%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW425-1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:36:57 AM UTC 2025
% Result : Unsatisfiable 1.67s 1.88s
% Output : Proof 1.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW425-1 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 11:41:18 EDT 2025
% 0.11/0.33 % CPUTime :
% 1.67/1.88 % SZS status Unsatisfiable
% 1.67/1.88 % SZS output start Proof
% 1.67/1.88 tff(x10_type, type, (
% 1.67/1.88 x10: $i)).
% 1.67/1.88 tff(x1_type, type, (
% 1.67/1.88 x1: $i)).
% 1.67/1.88 tff(x2_type, type, (
% 1.67/1.88 x2: $i)).
% 1.67/1.88 tff(heap_type, type, (
% 1.67/1.88 heap: $i > $o)).
% 1.67/1.88 tff(sep_type, type, (
% 1.67/1.88 sep: ( $i * $i ) > $i)).
% 1.67/1.88 tff(emp_type, type, (
% 1.67/1.88 emp: $i)).
% 1.67/1.88 tff(lseg_type, type, (
% 1.67/1.88 lseg: ( $i * $i ) > $i)).
% 1.67/1.88 tff(x3_type, type, (
% 1.67/1.88 x3: $i)).
% 1.67/1.88 tff(x9_type, type, (
% 1.67/1.88 x9: $i)).
% 1.67/1.88 tff(x5_type, type, (
% 1.67/1.88 x5: $i)).
% 1.67/1.88 tff(x7_type, type, (
% 1.67/1.88 x7: $i)).
% 1.67/1.88 tff(x6_type, type, (
% 1.67/1.88 x6: $i)).
% 1.67/1.88 tff(1,plain,
% 1.67/1.88 (^[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))))),
% 1.67/1.88 inference(bind,[status(th)],[])).
% 1.67/1.88 tff(2,plain,
% 1.67/1.88 (![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)))),
% 1.67/1.88 inference(quant_intro,[status(thm)],[1])).
% 1.67/1.88 tff(3,plain,
% 1.67/1.88 (![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)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(4,axiom,(![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax','associative_commutative')).
% 1.67/1.88 tff(5,plain,
% 1.67/1.88 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[4, 3])).
% 1.67/1.88 tff(6,plain,(
% 1.67/1.88 ![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 1.67/1.88 inference(skolemize,[status(sab)],[5])).
% 1.67/1.88 tff(7,plain,
% 1.67/1.88 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[6, 2])).
% 1.67/1.88 tff(8,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(9,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[8, 7])).
% 1.67/1.88 tff(10,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(11,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[10, 7])).
% 1.67/1.88 tff(12,plain,
% 1.67/1.88 (sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(symmetry,[status(thm)],[11])).
% 1.67/1.88 tff(13,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[12])).
% 1.67/1.88 tff(14,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[13])).
% 1.67/1.88 tff(15,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x3, x10), emp)) = sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(16,plain,
% 1.67/1.88 (sep(lseg(x9, x1), sep(lseg(x3, x10), emp)) = sep(lseg(x3, x10), sep(lseg(x9, x1), emp))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[15, 7])).
% 1.67/1.88 tff(17,plain,
% 1.67/1.88 (sep(lseg(x3, x10), sep(lseg(x9, x1), emp)) = sep(lseg(x9, x1), sep(lseg(x3, x10), emp))),
% 1.67/1.88 inference(symmetry,[status(thm)],[16])).
% 1.67/1.88 tff(18,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[17])).
% 1.67/1.88 tff(19,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))),
% 1.67/1.88 inference(symmetry,[status(thm)],[18])).
% 1.67/1.88 tff(20,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[19])).
% 1.67/1.88 tff(21,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[20])).
% 1.67/1.88 tff(22,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(23,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[22, 7])).
% 1.67/1.88 tff(24,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[23])).
% 1.67/1.88 tff(25,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[17])).
% 1.67/1.88 tff(26,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[25])).
% 1.67/1.88 tff(27,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[26])).
% 1.67/1.88 tff(28,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(29,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[28, 7])).
% 1.67/1.88 tff(30,plain,
% 1.67/1.88 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(symmetry,[status(thm)],[29])).
% 1.67/1.88 tff(31,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[30])).
% 1.67/1.88 tff(32,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(transitivity,[status(thm)],[31, 27, 24, 21, 14, 9])).
% 1.67/1.88 tff(33,plain,
% 1.67/1.88 (sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[32])).
% 1.67/1.88 tff(34,plain,
% 1.67/1.88 (heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) <=> heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[33])).
% 1.67/1.88 tff(35,plain,
% 1.67/1.88 (heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) <=> heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[34])).
% 1.67/1.88 tff(36,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(37,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[36, 7])).
% 1.67/1.88 tff(38,plain,
% 1.67/1.88 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(symmetry,[status(thm)],[37])).
% 1.67/1.88 tff(39,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[38])).
% 1.67/1.88 tff(40,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[39])).
% 1.67/1.88 tff(41,plain,
% 1.67/1.88 (sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[40])).
% 1.67/1.88 tff(42,plain,
% 1.67/1.88 (sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[41])).
% 1.67/1.88 tff(43,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(44,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[43, 7])).
% 1.67/1.88 tff(45,plain,
% 1.67/1.88 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[9])).
% 1.67/1.88 tff(46,plain,
% 1.67/1.88 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(transitivity,[status(thm)],[45, 13, 20, 23, 26])).
% 1.67/1.88 tff(47,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[46])).
% 1.67/1.88 tff(48,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[47])).
% 1.67/1.88 tff(49,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(transitivity,[status(thm)],[48, 44, 42])).
% 1.67/1.88 tff(50,plain,
% 1.67/1.88 (sep(lseg(x5, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[49])).
% 1.67/1.88 tff(51,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(52,plain,
% 1.67/1.88 (sep(lseg(x5, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[51, 7])).
% 1.67/1.88 tff(53,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[52])).
% 1.67/1.88 tff(54,plain,
% 1.67/1.88 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(transitivity,[status(thm)],[27, 24, 21, 14, 9])).
% 1.67/1.88 tff(55,plain,
% 1.67/1.88 (sep(lseg(x5, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[54])).
% 1.67/1.88 tff(56,plain,
% 1.67/1.88 (sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[55])).
% 1.67/1.88 tff(57,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[56])).
% 1.67/1.88 tff(58,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.88 inference(transitivity,[status(thm)],[57, 53, 50])).
% 1.67/1.88 tff(59,plain,
% 1.67/1.88 (heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[58])).
% 1.67/1.88 tff(60,plain,
% 1.67/1.88 (heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.88 inference(symmetry,[status(thm)],[59])).
% 1.67/1.88 tff(61,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(62,plain,
% 1.67/1.88 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[61, 7])).
% 1.67/1.88 tff(63,plain,
% 1.67/1.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(64,plain,
% 1.67/1.88 (sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[63, 7])).
% 1.67/1.89 tff(65,plain,
% 1.67/1.89 (sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.89 inference(symmetry,[status(thm)],[64])).
% 1.67/1.89 tff(66,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))) = sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[65])).
% 1.67/1.89 tff(67,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[66])).
% 1.67/1.89 tff(68,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(transitivity,[status(thm)],[67, 62])).
% 1.67/1.89 tff(69,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[68])).
% 1.67/1.89 tff(70,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[69])).
% 1.67/1.89 tff(71,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(72,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[71, 7])).
% 1.67/1.89 tff(73,plain,
% 1.67/1.89 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[72])).
% 1.67/1.89 tff(74,plain,
% 1.67/1.89 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(transitivity,[status(thm)],[73, 70])).
% 1.67/1.89 tff(75,plain,
% 1.67/1.89 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[74])).
% 1.67/1.89 tff(76,plain,
% 1.67/1.89 (sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[75])).
% 1.67/1.89 tff(77,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[65])).
% 1.67/1.89 tff(78,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[77])).
% 1.67/1.89 tff(79,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x3, x10), emp)) = sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(80,plain,
% 1.67/1.89 (sep(lseg(x2, x1), sep(lseg(x3, x10), emp)) = sep(lseg(x3, x10), sep(lseg(x2, x1), emp))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[79, 7])).
% 1.67/1.89 tff(81,plain,
% 1.67/1.89 (sep(lseg(x3, x10), sep(lseg(x2, x1), emp)) = sep(lseg(x2, x1), sep(lseg(x3, x10), emp))),
% 1.67/1.89 inference(symmetry,[status(thm)],[80])).
% 1.67/1.89 tff(82,plain,
% 1.67/1.89 (sep(lseg(x2, x5), sep(lseg(x3, x10), sep(lseg(x2, x1), emp))) = sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[81])).
% 1.67/1.89 tff(83,plain,
% 1.67/1.89 (sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x5), sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))),
% 1.67/1.89 inference(symmetry,[status(thm)],[82])).
% 1.67/1.89 tff(84,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x3, x10), sep(lseg(x2, x1), emp))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[83])).
% 1.67/1.89 tff(85,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[84])).
% 1.67/1.89 tff(86,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(87,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x2, x1), emp))))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[86, 7])).
% 1.67/1.89 tff(88,plain,
% 1.67/1.89 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x5), sep(lseg(x3, x10), sep(lseg(x2, x1), emp))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[87])).
% 1.67/1.89 tff(89,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x2, x1), emp))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[81])).
% 1.67/1.89 tff(90,plain,
% 1.67/1.89 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x2, x1), emp)))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[89])).
% 1.67/1.89 tff(91,plain,
% 1.67/1.89 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x2, x1), emp))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[90])).
% 1.67/1.89 tff(92,plain,
% 1.67/1.89 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))),
% 1.67/1.89 inference(transitivity,[status(thm)],[91, 88, 85, 78])).
% 1.67/1.89 tff(93,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[92])).
% 1.67/1.89 tff(94,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[93])).
% 1.67/1.89 tff(95,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(96,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[95, 7])).
% 1.67/1.89 tff(97,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[66])).
% 1.67/1.89 tff(98,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[97])).
% 1.67/1.89 tff(99,plain,
% 1.67/1.89 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(transitivity,[status(thm)],[98, 96, 94])).
% 1.67/1.89 tff(100,plain,
% 1.67/1.89 (sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[99])).
% 1.67/1.89 tff(101,plain,
% 1.67/1.89 (sep(lseg(x9, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[100])).
% 1.67/1.89 tff(102,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(103,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[102, 7])).
% 1.67/1.89 tff(104,plain,
% 1.67/1.89 (sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[44])).
% 1.67/1.89 tff(105,plain,
% 1.67/1.89 (sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.89 inference(transitivity,[status(thm)],[41, 104, 47])).
% 1.67/1.89 tff(106,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[105])).
% 1.67/1.89 tff(107,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[106])).
% 1.67/1.89 tff(108,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(transitivity,[status(thm)],[107, 103, 101, 76])).
% 1.67/1.89 tff(109,plain,
% 1.67/1.89 (sep(lseg(x7, x9), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[108])).
% 1.67/1.89 tff(110,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x9), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(111,plain,
% 1.67/1.89 (sep(lseg(x7, x9), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[110, 7])).
% 1.67/1.89 tff(112,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x7, x9), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[111])).
% 1.67/1.89 tff(113,plain,
% 1.67/1.89 (sep(lseg(x7, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[49])).
% 1.67/1.89 tff(114,plain,
% 1.67/1.89 (sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x7, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[113])).
% 1.67/1.89 tff(115,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[114])).
% 1.67/1.89 tff(116,plain,
% 1.67/1.89 (sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.89 inference(transitivity,[status(thm)],[115, 112, 109])).
% 1.67/1.89 tff(117,plain,
% 1.67/1.89 (heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))) <=> heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[116])).
% 1.67/1.89 tff(118,plain,
% 1.67/1.89 (heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) <=> heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))),
% 1.67/1.89 inference(symmetry,[status(thm)],[117])).
% 1.67/1.89 tff(119,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(120,plain,
% 1.67/1.89 (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[119, 7])).
% 1.67/1.89 tff(121,plain,
% 1.67/1.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x10), sep(lseg(x6, x9), emp)) = sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(122,plain,
% 1.67/1.89 (sep(lseg(x3, x10), sep(lseg(x6, x9), emp)) = sep(lseg(x6, x9), sep(lseg(x3, x10), emp))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[121, 7])).
% 1.67/1.89 tff(123,plain,
% 1.67/1.89 (sep(lseg(x6, x9), sep(lseg(x3, x10), emp)) = sep(lseg(x3, x10), sep(lseg(x6, x9), emp))),
% 1.67/1.90 inference(symmetry,[status(thm)],[122])).
% 1.67/1.90 tff(124,plain,
% 1.67/1.90 (sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[123])).
% 1.67/1.90 tff(125,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))) = sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(126,plain,
% 1.67/1.90 (sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))) = sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[125, 7])).
% 1.67/1.90 tff(127,plain,
% 1.67/1.90 (sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))),
% 1.67/1.90 inference(symmetry,[status(thm)],[126])).
% 1.67/1.90 tff(128,plain,
% 1.67/1.90 (sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))),
% 1.67/1.90 inference(transitivity,[status(thm)],[127, 124])).
% 1.67/1.90 tff(129,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[128])).
% 1.67/1.90 tff(130,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(131,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[130, 7])).
% 1.67/1.90 tff(132,plain,
% 1.67/1.90 (sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[131])).
% 1.67/1.90 tff(133,plain,
% 1.67/1.90 (sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(transitivity,[status(thm)],[132, 129])).
% 1.67/1.90 tff(134,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[133])).
% 1.67/1.90 tff(135,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(136,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[135, 7])).
% 1.67/1.90 tff(137,plain,
% 1.67/1.90 (sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[136])).
% 1.67/1.90 tff(138,plain,
% 1.67/1.90 (sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(transitivity,[status(thm)],[137, 134])).
% 1.67/1.90 tff(139,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[138])).
% 1.67/1.90 tff(140,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[139])).
% 1.67/1.90 tff(141,plain,
% 1.67/1.90 (sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))) = sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))),
% 1.67/1.90 inference(symmetry,[status(thm)],[124])).
% 1.67/1.90 tff(142,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[141])).
% 1.67/1.90 tff(143,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[142])).
% 1.67/1.90 tff(144,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(145,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[144, 7])).
% 1.67/1.90 tff(146,plain,
% 1.67/1.90 (sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[145])).
% 1.67/1.90 tff(147,plain,
% 1.67/1.90 (sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(transitivity,[status(thm)],[146, 143])).
% 1.67/1.90 tff(148,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[147])).
% 1.67/1.90 tff(149,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[148])).
% 1.67/1.90 tff(150,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[149])).
% 1.67/1.90 tff(151,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[150])).
% 1.67/1.90 tff(152,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(153,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[152, 7])).
% 1.67/1.90 tff(154,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[153])).
% 1.67/1.90 tff(155,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))) = sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(156,plain,
% 1.67/1.90 (sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))) = sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[155, 7])).
% 1.67/1.90 tff(157,plain,
% 1.67/1.90 (sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))) = sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))),
% 1.67/1.90 inference(symmetry,[status(thm)],[156])).
% 1.67/1.90 tff(158,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[157])).
% 1.67/1.90 tff(159,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[158])).
% 1.67/1.90 tff(160,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(161,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[160, 7])).
% 1.67/1.90 tff(162,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))) = sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[157])).
% 1.67/1.90 tff(163,plain,
% 1.67/1.90 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))) = sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[162])).
% 1.67/1.90 tff(164,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[163])).
% 1.67/1.90 tff(165,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[147])).
% 1.67/1.90 tff(166,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(transitivity,[status(thm)],[165, 164, 161, 159])).
% 1.67/1.90 tff(167,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[166])).
% 1.67/1.90 tff(168,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[167])).
% 1.67/1.90 tff(169,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(transitivity,[status(thm)],[168, 154, 151, 140, 120])).
% 1.67/1.90 tff(170,plain,
% 1.67/1.90 (sep(lseg(x5, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[169])).
% 1.67/1.90 tff(171,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(172,plain,
% 1.67/1.90 (sep(lseg(x5, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[171, 7])).
% 1.67/1.90 tff(173,plain,
% 1.67/1.90 (sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x5, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[172])).
% 1.67/1.90 tff(174,plain,
% 1.67/1.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(175,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[174, 7])).
% 1.67/1.90 tff(176,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[133])).
% 1.67/1.90 tff(177,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.90 inference(symmetry,[status(thm)],[176])).
% 1.67/1.90 tff(178,plain,
% 1.67/1.90 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[164])).
% 1.67/1.91 tff(179,plain,
% 1.67/1.91 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[161])).
% 1.67/1.91 tff(180,plain,
% 1.67/1.91 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[159])).
% 1.67/1.91 tff(181,plain,
% 1.67/1.91 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.91 inference(transitivity,[status(thm)],[180, 179, 178, 177, 175])).
% 1.67/1.91 tff(182,plain,
% 1.67/1.91 (sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[181])).
% 1.67/1.91 tff(183,plain,
% 1.67/1.91 (sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[182])).
% 1.67/1.91 tff(184,plain,
% 1.67/1.91 (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[128])).
% 1.67/1.91 tff(185,plain,
% 1.67/1.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(186,plain,
% 1.67/1.91 (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[185, 7])).
% 1.67/1.91 tff(187,plain,
% 1.67/1.91 (sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[186])).
% 1.67/1.91 tff(188,plain,
% 1.67/1.91 (sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.91 inference(transitivity,[status(thm)],[187, 184])).
% 1.67/1.91 tff(189,plain,
% 1.67/1.91 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[188])).
% 1.67/1.91 tff(190,plain,
% 1.67/1.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(191,plain,
% 1.67/1.91 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[190, 7])).
% 1.67/1.91 tff(192,plain,
% 1.67/1.91 (sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[191])).
% 1.67/1.91 tff(193,assumption,(x9 = x1), introduced(assumption)).
% 1.67/1.91 tff(194,plain,
% 1.67/1.91 (x1 = x9),
% 1.67/1.91 inference(symmetry,[status(thm)],[193])).
% 1.67/1.91 tff(195,plain,
% 1.67/1.91 (lseg(x6, x1) = lseg(x6, x9)),
% 1.67/1.91 inference(monotonicity,[status(thm)],[194])).
% 1.67/1.91 tff(196,plain,
% 1.67/1.91 (sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[195])).
% 1.67/1.91 tff(197,plain,
% 1.67/1.91 (sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.67/1.91 inference(transitivity,[status(thm)],[196, 192, 189, 180, 179, 178, 177, 175])).
% 1.67/1.91 tff(198,plain,
% 1.67/1.91 (sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[197])).
% 1.67/1.91 tff(199,plain,
% 1.67/1.91 (sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.67/1.91 inference(transitivity,[status(thm)],[198, 183])).
% 1.67/1.91 tff(200,plain,
% 1.67/1.91 (sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[199])).
% 1.67/1.91 tff(201,plain,
% 1.67/1.91 (sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.67/1.91 inference(transitivity,[status(thm)],[200, 173, 170])).
% 1.67/1.91 tff(202,plain,
% 1.67/1.91 (heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) <=> heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[201])).
% 1.67/1.91 tff(203,plain,
% 1.67/1.91 (heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) <=> heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[202])).
% 1.67/1.91 tff(204,plain,
% 1.67/1.91 ((x6 = x1) <=> (x1 = x6)),
% 1.67/1.91 inference(commutativity,[status(thm)],[])).
% 1.67/1.91 tff(205,plain,
% 1.67/1.91 ((x6 = x9) <=> (x6 = x1)),
% 1.67/1.91 inference(monotonicity,[status(thm)],[193])).
% 1.67/1.91 tff(206,plain,
% 1.67/1.91 ((x6 = x9) <=> (x1 = x6)),
% 1.67/1.91 inference(transitivity,[status(thm)],[205, 204])).
% 1.67/1.91 tff(207,plain,
% 1.67/1.91 ((x1 = x6) <=> (x6 = x9)),
% 1.67/1.91 inference(symmetry,[status(thm)],[206])).
% 1.67/1.91 tff(208,plain,
% 1.67/1.91 ((~(x1 = x6)) <=> (~(x6 = x9))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[207])).
% 1.67/1.91 tff(209,plain,
% 1.67/1.91 ((~(x1 = x6)) <=> (~(x1 = x6))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(210,axiom,(~(x1 = x6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_1')).
% 1.67/1.91 tff(211,plain,
% 1.67/1.91 (~(x1 = x6)),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[210, 209])).
% 1.67/1.91 tff(212,plain,
% 1.67/1.91 (~(x6 = x9)),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[211, 208])).
% 1.67/1.91 tff(213,plain,
% 1.67/1.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))) = sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(214,plain,
% 1.67/1.91 (sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))) = sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[213, 7])).
% 1.67/1.91 tff(215,plain,
% 1.67/1.91 (sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))) = sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.67/1.91 inference(symmetry,[status(thm)],[214])).
% 1.67/1.91 tff(216,plain,
% 1.67/1.91 (sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[215])).
% 1.67/1.91 tff(217,plain,
% 1.67/1.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.76/1.91 tff(218,plain,
% 1.76/1.91 (sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[217, 7])).
% 1.76/1.91 tff(219,plain,
% 1.76/1.91 (sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.91 inference(symmetry,[status(thm)],[218])).
% 1.76/1.91 tff(220,plain,
% 1.76/1.91 (sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.91 inference(transitivity,[status(thm)],[219, 216])).
% 1.76/1.91 tff(221,plain,
% 1.76/1.91 (sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.91 inference(monotonicity,[status(thm)],[220])).
% 1.76/1.91 tff(222,plain,
% 1.76/1.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.91 inference(quant_inst,[status(thm)],[])).
% 1.76/1.91 tff(223,plain,
% 1.76/1.91 (sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[222, 7])).
% 1.76/1.91 tff(224,plain,
% 1.76/1.91 (sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.91 inference(symmetry,[status(thm)],[223])).
% 1.76/1.91 tff(225,plain,
% 1.76/1.91 (sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.91 inference(transitivity,[status(thm)],[224, 221])).
% 1.76/1.91 tff(226,plain,
% 1.76/1.91 (sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.91 inference(monotonicity,[status(thm)],[225])).
% 1.76/1.91 tff(227,plain,
% 1.76/1.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.91 inference(quant_inst,[status(thm)],[])).
% 1.76/1.91 tff(228,plain,
% 1.76/1.91 (sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[227, 7])).
% 1.76/1.91 tff(229,plain,
% 1.76/1.91 (sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.91 inference(symmetry,[status(thm)],[228])).
% 1.76/1.91 tff(230,plain,
% 1.76/1.91 (sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.91 inference(symmetry,[status(thm)],[120])).
% 1.76/1.91 tff(231,plain,
% 1.76/1.91 (sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.91 inference(transitivity,[status(thm)],[230, 139, 150, 153, 167])).
% 1.76/1.91 tff(232,plain,
% 1.76/1.91 (sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.91 inference(monotonicity,[status(thm)],[231])).
% 1.76/1.91 tff(233,plain,
% 1.76/1.91 (sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.91 inference(transitivity,[status(thm)],[232, 229, 226])).
% 1.76/1.91 tff(234,plain,
% 1.76/1.91 (sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) = sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.91 inference(monotonicity,[status(thm)],[233])).
% 1.76/1.91 tff(235,plain,
% 1.76/1.91 (heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))) <=> heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))))),
% 1.76/1.91 inference(monotonicity,[status(thm)],[234])).
% 1.76/1.91 tff(236,plain,
% 1.76/1.91 (heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))) <=> heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.91 inference(symmetry,[status(thm)],[235])).
% 1.76/1.91 tff(237,plain,
% 1.76/1.91 (heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))) <=> heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))))),
% 1.76/1.91 inference(rewrite,[status(thm)],[])).
% 1.76/1.91 tff(238,axiom,(heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_12')).
% 1.76/1.91 tff(239,plain,
% 1.76/1.91 (heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))))),
% 1.76/1.91 inference(modus_ponens,[status(thm)],[238, 237])).
% 1.76/1.91 tff(240,plain,
% 1.76/1.91 (heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.91 inference(modus_ponens,[status(thm)],[239, 236])).
% 1.76/1.91 tff(241,plain,
% 1.76/1.91 (^[Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : refl((heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))) <=> (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))))),
% 1.76/1.91 inference(bind,[status(th)],[])).
% 1.76/1.91 tff(242,plain,
% 1.76/1.91 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))) <=> ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 1.76/1.92 inference(quant_intro,[status(thm)],[241])).
% 1.76/1.92 tff(243,plain,
% 1.76/1.92 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))) <=> ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(244,plain,
% 1.76/1.92 (^[Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : rewrite((((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma)))) <=> (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma)))))))),
% 1.76/1.92 inference(bind,[status(th)],[])).
% 1.76/1.92 tff(245,plain,
% 1.76/1.92 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma)))) <=> ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 1.76/1.92 inference(quant_intro,[status(thm)],[244])).
% 1.76/1.92 tff(246,axiom,(![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax','unfolding_5')).
% 1.76/1.92 tff(247,plain,
% 1.76/1.92 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[246, 245])).
% 1.76/1.92 tff(248,plain,
% 1.76/1.92 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[247, 243])).
% 1.76/1.92 tff(249,plain,(
% 1.76/1.92 ![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 1.76/1.92 inference(skolemize,[status(sab)],[248])).
% 1.76/1.92 tff(250,plain,
% 1.76/1.92 (![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[249, 242])).
% 1.76/1.92 tff(251,plain,
% 1.76/1.92 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(252,plain,
% 1.76/1.92 ((heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (x6 = x9) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(253,plain,
% 1.76/1.92 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (x6 = x9) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[252])).
% 1.76/1.92 tff(254,plain,
% 1.76/1.92 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (x6 = x9) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.92 inference(transitivity,[status(thm)],[253, 251])).
% 1.76/1.92 tff(255,plain,
% 1.76/1.92 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (x6 = x9) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(256,plain,
% 1.76/1.92 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[255, 254])).
% 1.76/1.92 tff(257,plain,
% 1.76/1.92 ((x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[256, 250])).
% 1.76/1.92 tff(258,plain,
% 1.76/1.92 ((x6 = x9) | heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[257, 240])).
% 1.76/1.92 tff(259,plain,
% 1.76/1.92 (heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[258, 212])).
% 1.76/1.92 tff(260,plain,
% 1.76/1.92 (heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[259, 203])).
% 1.76/1.92 tff(261,plain,
% 1.76/1.92 ((x1 = x6) <=> (x6 = x1)),
% 1.76/1.92 inference(symmetry,[status(thm)],[204])).
% 1.76/1.92 tff(262,plain,
% 1.76/1.92 ((~(x1 = x6)) <=> (~(x6 = x1))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[261])).
% 1.76/1.92 tff(263,plain,
% 1.76/1.92 (~(x6 = x1)),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[211, 262])).
% 1.76/1.92 tff(264,plain,
% 1.76/1.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(265,plain,
% 1.76/1.92 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[264, 7])).
% 1.76/1.92 tff(266,plain,
% 1.76/1.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(267,plain,
% 1.76/1.92 (sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[266, 7])).
% 1.76/1.92 tff(268,plain,
% 1.76/1.92 (sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))),
% 1.76/1.92 inference(symmetry,[status(thm)],[267])).
% 1.76/1.92 tff(269,plain,
% 1.76/1.92 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[268])).
% 1.76/1.92 tff(270,plain,
% 1.76/1.92 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.76/1.92 inference(transitivity,[status(thm)],[269, 265])).
% 1.76/1.92 tff(271,plain,
% 1.76/1.92 (sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[270])).
% 1.76/1.92 tff(272,plain,
% 1.76/1.92 (sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.92 inference(symmetry,[status(thm)],[271])).
% 1.76/1.92 tff(273,plain,
% 1.76/1.92 (^[Sigma: $i, X: $i] : refl((sep(lseg(X, X), Sigma) = Sigma) <=> (sep(lseg(X, X), Sigma) = Sigma))),
% 1.76/1.92 inference(bind,[status(th)],[])).
% 1.76/1.92 tff(274,plain,
% 1.76/1.92 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 1.76/1.92 inference(quant_intro,[status(thm)],[273])).
% 1.76/1.92 tff(275,plain,
% 1.76/1.92 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(276,axiom,(![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)), file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax','normalization')).
% 1.76/1.92 tff(277,plain,
% 1.76/1.92 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[276, 275])).
% 1.76/1.92 tff(278,plain,(
% 1.76/1.92 ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 1.76/1.92 inference(skolemize,[status(sab)],[277])).
% 1.76/1.92 tff(279,plain,
% 1.76/1.92 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[278, 274])).
% 1.76/1.92 tff(280,plain,
% 1.76/1.92 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x1, x1), sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(281,plain,
% 1.76/1.92 (sep(lseg(x1, x1), sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[280, 279])).
% 1.76/1.92 tff(282,plain,
% 1.76/1.92 (lseg(x1, x1) = lseg(x9, x1)),
% 1.76/1.92 inference(monotonicity,[status(thm)],[194])).
% 1.76/1.92 tff(283,plain,
% 1.76/1.92 (lseg(x9, x1) = lseg(x1, x1)),
% 1.76/1.92 inference(symmetry,[status(thm)],[282])).
% 1.76/1.92 tff(284,plain,
% 1.76/1.92 (sep(lseg(x9, x1), sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x1, x1), sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[283])).
% 1.76/1.92 tff(285,plain,
% 1.76/1.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x6), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(286,plain,
% 1.76/1.92 (sep(lseg(x2, x6), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x9, x1), sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[285, 7])).
% 1.76/1.92 tff(287,plain,
% 1.76/1.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(288,plain,
% 1.76/1.92 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[287, 7])).
% 1.76/1.92 tff(289,plain,
% 1.76/1.92 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.76/1.92 inference(symmetry,[status(thm)],[165])).
% 1.76/1.92 tff(290,plain,
% 1.76/1.92 (sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.76/1.92 inference(transitivity,[status(thm)],[192, 189, 180, 179, 178, 289, 288])).
% 1.76/1.92 tff(291,plain,
% 1.76/1.92 (sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[290])).
% 1.76/1.92 tff(292,plain,
% 1.76/1.92 (sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[196])).
% 1.76/1.92 tff(293,plain,
% 1.76/1.92 (sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[292, 291, 286, 284, 281, 272])).
% 1.76/1.93 tff(294,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[293])).
% 1.76/1.93 tff(295,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) <=> heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(symmetry,[status(thm)],[294])).
% 1.76/1.93 tff(296,plain,
% 1.76/1.93 ((~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) <=> (~heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[295])).
% 1.76/1.93 tff(297,plain,
% 1.76/1.93 (sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[291, 286, 284, 281, 272])).
% 1.76/1.93 tff(298,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[297])).
% 1.76/1.93 tff(299,plain,
% 1.76/1.93 ((~heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) <=> (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[298])).
% 1.76/1.93 tff(300,plain,
% 1.76/1.93 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.93 inference(symmetry,[status(thm)],[189])).
% 1.76/1.93 tff(301,plain,
% 1.76/1.93 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[141])).
% 1.76/1.93 tff(302,plain,
% 1.76/1.93 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.76/1.93 inference(symmetry,[status(thm)],[301])).
% 1.76/1.93 tff(303,plain,
% 1.76/1.93 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(304,plain,
% 1.76/1.93 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[303, 7])).
% 1.76/1.93 tff(305,plain,
% 1.76/1.93 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))),
% 1.76/1.93 inference(symmetry,[status(thm)],[304])).
% 1.76/1.93 tff(306,plain,
% 1.76/1.93 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[305, 302])).
% 1.76/1.93 tff(307,plain,
% 1.76/1.93 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[306])).
% 1.76/1.93 tff(308,plain,
% 1.76/1.93 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[307, 300, 191])).
% 1.76/1.93 tff(309,plain,
% 1.76/1.93 (sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[308])).
% 1.76/1.93 tff(310,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[309])).
% 1.76/1.93 tff(311,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(symmetry,[status(thm)],[310])).
% 1.76/1.93 tff(312,assumption,(heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))), introduced(assumption)).
% 1.76/1.93 tff(313,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[312, 311])).
% 1.76/1.93 tff(314,plain,
% 1.76/1.93 ((~(x2 = x6)) <=> (~(x2 = x6))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(315,axiom,(~(x2 = x6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_9')).
% 1.76/1.93 tff(316,plain,
% 1.76/1.93 (~(x2 = x6)),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[315, 314])).
% 1.76/1.93 tff(317,plain,
% 1.76/1.93 (^[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))))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(318,plain,
% 1.76/1.93 (![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)))))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[317])).
% 1.76/1.93 tff(319,plain,
% 1.76/1.93 (![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)))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(320,plain,
% 1.76/1.93 (^[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))))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(321,plain,
% 1.76/1.93 (![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)))))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[320])).
% 1.76/1.93 tff(322,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/sandbox/benchmark/Axioms/SWV013-0.ax','wellformedness_5')).
% 1.76/1.93 tff(323,plain,
% 1.76/1.93 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[322, 321])).
% 1.76/1.93 tff(324,plain,
% 1.76/1.93 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[323, 319])).
% 1.76/1.93 tff(325,plain,(
% 1.76/1.93 ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 1.76/1.93 inference(skolemize,[status(sab)],[324])).
% 1.76/1.93 tff(326,plain,
% 1.76/1.93 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[325, 318])).
% 1.76/1.93 tff(327,plain,
% 1.76/1.93 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x6) | (x2 = x10) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x6) | (x2 = x10) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(328,plain,
% 1.76/1.93 (((x2 = x10) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))) <=> ((x2 = x6) | (x2 = x10) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(329,plain,
% 1.76/1.93 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x10) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x6) | (x2 = x10) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[328])).
% 1.76/1.93 tff(330,plain,
% 1.76/1.93 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x10) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x6) | (x2 = x10) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[329, 327])).
% 1.76/1.93 tff(331,plain,
% 1.76/1.93 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x10) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(332,plain,
% 1.76/1.93 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x6) | (x2 = x10) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[331, 330])).
% 1.76/1.93 tff(333,plain,
% 1.76/1.93 ((x2 = x10) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[332, 326, 316])).
% 1.76/1.93 tff(334,plain,
% 1.76/1.93 (x2 = x10),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[333, 313])).
% 1.76/1.93 tff(335,plain,
% 1.76/1.93 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[165, 164, 161, 159, 300, 191])).
% 1.76/1.93 tff(336,plain,
% 1.76/1.93 (sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[335])).
% 1.76/1.93 tff(337,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[336])).
% 1.76/1.93 tff(338,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) <=> heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(symmetry,[status(thm)],[337])).
% 1.76/1.93 tff(339,plain,
% 1.76/1.93 (heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[312, 338])).
% 1.76/1.93 tff(340,plain,
% 1.76/1.93 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x6) | (x2 = x1) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x6) | (x2 = x1) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(341,plain,
% 1.76/1.93 (((x2 = x1) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))) <=> ((x2 = x6) | (x2 = x1) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(342,plain,
% 1.76/1.93 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x1) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x6) | (x2 = x1) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[341])).
% 1.76/1.93 tff(343,plain,
% 1.76/1.93 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x1) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x6) | (x2 = x1) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[342, 340])).
% 1.76/1.93 tff(344,plain,
% 1.76/1.93 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x1) | (x2 = x6) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(345,plain,
% 1.76/1.93 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x6) | (x2 = x1) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[344, 343])).
% 1.76/1.93 tff(346,plain,
% 1.76/1.93 ((x2 = x1) | (~heap(sep(lseg(x2, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[345, 326, 316])).
% 1.76/1.93 tff(347,plain,
% 1.76/1.93 (x2 = x1),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[346, 339])).
% 1.76/1.93 tff(348,plain,
% 1.76/1.93 (x1 = x2),
% 1.76/1.93 inference(symmetry,[status(thm)],[347])).
% 1.76/1.93 tff(349,plain,
% 1.76/1.93 (x1 = x10),
% 1.76/1.93 inference(transitivity,[status(thm)],[348, 334])).
% 1.76/1.93 tff(350,plain,
% 1.76/1.93 ((~(x1 = x10)) <=> (~(x1 = x10))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(351,axiom,(~(x1 = x10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_3')).
% 1.76/1.93 tff(352,plain,
% 1.76/1.93 (~(x1 = x10)),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[351, 350])).
% 1.76/1.93 tff(353,plain,
% 1.76/1.93 ($false),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[352, 349])).
% 1.76/1.93 tff(354,plain,(~heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.93 tff(355,plain,
% 1.76/1.93 (~heap(sep(lseg(x2, x6), sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[354, 299])).
% 1.76/1.93 tff(356,plain,
% 1.76/1.93 (~heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[355, 296])).
% 1.76/1.93 tff(357,plain,
% 1.76/1.93 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x6 = x1) | heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x1) | heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(358,plain,
% 1.76/1.93 ((heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))) <=> ((x6 = x1) | heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(359,plain,
% 1.76/1.93 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x6 = x1) | heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[358])).
% 1.76/1.93 tff(360,plain,
% 1.76/1.93 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x1) | heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[359, 357])).
% 1.76/1.94 tff(361,plain,
% 1.76/1.94 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(362,plain,
% 1.76/1.94 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x1) | heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[361, 360])).
% 1.76/1.94 tff(363,plain,
% 1.76/1.94 ((x6 = x1) | heap(sep(lseg(x2, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x1), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[362, 250])).
% 1.76/1.94 tff(364,plain,
% 1.76/1.94 ($false),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[363, 356, 263, 260])).
% 1.76/1.94 tff(365,plain,(~(x9 = x1)), inference(lemma,lemma(discharge,[]))).
% 1.76/1.94 tff(366,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))) = sep(lseg(x2, x5), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(367,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))) = sep(lseg(x2, x5), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[366, 7])).
% 1.76/1.94 tff(368,plain,
% 1.76/1.94 (sep(lseg(x2, x5), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))) = sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[367])).
% 1.76/1.94 tff(369,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(370,plain,
% 1.76/1.94 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[369, 7])).
% 1.76/1.94 tff(371,plain,
% 1.76/1.94 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[370])).
% 1.76/1.94 tff(372,plain,
% 1.76/1.94 (sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[371])).
% 1.76/1.94 tff(373,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[372])).
% 1.76/1.94 tff(374,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(375,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[374, 7])).
% 1.76/1.94 tff(376,plain,
% 1.76/1.94 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[375])).
% 1.76/1.94 tff(377,plain,
% 1.76/1.94 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[216])).
% 1.76/1.94 tff(378,plain,
% 1.76/1.94 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[371, 377, 218])).
% 1.76/1.94 tff(379,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[378])).
% 1.76/1.94 tff(380,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[379])).
% 1.76/1.94 tff(381,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(382,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[381, 7])).
% 1.76/1.94 tff(383,plain,
% 1.76/1.94 (sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x5, x7), sep(lseg(x7, x6), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[382])).
% 1.76/1.94 tff(384,plain,
% 1.76/1.94 (sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[383, 380])).
% 1.76/1.94 tff(385,plain,
% 1.76/1.94 (sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[384])).
% 1.76/1.94 tff(386,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(387,plain,
% 1.76/1.94 (sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[386, 7])).
% 1.76/1.94 tff(388,plain,
% 1.76/1.94 (sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x10), sep(lseg(x7, x6), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[387])).
% 1.76/1.94 tff(389,plain,
% 1.76/1.94 (sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[388, 385, 376, 373])).
% 1.76/1.94 tff(390,plain,
% 1.76/1.94 (sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))) = sep(lseg(x2, x5), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[389])).
% 1.76/1.94 tff(391,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))) = sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(392,plain,
% 1.76/1.94 (sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))) = sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[391, 7])).
% 1.76/1.94 tff(393,plain,
% 1.76/1.94 (sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))) = sep(lseg(x2, x5), sep(lseg(x7, x6), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[392])).
% 1.76/1.94 tff(394,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(395,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[394, 7])).
% 1.76/1.94 tff(396,plain,
% 1.76/1.94 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))) = sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[158])).
% 1.76/1.94 tff(397,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[396])).
% 1.76/1.94 tff(398,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[397, 395])).
% 1.76/1.94 tff(399,plain,
% 1.76/1.94 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[398])).
% 1.76/1.94 tff(400,plain,
% 1.76/1.94 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[399])).
% 1.76/1.94 tff(401,plain,
% 1.76/1.94 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[400])).
% 1.76/1.94 tff(402,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[188])).
% 1.76/1.94 tff(403,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(404,plain,
% 1.76/1.94 (sep(lseg(x5, x7), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[403, 7])).
% 1.76/1.94 tff(405,plain,
% 1.76/1.94 (sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.94 inference(symmetry,[status(thm)],[404])).
% 1.76/1.94 tff(406,plain,
% 1.76/1.94 (sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[405, 402])).
% 1.76/1.94 tff(407,plain,
% 1.76/1.94 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[406])).
% 1.76/1.94 tff(408,plain,
% 1.76/1.94 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(409,plain,
% 1.76/1.95 (sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[408, 7])).
% 1.76/1.95 tff(410,plain,
% 1.76/1.95 (sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x10), sep(lseg(x6, x9), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.95 inference(symmetry,[status(thm)],[409])).
% 1.76/1.95 tff(411,plain,
% 1.76/1.95 (sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[410, 407, 399])).
% 1.76/1.95 tff(412,plain,
% 1.76/1.95 (sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[411])).
% 1.76/1.95 tff(413,plain,
% 1.76/1.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(414,plain,
% 1.76/1.95 (sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[413, 7])).
% 1.76/1.95 tff(415,plain,
% 1.76/1.95 (sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x2, x5), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.95 inference(symmetry,[status(thm)],[414])).
% 1.76/1.95 tff(416,plain,
% 1.76/1.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(417,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[416, 7])).
% 1.76/1.95 tff(418,plain,
% 1.76/1.95 (sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))) = sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))),
% 1.76/1.95 inference(symmetry,[status(thm)],[25])).
% 1.76/1.95 tff(419,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[418])).
% 1.76/1.95 tff(420,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[419, 417])).
% 1.76/1.95 tff(421,plain,
% 1.76/1.95 (sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[420])).
% 1.76/1.95 tff(422,plain,
% 1.76/1.95 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[421])).
% 1.76/1.95 tff(423,plain,
% 1.76/1.95 (sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.95 inference(symmetry,[status(thm)],[422])).
% 1.76/1.95 tff(424,plain,
% 1.76/1.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(425,plain,
% 1.76/1.95 (sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[424, 7])).
% 1.76/1.95 tff(426,plain,
% 1.76/1.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(427,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[426, 7])).
% 1.76/1.95 tff(428,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[19])).
% 1.76/1.95 tff(429,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[428, 427])).
% 1.76/1.95 tff(430,plain,
% 1.76/1.95 (sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[429])).
% 1.76/1.95 tff(431,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))) = sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[12])).
% 1.76/1.95 tff(432,plain,
% 1.76/1.95 (sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[431])).
% 1.76/1.95 tff(433,plain,
% 1.76/1.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(434,plain,
% 1.76/1.95 (sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[433, 7])).
% 1.76/1.95 tff(435,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.76/1.95 inference(symmetry,[status(thm)],[434])).
% 1.76/1.95 tff(436,plain,
% 1.76/1.95 (sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))) = sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[27, 24, 21, 14])).
% 1.76/1.95 tff(437,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[436])).
% 1.76/1.95 tff(438,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp)))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[437, 435, 432, 430, 425])).
% 1.76/1.95 tff(439,plain,
% 1.76/1.95 (sep(lseg(x2, x5), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x5, x7), sep(lseg(x3, x10), sep(lseg(x9, x1), emp))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[438])).
% 1.76/1.95 tff(440,plain,
% 1.76/1.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(441,plain,
% 1.76/1.95 (sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x5, x7), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[440, 7])).
% 1.76/1.95 tff(442,plain,
% 1.76/1.95 (sep(lseg(x9, x1), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x7), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.95 inference(symmetry,[status(thm)],[103])).
% 1.76/1.95 tff(443,plain,
% 1.76/1.95 (sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[75, 100, 442, 106, 441, 439, 423])).
% 1.76/1.95 tff(444,plain,
% 1.76/1.95 (sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))) = sep(lseg(x6, x9), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[443])).
% 1.76/1.95 tff(445,plain,
% 1.76/1.95 (sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))) = sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[444, 415, 412, 401])).
% 1.76/1.95 tff(446,plain,
% 1.76/1.95 (sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) = sep(lseg(x7, x6), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[445])).
% 1.76/1.95 tff(447,plain,
% 1.76/1.95 (sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) = sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[446, 393, 390, 368])).
% 1.76/1.95 tff(448,plain,
% 1.76/1.95 (heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))) <=> heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[447])).
% 1.76/1.95 tff(449,plain,
% 1.76/1.95 (heap(sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x7, x6), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))))) <=> heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.95 inference(symmetry,[status(thm)],[448])).
% 1.76/1.95 tff(450,plain,
% 1.76/1.95 (heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[239, 449])).
% 1.76/1.95 tff(451,plain,
% 1.76/1.95 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(452,plain,
% 1.76/1.95 ((heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (x9 = x1) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))))) <=> ((x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(453,plain,
% 1.76/1.95 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (x9 = x1) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[452])).
% 1.76/1.95 tff(454,plain,
% 1.76/1.95 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (x9 = x1) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[453, 451])).
% 1.76/1.96 tff(455,plain,
% 1.76/1.96 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (x9 = x1) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(456,plain,
% 1.76/1.96 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[455, 454])).
% 1.76/1.96 tff(457,plain,
% 1.76/1.96 ((x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp)))))))) | (~heap(sep(lseg(x7, x6), sep(lseg(x6, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[456, 250])).
% 1.76/1.96 tff(458,plain,
% 1.76/1.96 ((x9 = x1) | heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[457, 450])).
% 1.76/1.96 tff(459,plain,
% 1.76/1.96 (heap(sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x5, x7), sep(lseg(x2, x5), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[458, 365])).
% 1.76/1.96 tff(460,plain,
% 1.76/1.96 (heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[459, 118])).
% 1.76/1.96 tff(461,plain,
% 1.76/1.96 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) | heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) | heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(462,plain,
% 1.76/1.96 ((heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) | (x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))))) <=> ((x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) | heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(463,plain,
% 1.76/1.96 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) | (x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) | heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[462])).
% 1.76/1.96 tff(464,plain,
% 1.76/1.96 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) | (x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) | heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[463, 461])).
% 1.76/1.96 tff(465,plain,
% 1.76/1.96 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))) | (x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(466,plain,
% 1.76/1.96 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | (~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) | heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[465, 464])).
% 1.76/1.96 tff(467,plain,
% 1.76/1.96 ((~heap(sep(lseg(x5, x7), sep(lseg(x7, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) | heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[466, 250, 365])).
% 1.76/1.96 tff(468,plain,
% 1.76/1.96 (heap(sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[467, 460])).
% 1.76/1.96 tff(469,plain,
% 1.76/1.96 (heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[468, 60])).
% 1.76/1.96 tff(470,plain,
% 1.76/1.96 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) | heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) | heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(471,plain,
% 1.76/1.96 ((heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) | (x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))))) <=> ((x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) | heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(472,plain,
% 1.76/1.96 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) | (x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) | heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[471])).
% 1.76/1.96 tff(473,plain,
% 1.76/1.96 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) | (x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) | heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[472, 470])).
% 1.76/1.96 tff(474,plain,
% 1.76/1.96 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) | (x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(475,plain,
% 1.76/1.96 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x9 = x1) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) | heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[474, 473])).
% 1.76/1.96 tff(476,plain,
% 1.76/1.96 ((~heap(sep(lseg(x2, x5), sep(lseg(x5, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))) | heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[475, 250, 365])).
% 1.76/1.96 tff(477,plain,
% 1.76/1.96 (heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[476, 469])).
% 1.76/1.96 tff(478,plain,
% 1.76/1.96 (heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[477, 35])).
% 1.76/1.96 tff(479,plain,
% 1.76/1.96 (sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))) = sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[192, 189, 180, 179, 178, 177, 175])).
% 1.76/1.96 tff(480,plain,
% 1.76/1.96 (sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[479])).
% 1.76/1.96 tff(481,plain,
% 1.76/1.96 (sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))) = sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[480, 183])).
% 1.76/1.96 tff(482,plain,
% 1.76/1.96 (sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), sep(lseg(x6, x9), emp)))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[481])).
% 1.76/1.96 tff(483,plain,
% 1.76/1.96 (sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) = sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[482, 173, 170])).
% 1.76/1.96 tff(484,plain,
% 1.76/1.96 (heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) <=> heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[483])).
% 1.76/1.96 tff(485,plain,
% 1.76/1.96 (heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))) <=> heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(symmetry,[status(thm)],[484])).
% 1.76/1.96 tff(486,assumption,(~(x6 = x9)), introduced(assumption)).
% 1.76/1.96 tff(487,plain,
% 1.76/1.96 (heap(sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x1), sep(lseg(x2, x5), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[258, 486])).
% 1.76/1.96 tff(488,plain,
% 1.76/1.96 (heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[487, 485])).
% 1.76/1.97 tff(489,plain,
% 1.76/1.97 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x6 = x9) | heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x9) | heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(490,plain,
% 1.76/1.97 ((heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x9) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))) <=> ((x6 = x9) | heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(491,plain,
% 1.76/1.97 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x9) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | ((x6 = x9) | heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[490])).
% 1.76/1.97 tff(492,plain,
% 1.76/1.97 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x9) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))) <=> ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x9) | heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.97 inference(transitivity,[status(thm)],[491, 489])).
% 1.76/1.97 tff(493,plain,
% 1.76/1.97 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (x6 = x9) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(494,plain,
% 1.76/1.97 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x6 = x9) | heap(sep(lseg(x2, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))) | (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp)))))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[493, 492])).
% 1.76/1.97 tff(495,plain,
% 1.76/1.97 (~heap(sep(lseg(x2, x5), sep(lseg(x5, x6), sep(lseg(x6, x9), sep(lseg(x2, x10), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[494, 250, 486, 354])).
% 1.76/1.97 tff(496,plain,
% 1.76/1.97 ($false),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[495, 488])).
% 1.76/1.97 tff(497,plain,(x6 = x9), inference(lemma,lemma(discharge,[]))).
% 1.76/1.97 tff(498,plain,
% 1.76/1.97 ((x2 = x6) <=> (x2 = x9)),
% 1.76/1.97 inference(monotonicity,[status(thm)],[497])).
% 1.76/1.97 tff(499,plain,
% 1.76/1.97 ((~(x2 = x6)) <=> (~(x2 = x9))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[498])).
% 1.76/1.97 tff(500,plain,
% 1.76/1.97 (~(x2 = x9)),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[316, 499])).
% 1.76/1.97 tff(501,plain,
% 1.76/1.97 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x10) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x10) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(502,plain,
% 1.76/1.97 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x10) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(503,plain,
% 1.76/1.97 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x10) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[502, 501])).
% 1.76/1.97 tff(504,plain,
% 1.76/1.97 ((x2 = x10) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x10), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[503, 326])).
% 1.76/1.97 tff(505,plain,
% 1.76/1.97 (x2 = x10),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[504, 500, 478])).
% 1.76/1.97 tff(506,plain,
% 1.76/1.97 (sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[9])).
% 1.76/1.97 tff(507,plain,
% 1.76/1.97 (heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) <=> heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[506])).
% 1.76/1.97 tff(508,plain,
% 1.76/1.97 (heap(sep(lseg(x2, x9), sep(lseg(x9, x1), sep(lseg(x2, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))) <=> heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.76/1.97 inference(symmetry,[status(thm)],[507])).
% 1.76/1.97 tff(509,plain,
% 1.76/1.97 (heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[477, 508])).
% 1.76/1.97 tff(510,plain,
% 1.76/1.97 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x1) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x1) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(511,plain,
% 1.76/1.97 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x2 = x1) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp))))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(512,plain,
% 1.76/1.97 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x2 = x1) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[511, 510])).
% 1.76/1.97 tff(513,plain,
% 1.76/1.97 ((x2 = x1) | (x2 = x9) | (~heap(sep(lseg(x2, x9), sep(lseg(x2, x1), sep(lseg(x9, x1), sep(lseg(x2, x10), sep(lseg(x3, x10), emp)))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[512, 326])).
% 1.76/1.97 tff(514,plain,
% 1.76/1.97 (x2 = x1),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[513, 500, 509])).
% 1.76/1.97 tff(515,plain,
% 1.76/1.97 (x1 = x2),
% 1.76/1.97 inference(symmetry,[status(thm)],[514])).
% 1.76/1.97 tff(516,plain,
% 1.76/1.97 (x1 = x10),
% 1.76/1.97 inference(transitivity,[status(thm)],[515, 505])).
% 1.76/1.97 tff(517,plain,
% 1.76/1.97 ($false),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[352, 516])).
% 1.76/1.97 % SZS output end Proof
% 1.76/1.98 % E exiting
%------------------------------------------------------------------------------