44/107.63 tff(767,plain,
% 107.44/107.63 ((~heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> (~heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.44/107.63 inference(monotonicity,[status(thm)],[766])).
% 107.44/107.63 tff(768,plain,
% 107.44/107.63 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.63 inference(monotonicity,[status(thm)],[55])).
% 107.44/107.63 tff(769,plain,
% 107.44/107.63 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.44/107.64 inference(symmetry,[status(thm)],[768])).
% 107.44/107.64 tff(770,plain,
% 107.44/107.64 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.44/107.64 inference(monotonicity,[status(thm)],[769])).
% 107.44/107.64 tff(771,plain,
% 107.44/107.64 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.64 inference(monotonicity,[status(thm)],[128])).
% 107.44/107.64 tff(772,plain,
% 107.44/107.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.64 inference(quant_inst,[status(thm)],[])).
% 107.44/107.64 tff(773,plain,
% 107.44/107.64 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.64 inference(unit_resolution,[status(thm)],[772, 7])).
% 107.44/107.64 tff(774,plain,
% 107.44/107.64 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.64 inference(symmetry,[status(thm)],[773])).
% 107.44/107.64 tff(775,plain,
% 107.44/107.64 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.44/107.64 inference(transitivity,[status(thm)],[774, 771, 12])).
% 107.44/107.64 tff(776,plain,
% 107.44/107.64 (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.64 inference(monotonicity,[status(thm)],[775])).
% 107.44/107.64 tff(777,plain,
% 107.44/107.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.64 inference(quant_inst,[status(thm)],[])).
% 107.44/107.64 tff(778,plain,
% 107.44/107.64 (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.64 inference(unit_resolution,[status(thm)],[777, 7])).
% 107.44/107.64 tff(779,plain,
% 107.44/107.64 (sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.64 inference(symmetry,[status(thm)],[778])).
% 107.44/107.64 tff(780,plain,
% 107.44/107.64 (sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.44/107.64 inference(transitivity,[status(thm)],[779, 776])).
% 107.44/107.64 tff(781,plain,
% 107.44/107.64 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.44/107.64 inference(monotonicity,[status(thm)],[780])).
% 107.44/107.64 tff(782,plain,
% 107.44/107.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.64 inference(quant_inst,[status(thm)],[])).
% 107.48/107.64 tff(783,plain,
% 107.48/107.64 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.64 inference(unit_resolution,[status(thm)],[782, 7])).
% 107.48/107.64 tff(784,plain,
% 107.48/107.64 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.64 inference(symmetry,[status(thm)],[783])).
% 107.48/107.64 tff(785,plain,
% 107.48/107.64 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.64 inference(transitivity,[status(thm)],[784, 781])).
% 107.48/107.64 tff(786,plain,
% 107.48/107.64 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.64 inference(monotonicity,[status(thm)],[785])).
% 107.48/107.64 tff(787,plain,
% 107.48/107.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.64 inference(quant_inst,[status(thm)],[])).
% 107.48/107.64 tff(788,plain,
% 107.48/107.64 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.64 inference(unit_resolution,[status(thm)],[787, 7])).
% 107.48/107.64 tff(789,plain,
% 107.48/107.64 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.64 inference(symmetry,[status(thm)],[788])).
% 107.48/107.64 tff(790,plain,
% 107.48/107.64 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.64 inference(transitivity,[status(thm)],[789, 786])).
% 107.48/107.64 tff(791,plain,
% 107.48/107.64 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.64 inference(monotonicity,[status(thm)],[790])).
% 107.48/107.64 tff(792,plain,
% 107.48/107.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.64 inference(quant_inst,[status(thm)],[])).
% 107.48/107.64 tff(793,plain,
% 107.48/107.64 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.64 inference(unit_resolution,[status(thm)],[792, 7])).
% 107.48/107.64 tff(794,plain,
% 107.48/107.64 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.65 inference(symmetry,[status(thm)],[793])).
% 107.48/107.65 tff(795,plain,
% 107.48/107.65 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.65 inference(transitivity,[status(thm)],[794, 791])).
% 107.48/107.65 tff(796,plain,
% 107.48/107.65 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[795])).
% 107.48/107.65 tff(797,plain,
% 107.48/107.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.48/107.65 inference(quant_inst,[status(thm)],[])).
% 107.48/107.65 tff(798,plain,
% 107.48/107.65 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.65 inference(unit_resolution,[status(thm)],[797, 7])).
% 107.48/107.65 tff(799,plain,
% 107.48/107.65 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.65 inference(symmetry,[status(thm)],[798])).
% 107.48/107.65 tff(800,plain,
% 107.48/107.65 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[402])).
% 107.48/107.65 tff(801,plain,
% 107.48/107.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(quant_inst,[status(thm)],[])).
% 107.48/107.65 tff(802,plain,
% 107.48/107.65 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.48/107.65 inference(unit_resolution,[status(thm)],[801, 7])).
% 107.48/107.65 tff(803,plain,
% 107.48/107.65 (sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.48/107.65 inference(symmetry,[status(thm)],[802])).
% 107.48/107.65 tff(804,plain,
% 107.48/107.65 (sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.48/107.65 inference(transitivity,[status(thm)],[803, 800])).
% 107.48/107.65 tff(805,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[804])).
% 107.48/107.65 tff(806,plain,
% 107.48/107.65 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[805])).
% 107.48/107.65 tff(807,plain,
% 107.48/107.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.65 inference(quant_inst,[status(thm)],[])).
% 107.48/107.65 tff(808,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(unit_resolution,[status(thm)],[807, 7])).
% 107.48/107.65 tff(809,plain,
% 107.48/107.65 (sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[804])).
% 107.48/107.65 tff(810,plain,
% 107.48/107.65 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(symmetry,[status(thm)],[809])).
% 107.48/107.65 tff(811,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[810])).
% 107.48/107.65 tff(812,plain,
% 107.48/107.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(quant_inst,[status(thm)],[])).
% 107.48/107.65 tff(813,plain,
% 107.48/107.65 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.48/107.65 inference(unit_resolution,[status(thm)],[812, 7])).
% 107.48/107.65 tff(814,plain,
% 107.48/107.65 (sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.48/107.65 inference(symmetry,[status(thm)],[813])).
% 107.48/107.65 tff(815,plain,
% 107.48/107.65 (sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 107.48/107.65 inference(transitivity,[status(thm)],[814, 407])).
% 107.48/107.65 tff(816,plain,
% 107.48/107.65 (sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[815])).
% 107.48/107.65 tff(817,plain,
% 107.48/107.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(quant_inst,[status(thm)],[])).
% 107.48/107.65 tff(818,plain,
% 107.48/107.65 (sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(unit_resolution,[status(thm)],[817, 7])).
% 107.48/107.65 tff(819,plain,
% 107.48/107.65 (sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(symmetry,[status(thm)],[818])).
% 107.48/107.65 tff(820,plain,
% 107.48/107.65 (sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.65 inference(transitivity,[status(thm)],[819, 816])).
% 107.48/107.65 tff(821,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[820])).
% 107.48/107.65 tff(822,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(transitivity,[status(thm)],[821, 811, 808, 806])).
% 107.48/107.65 tff(823,plain,
% 107.48/107.65 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[822])).
% 107.48/107.65 tff(824,plain,
% 107.48/107.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.65 inference(quant_inst,[status(thm)],[])).
% 107.48/107.65 tff(825,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.65 inference(unit_resolution,[status(thm)],[824, 7])).
% 107.48/107.65 tff(826,plain,
% 107.48/107.65 (sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[820])).
% 107.48/107.65 tff(827,plain,
% 107.48/107.65 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.65 inference(symmetry,[status(thm)],[826])).
% 107.48/107.65 tff(828,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[827])).
% 107.48/107.65 tff(829,plain,
% 107.48/107.65 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.65 inference(transitivity,[status(thm)],[828, 825, 823])).
% 107.48/107.65 tff(830,plain,
% 107.48/107.65 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.65 inference(monotonicity,[status(thm)],[829])).
% 107.48/107.65 tff(831,plain,
% 107.48/107.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.66 inference(quant_inst,[status(thm)],[])).
% 107.48/107.66 tff(832,plain,
% 107.48/107.66 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.66 inference(unit_resolution,[status(thm)],[831, 7])).
% 107.48/107.66 tff(833,plain,
% 107.48/107.66 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.66 inference(transitivity,[status(thm)],[832, 830])).
% 107.48/107.66 tff(834,plain,
% 107.48/107.66 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.66 inference(monotonicity,[status(thm)],[833])).
% 107.48/107.66 tff(835,plain,
% 107.48/107.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.66 inference(quant_inst,[status(thm)],[])).
% 107.48/107.66 tff(836,plain,
% 107.48/107.66 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.66 inference(unit_resolution,[status(thm)],[835, 7])).
% 107.48/107.66 tff(837,plain,
% 107.48/107.66 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.66 inference(transitivity,[status(thm)],[836, 834])).
% 107.48/107.66 tff(838,plain,
% 107.48/107.66 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.66 inference(monotonicity,[status(thm)],[837])).
% 107.48/107.66 tff(839,plain,
% 107.48/107.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.66 inference(quant_inst,[status(thm)],[])).
% 107.48/107.66 tff(840,plain,
% 107.48/107.66 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.66 inference(unit_resolution,[status(thm)],[839, 7])).
% 107.48/107.66 tff(841,plain,
% 107.48/107.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.66 inference(quant_inst,[status(thm)],[])).
% 107.48/107.66 tff(842,plain,
% 107.48/107.66 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.66 inference(unit_resolution,[status(thm)],[841, 7])).
% 107.48/107.66 tff(843,plain,
% 107.48/107.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.66 inference(quant_inst,[status(thm)],[])).
% 107.48/107.66 tff(844,plain,
% 107.48/107.66 (sep(lseg(x12, x11), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.66 inference(unit_resolution,[status(thm)],[843, 7])).
% 107.48/107.66 tff(845,plain,
% 107.48/107.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.66 inference(quant_inst,[status(thm)],[])).
% 107.48/107.66 tff(846,plain,
% 107.48/107.66 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 107.48/107.66 inference(unit_resolution,[status(thm)],[845, 7])).
% 107.48/107.66 tff(847,plain,
% 107.48/107.66 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 107.48/107.66 inference(symmetry,[status(thm)],[566])).
% 107.48/107.66 tff(848,plain,
% 107.48/107.66 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 107.48/107.66 inference(transitivity,[status(thm)],[847, 568])).
% 107.48/107.66 tff(849,plain,
% 107.48/107.66 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 107.48/107.66 inference(monotonicity,[status(thm)],[848])).
% 107.48/107.66 tff(850,plain,
% 107.48/107.66 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 107.48/107.66 inference(transitivity,[status(thm)],[849, 846])).
% 107.48/107.66 tff(851,plain,
% 107.48/107.66 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.66 inference(monotonicity,[status(thm)],[850])).
% 107.48/107.66 tff(852,plain,
% 107.48/107.66 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 107.48/107.66 inference(transitivity,[status(thm)],[851, 844])).
% 107.48/107.66 tff(853,plain,
% 107.48/107.66 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.66 inference(monotonicity,[status(thm)],[852])).
% 107.48/107.66 tff(854,plain,
% 107.48/107.66 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.66 inference(symmetry,[status(thm)],[853])).
% 107.48/107.66 tff(855,plain,
% 107.48/107.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.66 inference(quant_inst,[status(thm)],[])).
% 107.48/107.66 tff(856,plain,
% 107.48/107.66 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.66 inference(unit_resolution,[status(thm)],[855, 7])).
% 107.48/107.66 tff(857,plain,
% 107.48/107.66 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.66 inference(symmetry,[status(thm)],[856])).
% 107.48/107.66 tff(858,plain,
% 107.48/107.66 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 107.48/107.66 inference(transitivity,[status(thm)],[857, 854])).
% 107.48/107.66 tff(859,plain,
% 107.48/107.66 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[858])).
% 107.48/107.67 tff(860,plain,
% 107.48/107.67 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.67 inference(symmetry,[status(thm)],[859])).
% 107.48/107.67 tff(861,plain,
% 107.48/107.67 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 107.48/107.67 inference(transitivity,[status(thm)],[860, 842])).
% 107.48/107.67 tff(862,plain,
% 107.48/107.67 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[861])).
% 107.48/107.67 tff(863,plain,
% 107.48/107.67 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.67 inference(symmetry,[status(thm)],[862])).
% 107.48/107.67 tff(864,plain,
% 107.48/107.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.67 inference(quant_inst,[status(thm)],[])).
% 107.48/107.67 tff(865,plain,
% 107.48/107.67 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.67 inference(unit_resolution,[status(thm)],[864, 7])).
% 107.48/107.67 tff(866,plain,
% 107.48/107.67 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.67 inference(symmetry,[status(thm)],[865])).
% 107.48/107.67 tff(867,plain,
% 107.48/107.67 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 107.48/107.67 inference(transitivity,[status(thm)],[866, 863])).
% 107.48/107.67 tff(868,plain,
% 107.48/107.67 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[867])).
% 107.48/107.67 tff(869,plain,
% 107.48/107.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.67 inference(quant_inst,[status(thm)],[])).
% 107.48/107.67 tff(870,plain,
% 107.48/107.67 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.67 inference(unit_resolution,[status(thm)],[869, 7])).
% 107.48/107.67 tff(871,plain,
% 107.48/107.67 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.67 inference(symmetry,[status(thm)],[870])).
% 107.48/107.67 tff(872,plain,
% 107.48/107.67 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 107.48/107.67 inference(transitivity,[status(thm)],[871, 868])).
% 107.48/107.67 tff(873,plain,
% 107.48/107.67 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[872])).
% 107.48/107.67 tff(874,plain,
% 107.48/107.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.67 inference(quant_inst,[status(thm)],[])).
% 107.48/107.67 tff(875,plain,
% 107.48/107.67 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.67 inference(unit_resolution,[status(thm)],[874, 7])).
% 107.48/107.67 tff(876,plain,
% 107.48/107.67 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.67 inference(symmetry,[status(thm)],[875])).
% 107.48/107.67 tff(877,plain,
% 107.48/107.67 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 107.48/107.67 inference(transitivity,[status(thm)],[876, 873, 840, 838])).
% 107.48/107.67 tff(878,plain,
% 107.48/107.67 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[877])).
% 107.48/107.67 tff(879,plain,
% 107.48/107.67 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 107.48/107.67 inference(transitivity,[status(thm)],[878, 799, 796, 770, 62, 59, 47, 33, 31])).
% 107.48/107.67 tff(880,plain,
% 107.48/107.67 (heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[879])).
% 107.48/107.67 tff(881,plain,
% 107.48/107.67 ((~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))) <=> (~heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[880])).
% 107.48/107.67 tff(882,plain,
% 107.48/107.67 ((x3 = x12) <=> (x3 = x20)),
% 107.48/107.67 inference(monotonicity,[status(thm)],[759])).
% 107.48/107.67 tff(883,plain,
% 107.48/107.67 ((x3 = x20) <=> (x3 = x12)),
% 107.48/107.67 inference(symmetry,[status(thm)],[882])).
% 107.48/107.67 tff(884,plain,
% 107.48/107.67 ((~(x3 = x20)) <=> (~(x3 = x12))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[883])).
% 107.48/107.67 tff(885,plain,
% 107.48/107.67 (~(x3 = x12)),
% 107.48/107.67 inference(modus_ponens,[status(thm)],[644, 884])).
% 107.48/107.67 tff(886,plain,
% 107.48/107.67 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.48/107.67 inference(rewrite,[status(thm)],[])).
% 107.48/107.67 tff(887,plain,
% 107.48/107.67 (((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))) <=> ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.48/107.67 inference(rewrite,[status(thm)],[])).
% 107.48/107.67 tff(888,plain,
% 107.48/107.67 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))))),
% 107.48/107.67 inference(monotonicity,[status(thm)],[887])).
% 107.48/107.67 tff(889,plain,
% 107.48/107.67 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.48/107.67 inference(transitivity,[status(thm)],[888, 886])).
% 107.48/107.67 tff(890,plain,
% 107.48/107.67 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 107.72/107.94 inference(quant_inst,[status(thm)],[])).
% 107.72/107.94 tff(891,plain,
% 107.72/107.94 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.72/107.94 inference(modus_ponens,[status(thm)],[890, 889])).
% 107.72/107.94 tff(892,plain,
% 107.72/107.94 ((x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.72/107.94 inference(unit_resolution,[status(thm)],[891, 654, 644])).
% 107.72/107.94 tff(893,plain,
% 107.72/107.94 (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 107.72/107.94 inference(unit_resolution,[status(thm)],[892, 885])).
% 107.72/107.94 tff(894,plain,
% 107.72/107.94 (~heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 107.72/107.94 inference(modus_ponens,[status(thm)],[893, 881])).
% 107.72/107.94 tff(895,plain,
% 107.72/107.94 (~heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 107.72/107.94 inference(modus_ponens,[status(thm)],[894, 767])).
% 107.72/107.94 tff(896,plain,
% 107.72/107.94 ($false),
% 107.72/107.94 inference(unit_resolution,[status(thm)],[640, 895])).
% 107.72/107.94 % SZS output end Proof
% 107.72/107.94 % E exiting
%------------------------------------------------------------------------------