TSTP Solution File: SWW431-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW431-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.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 : Thu Sep 29 20:58:38 EDT 2022
% Result : Unsatisfiable 16.57s 10.53s
% Output : Proof 17.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW431-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Sep 4 17:05:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 16.57/10.53 % SZS status Unsatisfiable
% 16.57/10.53 % SZS output start Proof
% 16.57/10.53 tff(heap_type, type, (
% 16.57/10.53 heap: $i > $o)).
% 16.57/10.53 tff(sep_type, type, (
% 16.57/10.53 sep: ( $i * $i ) > $i)).
% 16.57/10.53 tff(emp_type, type, (
% 16.57/10.53 emp: $i)).
% 16.57/10.53 tff(lseg_type, type, (
% 16.57/10.53 lseg: ( $i * $i ) > $i)).
% 16.57/10.53 tff(x1_type, type, (
% 16.57/10.53 x1: $i)).
% 16.57/10.53 tff(x11_type, type, (
% 16.57/10.53 x11: $i)).
% 16.57/10.53 tff(x10_type, type, (
% 16.57/10.53 x10: $i)).
% 16.57/10.53 tff(x7_type, type, (
% 16.57/10.53 x7: $i)).
% 16.57/10.53 tff(x2_type, type, (
% 16.57/10.53 x2: $i)).
% 16.57/10.53 tff(x9_type, type, (
% 16.57/10.53 x9: $i)).
% 16.57/10.53 tff(x8_type, type, (
% 16.57/10.53 x8: $i)).
% 16.57/10.53 tff(x13_type, type, (
% 16.57/10.53 x13: $i)).
% 16.57/10.53 tff(x4_type, type, (
% 16.57/10.53 x4: $i)).
% 16.57/10.53 tff(x3_type, type, (
% 16.57/10.53 x3: $i)).
% 16.57/10.53 tff(x5_type, type, (
% 16.57/10.53 x5: $i)).
% 16.57/10.53 tff(x12_type, type, (
% 16.57/10.53 x12: $i)).
% 16.57/10.53 tff(1,plain,
% 16.57/10.53 (^[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))))),
% 16.57/10.53 inference(bind,[status(th)],[])).
% 16.57/10.53 tff(2,plain,
% 16.57/10.53 (![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)))),
% 16.57/10.53 inference(quant_intro,[status(thm)],[1])).
% 16.57/10.53 tff(3,plain,
% 16.57/10.53 (![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)))),
% 16.57/10.53 inference(rewrite,[status(thm)],[])).
% 16.57/10.53 tff(4,axiom,(![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','associative_commutative')).
% 16.57/10.53 tff(5,plain,
% 16.57/10.53 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 16.57/10.53 inference(modus_ponens,[status(thm)],[4, 3])).
% 16.57/10.53 tff(6,plain,(
% 16.57/10.53 ![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 16.57/10.53 inference(skolemize,[status(sab)],[5])).
% 16.57/10.53 tff(7,plain,
% 16.57/10.53 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 16.57/10.53 inference(modus_ponens,[status(thm)],[6, 2])).
% 16.57/10.53 tff(8,plain,
% 16.57/10.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))),
% 16.57/10.53 inference(quant_inst,[status(thm)],[])).
% 16.57/10.53 tff(9,plain,
% 16.57/10.53 (sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.57/10.53 inference(unit_resolution,[status(thm)],[8, 7])).
% 16.57/10.53 tff(10,plain,
% 16.57/10.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x11, x7), sep(lseg(x11, x1), emp)) = sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))),
% 16.57/10.53 inference(quant_inst,[status(thm)],[])).
% 16.57/10.53 tff(11,plain,
% 16.57/10.53 (sep(lseg(x11, x7), sep(lseg(x11, x1), emp)) = sep(lseg(x11, x1), sep(lseg(x11, x7), emp))),
% 16.57/10.53 inference(unit_resolution,[status(thm)],[10, 7])).
% 16.57/10.53 tff(12,plain,
% 16.57/10.53 (sep(lseg(x11, x1), sep(lseg(x11, x7), emp)) = sep(lseg(x11, x7), sep(lseg(x11, x1), emp))),
% 16.57/10.53 inference(symmetry,[status(thm)],[11])).
% 16.57/10.53 tff(13,plain,
% 16.57/10.53 (sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))) = sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))),
% 16.57/10.53 inference(monotonicity,[status(thm)],[12])).
% 16.57/10.53 tff(14,plain,
% 16.57/10.53 (sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))) = sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))),
% 16.57/10.53 inference(symmetry,[status(thm)],[13])).
% 16.57/10.53 tff(15,plain,
% 16.57/10.53 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.57/10.53 inference(monotonicity,[status(thm)],[14])).
% 16.57/10.54 tff(16,plain,
% 16.57/10.54 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.57/10.54 inference(symmetry,[status(thm)],[15])).
% 16.57/10.54 tff(17,plain,
% 16.57/10.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.54 inference(quant_inst,[status(thm)],[])).
% 16.57/10.54 tff(18,plain,
% 16.57/10.54 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.57/10.54 inference(unit_resolution,[status(thm)],[17, 7])).
% 16.57/10.54 tff(19,plain,
% 16.57/10.54 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.57/10.54 inference(symmetry,[status(thm)],[18])).
% 16.57/10.54 tff(20,plain,
% 16.57/10.54 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.57/10.54 inference(transitivity,[status(thm)],[19, 16])).
% 16.57/10.54 tff(21,plain,
% 16.57/10.54 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.54 inference(monotonicity,[status(thm)],[20])).
% 16.57/10.54 tff(22,plain,
% 16.57/10.54 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.54 inference(monotonicity,[status(thm)],[21])).
% 16.57/10.54 tff(23,plain,
% 16.57/10.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.54 inference(quant_inst,[status(thm)],[])).
% 16.57/10.54 tff(24,plain,
% 16.57/10.54 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.54 inference(unit_resolution,[status(thm)],[23, 7])).
% 16.57/10.54 tff(25,plain,
% 16.57/10.54 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.54 inference(symmetry,[status(thm)],[24])).
% 16.57/10.54 tff(26,plain,
% 16.57/10.54 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.54 inference(transitivity,[status(thm)],[25, 22])).
% 16.57/10.54 tff(27,plain,
% 16.57/10.54 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.54 inference(monotonicity,[status(thm)],[26])).
% 16.57/10.54 tff(28,plain,
% 16.57/10.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.57/10.54 inference(quant_inst,[status(thm)],[])).
% 16.57/10.54 tff(29,plain,
% 16.57/10.54 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.54 inference(unit_resolution,[status(thm)],[28, 7])).
% 16.57/10.54 tff(30,plain,
% 16.57/10.54 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.54 inference(symmetry,[status(thm)],[29])).
% 16.57/10.54 tff(31,plain,
% 16.57/10.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.54 inference(quant_inst,[status(thm)],[])).
% 16.57/10.54 tff(32,plain,
% 16.57/10.54 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.54 inference(unit_resolution,[status(thm)],[31, 7])).
% 16.57/10.54 tff(33,plain,
% 16.57/10.54 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.54 inference(monotonicity,[status(thm)],[20])).
% 16.57/10.54 tff(34,plain,
% 16.57/10.54 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.54 inference(monotonicity,[status(thm)],[33])).
% 16.57/10.54 tff(35,plain,
% 16.57/10.54 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.54 inference(symmetry,[status(thm)],[34])).
% 16.57/10.54 tff(36,plain,
% 16.57/10.54 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.54 inference(transitivity,[status(thm)],[35, 32])).
% 16.57/10.54 tff(37,plain,
% 16.57/10.54 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.54 inference(monotonicity,[status(thm)],[36])).
% 16.57/10.54 tff(38,plain,
% 16.57/10.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.54 inference(quant_inst,[status(thm)],[])).
% 16.57/10.54 tff(39,plain,
% 16.57/10.54 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.54 inference(unit_resolution,[status(thm)],[38, 7])).
% 16.57/10.54 tff(40,plain,
% 16.57/10.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))) = sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 16.57/10.54 inference(quant_inst,[status(thm)],[])).
% 16.57/10.54 tff(41,plain,
% 16.57/10.54 (sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))) = sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))),
% 16.57/10.54 inference(unit_resolution,[status(thm)],[40, 7])).
% 16.57/10.54 tff(42,plain,
% 16.57/10.54 (sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))) = sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))),
% 16.57/10.55 inference(symmetry,[status(thm)],[41])).
% 16.57/10.55 tff(43,plain,
% 16.57/10.55 (sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[42])).
% 16.57/10.55 tff(44,plain,
% 16.57/10.55 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[43])).
% 16.57/10.55 tff(45,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[44])).
% 16.57/10.55 tff(46,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.55 inference(transitivity,[status(thm)],[45, 39])).
% 16.57/10.55 tff(47,plain,
% 16.57/10.55 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[46])).
% 16.57/10.55 tff(48,plain,
% 16.57/10.55 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[47])).
% 16.57/10.55 tff(49,plain,
% 16.57/10.55 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[48])).
% 16.57/10.55 tff(50,plain,
% 16.57/10.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.55 inference(quant_inst,[status(thm)],[])).
% 16.57/10.55 tff(51,plain,
% 16.57/10.55 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.55 inference(unit_resolution,[status(thm)],[50, 7])).
% 16.57/10.55 tff(52,plain,
% 16.57/10.55 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[51])).
% 16.57/10.55 tff(53,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[45])).
% 16.57/10.55 tff(54,plain,
% 16.57/10.55 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[39])).
% 16.57/10.55 tff(55,plain,
% 16.57/10.55 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.55 inference(transitivity,[status(thm)],[54, 53])).
% 16.57/10.55 tff(56,plain,
% 16.57/10.55 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[55])).
% 16.57/10.55 tff(57,plain,
% 16.57/10.55 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[56])).
% 16.57/10.55 tff(58,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[33])).
% 16.57/10.55 tff(59,plain,
% 16.57/10.55 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[58])).
% 16.57/10.55 tff(60,plain,
% 16.57/10.55 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[59])).
% 16.57/10.55 tff(61,plain,
% 16.57/10.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.55 inference(quant_inst,[status(thm)],[])).
% 16.57/10.55 tff(62,plain,
% 16.57/10.55 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.55 inference(unit_resolution,[status(thm)],[61, 7])).
% 16.57/10.55 tff(63,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[62])).
% 16.57/10.55 tff(64,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[21])).
% 16.57/10.55 tff(65,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.55 inference(symmetry,[status(thm)],[64])).
% 16.57/10.55 tff(66,plain,
% 16.57/10.55 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.55 inference(transitivity,[status(thm)],[65, 63, 60, 57])).
% 16.57/10.55 tff(67,plain,
% 16.57/10.55 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.55 inference(monotonicity,[status(thm)],[66])).
% 16.57/10.55 tff(68,plain,
% 16.57/10.55 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.56 inference(transitivity,[status(thm)],[67, 52, 49, 37, 30, 27])).
% 16.57/10.56 tff(69,plain,
% 16.57/10.56 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.56 inference(monotonicity,[status(thm)],[68])).
% 16.57/10.56 tff(70,plain,
% 16.57/10.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.57/10.56 inference(quant_inst,[status(thm)],[])).
% 16.57/10.56 tff(71,plain,
% 16.57/10.56 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.56 inference(unit_resolution,[status(thm)],[70, 7])).
% 16.57/10.56 tff(72,plain,
% 16.57/10.56 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.56 inference(transitivity,[status(thm)],[71, 69])).
% 16.57/10.56 tff(73,plain,
% 16.57/10.56 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.57/10.56 inference(monotonicity,[status(thm)],[72])).
% 16.57/10.56 tff(74,plain,
% 16.57/10.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.57/10.56 inference(quant_inst,[status(thm)],[])).
% 16.57/10.56 tff(75,plain,
% 16.57/10.56 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.57/10.56 inference(unit_resolution,[status(thm)],[74, 7])).
% 16.57/10.56 tff(76,plain,
% 16.57/10.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.57/10.56 inference(quant_inst,[status(thm)],[])).
% 16.57/10.56 tff(77,plain,
% 16.57/10.56 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.56 inference(unit_resolution,[status(thm)],[76, 7])).
% 16.57/10.56 tff(78,plain,
% 16.57/10.57 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.57 inference(symmetry,[status(thm)],[77])).
% 16.57/10.57 tff(79,plain,
% 16.57/10.57 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[46])).
% 16.57/10.57 tff(80,plain,
% 16.57/10.57 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[79])).
% 16.57/10.57 tff(81,plain,
% 16.57/10.57 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(symmetry,[status(thm)],[80])).
% 16.57/10.57 tff(82,plain,
% 16.57/10.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.57 inference(quant_inst,[status(thm)],[])).
% 16.57/10.57 tff(83,plain,
% 16.57/10.57 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(unit_resolution,[status(thm)],[82, 7])).
% 16.57/10.57 tff(84,plain,
% 16.57/10.57 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(symmetry,[status(thm)],[83])).
% 16.57/10.57 tff(85,plain,
% 16.57/10.57 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[66])).
% 16.57/10.57 tff(86,plain,
% 16.57/10.57 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(transitivity,[status(thm)],[85, 84, 81])).
% 16.57/10.57 tff(87,plain,
% 16.57/10.57 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[86])).
% 16.57/10.57 tff(88,plain,
% 16.57/10.57 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.57 inference(symmetry,[status(thm)],[87])).
% 16.57/10.57 tff(89,plain,
% 16.57/10.57 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.57 inference(transitivity,[status(thm)],[88, 78])).
% 16.57/10.57 tff(90,plain,
% 16.57/10.57 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[89])).
% 16.57/10.57 tff(91,plain,
% 16.57/10.57 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[44])).
% 16.57/10.57 tff(92,plain,
% 16.57/10.57 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.57 inference(symmetry,[status(thm)],[91])).
% 16.57/10.57 tff(93,plain,
% 16.57/10.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.57 inference(quant_inst,[status(thm)],[])).
% 16.57/10.57 tff(94,plain,
% 16.57/10.57 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.57 inference(unit_resolution,[status(thm)],[93, 7])).
% 16.57/10.57 tff(95,plain,
% 16.57/10.57 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.57 inference(symmetry,[status(thm)],[94])).
% 16.57/10.57 tff(96,plain,
% 16.57/10.57 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.57 inference(transitivity,[status(thm)],[95, 92])).
% 16.57/10.57 tff(97,plain,
% 16.57/10.57 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[96])).
% 16.57/10.57 tff(98,plain,
% 16.57/10.57 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(monotonicity,[status(thm)],[97])).
% 16.57/10.57 tff(99,plain,
% 16.57/10.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.57 inference(quant_inst,[status(thm)],[])).
% 16.57/10.57 tff(100,plain,
% 16.57/10.57 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.57 inference(unit_resolution,[status(thm)],[99, 7])).
% 16.57/10.57 tff(101,plain,
% 16.57/10.57 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.58 inference(symmetry,[status(thm)],[100])).
% 16.57/10.58 tff(102,plain,
% 16.57/10.58 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.58 inference(monotonicity,[status(thm)],[96])).
% 16.57/10.58 tff(103,plain,
% 16.57/10.58 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.58 inference(symmetry,[status(thm)],[102])).
% 16.57/10.58 tff(104,plain,
% 16.57/10.58 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.58 inference(monotonicity,[status(thm)],[103])).
% 16.57/10.58 tff(105,plain,
% 16.57/10.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.58 inference(quant_inst,[status(thm)],[])).
% 16.57/10.58 tff(106,plain,
% 16.57/10.58 (sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.58 inference(unit_resolution,[status(thm)],[105, 7])).
% 16.57/10.58 tff(107,plain,
% 16.57/10.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))) = sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.58 inference(quant_inst,[status(thm)],[])).
% 16.57/10.58 tff(108,plain,
% 16.57/10.58 (sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))) = sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 16.57/10.58 inference(unit_resolution,[status(thm)],[107, 7])).
% 16.57/10.58 tff(109,plain,
% 16.57/10.58 (sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 16.57/10.58 inference(symmetry,[status(thm)],[108])).
% 16.57/10.58 tff(110,plain,
% 16.57/10.58 (sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.57/10.58 inference(transitivity,[status(thm)],[109, 43])).
% 16.57/10.58 tff(111,plain,
% 16.57/10.58 (sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.58 inference(monotonicity,[status(thm)],[110])).
% 16.57/10.58 tff(112,plain,
% 16.57/10.58 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.58 inference(symmetry,[status(thm)],[111])).
% 16.57/10.58 tff(113,plain,
% 16.57/10.58 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 16.57/10.58 inference(transitivity,[status(thm)],[112, 106])).
% 16.57/10.58 tff(114,plain,
% 16.57/10.58 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.58 inference(monotonicity,[status(thm)],[113])).
% 16.57/10.58 tff(115,plain,
% 16.57/10.58 (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.58 inference(symmetry,[status(thm)],[114])).
% 16.57/10.58 tff(116,plain,
% 16.57/10.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.58 inference(quant_inst,[status(thm)],[])).
% 16.57/10.58 tff(117,plain,
% 16.57/10.58 (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.58 inference(unit_resolution,[status(thm)],[116, 7])).
% 16.57/10.58 tff(118,plain,
% 16.57/10.58 (sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.59 inference(symmetry,[status(thm)],[117])).
% 16.57/10.59 tff(119,plain,
% 16.57/10.59 (sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.59 inference(transitivity,[status(thm)],[118, 115])).
% 16.57/10.59 tff(120,plain,
% 16.57/10.59 (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[119])).
% 16.57/10.59 tff(121,plain,
% 16.57/10.59 (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.59 inference(transitivity,[status(thm)],[120, 104, 101, 98, 85, 84, 81])).
% 16.57/10.59 tff(122,plain,
% 16.57/10.59 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[121])).
% 16.57/10.59 tff(123,plain,
% 16.57/10.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 16.57/10.59 inference(quant_inst,[status(thm)],[])).
% 16.57/10.59 tff(124,plain,
% 16.57/10.59 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.59 inference(unit_resolution,[status(thm)],[123, 7])).
% 16.57/10.59 tff(125,plain,
% 16.57/10.59 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.57/10.59 inference(transitivity,[status(thm)],[114, 117])).
% 16.57/10.59 tff(126,plain,
% 16.57/10.59 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[125])).
% 16.57/10.59 tff(127,plain,
% 16.57/10.59 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[126])).
% 16.57/10.59 tff(128,plain,
% 16.57/10.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))) = sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))),
% 16.57/10.59 inference(quant_inst,[status(thm)],[])).
% 16.57/10.59 tff(129,plain,
% 16.57/10.59 (sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))) = sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))),
% 16.57/10.59 inference(unit_resolution,[status(thm)],[128, 7])).
% 16.57/10.59 tff(130,plain,
% 16.57/10.59 (sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))) = sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))),
% 16.57/10.59 inference(symmetry,[status(thm)],[129])).
% 16.57/10.59 tff(131,plain,
% 16.57/10.59 (sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))) = sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[130])).
% 16.57/10.59 tff(132,plain,
% 16.57/10.59 (sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.57/10.59 inference(transitivity,[status(thm)],[131, 19, 16])).
% 16.57/10.59 tff(133,plain,
% 16.57/10.59 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[132])).
% 16.57/10.59 tff(134,plain,
% 16.57/10.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 16.57/10.59 inference(quant_inst,[status(thm)],[])).
% 16.57/10.59 tff(135,plain,
% 16.57/10.59 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 16.57/10.59 inference(unit_resolution,[status(thm)],[134, 7])).
% 16.57/10.59 tff(136,plain,
% 16.57/10.59 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 16.57/10.59 inference(symmetry,[status(thm)],[135])).
% 16.57/10.59 tff(137,plain,
% 16.57/10.59 (sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[130])).
% 16.57/10.59 tff(138,plain,
% 16.57/10.59 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))),
% 16.57/10.59 inference(symmetry,[status(thm)],[137])).
% 16.57/10.59 tff(139,plain,
% 16.57/10.59 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 16.57/10.59 inference(monotonicity,[status(thm)],[138])).
% 16.57/10.59 tff(140,plain,
% 16.57/10.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.59 inference(quant_inst,[status(thm)],[])).
% 16.57/10.59 tff(141,plain,
% 16.57/10.59 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.57/10.60 inference(unit_resolution,[status(thm)],[140, 7])).
% 16.57/10.60 tff(142,plain,
% 16.57/10.60 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.57/10.60 inference(symmetry,[status(thm)],[141])).
% 16.57/10.60 tff(143,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[142])).
% 16.57/10.60 tff(144,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.57/10.60 inference(transitivity,[status(thm)],[143, 139, 136, 133])).
% 16.57/10.60 tff(145,plain,
% 16.57/10.60 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[144])).
% 16.57/10.60 tff(146,plain,
% 16.57/10.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.60 inference(quant_inst,[status(thm)],[])).
% 16.57/10.60 tff(147,plain,
% 16.57/10.60 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.60 inference(unit_resolution,[status(thm)],[146, 7])).
% 16.57/10.60 tff(148,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.60 inference(symmetry,[status(thm)],[147])).
% 16.57/10.60 tff(149,plain,
% 16.57/10.60 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[142])).
% 16.57/10.60 tff(150,plain,
% 16.57/10.60 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(symmetry,[status(thm)],[149])).
% 16.57/10.60 tff(151,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[150])).
% 16.57/10.60 tff(152,plain,
% 16.57/10.60 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[138])).
% 16.57/10.60 tff(153,plain,
% 16.57/10.60 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(symmetry,[status(thm)],[152])).
% 16.57/10.60 tff(154,plain,
% 16.57/10.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 16.57/10.60 inference(quant_inst,[status(thm)],[])).
% 16.57/10.60 tff(155,plain,
% 16.57/10.60 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(unit_resolution,[status(thm)],[154, 7])).
% 16.57/10.60 tff(156,plain,
% 16.57/10.60 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(symmetry,[status(thm)],[155])).
% 16.57/10.60 tff(157,plain,
% 16.57/10.60 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.57/10.60 inference(transitivity,[status(thm)],[156, 153])).
% 16.57/10.60 tff(158,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[157])).
% 16.57/10.60 tff(159,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.57/10.60 inference(transitivity,[status(thm)],[158, 151, 148, 145])).
% 16.57/10.60 tff(160,plain,
% 16.57/10.60 (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[159])).
% 16.57/10.60 tff(161,plain,
% 16.57/10.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 16.57/10.60 inference(quant_inst,[status(thm)],[])).
% 16.57/10.60 tff(162,plain,
% 16.57/10.60 (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.60 inference(unit_resolution,[status(thm)],[161, 7])).
% 16.57/10.60 tff(163,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.60 inference(symmetry,[status(thm)],[162])).
% 16.57/10.60 tff(164,plain,
% 16.57/10.60 (sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.57/10.60 inference(transitivity,[status(thm)],[163, 160])).
% 16.57/10.60 tff(165,plain,
% 16.57/10.60 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.60 inference(monotonicity,[status(thm)],[164])).
% 16.57/10.60 tff(166,plain,
% 16.57/10.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))))),
% 16.57/10.61 inference(quant_inst,[status(thm)],[])).
% 16.57/10.61 tff(167,plain,
% 16.57/10.61 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 16.57/10.61 inference(unit_resolution,[status(thm)],[166, 7])).
% 16.57/10.61 tff(168,plain,
% 16.57/10.61 (sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 16.57/10.61 inference(symmetry,[status(thm)],[167])).
% 16.57/10.61 tff(169,plain,
% 16.57/10.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 16.57/10.61 inference(quant_inst,[status(thm)],[])).
% 16.57/10.61 tff(170,plain,
% 16.57/10.61 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.61 inference(unit_resolution,[status(thm)],[169, 7])).
% 16.57/10.61 tff(171,plain,
% 16.57/10.61 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.57/10.61 inference(monotonicity,[status(thm)],[157])).
% 16.57/10.61 tff(172,plain,
% 16.57/10.61 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.61 inference(monotonicity,[status(thm)],[171])).
% 16.57/10.61 tff(173,plain,
% 16.57/10.61 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.61 inference(symmetry,[status(thm)],[172])).
% 16.57/10.61 tff(174,plain,
% 16.57/10.61 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.57/10.61 inference(transitivity,[status(thm)],[173, 170])).
% 16.57/10.61 tff(175,plain,
% 16.57/10.61 (sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 16.57/10.61 inference(monotonicity,[status(thm)],[174])).
% 16.57/10.61 tff(176,plain,
% 16.57/10.61 (sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.57/10.61 inference(transitivity,[status(thm)],[175, 168, 165, 127, 124, 122])).
% 16.57/10.61 tff(177,plain,
% 16.57/10.61 (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.62 inference(monotonicity,[status(thm)],[176])).
% 16.67/10.62 tff(178,plain,
% 16.67/10.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.67/10.62 inference(quant_inst,[status(thm)],[])).
% 16.67/10.62 tff(179,plain,
% 16.67/10.62 (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 16.67/10.62 inference(unit_resolution,[status(thm)],[178, 7])).
% 16.67/10.62 tff(180,plain,
% 16.67/10.62 (sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 16.67/10.62 inference(symmetry,[status(thm)],[179])).
% 16.67/10.62 tff(181,plain,
% 16.67/10.62 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.67/10.62 inference(monotonicity,[status(thm)],[150])).
% 16.67/10.62 tff(182,plain,
% 16.67/10.62 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.67/10.62 inference(symmetry,[status(thm)],[181])).
% 16.67/10.62 tff(183,plain,
% 16.67/10.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.62 inference(quant_inst,[status(thm)],[])).
% 16.67/10.62 tff(184,plain,
% 16.67/10.62 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.67/10.62 inference(unit_resolution,[status(thm)],[183, 7])).
% 16.67/10.62 tff(185,plain,
% 16.67/10.62 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.67/10.62 inference(symmetry,[status(thm)],[184])).
% 16.67/10.62 tff(186,plain,
% 16.67/10.62 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.67/10.62 inference(transitivity,[status(thm)],[185, 182])).
% 16.67/10.62 tff(187,plain,
% 16.67/10.62 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.62 inference(monotonicity,[status(thm)],[186])).
% 16.67/10.62 tff(188,plain,
% 16.67/10.62 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.62 inference(symmetry,[status(thm)],[187])).
% 16.67/10.62 tff(189,plain,
% 16.67/10.62 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.67/10.62 inference(monotonicity,[status(thm)],[188])).
% 16.67/10.62 tff(190,plain,
% 16.67/10.62 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.67/10.62 inference(symmetry,[status(thm)],[189])).
% 16.67/10.62 tff(191,plain,
% 16.67/10.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 16.67/10.62 inference(quant_inst,[status(thm)],[])).
% 16.67/10.62 tff(192,plain,
% 16.67/10.62 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.67/10.62 inference(unit_resolution,[status(thm)],[191, 7])).
% 16.67/10.62 tff(193,plain,
% 16.67/10.62 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.67/10.62 inference(monotonicity,[status(thm)],[157])).
% 16.67/10.62 tff(194,plain,
% 16.67/10.62 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 16.67/10.62 inference(symmetry,[status(thm)],[193])).
% 16.67/10.62 tff(195,plain,
% 16.67/10.62 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.62 inference(monotonicity,[status(thm)],[194])).
% 16.67/10.62 tff(196,plain,
% 16.67/10.62 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.62 inference(symmetry,[status(thm)],[195])).
% 16.67/10.62 tff(197,plain,
% 16.67/10.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 16.67/10.62 inference(quant_inst,[status(thm)],[])).
% 16.67/10.62 tff(198,plain,
% 16.67/10.62 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.62 inference(unit_resolution,[status(thm)],[197, 7])).
% 16.67/10.62 tff(199,plain,
% 16.67/10.62 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.63 inference(symmetry,[status(thm)],[198])).
% 16.67/10.63 tff(200,plain,
% 16.67/10.63 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 16.67/10.63 inference(symmetry,[status(thm)],[171])).
% 16.67/10.63 tff(201,plain,
% 16.67/10.63 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.63 inference(monotonicity,[status(thm)],[200])).
% 16.67/10.63 tff(202,plain,
% 16.67/10.63 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.63 inference(monotonicity,[status(thm)],[186])).
% 16.67/10.63 tff(203,plain,
% 16.67/10.63 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.67/10.63 inference(transitivity,[status(thm)],[202, 201, 199, 196])).
% 16.67/10.63 tff(204,plain,
% 16.67/10.63 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.67/10.63 inference(monotonicity,[status(thm)],[203])).
% 16.67/10.63 tff(205,plain,
% 16.67/10.63 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.67/10.63 inference(symmetry,[status(thm)],[204])).
% 16.67/10.63 tff(206,plain,
% 16.67/10.63 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.67/10.63 inference(transitivity,[status(thm)],[205, 192, 190])).
% 16.67/10.63 tff(207,plain,
% 16.67/10.63 (sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 16.67/10.63 inference(monotonicity,[status(thm)],[206])).
% 16.67/10.63 tff(208,plain,
% 16.67/10.63 (sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.63 inference(transitivity,[status(thm)],[207, 180, 177, 90, 75, 73])).
% 16.67/10.63 tff(209,plain,
% 16.67/10.63 (sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.63 inference(monotonicity,[status(thm)],[208])).
% 16.67/10.63 tff(210,plain,
% 16.67/10.63 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.67/10.63 inference(symmetry,[status(thm)],[209])).
% 16.67/10.63 tff(211,plain,
% 16.67/10.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.63 inference(quant_inst,[status(thm)],[])).
% 16.67/10.63 tff(212,plain,
% 16.67/10.64 (sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.67/10.64 inference(unit_resolution,[status(thm)],[211, 7])).
% 16.67/10.64 tff(213,plain,
% 16.67/10.64 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.67/10.64 inference(monotonicity,[status(thm)],[113])).
% 16.67/10.64 tff(214,plain,
% 16.67/10.64 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 16.67/10.64 inference(transitivity,[status(thm)],[213, 212])).
% 16.67/10.64 tff(215,plain,
% 16.67/10.64 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.64 inference(monotonicity,[status(thm)],[214])).
% 16.67/10.64 tff(216,plain,
% 16.67/10.64 (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.64 inference(symmetry,[status(thm)],[215])).
% 16.67/10.64 tff(217,plain,
% 16.67/10.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.64 inference(quant_inst,[status(thm)],[])).
% 16.67/10.64 tff(218,plain,
% 16.67/10.64 (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.64 inference(unit_resolution,[status(thm)],[217, 7])).
% 16.67/10.64 tff(219,plain,
% 16.67/10.64 (sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.64 inference(symmetry,[status(thm)],[218])).
% 16.67/10.64 tff(220,plain,
% 16.67/10.64 (sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.64 inference(transitivity,[status(thm)],[219, 216])).
% 16.67/10.64 tff(221,plain,
% 16.67/10.64 (sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.64 inference(monotonicity,[status(thm)],[220])).
% 16.67/10.64 tff(222,plain,
% 16.67/10.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.64 inference(quant_inst,[status(thm)],[])).
% 16.67/10.64 tff(223,plain,
% 16.67/10.64 (sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.64 inference(unit_resolution,[status(thm)],[222, 7])).
% 16.67/10.64 tff(224,plain,
% 16.67/10.64 (sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.64 inference(symmetry,[status(thm)],[223])).
% 16.67/10.64 tff(225,plain,
% 16.67/10.64 (sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.64 inference(transitivity,[status(thm)],[224, 221])).
% 16.67/10.64 tff(226,plain,
% 16.67/10.64 (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.64 inference(monotonicity,[status(thm)],[225])).
% 16.67/10.64 tff(227,plain,
% 16.67/10.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.64 inference(quant_inst,[status(thm)],[])).
% 16.67/10.64 tff(228,plain,
% 16.67/10.64 (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.64 inference(unit_resolution,[status(thm)],[227, 7])).
% 16.67/10.64 tff(229,plain,
% 16.67/10.64 (sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.64 inference(symmetry,[status(thm)],[228])).
% 16.67/10.64 tff(230,plain,
% 16.67/10.64 (sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.65 inference(transitivity,[status(thm)],[229, 226])).
% 16.67/10.65 tff(231,plain,
% 16.67/10.65 (sep(lseg(x10, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.65 inference(monotonicity,[status(thm)],[230])).
% 16.67/10.65 tff(232,plain,
% 16.67/10.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.65 inference(quant_inst,[status(thm)],[])).
% 16.67/10.65 tff(233,plain,
% 16.67/10.65 (sep(lseg(x10, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.65 inference(unit_resolution,[status(thm)],[232, 7])).
% 16.67/10.65 tff(234,plain,
% 16.67/10.65 (sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.65 inference(symmetry,[status(thm)],[233])).
% 16.67/10.65 tff(235,plain,
% 16.67/10.65 (sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.67/10.65 inference(transitivity,[status(thm)],[234, 231, 210, 9])).
% 16.67/10.65 tff(236,plain,
% 16.67/10.65 (sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))),
% 16.67/10.65 inference(monotonicity,[status(thm)],[235])).
% 16.67/10.65 tff(237,plain,
% 16.67/10.65 (heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))) <=> heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.67/10.65 inference(monotonicity,[status(thm)],[236])).
% 16.67/10.65 tff(238,plain,
% 16.67/10.65 (heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) <=> heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))),
% 16.67/10.65 inference(symmetry,[status(thm)],[237])).
% 16.67/10.65 tff(239,plain,
% 16.67/10.65 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.67/10.65 inference(transitivity,[status(thm)],[210, 9])).
% 16.67/10.65 tff(240,assumption,(~heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))), introduced(assumption)).
% 16.67/10.65 tff(241,plain,
% 16.67/10.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.67/10.65 inference(quant_inst,[status(thm)],[])).
% 16.67/10.65 tff(242,plain,
% 16.67/10.65 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.65 inference(unit_resolution,[status(thm)],[241, 7])).
% 16.67/10.65 tff(243,plain,
% 16.67/10.65 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.65 inference(symmetry,[status(thm)],[242])).
% 16.67/10.65 tff(244,plain,
% 16.67/10.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.65 inference(quant_inst,[status(thm)],[])).
% 16.67/10.65 tff(245,plain,
% 16.67/10.65 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.65 inference(unit_resolution,[status(thm)],[244, 7])).
% 16.67/10.65 tff(246,plain,
% 16.67/10.65 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.65 inference(symmetry,[status(thm)],[245])).
% 16.67/10.65 tff(247,plain,
% 16.67/10.65 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.66 inference(monotonicity,[status(thm)],[246])).
% 16.67/10.66 tff(248,plain,
% 16.67/10.66 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.66 inference(monotonicity,[status(thm)],[247])).
% 16.67/10.66 tff(249,plain,
% 16.67/10.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.66 inference(quant_inst,[status(thm)],[])).
% 16.67/10.66 tff(250,plain,
% 16.67/10.66 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.66 inference(unit_resolution,[status(thm)],[249, 7])).
% 16.67/10.66 tff(251,plain,
% 16.67/10.66 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.66 inference(symmetry,[status(thm)],[250])).
% 16.67/10.66 tff(252,plain,
% 16.67/10.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.66 inference(quant_inst,[status(thm)],[])).
% 16.67/10.66 tff(253,plain,
% 16.67/10.66 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.67/10.66 inference(unit_resolution,[status(thm)],[252, 7])).
% 16.67/10.66 tff(254,plain,
% 16.67/10.66 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.66 inference(monotonicity,[status(thm)],[253])).
% 16.67/10.66 tff(255,plain,
% 16.67/10.66 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.66 inference(symmetry,[status(thm)],[254])).
% 16.67/10.66 tff(256,plain,
% 16.67/10.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.66 inference(quant_inst,[status(thm)],[])).
% 16.67/10.67 tff(257,plain,
% 16.67/10.67 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(unit_resolution,[status(thm)],[256, 7])).
% 16.67/10.67 tff(258,plain,
% 16.67/10.67 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(symmetry,[status(thm)],[257])).
% 16.67/10.67 tff(259,plain,
% 16.67/10.67 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(transitivity,[status(thm)],[258, 255])).
% 16.67/10.67 tff(260,plain,
% 16.67/10.67 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.67 inference(monotonicity,[status(thm)],[259])).
% 16.67/10.67 tff(261,plain,
% 16.67/10.67 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.67 inference(monotonicity,[status(thm)],[260])).
% 16.67/10.67 tff(262,plain,
% 16.67/10.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.67 inference(quant_inst,[status(thm)],[])).
% 16.67/10.67 tff(263,plain,
% 16.67/10.67 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.67 inference(unit_resolution,[status(thm)],[262, 7])).
% 16.67/10.67 tff(264,plain,
% 16.67/10.67 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.67 inference(symmetry,[status(thm)],[263])).
% 16.67/10.67 tff(265,plain,
% 16.67/10.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.67 inference(quant_inst,[status(thm)],[])).
% 16.67/10.67 tff(266,plain,
% 16.67/10.67 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(unit_resolution,[status(thm)],[265, 7])).
% 16.67/10.67 tff(267,plain,
% 16.67/10.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.67/10.67 inference(quant_inst,[status(thm)],[])).
% 16.67/10.67 tff(268,plain,
% 16.67/10.67 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.67/10.67 inference(unit_resolution,[status(thm)],[267, 7])).
% 16.67/10.67 tff(269,plain,
% 16.67/10.67 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.67/10.67 inference(symmetry,[status(thm)],[268])).
% 16.67/10.67 tff(270,plain,
% 16.67/10.67 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.67/10.67 inference(monotonicity,[status(thm)],[269])).
% 16.67/10.67 tff(271,plain,
% 16.67/10.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(quant_inst,[status(thm)],[])).
% 16.67/10.67 tff(272,plain,
% 16.67/10.67 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.67/10.67 inference(unit_resolution,[status(thm)],[271, 7])).
% 16.67/10.67 tff(273,plain,
% 16.67/10.67 (sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.67/10.67 inference(symmetry,[status(thm)],[272])).
% 16.67/10.67 tff(274,plain,
% 16.67/10.67 (sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.67/10.67 inference(transitivity,[status(thm)],[273, 270])).
% 16.67/10.67 tff(275,plain,
% 16.67/10.67 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(monotonicity,[status(thm)],[274])).
% 16.67/10.67 tff(276,plain,
% 16.67/10.67 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(symmetry,[status(thm)],[275])).
% 16.67/10.67 tff(277,plain,
% 16.67/10.67 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.67/10.67 inference(transitivity,[status(thm)],[258, 255, 276, 266])).
% 16.67/10.67 tff(278,plain,
% 16.67/10.67 (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.68 inference(monotonicity,[status(thm)],[277])).
% 16.67/10.68 tff(279,plain,
% 16.67/10.68 (sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.68 inference(symmetry,[status(thm)],[278])).
% 16.67/10.68 tff(280,plain,
% 16.67/10.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.68 inference(quant_inst,[status(thm)],[])).
% 16.67/10.68 tff(281,plain,
% 16.67/10.68 (sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.68 inference(unit_resolution,[status(thm)],[280, 7])).
% 16.67/10.68 tff(282,plain,
% 16.67/10.68 (sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.68 inference(symmetry,[status(thm)],[281])).
% 16.67/10.68 tff(283,plain,
% 16.67/10.68 (sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.67/10.68 inference(transitivity,[status(thm)],[282, 279])).
% 16.67/10.68 tff(284,plain,
% 16.67/10.68 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.68 inference(monotonicity,[status(thm)],[283])).
% 16.67/10.68 tff(285,plain,
% 16.67/10.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.68 inference(quant_inst,[status(thm)],[])).
% 16.67/10.68 tff(286,plain,
% 16.67/10.68 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.68 inference(unit_resolution,[status(thm)],[285, 7])).
% 16.67/10.68 tff(287,plain,
% 16.67/10.68 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.68 inference(symmetry,[status(thm)],[286])).
% 16.67/10.68 tff(288,plain,
% 16.67/10.68 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.67/10.69 inference(transitivity,[status(thm)],[287, 284, 264, 261])).
% 16.67/10.69 tff(289,plain,
% 16.67/10.69 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.69 inference(monotonicity,[status(thm)],[288])).
% 16.67/10.69 tff(290,plain,
% 16.67/10.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.69 inference(quant_inst,[status(thm)],[])).
% 16.67/10.69 tff(291,plain,
% 16.67/10.69 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.69 inference(unit_resolution,[status(thm)],[290, 7])).
% 16.67/10.69 tff(292,plain,
% 16.67/10.69 (sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.69 inference(symmetry,[status(thm)],[291])).
% 16.67/10.69 tff(293,plain,
% 16.67/10.69 (sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.67/10.69 inference(transitivity,[status(thm)],[292, 289, 251, 248])).
% 16.67/10.69 tff(294,plain,
% 16.67/10.69 (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.69 inference(monotonicity,[status(thm)],[293])).
% 16.67/10.69 tff(295,plain,
% 16.67/10.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.67/10.69 inference(quant_inst,[status(thm)],[])).
% 16.67/10.69 tff(296,plain,
% 16.67/10.69 (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.69 inference(unit_resolution,[status(thm)],[295, 7])).
% 16.67/10.69 tff(297,plain,
% 16.67/10.69 (sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.69 inference(symmetry,[status(thm)],[296])).
% 16.67/10.69 tff(298,plain,
% 16.67/10.69 (sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.67/10.69 inference(transitivity,[status(thm)],[297, 294, 243])).
% 16.67/10.69 tff(299,plain,
% 16.67/10.69 (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.67/10.69 inference(monotonicity,[status(thm)],[298])).
% 16.67/10.69 tff(300,plain,
% 16.67/10.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.67/10.69 inference(quant_inst,[status(thm)],[])).
% 16.67/10.69 tff(301,plain,
% 16.67/10.69 (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.67/10.69 inference(unit_resolution,[status(thm)],[300, 7])).
% 16.67/10.69 tff(302,plain,
% 16.67/10.69 (sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.67/10.69 inference(symmetry,[status(thm)],[301])).
% 16.67/10.69 tff(303,plain,
% 16.67/10.69 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.70 inference(quant_inst,[status(thm)],[])).
% 16.75/10.70 tff(304,plain,
% 16.75/10.70 (sep(lseg(x10, x8), sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.70 inference(unit_resolution,[status(thm)],[303, 7])).
% 16.75/10.70 tff(305,plain,
% 16.75/10.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.70 inference(quant_inst,[status(thm)],[])).
% 16.75/10.70 tff(306,plain,
% 16.75/10.70 (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.70 inference(unit_resolution,[status(thm)],[305, 7])).
% 16.75/10.70 tff(307,plain,
% 16.75/10.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))) = sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))),
% 16.75/10.70 inference(quant_inst,[status(thm)],[])).
% 16.75/10.70 tff(308,plain,
% 16.75/10.70 (sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))) = sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))),
% 16.75/10.70 inference(unit_resolution,[status(thm)],[307, 7])).
% 16.75/10.70 tff(309,plain,
% 16.75/10.70 (sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))),
% 16.75/10.70 inference(monotonicity,[status(thm)],[308])).
% 16.75/10.70 tff(310,plain,
% 16.75/10.70 (sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.75/10.70 inference(symmetry,[status(thm)],[309])).
% 16.75/10.70 tff(311,plain,
% 16.75/10.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))) = sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.70 inference(quant_inst,[status(thm)],[])).
% 16.75/10.70 tff(312,plain,
% 16.75/10.70 (sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))) = sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))),
% 16.75/10.70 inference(unit_resolution,[status(thm)],[311, 7])).
% 16.75/10.70 tff(313,plain,
% 16.75/10.70 (sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))),
% 16.75/10.70 inference(symmetry,[status(thm)],[312])).
% 16.75/10.70 tff(314,plain,
% 16.75/10.70 (sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.75/10.70 inference(transitivity,[status(thm)],[313, 310])).
% 16.75/10.70 tff(315,plain,
% 16.75/10.70 (sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.75/10.70 inference(monotonicity,[status(thm)],[314])).
% 16.75/10.70 tff(316,plain,
% 16.75/10.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.70 inference(quant_inst,[status(thm)],[])).
% 16.75/10.70 tff(317,plain,
% 16.75/10.70 (sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.70 inference(unit_resolution,[status(thm)],[316, 7])).
% 16.75/10.70 tff(318,plain,
% 16.75/10.70 (sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.70 inference(symmetry,[status(thm)],[317])).
% 16.75/10.70 tff(319,plain,
% 16.75/10.70 (sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.75/10.70 inference(transitivity,[status(thm)],[318, 315])).
% 16.75/10.70 tff(320,plain,
% 16.75/10.70 (sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.75/10.70 inference(monotonicity,[status(thm)],[319])).
% 16.75/10.70 tff(321,plain,
% 16.75/10.70 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.71 inference(symmetry,[status(thm)],[320])).
% 16.75/10.71 tff(322,plain,
% 16.75/10.71 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.71 inference(transitivity,[status(thm)],[321, 306])).
% 16.75/10.71 tff(323,plain,
% 16.75/10.71 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x11, x7), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.71 inference(monotonicity,[status(thm)],[322])).
% 16.75/10.71 tff(324,plain,
% 16.75/10.71 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.71 inference(transitivity,[status(thm)],[323, 304])).
% 16.75/10.71 tff(325,plain,
% 16.75/10.71 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.71 inference(monotonicity,[status(thm)],[324])).
% 16.75/10.71 tff(326,plain,
% 16.75/10.71 (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.71 inference(symmetry,[status(thm)],[325])).
% 16.75/10.71 tff(327,plain,
% 16.75/10.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.71 inference(quant_inst,[status(thm)],[])).
% 16.75/10.71 tff(328,plain,
% 16.75/10.71 (sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.71 inference(unit_resolution,[status(thm)],[327, 7])).
% 16.75/10.71 tff(329,plain,
% 16.75/10.71 (sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.71 inference(symmetry,[status(thm)],[328])).
% 16.75/10.71 tff(330,plain,
% 16.75/10.71 (sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.71 inference(transitivity,[status(thm)],[329, 326])).
% 16.75/10.71 tff(331,plain,
% 16.75/10.71 (sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.71 inference(monotonicity,[status(thm)],[330])).
% 16.75/10.71 tff(332,plain,
% 16.75/10.71 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.71 inference(symmetry,[status(thm)],[331])).
% 16.75/10.71 tff(333,plain,
% 16.75/10.71 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.71 inference(monotonicity,[status(thm)],[325])).
% 16.75/10.71 tff(334,plain,
% 16.75/10.71 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.71 inference(symmetry,[status(thm)],[333])).
% 16.75/10.71 tff(335,plain,
% 16.75/10.71 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.71 inference(quant_inst,[status(thm)],[])).
% 16.75/10.71 tff(336,plain,
% 16.75/10.71 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.71 inference(unit_resolution,[status(thm)],[335, 7])).
% 16.75/10.71 tff(337,plain,
% 16.75/10.71 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.71 inference(symmetry,[status(thm)],[336])).
% 16.75/10.71 tff(338,plain,
% 16.75/10.71 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.72 inference(monotonicity,[status(thm)],[324])).
% 16.75/10.72 tff(339,plain,
% 16.75/10.72 (sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.72 inference(symmetry,[status(thm)],[338])).
% 16.75/10.72 tff(340,plain,
% 16.75/10.72 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.72 inference(monotonicity,[status(thm)],[339])).
% 16.75/10.72 tff(341,plain,
% 16.75/10.72 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.72 inference(symmetry,[status(thm)],[340])).
% 16.75/10.72 tff(342,plain,
% 16.75/10.72 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.72 inference(transitivity,[status(thm)],[341, 337, 334, 332])).
% 16.75/10.72 tff(343,plain,
% 16.75/10.72 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.72 inference(monotonicity,[status(thm)],[342])).
% 16.75/10.72 tff(344,plain,
% 16.75/10.72 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.72 inference(symmetry,[status(thm)],[343])).
% 16.75/10.72 tff(345,plain,
% 16.75/10.72 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))))),
% 16.75/10.72 inference(quant_inst,[status(thm)],[])).
% 16.75/10.72 tff(346,plain,
% 16.75/10.72 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.72 inference(unit_resolution,[status(thm)],[345, 7])).
% 16.75/10.72 tff(347,plain,
% 16.75/10.72 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.72 inference(quant_inst,[status(thm)],[])).
% 16.75/10.72 tff(348,plain,
% 16.75/10.72 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.72 inference(unit_resolution,[status(thm)],[347, 7])).
% 16.75/10.72 tff(349,plain,
% 16.75/10.72 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.72 inference(symmetry,[status(thm)],[315])).
% 16.75/10.72 tff(350,plain,
% 16.75/10.72 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.72 inference(monotonicity,[status(thm)],[349])).
% 16.75/10.72 tff(351,plain,
% 16.75/10.72 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.72 inference(transitivity,[status(thm)],[350, 348])).
% 16.75/10.72 tff(352,plain,
% 16.75/10.72 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.72 inference(monotonicity,[status(thm)],[351])).
% 16.75/10.72 tff(353,plain,
% 16.75/10.72 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.72 inference(symmetry,[status(thm)],[352])).
% 16.75/10.72 tff(354,plain,
% 16.75/10.72 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.72 inference(quant_inst,[status(thm)],[])).
% 16.75/10.72 tff(355,plain,
% 16.75/10.72 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.72 inference(unit_resolution,[status(thm)],[354, 7])).
% 16.75/10.72 tff(356,plain,
% 16.75/10.72 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.72 inference(symmetry,[status(thm)],[355])).
% 16.75/10.72 tff(357,plain,
% 16.75/10.72 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.72 inference(transitivity,[status(thm)],[356, 353])).
% 16.75/10.72 tff(358,plain,
% 16.75/10.72 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.72 inference(monotonicity,[status(thm)],[357])).
% 16.75/10.72 tff(359,plain,
% 16.75/10.72 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.73 inference(monotonicity,[status(thm)],[358])).
% 16.75/10.73 tff(360,plain,
% 16.75/10.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.73 inference(quant_inst,[status(thm)],[])).
% 16.75/10.73 tff(361,plain,
% 16.75/10.73 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.73 inference(unit_resolution,[status(thm)],[360, 7])).
% 16.75/10.73 tff(362,plain,
% 16.75/10.73 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.73 inference(symmetry,[status(thm)],[361])).
% 16.75/10.73 tff(363,plain,
% 16.75/10.73 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.73 inference(monotonicity,[status(thm)],[357])).
% 16.75/10.73 tff(364,plain,
% 16.75/10.73 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.73 inference(symmetry,[status(thm)],[363])).
% 16.75/10.73 tff(365,plain,
% 16.75/10.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.73 inference(quant_inst,[status(thm)],[])).
% 16.75/10.73 tff(366,plain,
% 16.75/10.73 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.73 inference(unit_resolution,[status(thm)],[365, 7])).
% 16.75/10.73 tff(367,plain,
% 16.75/10.73 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.73 inference(monotonicity,[status(thm)],[309])).
% 16.75/10.73 tff(368,plain,
% 16.75/10.73 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.75/10.73 inference(symmetry,[status(thm)],[367])).
% 16.75/10.73 tff(369,plain,
% 16.75/10.73 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.74 inference(quant_inst,[status(thm)],[])).
% 16.75/10.74 tff(370,plain,
% 16.75/10.74 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.74 inference(unit_resolution,[status(thm)],[369, 7])).
% 16.75/10.74 tff(371,plain,
% 16.75/10.74 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.74 inference(symmetry,[status(thm)],[370])).
% 16.75/10.74 tff(372,plain,
% 16.75/10.74 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.75/10.74 inference(transitivity,[status(thm)],[371, 368])).
% 16.75/10.74 tff(373,plain,
% 16.75/10.74 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.75/10.74 inference(monotonicity,[status(thm)],[372])).
% 16.75/10.74 tff(374,plain,
% 16.75/10.74 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.74 inference(monotonicity,[status(thm)],[373])).
% 16.75/10.74 tff(375,plain,
% 16.75/10.74 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.74 inference(symmetry,[status(thm)],[374])).
% 16.75/10.74 tff(376,plain,
% 16.75/10.74 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.74 inference(transitivity,[status(thm)],[375, 366])).
% 16.75/10.74 tff(377,plain,
% 16.75/10.74 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.74 inference(monotonicity,[status(thm)],[376])).
% 16.75/10.74 tff(378,plain,
% 16.75/10.74 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.74 inference(symmetry,[status(thm)],[377])).
% 16.75/10.74 tff(379,plain,
% 16.75/10.74 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.74 inference(quant_inst,[status(thm)],[])).
% 16.75/10.74 tff(380,plain,
% 16.75/10.74 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.74 inference(unit_resolution,[status(thm)],[379, 7])).
% 16.75/10.74 tff(381,plain,
% 16.75/10.74 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.75/10.74 inference(monotonicity,[status(thm)],[372])).
% 16.75/10.74 tff(382,plain,
% 16.75/10.74 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.74 inference(monotonicity,[status(thm)],[381])).
% 16.75/10.74 tff(383,plain,
% 16.75/10.74 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.74 inference(quant_inst,[status(thm)],[])).
% 16.75/10.74 tff(384,plain,
% 16.75/10.74 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.74 inference(unit_resolution,[status(thm)],[383, 7])).
% 16.75/10.74 tff(385,plain,
% 16.75/10.74 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.74 inference(symmetry,[status(thm)],[384])).
% 16.75/10.74 tff(386,plain,
% 16.75/10.74 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.74 inference(transitivity,[status(thm)],[385, 382])).
% 16.75/10.74 tff(387,plain,
% 16.75/10.74 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.74 inference(monotonicity,[status(thm)],[386])).
% 16.75/10.74 tff(388,plain,
% 16.75/10.74 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.74 inference(symmetry,[status(thm)],[387])).
% 16.75/10.74 tff(389,plain,
% 16.75/10.74 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.74 inference(transitivity,[status(thm)],[388, 380, 378, 364])).
% 16.75/10.74 tff(390,plain,
% 16.75/10.74 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.74 inference(monotonicity,[status(thm)],[389])).
% 16.75/10.74 tff(391,plain,
% 16.75/10.74 (sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.75 inference(monotonicity,[status(thm)],[330])).
% 16.75/10.75 tff(392,plain,
% 16.75/10.75 (sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.75 inference(transitivity,[status(thm)],[391, 390, 362, 359])).
% 16.75/10.75 tff(393,plain,
% 16.75/10.75 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.75 inference(monotonicity,[status(thm)],[392])).
% 16.75/10.75 tff(394,plain,
% 16.75/10.75 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.75 inference(symmetry,[status(thm)],[393])).
% 16.75/10.75 tff(395,plain,
% 16.75/10.75 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.75 inference(transitivity,[status(thm)],[394, 346, 344])).
% 16.75/10.75 tff(396,plain,
% 16.75/10.75 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.75/10.75 inference(monotonicity,[status(thm)],[395])).
% 16.75/10.75 tff(397,plain,
% 16.75/10.75 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.75 inference(symmetry,[status(thm)],[346])).
% 16.75/10.75 tff(398,plain,
% 16.75/10.75 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.75 inference(symmetry,[status(thm)],[380])).
% 16.75/10.75 tff(399,plain,
% 16.75/10.75 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.75 inference(monotonicity,[status(thm)],[353])).
% 16.75/10.75 tff(400,plain,
% 16.75/10.75 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.76 inference(quant_inst,[status(thm)],[])).
% 16.75/10.76 tff(401,plain,
% 16.75/10.76 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.76 inference(unit_resolution,[status(thm)],[400, 7])).
% 16.75/10.76 tff(402,plain,
% 16.75/10.76 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[401])).
% 16.75/10.76 tff(403,plain,
% 16.75/10.76 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[350])).
% 16.75/10.76 tff(404,plain,
% 16.75/10.76 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[348])).
% 16.75/10.76 tff(405,plain,
% 16.75/10.76 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.75/10.76 inference(transitivity,[status(thm)],[404, 403])).
% 16.75/10.76 tff(406,plain,
% 16.75/10.76 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(monotonicity,[status(thm)],[405])).
% 16.75/10.76 tff(407,plain,
% 16.75/10.76 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[406])).
% 16.75/10.76 tff(408,plain,
% 16.75/10.76 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[373])).
% 16.75/10.76 tff(409,plain,
% 16.75/10.76 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(monotonicity,[status(thm)],[408])).
% 16.75/10.76 tff(410,plain,
% 16.75/10.76 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[409])).
% 16.75/10.76 tff(411,plain,
% 16.75/10.76 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.76 inference(quant_inst,[status(thm)],[])).
% 16.75/10.76 tff(412,plain,
% 16.75/10.76 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(unit_resolution,[status(thm)],[411, 7])).
% 16.75/10.76 tff(413,plain,
% 16.75/10.76 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[412])).
% 16.75/10.76 tff(414,plain,
% 16.75/10.76 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(monotonicity,[status(thm)],[381])).
% 16.75/10.76 tff(415,plain,
% 16.75/10.76 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[414])).
% 16.75/10.76 tff(416,plain,
% 16.75/10.76 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(transitivity,[status(thm)],[415, 413, 410, 407])).
% 16.75/10.76 tff(417,plain,
% 16.75/10.76 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.76 inference(monotonicity,[status(thm)],[416])).
% 16.75/10.76 tff(418,plain,
% 16.75/10.76 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.76 inference(quant_inst,[status(thm)],[])).
% 16.75/10.76 tff(419,plain,
% 16.75/10.76 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(unit_resolution,[status(thm)],[418, 7])).
% 16.75/10.76 tff(420,plain,
% 16.75/10.76 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(symmetry,[status(thm)],[419])).
% 16.75/10.76 tff(421,plain,
% 16.75/10.76 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.76 inference(transitivity,[status(thm)],[420, 406, 409, 412, 414])).
% 16.75/10.76 tff(422,plain,
% 16.75/10.76 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.77 inference(monotonicity,[status(thm)],[421])).
% 16.75/10.77 tff(423,plain,
% 16.75/10.77 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.77 inference(quant_inst,[status(thm)],[])).
% 16.75/10.77 tff(424,plain,
% 16.75/10.77 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.77 inference(unit_resolution,[status(thm)],[423, 7])).
% 16.75/10.77 tff(425,plain,
% 16.75/10.77 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.77 inference(symmetry,[status(thm)],[424])).
% 16.75/10.77 tff(426,plain,
% 16.75/10.77 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.77 inference(quant_inst,[status(thm)],[])).
% 16.75/10.77 tff(427,plain,
% 16.75/10.77 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.77 inference(unit_resolution,[status(thm)],[426, 7])).
% 16.75/10.77 tff(428,plain,
% 16.75/10.77 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.75/10.77 inference(symmetry,[status(thm)],[427])).
% 16.75/10.77 tff(429,plain,
% 16.75/10.77 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.77 inference(monotonicity,[status(thm)],[428])).
% 16.75/10.77 tff(430,plain,
% 16.75/10.77 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.75/10.77 inference(symmetry,[status(thm)],[429])).
% 16.75/10.77 tff(431,plain,
% 16.75/10.77 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.77 inference(monotonicity,[status(thm)],[430])).
% 16.75/10.77 tff(432,plain,
% 16.75/10.77 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.77 inference(transitivity,[status(thm)],[431, 425, 422, 417, 402, 399, 377, 398, 387])).
% 16.75/10.78 tff(433,plain,
% 16.75/10.78 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.78 inference(monotonicity,[status(thm)],[432])).
% 16.75/10.78 tff(434,plain,
% 16.75/10.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.75/10.78 inference(quant_inst,[status(thm)],[])).
% 16.75/10.78 tff(435,plain,
% 16.75/10.78 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.78 inference(unit_resolution,[status(thm)],[434, 7])).
% 16.75/10.78 tff(436,plain,
% 16.75/10.78 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.78 inference(symmetry,[status(thm)],[435])).
% 16.75/10.78 tff(437,plain,
% 16.75/10.78 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.78 inference(monotonicity,[status(thm)],[430])).
% 16.75/10.78 tff(438,plain,
% 16.75/10.78 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.78 inference(symmetry,[status(thm)],[437])).
% 16.75/10.78 tff(439,plain,
% 16.75/10.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.75/10.78 inference(quant_inst,[status(thm)],[])).
% 16.75/10.78 tff(440,plain,
% 16.75/10.78 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.75/10.78 inference(unit_resolution,[status(thm)],[439, 7])).
% 16.75/10.78 tff(441,plain,
% 16.75/10.78 (sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.75/10.78 inference(monotonicity,[status(thm)],[314])).
% 16.75/10.78 tff(442,plain,
% 16.75/10.78 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.75/10.78 inference(symmetry,[status(thm)],[441])).
% 16.75/10.78 tff(443,plain,
% 16.75/10.78 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.78 inference(monotonicity,[status(thm)],[442])).
% 16.83/10.78 tff(444,plain,
% 16.83/10.78 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.83/10.78 inference(symmetry,[status(thm)],[443])).
% 16.83/10.78 tff(445,plain,
% 16.83/10.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.78 inference(quant_inst,[status(thm)],[])).
% 16.83/10.78 tff(446,plain,
% 16.83/10.78 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.78 inference(unit_resolution,[status(thm)],[445, 7])).
% 16.83/10.78 tff(447,plain,
% 16.83/10.78 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.78 inference(symmetry,[status(thm)],[446])).
% 16.83/10.78 tff(448,plain,
% 16.83/10.78 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.83/10.78 inference(transitivity,[status(thm)],[447, 444])).
% 16.83/10.78 tff(449,plain,
% 16.83/10.78 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.78 inference(monotonicity,[status(thm)],[448])).
% 16.83/10.78 tff(450,plain,
% 16.83/10.78 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.78 inference(quant_inst,[status(thm)],[])).
% 16.83/10.78 tff(451,plain,
% 16.83/10.78 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.78 inference(unit_resolution,[status(thm)],[450, 7])).
% 16.83/10.78 tff(452,plain,
% 16.83/10.78 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.78 inference(symmetry,[status(thm)],[451])).
% 16.83/10.78 tff(453,plain,
% 16.83/10.78 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.78 inference(transitivity,[status(thm)],[452, 449])).
% 16.83/10.78 tff(454,plain,
% 16.83/10.78 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[453])).
% 16.83/10.79 tff(455,plain,
% 16.83/10.79 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(symmetry,[status(thm)],[454])).
% 16.83/10.79 tff(456,plain,
% 16.83/10.79 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.79 inference(symmetry,[status(thm)],[449])).
% 16.83/10.79 tff(457,plain,
% 16.83/10.79 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[456])).
% 16.83/10.79 tff(458,plain,
% 16.83/10.79 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(symmetry,[status(thm)],[457])).
% 16.83/10.79 tff(459,plain,
% 16.83/10.79 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.83/10.79 inference(quant_inst,[status(thm)],[])).
% 16.83/10.79 tff(460,plain,
% 16.83/10.79 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(unit_resolution,[status(thm)],[459, 7])).
% 16.83/10.79 tff(461,plain,
% 16.83/10.79 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[448])).
% 16.83/10.79 tff(462,plain,
% 16.83/10.79 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[461])).
% 16.83/10.79 tff(463,plain,
% 16.83/10.79 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(symmetry,[status(thm)],[462])).
% 16.83/10.79 tff(464,plain,
% 16.83/10.79 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(quant_inst,[status(thm)],[])).
% 16.83/10.79 tff(465,plain,
% 16.83/10.79 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.79 inference(unit_resolution,[status(thm)],[464, 7])).
% 16.83/10.79 tff(466,plain,
% 16.83/10.79 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[309])).
% 16.83/10.79 tff(467,plain,
% 16.83/10.79 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.83/10.79 inference(symmetry,[status(thm)],[466])).
% 16.83/10.79 tff(468,plain,
% 16.83/10.79 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.79 inference(quant_inst,[status(thm)],[])).
% 16.83/10.79 tff(469,plain,
% 16.83/10.79 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.83/10.79 inference(unit_resolution,[status(thm)],[468, 7])).
% 16.83/10.79 tff(470,plain,
% 16.83/10.79 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))),
% 16.83/10.79 inference(symmetry,[status(thm)],[469])).
% 16.83/10.79 tff(471,plain,
% 16.83/10.79 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.83/10.79 inference(transitivity,[status(thm)],[470, 467])).
% 16.83/10.79 tff(472,plain,
% 16.83/10.79 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[471])).
% 16.83/10.79 tff(473,plain,
% 16.83/10.79 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.79 inference(symmetry,[status(thm)],[472])).
% 16.83/10.79 tff(474,plain,
% 16.83/10.79 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[473])).
% 16.83/10.79 tff(475,plain,
% 16.83/10.79 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.79 inference(transitivity,[status(thm)],[474, 465])).
% 16.83/10.79 tff(476,plain,
% 16.83/10.79 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.79 inference(monotonicity,[status(thm)],[475])).
% 16.83/10.79 tff(477,plain,
% 16.83/10.79 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.80 inference(symmetry,[status(thm)],[476])).
% 16.83/10.80 tff(478,plain,
% 16.83/10.80 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.83/10.80 inference(quant_inst,[status(thm)],[])).
% 16.83/10.80 tff(479,plain,
% 16.83/10.80 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.80 inference(unit_resolution,[status(thm)],[478, 7])).
% 16.83/10.80 tff(480,plain,
% 16.83/10.80 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.83/10.80 inference(monotonicity,[status(thm)],[471])).
% 16.83/10.80 tff(481,plain,
% 16.83/10.80 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.80 inference(symmetry,[status(thm)],[480])).
% 16.83/10.80 tff(482,plain,
% 16.83/10.80 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.80 inference(monotonicity,[status(thm)],[481])).
% 16.83/10.80 tff(483,plain,
% 16.83/10.80 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.80 inference(symmetry,[status(thm)],[482])).
% 16.83/10.80 tff(484,plain,
% 16.83/10.80 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.80 inference(quant_inst,[status(thm)],[])).
% 16.83/10.80 tff(485,plain,
% 16.83/10.80 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.80 inference(unit_resolution,[status(thm)],[484, 7])).
% 16.83/10.80 tff(486,plain,
% 16.83/10.80 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.80 inference(symmetry,[status(thm)],[485])).
% 16.83/10.80 tff(487,plain,
% 16.83/10.80 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.80 inference(transitivity,[status(thm)],[486, 483])).
% 16.83/10.80 tff(488,plain,
% 16.83/10.80 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.81 inference(monotonicity,[status(thm)],[487])).
% 16.83/10.81 tff(489,plain,
% 16.83/10.81 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.81 inference(symmetry,[status(thm)],[488])).
% 16.83/10.81 tff(490,plain,
% 16.83/10.81 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.83/10.81 inference(transitivity,[status(thm)],[489, 479, 477, 463, 460, 458, 455, 440, 438])).
% 16.83/10.81 tff(491,plain,
% 16.83/10.81 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.83/10.81 inference(monotonicity,[status(thm)],[490])).
% 16.83/10.81 tff(492,plain,
% 16.83/10.81 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.81 inference(monotonicity,[status(thm)],[442])).
% 16.83/10.81 tff(493,plain,
% 16.83/10.81 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.83/10.81 inference(symmetry,[status(thm)],[492])).
% 16.83/10.81 tff(494,plain,
% 16.83/10.81 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.81 inference(quant_inst,[status(thm)],[])).
% 16.83/10.81 tff(495,plain,
% 16.83/10.81 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.81 inference(unit_resolution,[status(thm)],[494, 7])).
% 16.83/10.81 tff(496,plain,
% 16.83/10.81 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))),
% 16.83/10.81 inference(symmetry,[status(thm)],[495])).
% 16.83/10.81 tff(497,plain,
% 16.83/10.81 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.83/10.81 inference(transitivity,[status(thm)],[496, 493])).
% 16.83/10.81 tff(498,plain,
% 16.83/10.81 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.83/10.81 inference(monotonicity,[status(thm)],[497])).
% 16.83/10.81 tff(499,plain,
% 16.83/10.81 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.87/10.81 inference(symmetry,[status(thm)],[498])).
% 16.87/10.81 tff(500,plain,
% 16.87/10.81 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.87/10.81 inference(monotonicity,[status(thm)],[499])).
% 16.87/10.81 tff(501,plain,
% 16.87/10.81 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.87/10.81 inference(symmetry,[status(thm)],[500])).
% 16.87/10.81 tff(502,plain,
% 16.87/10.81 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.81 inference(quant_inst,[status(thm)],[])).
% 16.87/10.81 tff(503,plain,
% 16.87/10.81 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.87/10.81 inference(unit_resolution,[status(thm)],[502, 7])).
% 16.87/10.81 tff(504,plain,
% 16.87/10.81 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.87/10.81 inference(symmetry,[status(thm)],[503])).
% 16.87/10.81 tff(505,plain,
% 16.87/10.81 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.87/10.81 inference(transitivity,[status(thm)],[504, 501])).
% 16.87/10.81 tff(506,plain,
% 16.87/10.81 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.81 inference(monotonicity,[status(thm)],[505])).
% 16.87/10.81 tff(507,plain,
% 16.87/10.81 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.81 inference(transitivity,[status(thm)],[506, 491, 436, 433, 333, 336, 340])).
% 16.87/10.81 tff(508,plain,
% 16.87/10.81 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.87/10.81 inference(monotonicity,[status(thm)],[507])).
% 16.87/10.81 tff(509,plain,
% 16.87/10.81 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))))),
% 16.87/10.82 inference(quant_inst,[status(thm)],[])).
% 16.87/10.82 tff(510,plain,
% 16.87/10.82 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.87/10.82 inference(unit_resolution,[status(thm)],[509, 7])).
% 16.87/10.82 tff(511,plain,
% 16.87/10.82 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.82 inference(monotonicity,[status(thm)],[505])).
% 16.87/10.82 tff(512,plain,
% 16.87/10.82 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.82 inference(symmetry,[status(thm)],[511])).
% 16.87/10.82 tff(513,plain,
% 16.87/10.82 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.82 inference(monotonicity,[status(thm)],[489])).
% 16.87/10.82 tff(514,plain,
% 16.87/10.82 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.82 inference(symmetry,[status(thm)],[513])).
% 16.87/10.82 tff(515,plain,
% 16.87/10.82 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.87/10.82 inference(quant_inst,[status(thm)],[])).
% 16.87/10.82 tff(516,plain,
% 16.87/10.82 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.82 inference(unit_resolution,[status(thm)],[515, 7])).
% 16.87/10.82 tff(517,plain,
% 16.87/10.82 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.87/10.82 inference(monotonicity,[status(thm)],[487])).
% 16.87/10.82 tff(518,plain,
% 16.87/10.83 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.83 inference(monotonicity,[status(thm)],[517])).
% 16.87/10.83 tff(519,plain,
% 16.87/10.83 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.83 inference(symmetry,[status(thm)],[518])).
% 16.87/10.83 tff(520,plain,
% 16.87/10.83 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.87/10.83 inference(transitivity,[status(thm)],[519, 516, 514, 512])).
% 16.87/10.83 tff(521,plain,
% 16.87/10.83 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.87/10.83 inference(monotonicity,[status(thm)],[520])).
% 16.87/10.83 tff(522,plain,
% 16.87/10.83 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.87/10.83 inference(transitivity,[status(thm)],[521, 510, 508, 343, 397, 393])).
% 16.87/10.83 tff(523,plain,
% 16.87/10.83 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.87/10.83 inference(monotonicity,[status(thm)],[522])).
% 16.87/10.83 tff(524,plain,
% 16.87/10.83 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.87/10.83 inference(quant_inst,[status(thm)],[])).
% 16.87/10.83 tff(525,plain,
% 16.87/10.83 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.87/10.83 inference(unit_resolution,[status(thm)],[524, 7])).
% 16.87/10.83 tff(526,plain,
% 16.87/10.83 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.83 inference(monotonicity,[status(thm)],[520])).
% 16.89/10.83 tff(527,plain,
% 16.89/10.83 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.83 inference(symmetry,[status(thm)],[526])).
% 16.89/10.83 tff(528,plain,
% 16.89/10.83 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))))),
% 16.89/10.83 inference(quant_inst,[status(thm)],[])).
% 16.89/10.83 tff(529,plain,
% 16.89/10.83 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.83 inference(unit_resolution,[status(thm)],[528, 7])).
% 16.89/10.83 tff(530,plain,
% 16.89/10.83 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.83 inference(monotonicity,[status(thm)],[505])).
% 16.89/10.83 tff(531,plain,
% 16.89/10.83 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.83 inference(monotonicity,[status(thm)],[530])).
% 16.89/10.83 tff(532,plain,
% 16.89/10.83 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.83 inference(symmetry,[status(thm)],[531])).
% 16.89/10.83 tff(533,plain,
% 16.89/10.83 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))) = sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))),
% 16.89/10.83 inference(quant_inst,[status(thm)],[])).
% 16.89/10.83 tff(534,plain,
% 16.89/10.83 (sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))) = sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))),
% 16.89/10.83 inference(unit_resolution,[status(thm)],[533, 7])).
% 16.89/10.83 tff(535,plain,
% 16.89/10.83 (sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))) = sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))),
% 16.89/10.83 inference(monotonicity,[status(thm)],[12])).
% 16.89/10.84 tff(536,plain,
% 16.89/10.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))) = sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))),
% 16.89/10.84 inference(quant_inst,[status(thm)],[])).
% 16.89/10.84 tff(537,plain,
% 16.89/10.84 (sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))) = sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))),
% 16.89/10.84 inference(unit_resolution,[status(thm)],[536, 7])).
% 16.89/10.84 tff(538,plain,
% 16.89/10.84 (sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))) = sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))),
% 16.89/10.84 inference(symmetry,[status(thm)],[537])).
% 16.89/10.84 tff(539,plain,
% 16.89/10.84 (sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))) = sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))),
% 16.89/10.84 inference(transitivity,[status(thm)],[538, 535])).
% 16.89/10.84 tff(540,plain,
% 16.89/10.84 (sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.89/10.84 inference(monotonicity,[status(thm)],[539])).
% 16.89/10.84 tff(541,plain,
% 16.89/10.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))) = sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))),
% 16.89/10.84 inference(quant_inst,[status(thm)],[])).
% 16.89/10.84 tff(542,plain,
% 16.89/10.84 (sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))) = sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))),
% 16.89/10.84 inference(unit_resolution,[status(thm)],[541, 7])).
% 16.89/10.84 tff(543,plain,
% 16.89/10.84 (sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))),
% 16.89/10.84 inference(symmetry,[status(thm)],[542])).
% 16.89/10.84 tff(544,plain,
% 16.89/10.84 (sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.89/10.84 inference(transitivity,[status(thm)],[543, 540])).
% 16.89/10.84 tff(545,plain,
% 16.89/10.84 (sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.89/10.84 inference(monotonicity,[status(thm)],[544])).
% 16.89/10.84 tff(546,plain,
% 16.89/10.84 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))) = sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))),
% 16.89/10.84 inference(quant_inst,[status(thm)],[])).
% 16.89/10.84 tff(547,plain,
% 16.89/10.84 (sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))) = sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))),
% 16.89/10.84 inference(unit_resolution,[status(thm)],[546, 7])).
% 16.89/10.84 tff(548,plain,
% 16.89/10.84 (sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))),
% 16.89/10.84 inference(symmetry,[status(thm)],[547])).
% 16.89/10.84 tff(549,plain,
% 16.89/10.84 (sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.89/10.84 inference(transitivity,[status(thm)],[548, 545])).
% 16.89/10.84 tff(550,plain,
% 16.89/10.84 (sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.89/10.84 inference(monotonicity,[status(thm)],[549])).
% 16.89/10.84 tff(551,plain,
% 16.89/10.84 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))),
% 16.89/10.85 inference(symmetry,[status(thm)],[550])).
% 16.89/10.85 tff(552,plain,
% 16.89/10.85 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))),
% 16.89/10.85 inference(transitivity,[status(thm)],[447, 444, 551, 534])).
% 16.89/10.85 tff(553,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))),
% 16.89/10.85 inference(monotonicity,[status(thm)],[552])).
% 16.89/10.85 tff(554,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.85 inference(symmetry,[status(thm)],[553])).
% 16.89/10.85 tff(555,plain,
% 16.89/10.85 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))) = sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))),
% 16.89/10.85 inference(quant_inst,[status(thm)],[])).
% 16.89/10.85 tff(556,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))) = sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))),
% 16.89/10.85 inference(unit_resolution,[status(thm)],[555, 7])).
% 16.89/10.85 tff(557,plain,
% 16.89/10.85 (sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x11, x1), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))),
% 16.89/10.85 inference(symmetry,[status(thm)],[556])).
% 16.89/10.85 tff(558,plain,
% 16.89/10.85 (sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.85 inference(transitivity,[status(thm)],[557, 554])).
% 16.89/10.85 tff(559,plain,
% 16.89/10.85 (sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.85 inference(monotonicity,[status(thm)],[558])).
% 16.89/10.85 tff(560,plain,
% 16.89/10.85 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))),
% 16.89/10.85 inference(symmetry,[status(thm)],[559])).
% 16.89/10.85 tff(561,plain,
% 16.89/10.85 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.85 inference(quant_inst,[status(thm)],[])).
% 16.89/10.85 tff(562,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.85 inference(unit_resolution,[status(thm)],[561, 7])).
% 16.89/10.85 tff(563,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.85 inference(monotonicity,[status(thm)],[449])).
% 16.89/10.85 tff(564,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.85 inference(symmetry,[status(thm)],[563])).
% 16.89/10.85 tff(565,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))),
% 16.89/10.85 inference(transitivity,[status(thm)],[564, 562, 560])).
% 16.89/10.85 tff(566,plain,
% 16.89/10.85 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.85 inference(monotonicity,[status(thm)],[565])).
% 16.89/10.85 tff(567,plain,
% 16.89/10.85 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.85 inference(symmetry,[status(thm)],[566])).
% 16.89/10.85 tff(568,plain,
% 16.89/10.85 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))))),
% 16.89/10.85 inference(quant_inst,[status(thm)],[])).
% 16.89/10.85 tff(569,plain,
% 16.89/10.85 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.85 inference(unit_resolution,[status(thm)],[568, 7])).
% 16.89/10.85 tff(570,plain,
% 16.89/10.85 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.85 inference(symmetry,[status(thm)],[461])).
% 16.89/10.85 tff(571,plain,
% 16.89/10.85 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(monotonicity,[status(thm)],[570])).
% 16.89/10.86 tff(572,plain,
% 16.89/10.86 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[571])).
% 16.89/10.86 tff(573,plain,
% 16.89/10.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.86 inference(quant_inst,[status(thm)],[])).
% 16.89/10.86 tff(574,plain,
% 16.89/10.86 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(unit_resolution,[status(thm)],[573, 7])).
% 16.89/10.86 tff(575,plain,
% 16.89/10.86 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[574])).
% 16.89/10.86 tff(576,plain,
% 16.89/10.86 (sep(lseg(x10, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(monotonicity,[status(thm)],[558])).
% 16.89/10.86 tff(577,plain,
% 16.89/10.86 (sep(lseg(x10, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(transitivity,[status(thm)],[576, 575, 572])).
% 16.89/10.86 tff(578,plain,
% 16.89/10.86 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.86 inference(monotonicity,[status(thm)],[577])).
% 16.89/10.86 tff(579,plain,
% 16.89/10.86 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[578])).
% 16.89/10.86 tff(580,plain,
% 16.89/10.86 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[474])).
% 16.89/10.86 tff(581,plain,
% 16.89/10.86 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[465])).
% 16.89/10.86 tff(582,plain,
% 16.89/10.86 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.86 inference(transitivity,[status(thm)],[581, 580])).
% 16.89/10.86 tff(583,plain,
% 16.89/10.86 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(monotonicity,[status(thm)],[582])).
% 16.89/10.86 tff(584,plain,
% 16.89/10.86 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[583])).
% 16.89/10.86 tff(585,plain,
% 16.89/10.86 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.86 inference(monotonicity,[status(thm)],[584])).
% 16.89/10.86 tff(586,plain,
% 16.89/10.86 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[585])).
% 16.89/10.86 tff(587,plain,
% 16.89/10.86 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.86 inference(quant_inst,[status(thm)],[])).
% 16.89/10.86 tff(588,plain,
% 16.89/10.86 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.86 inference(unit_resolution,[status(thm)],[587, 7])).
% 16.89/10.86 tff(589,plain,
% 16.89/10.86 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[588])).
% 16.89/10.86 tff(590,plain,
% 16.89/10.86 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.86 inference(symmetry,[status(thm)],[479])).
% 16.89/10.86 tff(591,plain,
% 16.89/10.86 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.87 inference(transitivity,[status(thm)],[590, 488])).
% 16.89/10.87 tff(592,plain,
% 16.89/10.87 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.87 inference(monotonicity,[status(thm)],[591])).
% 16.89/10.87 tff(593,plain,
% 16.89/10.87 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.87 inference(symmetry,[status(thm)],[592])).
% 16.89/10.87 tff(594,plain,
% 16.89/10.87 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.87 inference(transitivity,[status(thm)],[593, 589, 586, 579, 569, 567])).
% 16.89/10.87 tff(595,plain,
% 16.89/10.87 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.87 inference(monotonicity,[status(thm)],[594])).
% 16.89/10.87 tff(596,plain,
% 16.89/10.87 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.87 inference(symmetry,[status(thm)],[595])).
% 16.89/10.87 tff(597,plain,
% 16.89/10.87 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.89/10.87 inference(quant_inst,[status(thm)],[])).
% 16.89/10.87 tff(598,plain,
% 16.89/10.87 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.87 inference(unit_resolution,[status(thm)],[597, 7])).
% 16.89/10.87 tff(599,plain,
% 16.89/10.87 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.87 inference(symmetry,[status(thm)],[598])).
% 16.89/10.87 tff(600,plain,
% 16.89/10.87 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.88 inference(monotonicity,[status(thm)],[448])).
% 16.89/10.88 tff(601,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.88 inference(symmetry,[status(thm)],[600])).
% 16.89/10.88 tff(602,plain,
% 16.89/10.88 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.88 inference(monotonicity,[status(thm)],[601])).
% 16.89/10.88 tff(603,plain,
% 16.89/10.88 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.88 inference(symmetry,[status(thm)],[602])).
% 16.89/10.88 tff(604,plain,
% 16.89/10.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.88 inference(quant_inst,[status(thm)],[])).
% 16.89/10.88 tff(605,plain,
% 16.89/10.88 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.88 inference(unit_resolution,[status(thm)],[604, 7])).
% 16.89/10.88 tff(606,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.88 inference(symmetry,[status(thm)],[605])).
% 16.89/10.88 tff(607,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.88 inference(monotonicity,[status(thm)],[558])).
% 16.89/10.88 tff(608,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.88 inference(transitivity,[status(thm)],[607, 606, 603])).
% 16.89/10.88 tff(609,plain,
% 16.89/10.88 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.88 inference(monotonicity,[status(thm)],[608])).
% 16.89/10.88 tff(610,plain,
% 16.89/10.88 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))))),
% 16.89/10.88 inference(quant_inst,[status(thm)],[])).
% 16.89/10.88 tff(611,plain,
% 16.89/10.88 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.88 inference(unit_resolution,[status(thm)],[610, 7])).
% 16.89/10.88 tff(612,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.88 inference(symmetry,[status(thm)],[611])).
% 16.89/10.88 tff(613,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x1), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.88 inference(monotonicity,[status(thm)],[565])).
% 16.89/10.88 tff(614,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.88 inference(transitivity,[status(thm)],[613, 612, 609])).
% 16.89/10.88 tff(615,plain,
% 16.89/10.88 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.88 inference(monotonicity,[status(thm)],[614])).
% 16.89/10.88 tff(616,plain,
% 16.89/10.88 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.88 inference(symmetry,[status(thm)],[615])).
% 16.89/10.88 tff(617,plain,
% 16.89/10.88 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.88 inference(transitivity,[status(thm)],[616, 599, 596, 532, 529, 527])).
% 16.89/10.88 tff(618,plain,
% 16.89/10.88 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.89/10.88 inference(monotonicity,[status(thm)],[617])).
% 16.89/10.88 tff(619,plain,
% 16.89/10.88 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.89 inference(monotonicity,[status(thm)],[473])).
% 16.89/10.89 tff(620,plain,
% 16.89/10.89 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.89 inference(symmetry,[status(thm)],[619])).
% 16.89/10.89 tff(621,plain,
% 16.89/10.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.89 inference(quant_inst,[status(thm)],[])).
% 16.89/10.89 tff(622,plain,
% 16.89/10.89 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.89 inference(unit_resolution,[status(thm)],[621, 7])).
% 16.89/10.89 tff(623,plain,
% 16.89/10.89 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.89 inference(symmetry,[status(thm)],[622])).
% 16.89/10.89 tff(624,plain,
% 16.89/10.89 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.89 inference(transitivity,[status(thm)],[623, 620])).
% 16.89/10.89 tff(625,plain,
% 16.89/10.89 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.89 inference(monotonicity,[status(thm)],[624])).
% 16.89/10.89 tff(626,plain,
% 16.89/10.89 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.89 inference(monotonicity,[status(thm)],[625])).
% 16.89/10.89 tff(627,plain,
% 16.89/10.89 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.89 inference(quant_inst,[status(thm)],[])).
% 16.89/10.89 tff(628,plain,
% 16.89/10.89 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.89 inference(unit_resolution,[status(thm)],[627, 7])).
% 16.89/10.89 tff(629,plain,
% 16.89/10.89 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.90 inference(symmetry,[status(thm)],[628])).
% 16.89/10.90 tff(630,plain,
% 16.89/10.90 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.90 inference(monotonicity,[status(thm)],[624])).
% 16.89/10.90 tff(631,plain,
% 16.89/10.90 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.90 inference(symmetry,[status(thm)],[630])).
% 16.89/10.90 tff(632,plain,
% 16.89/10.90 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x11, x12), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.90 inference(monotonicity,[status(thm)],[631])).
% 16.89/10.90 tff(633,plain,
% 16.89/10.90 (sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.89/10.90 inference(monotonicity,[status(thm)],[535])).
% 16.89/10.90 tff(634,plain,
% 16.89/10.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.89/10.90 inference(quant_inst,[status(thm)],[])).
% 16.89/10.90 tff(635,plain,
% 16.89/10.90 (sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.89/10.90 inference(unit_resolution,[status(thm)],[634, 7])).
% 16.89/10.90 tff(636,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 16.89/10.90 inference(symmetry,[status(thm)],[635])).
% 16.89/10.90 tff(637,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 16.89/10.90 inference(transitivity,[status(thm)],[636, 633])).
% 16.89/10.90 tff(638,plain,
% 16.89/10.90 (sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.89/10.90 inference(monotonicity,[status(thm)],[637])).
% 16.89/10.90 tff(639,plain,
% 16.89/10.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.89/10.90 inference(quant_inst,[status(thm)],[])).
% 16.89/10.90 tff(640,plain,
% 16.89/10.90 (sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.89/10.90 inference(unit_resolution,[status(thm)],[639, 7])).
% 16.89/10.90 tff(641,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 16.89/10.90 inference(symmetry,[status(thm)],[640])).
% 16.89/10.90 tff(642,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 16.89/10.90 inference(transitivity,[status(thm)],[641, 638])).
% 16.89/10.90 tff(643,plain,
% 16.89/10.90 (sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.89/10.90 inference(monotonicity,[status(thm)],[642])).
% 16.89/10.90 tff(644,plain,
% 16.89/10.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.89/10.90 inference(quant_inst,[status(thm)],[])).
% 16.89/10.90 tff(645,plain,
% 16.89/10.90 (sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.89/10.90 inference(unit_resolution,[status(thm)],[644, 7])).
% 16.89/10.90 tff(646,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 16.89/10.90 inference(symmetry,[status(thm)],[645])).
% 16.89/10.90 tff(647,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 16.89/10.90 inference(transitivity,[status(thm)],[646, 643])).
% 16.89/10.90 tff(648,plain,
% 16.89/10.90 (sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.90 inference(monotonicity,[status(thm)],[647])).
% 16.89/10.90 tff(649,plain,
% 16.89/10.90 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.89/10.90 inference(quant_inst,[status(thm)],[])).
% 16.89/10.90 tff(650,plain,
% 16.89/10.90 (sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.89/10.90 inference(unit_resolution,[status(thm)],[649, 7])).
% 16.89/10.90 tff(651,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 16.89/10.90 inference(symmetry,[status(thm)],[650])).
% 16.89/10.90 tff(652,plain,
% 16.89/10.90 (sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 16.89/10.90 inference(transitivity,[status(thm)],[651, 648])).
% 16.89/10.90 tff(653,plain,
% 16.89/10.90 (sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.91 inference(monotonicity,[status(thm)],[652])).
% 16.89/10.91 tff(654,plain,
% 16.89/10.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.91 inference(quant_inst,[status(thm)],[])).
% 16.89/10.91 tff(655,plain,
% 16.89/10.91 (sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.89/10.91 inference(unit_resolution,[status(thm)],[654, 7])).
% 16.89/10.91 tff(656,plain,
% 16.89/10.91 (sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 16.89/10.91 inference(symmetry,[status(thm)],[655])).
% 16.89/10.91 tff(657,plain,
% 16.89/10.91 (sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.89/10.91 inference(transitivity,[status(thm)],[656, 653])).
% 16.89/10.91 tff(658,plain,
% 16.89/10.91 (sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.91 inference(monotonicity,[status(thm)],[657])).
% 16.89/10.91 tff(659,plain,
% 16.89/10.91 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.89/10.91 inference(quant_inst,[status(thm)],[])).
% 16.89/10.91 tff(660,plain,
% 16.89/10.91 (sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.91 inference(unit_resolution,[status(thm)],[659, 7])).
% 16.89/10.91 tff(661,plain,
% 16.89/10.91 (sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 16.89/10.91 inference(symmetry,[status(thm)],[660])).
% 16.89/10.91 tff(662,plain,
% 16.89/10.91 (sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.89/10.91 inference(transitivity,[status(thm)],[661, 658, 632, 629, 626])).
% 16.89/10.91 tff(663,plain,
% 16.89/10.91 (sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.92 inference(monotonicity,[status(thm)],[662])).
% 16.89/10.92 tff(664,plain,
% 16.89/10.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))),
% 16.89/10.92 inference(quant_inst,[status(thm)],[])).
% 16.89/10.92 tff(665,plain,
% 16.89/10.92 (sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.89/10.92 inference(unit_resolution,[status(thm)],[664, 7])).
% 16.89/10.92 tff(666,plain,
% 16.89/10.92 (sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 16.89/10.92 inference(symmetry,[status(thm)],[665])).
% 16.89/10.92 tff(667,plain,
% 16.89/10.92 (sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.89/10.92 inference(transitivity,[status(thm)],[666, 663])).
% 16.89/10.92 tff(668,plain,
% 16.89/10.92 (sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.89/10.92 inference(monotonicity,[status(thm)],[667])).
% 16.89/10.92 tff(669,plain,
% 16.89/10.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.89/10.92 inference(quant_inst,[status(thm)],[])).
% 16.89/10.92 tff(670,plain,
% 16.89/10.92 (sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))),
% 16.89/10.92 inference(unit_resolution,[status(thm)],[669, 7])).
% 16.89/10.92 tff(671,plain,
% 16.89/10.92 (sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))) = sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))),
% 16.89/10.92 inference(symmetry,[status(thm)],[670])).
% 16.89/10.92 tff(672,plain,
% 16.89/10.92 (sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.89/10.92 inference(transitivity,[status(thm)],[671, 668, 618, 525, 523, 396])).
% 16.89/10.92 tff(673,plain,
% 16.89/10.92 (sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.89/10.92 inference(monotonicity,[status(thm)],[672])).
% 16.89/10.92 tff(674,plain,
% 16.89/10.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))))),
% 16.89/10.92 inference(quant_inst,[status(thm)],[])).
% 16.89/10.92 tff(675,plain,
% 16.89/10.92 (sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.89/10.92 inference(unit_resolution,[status(thm)],[674, 7])).
% 16.89/10.92 tff(676,plain,
% 16.89/10.92 (sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) = sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.89/10.92 inference(symmetry,[status(thm)],[675])).
% 16.89/10.92 tff(677,plain,
% 16.89/10.92 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.89/10.92 inference(quant_inst,[status(thm)],[])).
% 16.89/10.92 tff(678,plain,
% 16.89/10.92 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))),
% 16.99/10.93 inference(unit_resolution,[status(thm)],[677, 7])).
% 16.99/10.93 tff(679,plain,
% 16.99/10.93 (sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.99/10.93 inference(monotonicity,[status(thm)],[678])).
% 16.99/10.93 tff(680,plain,
% 16.99/10.93 (sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.93 inference(transitivity,[status(thm)],[679, 676, 673, 302, 299])).
% 16.99/10.93 tff(681,plain,
% 16.99/10.93 (heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))) <=> heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.99/10.93 inference(monotonicity,[status(thm)],[680])).
% 16.99/10.93 tff(682,plain,
% 16.99/10.93 (heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))) <=> heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))))),
% 16.99/10.93 inference(symmetry,[status(thm)],[681])).
% 16.99/10.93 tff(683,plain,
% 16.99/10.93 (heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))) <=> heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.99/10.93 inference(rewrite,[status(thm)],[])).
% 16.99/10.93 tff(684,axiom,(heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_13')).
% 16.99/10.93 tff(685,plain,
% 16.99/10.93 (heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.99/10.93 inference(modus_ponens,[status(thm)],[684, 683])).
% 16.99/10.93 tff(686,plain,
% 16.99/10.93 (heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))))),
% 16.99/10.93 inference(modus_ponens,[status(thm)],[685, 682])).
% 16.99/10.93 tff(687,plain,
% 16.99/10.93 (^[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)))))))),
% 16.99/10.93 inference(bind,[status(th)],[])).
% 16.99/10.93 tff(688,plain,
% 16.99/10.93 (![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)))))) <=> ![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))))))),
% 16.99/10.93 inference(quant_intro,[status(thm)],[687])).
% 16.99/10.93 tff(689,plain,
% 16.99/10.93 (![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)))))) <=> ![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))))))),
% 16.99/10.93 inference(rewrite,[status(thm)],[])).
% 16.99/10.93 tff(690,plain,
% 16.99/10.93 (^[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)))))))),
% 16.99/10.93 inference(bind,[status(th)],[])).
% 16.99/10.93 tff(691,plain,
% 16.99/10.93 (![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))))))),
% 16.99/10.93 inference(quant_intro,[status(thm)],[690])).
% 16.99/10.93 tff(692,axiom,(![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','unfolding_5')).
% 16.99/10.93 tff(693,plain,
% 16.99/10.93 (![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))))))),
% 16.99/10.93 inference(modus_ponens,[status(thm)],[692, 691])).
% 16.99/10.93 tff(694,plain,
% 16.99/10.93 (![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))))))),
% 16.99/10.93 inference(modus_ponens,[status(thm)],[693, 689])).
% 16.99/10.93 tff(695,plain,(
% 16.99/10.93 ![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))))))),
% 16.99/10.93 inference(skolemize,[status(sab)],[694])).
% 16.99/10.93 tff(696,plain,
% 16.99/10.93 (![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))))))),
% 16.99/10.93 inference(modus_ponens,[status(thm)],[695, 688])).
% 16.99/10.93 tff(697,plain,
% 16.99/10.93 (((~![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))))))) | ((x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), 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))))))) | (x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))))))),
% 16.99/10.94 inference(rewrite,[status(thm)],[])).
% 16.99/10.94 tff(698,plain,
% 16.99/10.94 ((heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (x7 = x10) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))))) <=> ((x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))))))),
% 16.99/10.94 inference(rewrite,[status(thm)],[])).
% 16.99/10.94 tff(699,plain,
% 16.99/10.94 (((~![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(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (x7 = x10) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), 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))))))) | ((x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))))))),
% 16.99/10.94 inference(monotonicity,[status(thm)],[698])).
% 16.99/10.94 tff(700,plain,
% 16.99/10.94 (((~![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(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (x7 = x10) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), 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))))))) | (x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))))))),
% 16.99/10.95 inference(transitivity,[status(thm)],[699, 697])).
% 16.99/10.95 tff(701,plain,
% 16.99/10.95 ((~![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(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (x7 = x10) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))))))),
% 16.99/10.95 inference(quant_inst,[status(thm)],[])).
% 16.99/10.95 tff(702,plain,
% 16.99/10.95 ((~![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))))))) | (x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))))),
% 16.99/10.95 inference(modus_ponens,[status(thm)],[701, 700])).
% 16.99/10.95 tff(703,plain,
% 16.99/10.95 ((x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))))),
% 16.99/10.95 inference(unit_resolution,[status(thm)],[702, 696])).
% 16.99/10.95 tff(704,plain,
% 16.99/10.95 ((x7 = x10) | heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.99/10.95 inference(unit_resolution,[status(thm)],[703, 686])).
% 16.99/10.95 tff(705,plain,
% 16.99/10.95 (x7 = x10),
% 16.99/10.95 inference(unit_resolution,[status(thm)],[704, 240])).
% 16.99/10.95 tff(706,plain,
% 16.99/10.95 (lseg(x11, x7) = lseg(x11, x10)),
% 16.99/10.95 inference(monotonicity,[status(thm)],[705])).
% 16.99/10.95 tff(707,plain,
% 16.99/10.95 (lseg(x11, x10) = lseg(x11, x7)),
% 16.99/10.95 inference(symmetry,[status(thm)],[706])).
% 16.99/10.95 tff(708,plain,
% 16.99/10.95 (sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))),
% 16.99/10.95 inference(monotonicity,[status(thm)],[707, 239])).
% 16.99/10.95 tff(709,plain,
% 16.99/10.95 (heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) <=> heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))),
% 16.99/10.95 inference(monotonicity,[status(thm)],[708])).
% 16.99/10.95 tff(710,plain,
% 16.99/10.95 (heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))))) <=> heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.95 inference(symmetry,[status(thm)],[709])).
% 16.99/10.95 tff(711,plain,
% 16.99/10.95 ((~heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))) <=> (~heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.99/10.95 inference(monotonicity,[status(thm)],[710])).
% 16.99/10.95 tff(712,plain,
% 16.99/10.95 (~heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.95 inference(modus_ponens,[status(thm)],[240, 711])).
% 16.99/10.95 tff(713,plain,
% 16.99/10.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.99/10.95 inference(quant_inst,[status(thm)],[])).
% 16.99/10.95 tff(714,plain,
% 16.99/10.95 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.95 inference(unit_resolution,[status(thm)],[713, 7])).
% 16.99/10.95 tff(715,plain,
% 16.99/10.95 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.95 inference(symmetry,[status(thm)],[714])).
% 16.99/10.95 tff(716,plain,
% 16.99/10.95 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.95 inference(quant_inst,[status(thm)],[])).
% 16.99/10.95 tff(717,plain,
% 16.99/10.95 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.95 inference(unit_resolution,[status(thm)],[716, 7])).
% 16.99/10.95 tff(718,plain,
% 16.99/10.95 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.96 inference(symmetry,[status(thm)],[717])).
% 16.99/10.96 tff(719,plain,
% 16.99/10.96 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.96 inference(monotonicity,[status(thm)],[718])).
% 16.99/10.96 tff(720,plain,
% 16.99/10.96 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.96 inference(monotonicity,[status(thm)],[719])).
% 16.99/10.96 tff(721,plain,
% 16.99/10.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.96 inference(quant_inst,[status(thm)],[])).
% 16.99/10.96 tff(722,plain,
% 16.99/10.96 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.96 inference(unit_resolution,[status(thm)],[721, 7])).
% 16.99/10.96 tff(723,plain,
% 16.99/10.96 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.96 inference(symmetry,[status(thm)],[722])).
% 16.99/10.96 tff(724,plain,
% 16.99/10.96 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.96 inference(transitivity,[status(thm)],[723, 720])).
% 16.99/10.96 tff(725,plain,
% 16.99/10.96 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.96 inference(monotonicity,[status(thm)],[724])).
% 16.99/10.96 tff(726,plain,
% 16.99/10.96 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.99/10.97 inference(quant_inst,[status(thm)],[])).
% 16.99/10.97 tff(727,plain,
% 16.99/10.97 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.97 inference(unit_resolution,[status(thm)],[726, 7])).
% 16.99/10.97 tff(728,plain,
% 16.99/10.97 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.97 inference(symmetry,[status(thm)],[727])).
% 16.99/10.97 tff(729,plain,
% 16.99/10.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.97 inference(quant_inst,[status(thm)],[])).
% 16.99/10.97 tff(730,plain,
% 16.99/10.97 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.97 inference(unit_resolution,[status(thm)],[729, 7])).
% 16.99/10.97 tff(731,plain,
% 16.99/10.97 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.97 inference(symmetry,[status(thm)],[247])).
% 16.99/10.97 tff(732,plain,
% 16.99/10.97 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.97 inference(transitivity,[status(thm)],[718, 731, 730])).
% 16.99/10.97 tff(733,plain,
% 16.99/10.97 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.97 inference(monotonicity,[status(thm)],[732])).
% 16.99/10.97 tff(734,plain,
% 16.99/10.97 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.97 inference(symmetry,[status(thm)],[733])).
% 16.99/10.97 tff(735,plain,
% 16.99/10.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.97 inference(quant_inst,[status(thm)],[])).
% 16.99/10.97 tff(736,plain,
% 16.99/10.97 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.97 inference(unit_resolution,[status(thm)],[735, 7])).
% 16.99/10.97 tff(737,plain,
% 16.99/10.97 (sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.97 inference(symmetry,[status(thm)],[736])).
% 16.99/10.97 tff(738,plain,
% 16.99/10.97 (sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.97 inference(transitivity,[status(thm)],[737, 734])).
% 16.99/10.97 tff(739,plain,
% 16.99/10.97 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.97 inference(monotonicity,[status(thm)],[738])).
% 16.99/10.97 tff(740,plain,
% 16.99/10.97 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.97 inference(quant_inst,[status(thm)],[])).
% 16.99/10.97 tff(741,plain,
% 16.99/10.97 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.97 inference(unit_resolution,[status(thm)],[740, 7])).
% 16.99/10.97 tff(742,plain,
% 16.99/10.97 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.98 inference(symmetry,[status(thm)],[741])).
% 16.99/10.98 tff(743,plain,
% 16.99/10.98 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.98 inference(transitivity,[status(thm)],[742, 739])).
% 16.99/10.98 tff(744,plain,
% 16.99/10.98 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.98 inference(monotonicity,[status(thm)],[743])).
% 16.99/10.98 tff(745,plain,
% 16.99/10.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 16.99/10.98 inference(quant_inst,[status(thm)],[])).
% 16.99/10.98 tff(746,plain,
% 16.99/10.98 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.98 inference(unit_resolution,[status(thm)],[745, 7])).
% 16.99/10.98 tff(747,plain,
% 16.99/10.98 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.98 inference(symmetry,[status(thm)],[746])).
% 16.99/10.98 tff(748,plain,
% 16.99/10.98 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.98 inference(quant_inst,[status(thm)],[])).
% 16.99/10.98 tff(749,plain,
% 16.99/10.98 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.99 inference(unit_resolution,[status(thm)],[748, 7])).
% 16.99/10.99 tff(750,plain,
% 16.99/10.99 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.99/10.99 inference(monotonicity,[status(thm)],[259])).
% 16.99/10.99 tff(751,plain,
% 16.99/10.99 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 16.99/10.99 inference(symmetry,[status(thm)],[750])).
% 16.99/10.99 tff(752,plain,
% 16.99/10.99 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.99 inference(monotonicity,[status(thm)],[751])).
% 16.99/10.99 tff(753,plain,
% 16.99/10.99 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 16.99/10.99 inference(transitivity,[status(thm)],[752, 749])).
% 16.99/10.99 tff(754,plain,
% 16.99/10.99 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.99 inference(monotonicity,[status(thm)],[753])).
% 16.99/10.99 tff(755,plain,
% 16.99/10.99 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.99 inference(symmetry,[status(thm)],[754])).
% 16.99/10.99 tff(756,plain,
% 16.99/10.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.99 inference(quant_inst,[status(thm)],[])).
% 16.99/10.99 tff(757,plain,
% 16.99/10.99 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.99 inference(unit_resolution,[status(thm)],[756, 7])).
% 16.99/10.99 tff(758,plain,
% 16.99/10.99 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.99 inference(symmetry,[status(thm)],[757])).
% 16.99/10.99 tff(759,plain,
% 16.99/10.99 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.99 inference(transitivity,[status(thm)],[758, 755])).
% 16.99/10.99 tff(760,plain,
% 16.99/10.99 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.99 inference(monotonicity,[status(thm)],[759])).
% 16.99/10.99 tff(761,plain,
% 16.99/10.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 16.99/10.99 inference(quant_inst,[status(thm)],[])).
% 16.99/10.99 tff(762,plain,
% 16.99/10.99 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.99 inference(unit_resolution,[status(thm)],[761, 7])).
% 16.99/10.99 tff(763,plain,
% 16.99/10.99 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.99 inference(symmetry,[status(thm)],[762])).
% 16.99/10.99 tff(764,plain,
% 16.99/10.99 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 16.99/10.99 inference(quant_inst,[status(thm)],[])).
% 16.99/10.99 tff(765,plain,
% 16.99/10.99 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 16.99/10.99 inference(unit_resolution,[status(thm)],[764, 7])).
% 16.99/10.99 tff(766,plain,
% 16.99/10.99 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.00 inference(monotonicity,[status(thm)],[259])).
% 17.05/11.00 tff(767,plain,
% 17.05/11.00 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.00 inference(symmetry,[status(thm)],[766])).
% 17.05/11.00 tff(768,plain,
% 17.05/11.00 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.00 inference(monotonicity,[status(thm)],[767])).
% 17.05/11.00 tff(769,plain,
% 17.05/11.00 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.00 inference(symmetry,[status(thm)],[768])).
% 17.05/11.00 tff(770,plain,
% 17.05/11.00 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.00 inference(quant_inst,[status(thm)],[])).
% 17.05/11.00 tff(771,plain,
% 17.05/11.00 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.00 inference(unit_resolution,[status(thm)],[770, 7])).
% 17.05/11.00 tff(772,plain,
% 17.05/11.00 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.00 inference(symmetry,[status(thm)],[771])).
% 17.05/11.00 tff(773,plain,
% 17.05/11.00 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.00 inference(transitivity,[status(thm)],[772, 769])).
% 17.05/11.00 tff(774,plain,
% 17.05/11.00 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.00 inference(monotonicity,[status(thm)],[773])).
% 17.05/11.00 tff(775,plain,
% 17.05/11.00 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.01 inference(symmetry,[status(thm)],[774])).
% 17.05/11.01 tff(776,plain,
% 17.05/11.01 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.01 inference(transitivity,[status(thm)],[775, 765])).
% 17.05/11.01 tff(777,plain,
% 17.05/11.01 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.05/11.01 inference(monotonicity,[status(thm)],[776])).
% 17.05/11.01 tff(778,plain,
% 17.05/11.01 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.01 inference(monotonicity,[status(thm)],[254])).
% 17.05/11.01 tff(779,plain,
% 17.05/11.01 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.01 inference(symmetry,[status(thm)],[778])).
% 17.05/11.01 tff(780,plain,
% 17.05/11.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.01 inference(quant_inst,[status(thm)],[])).
% 17.05/11.01 tff(781,plain,
% 17.05/11.01 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.01 inference(unit_resolution,[status(thm)],[780, 7])).
% 17.05/11.01 tff(782,plain,
% 17.05/11.01 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.01 inference(symmetry,[status(thm)],[781])).
% 17.05/11.01 tff(783,plain,
% 17.05/11.01 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.01 inference(transitivity,[status(thm)],[782, 779])).
% 17.05/11.01 tff(784,plain,
% 17.05/11.01 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.01 inference(monotonicity,[status(thm)],[783])).
% 17.05/11.01 tff(785,plain,
% 17.05/11.01 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.01 inference(symmetry,[status(thm)],[784])).
% 17.05/11.01 tff(786,plain,
% 17.05/11.01 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.01 inference(monotonicity,[status(thm)],[785])).
% 17.05/11.01 tff(787,plain,
% 17.05/11.01 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.01 inference(symmetry,[status(thm)],[786])).
% 17.05/11.01 tff(788,plain,
% 17.05/11.01 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.05/11.01 inference(quant_inst,[status(thm)],[])).
% 17.05/11.01 tff(789,plain,
% 17.05/11.01 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.01 inference(unit_resolution,[status(thm)],[788, 7])).
% 17.05/11.01 tff(790,plain,
% 17.05/11.01 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.01 inference(symmetry,[status(thm)],[789])).
% 17.05/11.01 tff(791,plain,
% 17.05/11.01 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.01 inference(monotonicity,[status(thm)],[783])).
% 17.05/11.01 tff(792,plain,
% 17.05/11.01 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.01 inference(symmetry,[status(thm)],[791])).
% 17.05/11.01 tff(793,plain,
% 17.05/11.01 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.02 inference(monotonicity,[status(thm)],[792])).
% 17.05/11.02 tff(794,plain,
% 17.05/11.02 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.02 inference(monotonicity,[status(thm)],[270])).
% 17.05/11.02 tff(795,plain,
% 17.05/11.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.02 inference(quant_inst,[status(thm)],[])).
% 17.05/11.02 tff(796,plain,
% 17.05/11.02 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.02 inference(unit_resolution,[status(thm)],[795, 7])).
% 17.05/11.02 tff(797,plain,
% 17.05/11.02 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.02 inference(symmetry,[status(thm)],[796])).
% 17.05/11.02 tff(798,plain,
% 17.05/11.02 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.02 inference(transitivity,[status(thm)],[797, 794])).
% 17.05/11.02 tff(799,plain,
% 17.05/11.02 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.02 inference(monotonicity,[status(thm)],[798])).
% 17.05/11.02 tff(800,plain,
% 17.05/11.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.02 inference(quant_inst,[status(thm)],[])).
% 17.05/11.02 tff(801,plain,
% 17.05/11.02 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.02 inference(unit_resolution,[status(thm)],[800, 7])).
% 17.05/11.02 tff(802,plain,
% 17.05/11.02 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.02 inference(symmetry,[status(thm)],[801])).
% 17.05/11.02 tff(803,plain,
% 17.05/11.02 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.05/11.02 inference(quant_inst,[status(thm)],[])).
% 17.05/11.02 tff(804,plain,
% 17.05/11.02 (sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.03 inference(unit_resolution,[status(thm)],[803, 7])).
% 17.05/11.03 tff(805,plain,
% 17.05/11.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.03 inference(quant_inst,[status(thm)],[])).
% 17.05/11.03 tff(806,plain,
% 17.05/11.03 (sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 17.05/11.03 inference(unit_resolution,[status(thm)],[805, 7])).
% 17.05/11.03 tff(807,plain,
% 17.05/11.03 (sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 17.05/11.03 inference(symmetry,[status(thm)],[806])).
% 17.05/11.03 tff(808,plain,
% 17.05/11.03 (sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.03 inference(monotonicity,[status(thm)],[807])).
% 17.05/11.03 tff(809,plain,
% 17.05/11.03 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.03 inference(symmetry,[status(thm)],[808])).
% 17.05/11.03 tff(810,plain,
% 17.05/11.03 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.03 inference(transitivity,[status(thm)],[269, 809, 804])).
% 17.05/11.03 tff(811,plain,
% 17.05/11.03 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.05/11.03 inference(monotonicity,[status(thm)],[810])).
% 17.05/11.03 tff(812,plain,
% 17.05/11.03 (sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.05/11.03 inference(symmetry,[status(thm)],[811])).
% 17.05/11.03 tff(813,plain,
% 17.05/11.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.03 inference(quant_inst,[status(thm)],[])).
% 17.05/11.03 tff(814,plain,
% 17.05/11.03 (sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.05/11.03 inference(unit_resolution,[status(thm)],[813, 7])).
% 17.05/11.03 tff(815,plain,
% 17.05/11.03 (sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x11, x12), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.05/11.03 inference(symmetry,[status(thm)],[814])).
% 17.05/11.03 tff(816,plain,
% 17.05/11.03 (sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.05/11.03 inference(transitivity,[status(thm)],[815, 812])).
% 17.05/11.03 tff(817,plain,
% 17.05/11.03 (sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.03 inference(monotonicity,[status(thm)],[816])).
% 17.05/11.03 tff(818,plain,
% 17.05/11.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.03 inference(quant_inst,[status(thm)],[])).
% 17.05/11.03 tff(819,plain,
% 17.05/11.03 (sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.03 inference(unit_resolution,[status(thm)],[818, 7])).
% 17.05/11.03 tff(820,plain,
% 17.05/11.03 (sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x11, x12), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.03 inference(symmetry,[status(thm)],[819])).
% 17.05/11.03 tff(821,plain,
% 17.05/11.03 (sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.03 inference(transitivity,[status(thm)],[820, 817])).
% 17.05/11.03 tff(822,plain,
% 17.05/11.03 (sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.03 inference(monotonicity,[status(thm)],[821])).
% 17.05/11.03 tff(823,plain,
% 17.05/11.03 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.03 inference(quant_inst,[status(thm)],[])).
% 17.05/11.03 tff(824,plain,
% 17.05/11.03 (sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.03 inference(unit_resolution,[status(thm)],[823, 7])).
% 17.05/11.03 tff(825,plain,
% 17.05/11.03 (sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x11, x12), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.03 inference(symmetry,[status(thm)],[824])).
% 17.05/11.03 tff(826,plain,
% 17.05/11.03 (sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.05/11.03 inference(transitivity,[status(thm)],[825, 822, 802, 799])).
% 17.05/11.03 tff(827,plain,
% 17.05/11.03 (sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.04 inference(monotonicity,[status(thm)],[826])).
% 17.05/11.04 tff(828,plain,
% 17.05/11.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.04 inference(quant_inst,[status(thm)],[])).
% 17.05/11.04 tff(829,plain,
% 17.05/11.04 (sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.04 inference(unit_resolution,[status(thm)],[828, 7])).
% 17.05/11.04 tff(830,plain,
% 17.05/11.04 (sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x11, x12), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.04 inference(symmetry,[status(thm)],[829])).
% 17.05/11.04 tff(831,plain,
% 17.05/11.04 (sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.05/11.04 inference(transitivity,[status(thm)],[830, 827])).
% 17.05/11.04 tff(832,plain,
% 17.05/11.04 (sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.04 inference(monotonicity,[status(thm)],[831])).
% 17.05/11.04 tff(833,plain,
% 17.05/11.04 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.05/11.04 inference(quant_inst,[status(thm)],[])).
% 17.05/11.04 tff(834,plain,
% 17.05/11.04 (sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.04 inference(unit_resolution,[status(thm)],[833, 7])).
% 17.05/11.04 tff(835,plain,
% 17.05/11.04 (sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x11, x12), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.04 inference(symmetry,[status(thm)],[834])).
% 17.05/11.04 tff(836,plain,
% 17.05/11.04 (sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.05/11.05 inference(transitivity,[status(thm)],[835, 832, 793, 790, 787])).
% 17.05/11.05 tff(837,plain,
% 17.05/11.05 (sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.05/11.05 inference(monotonicity,[status(thm)],[836])).
% 17.05/11.05 tff(838,plain,
% 17.05/11.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.05/11.05 inference(quant_inst,[status(thm)],[])).
% 17.05/11.05 tff(839,plain,
% 17.05/11.05 (sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.05/11.05 inference(unit_resolution,[status(thm)],[838, 7])).
% 17.05/11.05 tff(840,plain,
% 17.05/11.05 (sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x1, x11), sep(lseg(x11, x12), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.05/11.05 inference(symmetry,[status(thm)],[839])).
% 17.05/11.05 tff(841,plain,
% 17.05/11.05 (sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.05/11.05 inference(transitivity,[status(thm)],[840, 837, 777, 763, 760])).
% 17.05/11.05 tff(842,plain,
% 17.05/11.05 (sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.05/11.05 inference(monotonicity,[status(thm)],[841])).
% 17.05/11.05 tff(843,plain,
% 17.05/11.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 17.05/11.05 inference(quant_inst,[status(thm)],[])).
% 17.05/11.05 tff(844,plain,
% 17.05/11.05 (sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.05/11.05 inference(unit_resolution,[status(thm)],[843, 7])).
% 17.05/11.05 tff(845,plain,
% 17.05/11.05 (sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x2, x9), sep(lseg(x11, x12), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.05/11.05 inference(symmetry,[status(thm)],[844])).
% 17.05/11.05 tff(846,plain,
% 17.05/11.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.05/11.05 inference(quant_inst,[status(thm)],[])).
% 17.05/11.05 tff(847,plain,
% 17.05/11.05 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.05/11.05 inference(unit_resolution,[status(thm)],[846, 7])).
% 17.05/11.05 tff(848,plain,
% 17.05/11.05 (sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))) = sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 17.05/11.05 inference(monotonicity,[status(thm)],[42])).
% 17.05/11.05 tff(849,plain,
% 17.05/11.05 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 17.05/11.05 inference(symmetry,[status(thm)],[848])).
% 17.05/11.05 tff(850,plain,
% 17.05/11.05 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.05/11.05 inference(monotonicity,[status(thm)],[849])).
% 17.05/11.05 tff(851,plain,
% 17.05/11.05 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.05 inference(symmetry,[status(thm)],[850])).
% 17.05/11.05 tff(852,plain,
% 17.05/11.05 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.05/11.05 inference(quant_inst,[status(thm)],[])).
% 17.05/11.05 tff(853,plain,
% 17.05/11.05 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.05/11.05 inference(unit_resolution,[status(thm)],[852, 7])).
% 17.05/11.05 tff(854,plain,
% 17.05/11.05 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.05/11.05 inference(symmetry,[status(thm)],[853])).
% 17.05/11.05 tff(855,plain,
% 17.05/11.05 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.05/11.06 inference(monotonicity,[status(thm)],[44])).
% 17.05/11.06 tff(856,plain,
% 17.05/11.06 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.06 inference(monotonicity,[status(thm)],[20])).
% 17.05/11.06 tff(857,plain,
% 17.05/11.06 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.05/11.06 inference(transitivity,[status(thm)],[856, 855, 854, 851])).
% 17.05/11.06 tff(858,plain,
% 17.05/11.06 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.05/11.06 inference(monotonicity,[status(thm)],[857])).
% 17.05/11.06 tff(859,plain,
% 17.05/11.06 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.05/11.06 inference(symmetry,[status(thm)],[858])).
% 17.05/11.06 tff(860,plain,
% 17.05/11.06 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.05/11.06 inference(transitivity,[status(thm)],[859, 847])).
% 17.05/11.06 tff(861,plain,
% 17.05/11.06 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.05/11.06 inference(monotonicity,[status(thm)],[860])).
% 17.05/11.06 tff(862,plain,
% 17.05/11.06 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.06 inference(symmetry,[status(thm)],[861])).
% 17.05/11.06 tff(863,plain,
% 17.05/11.06 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.05/11.06 inference(quant_inst,[status(thm)],[])).
% 17.05/11.06 tff(864,plain,
% 17.05/11.06 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.05/11.06 inference(unit_resolution,[status(thm)],[863, 7])).
% 17.05/11.06 tff(865,plain,
% 17.05/11.06 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.05/11.06 inference(symmetry,[status(thm)],[864])).
% 17.05/11.06 tff(866,plain,
% 17.05/11.06 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.05/11.06 inference(transitivity,[status(thm)],[865, 862])).
% 17.05/11.06 tff(867,plain,
% 17.05/11.06 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.07 inference(monotonicity,[status(thm)],[866])).
% 17.12/11.07 tff(868,plain,
% 17.12/11.07 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.12/11.07 inference(symmetry,[status(thm)],[867])).
% 17.12/11.07 tff(869,plain,
% 17.12/11.07 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.12/11.07 inference(monotonicity,[status(thm)],[868])).
% 17.12/11.07 tff(870,plain,
% 17.12/11.07 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.07 inference(symmetry,[status(thm)],[869])).
% 17.12/11.07 tff(871,plain,
% 17.12/11.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 17.12/11.07 inference(quant_inst,[status(thm)],[])).
% 17.12/11.07 tff(872,plain,
% 17.12/11.07 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.12/11.07 inference(unit_resolution,[status(thm)],[871, 7])).
% 17.12/11.07 tff(873,plain,
% 17.12/11.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.07 inference(quant_inst,[status(thm)],[])).
% 17.12/11.07 tff(874,plain,
% 17.12/11.07 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.12/11.07 inference(unit_resolution,[status(thm)],[873, 7])).
% 17.12/11.07 tff(875,plain,
% 17.12/11.07 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.12/11.07 inference(symmetry,[status(thm)],[874])).
% 17.12/11.07 tff(876,plain,
% 17.12/11.07 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.07 inference(transitivity,[status(thm)],[875, 48])).
% 17.12/11.07 tff(877,plain,
% 17.12/11.07 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.07 inference(monotonicity,[status(thm)],[876])).
% 17.12/11.07 tff(878,plain,
% 17.12/11.07 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.07 inference(monotonicity,[status(thm)],[877])).
% 17.12/11.07 tff(879,plain,
% 17.12/11.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.07 inference(quant_inst,[status(thm)],[])).
% 17.12/11.07 tff(880,plain,
% 17.12/11.07 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.07 inference(unit_resolution,[status(thm)],[879, 7])).
% 17.12/11.07 tff(881,plain,
% 17.12/11.07 (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.07 inference(monotonicity,[status(thm)],[876])).
% 17.12/11.07 tff(882,plain,
% 17.12/11.07 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.07 inference(symmetry,[status(thm)],[881])).
% 17.12/11.07 tff(883,plain,
% 17.12/11.07 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.07 inference(monotonicity,[status(thm)],[882])).
% 17.12/11.07 tff(884,plain,
% 17.12/11.07 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.12/11.07 inference(symmetry,[status(thm)],[32])).
% 17.12/11.07 tff(885,plain,
% 17.12/11.07 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.07 inference(transitivity,[status(thm)],[884, 34])).
% 17.12/11.07 tff(886,plain,
% 17.12/11.07 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.07 inference(monotonicity,[status(thm)],[885])).
% 17.12/11.07 tff(887,plain,
% 17.12/11.07 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.12/11.07 inference(quant_inst,[status(thm)],[])).
% 17.12/11.07 tff(888,plain,
% 17.12/11.07 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.12/11.08 inference(unit_resolution,[status(thm)],[887, 7])).
% 17.12/11.08 tff(889,plain,
% 17.12/11.08 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.12/11.08 inference(symmetry,[status(thm)],[888])).
% 17.12/11.08 tff(890,plain,
% 17.12/11.08 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.08 inference(transitivity,[status(thm)],[889, 886])).
% 17.12/11.08 tff(891,plain,
% 17.12/11.08 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.08 inference(monotonicity,[status(thm)],[890])).
% 17.12/11.08 tff(892,plain,
% 17.12/11.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.12/11.08 inference(quant_inst,[status(thm)],[])).
% 17.12/11.08 tff(893,plain,
% 17.12/11.08 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.12/11.08 inference(unit_resolution,[status(thm)],[892, 7])).
% 17.12/11.08 tff(894,plain,
% 17.12/11.08 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.12/11.08 inference(symmetry,[status(thm)],[893])).
% 17.12/11.08 tff(895,plain,
% 17.12/11.08 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.08 inference(transitivity,[status(thm)],[894, 891, 883, 880, 878])).
% 17.12/11.08 tff(896,plain,
% 17.12/11.08 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.08 inference(monotonicity,[status(thm)],[895])).
% 17.12/11.08 tff(897,plain,
% 17.12/11.08 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.12/11.08 inference(symmetry,[status(thm)],[896])).
% 17.12/11.08 tff(898,plain,
% 17.12/11.08 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.08 inference(transitivity,[status(thm)],[897, 872, 870])).
% 17.12/11.08 tff(899,plain,
% 17.12/11.08 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.08 inference(monotonicity,[status(thm)],[898])).
% 17.12/11.08 tff(900,plain,
% 17.12/11.08 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.08 inference(symmetry,[status(thm)],[899])).
% 17.12/11.08 tff(901,plain,
% 17.12/11.08 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.12/11.08 inference(quant_inst,[status(thm)],[])).
% 17.12/11.08 tff(902,plain,
% 17.12/11.08 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.09 inference(unit_resolution,[status(thm)],[901, 7])).
% 17.12/11.09 tff(903,plain,
% 17.12/11.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.09 inference(quant_inst,[status(thm)],[])).
% 17.12/11.09 tff(904,plain,
% 17.12/11.09 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.09 inference(unit_resolution,[status(thm)],[903, 7])).
% 17.12/11.09 tff(905,plain,
% 17.12/11.09 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.12/11.09 inference(transitivity,[status(thm)],[854, 851])).
% 17.12/11.09 tff(906,plain,
% 17.12/11.09 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.09 inference(monotonicity,[status(thm)],[905])).
% 17.12/11.09 tff(907,plain,
% 17.12/11.09 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.09 inference(monotonicity,[status(thm)],[906])).
% 17.12/11.09 tff(908,plain,
% 17.12/11.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.09 inference(quant_inst,[status(thm)],[])).
% 17.12/11.09 tff(909,plain,
% 17.12/11.09 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.09 inference(unit_resolution,[status(thm)],[908, 7])).
% 17.12/11.09 tff(910,plain,
% 17.12/11.09 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.09 inference(symmetry,[status(thm)],[909])).
% 17.12/11.09 tff(911,plain,
% 17.12/11.09 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.09 inference(transitivity,[status(thm)],[910, 907])).
% 17.12/11.09 tff(912,plain,
% 17.12/11.09 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.09 inference(monotonicity,[status(thm)],[911])).
% 17.12/11.09 tff(913,plain,
% 17.12/11.09 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.09 inference(symmetry,[status(thm)],[912])).
% 17.12/11.09 tff(914,plain,
% 17.12/11.09 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.09 inference(quant_inst,[status(thm)],[])).
% 17.12/11.09 tff(915,plain,
% 17.12/11.09 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.09 inference(unit_resolution,[status(thm)],[914, 7])).
% 17.12/11.09 tff(916,plain,
% 17.12/11.09 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.09 inference(symmetry,[status(thm)],[915])).
% 17.12/11.09 tff(917,plain,
% 17.12/11.09 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.09 inference(transitivity,[status(thm)],[916, 913, 904])).
% 17.12/11.09 tff(918,plain,
% 17.12/11.09 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(monotonicity,[status(thm)],[917])).
% 17.12/11.10 tff(919,plain,
% 17.12/11.10 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(symmetry,[status(thm)],[918])).
% 17.12/11.10 tff(920,plain,
% 17.12/11.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.10 inference(quant_inst,[status(thm)],[])).
% 17.12/11.10 tff(921,plain,
% 17.12/11.10 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(unit_resolution,[status(thm)],[920, 7])).
% 17.12/11.10 tff(922,plain,
% 17.12/11.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(quant_inst,[status(thm)],[])).
% 17.12/11.10 tff(923,plain,
% 17.12/11.10 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.10 inference(unit_resolution,[status(thm)],[922, 7])).
% 17.12/11.10 tff(924,plain,
% 17.12/11.10 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.10 inference(monotonicity,[status(thm)],[905])).
% 17.12/11.10 tff(925,plain,
% 17.12/11.10 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.10 inference(monotonicity,[status(thm)],[924])).
% 17.12/11.10 tff(926,plain,
% 17.12/11.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.10 inference(quant_inst,[status(thm)],[])).
% 17.12/11.10 tff(927,plain,
% 17.12/11.10 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.10 inference(unit_resolution,[status(thm)],[926, 7])).
% 17.12/11.10 tff(928,plain,
% 17.12/11.10 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.10 inference(symmetry,[status(thm)],[927])).
% 17.12/11.10 tff(929,plain,
% 17.12/11.10 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.10 inference(transitivity,[status(thm)],[928, 925])).
% 17.12/11.10 tff(930,plain,
% 17.12/11.10 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.10 inference(monotonicity,[status(thm)],[929])).
% 17.12/11.10 tff(931,plain,
% 17.12/11.10 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(quant_inst,[status(thm)],[])).
% 17.12/11.10 tff(932,plain,
% 17.12/11.10 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.10 inference(unit_resolution,[status(thm)],[931, 7])).
% 17.12/11.10 tff(933,plain,
% 17.12/11.10 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.10 inference(symmetry,[status(thm)],[932])).
% 17.12/11.10 tff(934,plain,
% 17.12/11.10 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.10 inference(transitivity,[status(thm)],[933, 930, 923])).
% 17.12/11.10 tff(935,plain,
% 17.12/11.10 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(monotonicity,[status(thm)],[934])).
% 17.12/11.10 tff(936,plain,
% 17.12/11.10 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(symmetry,[status(thm)],[935])).
% 17.12/11.10 tff(937,plain,
% 17.12/11.10 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.10 inference(transitivity,[status(thm)],[936, 921, 919])).
% 17.12/11.10 tff(938,plain,
% 17.12/11.10 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.11 inference(monotonicity,[status(thm)],[937])).
% 17.12/11.11 tff(939,plain,
% 17.12/11.11 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.11 inference(symmetry,[status(thm)],[938])).
% 17.12/11.11 tff(940,plain,
% 17.12/11.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.12/11.11 inference(quant_inst,[status(thm)],[])).
% 17.12/11.11 tff(941,plain,
% 17.12/11.11 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.11 inference(unit_resolution,[status(thm)],[940, 7])).
% 17.12/11.11 tff(942,plain,
% 17.12/11.11 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.11 inference(symmetry,[status(thm)],[941])).
% 17.12/11.11 tff(943,plain,
% 17.12/11.11 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.11 inference(monotonicity,[status(thm)],[55])).
% 17.12/11.11 tff(944,plain,
% 17.12/11.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.11 inference(quant_inst,[status(thm)],[])).
% 17.12/11.11 tff(945,plain,
% 17.12/11.11 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.12/11.11 inference(unit_resolution,[status(thm)],[944, 7])).
% 17.12/11.11 tff(946,plain,
% 17.12/11.11 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.12/11.11 inference(symmetry,[status(thm)],[945])).
% 17.12/11.11 tff(947,plain,
% 17.12/11.11 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.12/11.11 inference(quant_inst,[status(thm)],[])).
% 17.12/11.11 tff(948,plain,
% 17.12/11.11 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.12/11.12 inference(unit_resolution,[status(thm)],[947, 7])).
% 17.12/11.12 tff(949,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[849])).
% 17.12/11.12 tff(950,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.12/11.12 inference(transitivity,[status(thm)],[949, 948])).
% 17.12/11.12 tff(951,plain,
% 17.12/11.12 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[950])).
% 17.12/11.12 tff(952,plain,
% 17.12/11.12 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))) = sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[14])).
% 17.12/11.12 tff(953,plain,
% 17.12/11.12 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 17.12/11.12 inference(symmetry,[status(thm)],[952])).
% 17.12/11.12 tff(954,plain,
% 17.12/11.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.12/11.12 inference(quant_inst,[status(thm)],[])).
% 17.12/11.12 tff(955,plain,
% 17.12/11.12 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.12/11.12 inference(unit_resolution,[status(thm)],[954, 7])).
% 17.12/11.12 tff(956,plain,
% 17.12/11.12 (sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.12/11.12 inference(symmetry,[status(thm)],[955])).
% 17.12/11.12 tff(957,plain,
% 17.12/11.12 (sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))),
% 17.12/11.12 inference(transitivity,[status(thm)],[956, 953])).
% 17.12/11.12 tff(958,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[957])).
% 17.12/11.12 tff(959,plain,
% 17.12/11.12 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[958])).
% 17.12/11.12 tff(960,plain,
% 17.12/11.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.12/11.12 inference(quant_inst,[status(thm)],[])).
% 17.12/11.12 tff(961,plain,
% 17.12/11.12 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.12/11.12 inference(unit_resolution,[status(thm)],[960, 7])).
% 17.12/11.12 tff(962,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.12/11.12 inference(symmetry,[status(thm)],[961])).
% 17.12/11.12 tff(963,plain,
% 17.12/11.12 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[957])).
% 17.12/11.12 tff(964,plain,
% 17.12/11.12 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.12/11.12 inference(symmetry,[status(thm)],[963])).
% 17.12/11.12 tff(965,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[964])).
% 17.12/11.12 tff(966,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[905])).
% 17.12/11.12 tff(967,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.12 inference(transitivity,[status(thm)],[966, 965, 962, 959, 951, 946, 943])).
% 17.12/11.12 tff(968,plain,
% 17.12/11.12 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[967])).
% 17.12/11.12 tff(969,plain,
% 17.12/11.12 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.12 inference(quant_inst,[status(thm)],[])).
% 17.12/11.12 tff(970,plain,
% 17.12/11.12 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.12 inference(unit_resolution,[status(thm)],[969, 7])).
% 17.12/11.12 tff(971,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.12 inference(symmetry,[status(thm)],[970])).
% 17.12/11.12 tff(972,plain,
% 17.12/11.12 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.12/11.12 inference(symmetry,[status(thm)],[906])).
% 17.12/11.12 tff(973,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.12 inference(monotonicity,[status(thm)],[972])).
% 17.12/11.12 tff(974,plain,
% 17.12/11.12 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.13 inference(transitivity,[status(thm)],[973, 971, 968])).
% 17.12/11.13 tff(975,plain,
% 17.12/11.13 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.13 inference(monotonicity,[status(thm)],[974])).
% 17.12/11.13 tff(976,plain,
% 17.12/11.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.13 inference(quant_inst,[status(thm)],[])).
% 17.12/11.13 tff(977,plain,
% 17.12/11.13 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.13 inference(unit_resolution,[status(thm)],[976, 7])).
% 17.12/11.13 tff(978,plain,
% 17.12/11.13 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.13 inference(monotonicity,[status(thm)],[911])).
% 17.12/11.13 tff(979,plain,
% 17.12/11.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.13 inference(quant_inst,[status(thm)],[])).
% 17.12/11.13 tff(980,plain,
% 17.12/11.13 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.13 inference(unit_resolution,[status(thm)],[979, 7])).
% 17.12/11.13 tff(981,plain,
% 17.12/11.13 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.13 inference(symmetry,[status(thm)],[980])).
% 17.12/11.13 tff(982,plain,
% 17.12/11.13 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.13 inference(quant_inst,[status(thm)],[])).
% 17.12/11.13 tff(983,plain,
% 17.12/11.13 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.13 inference(unit_resolution,[status(thm)],[982, 7])).
% 17.12/11.13 tff(984,plain,
% 17.12/11.13 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.14 inference(monotonicity,[status(thm)],[967])).
% 17.12/11.14 tff(985,plain,
% 17.12/11.14 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.14 inference(symmetry,[status(thm)],[984])).
% 17.12/11.14 tff(986,plain,
% 17.12/11.14 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.14 inference(transitivity,[status(thm)],[985, 983])).
% 17.12/11.14 tff(987,plain,
% 17.12/11.14 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.14 inference(monotonicity,[status(thm)],[986])).
% 17.12/11.14 tff(988,plain,
% 17.12/11.14 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.14 inference(transitivity,[status(thm)],[987, 981, 978, 977, 975])).
% 17.12/11.14 tff(989,plain,
% 17.12/11.14 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.14 inference(monotonicity,[status(thm)],[988])).
% 17.12/11.14 tff(990,plain,
% 17.12/11.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.14 inference(quant_inst,[status(thm)],[])).
% 17.12/11.14 tff(991,plain,
% 17.12/11.14 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.14 inference(unit_resolution,[status(thm)],[990, 7])).
% 17.12/11.14 tff(992,plain,
% 17.12/11.14 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.14 inference(symmetry,[status(thm)],[983])).
% 17.12/11.14 tff(993,plain,
% 17.12/11.14 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.14 inference(transitivity,[status(thm)],[992, 984])).
% 17.12/11.14 tff(994,plain,
% 17.12/11.14 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.14 inference(monotonicity,[status(thm)],[993])).
% 17.12/11.14 tff(995,plain,
% 17.12/11.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.14 inference(quant_inst,[status(thm)],[])).
% 17.12/11.14 tff(996,plain,
% 17.12/11.14 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.14 inference(unit_resolution,[status(thm)],[995, 7])).
% 17.12/11.14 tff(997,plain,
% 17.12/11.14 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.14 inference(symmetry,[status(thm)],[996])).
% 17.12/11.14 tff(998,plain,
% 17.12/11.14 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.14 inference(transitivity,[status(thm)],[997, 994])).
% 17.12/11.14 tff(999,plain,
% 17.12/11.14 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.14 inference(monotonicity,[status(thm)],[998])).
% 17.12/11.14 tff(1000,plain,
% 17.12/11.14 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.14 inference(quant_inst,[status(thm)],[])).
% 17.12/11.14 tff(1001,plain,
% 17.12/11.14 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.14 inference(unit_resolution,[status(thm)],[1000, 7])).
% 17.12/11.14 tff(1002,plain,
% 17.12/11.14 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.14 inference(symmetry,[status(thm)],[1001])).
% 17.12/11.14 tff(1003,plain,
% 17.12/11.14 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.14 inference(monotonicity,[status(thm)],[917])).
% 17.12/11.14 tff(1004,plain,
% 17.12/11.14 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.15 inference(transitivity,[status(thm)],[1003, 1002, 999, 991, 989])).
% 17.12/11.15 tff(1005,plain,
% 17.12/11.15 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.15 inference(monotonicity,[status(thm)],[1004])).
% 17.12/11.15 tff(1006,plain,
% 17.12/11.15 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.15 inference(symmetry,[status(thm)],[1005])).
% 17.12/11.15 tff(1007,plain,
% 17.12/11.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.12/11.15 inference(quant_inst,[status(thm)],[])).
% 17.12/11.15 tff(1008,plain,
% 17.12/11.15 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.15 inference(unit_resolution,[status(thm)],[1007, 7])).
% 17.12/11.15 tff(1009,plain,
% 17.12/11.15 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.12/11.15 inference(transitivity,[status(thm)],[946, 943])).
% 17.12/11.15 tff(1010,plain,
% 17.12/11.15 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.15 inference(monotonicity,[status(thm)],[1009])).
% 17.12/11.15 tff(1011,plain,
% 17.12/11.15 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.15 inference(quant_inst,[status(thm)],[])).
% 17.12/11.15 tff(1012,plain,
% 17.12/11.15 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.15 inference(unit_resolution,[status(thm)],[1011, 7])).
% 17.12/11.15 tff(1013,plain,
% 17.12/11.15 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.16 inference(symmetry,[status(thm)],[1012])).
% 17.12/11.16 tff(1014,plain,
% 17.12/11.16 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.12/11.16 inference(transitivity,[status(thm)],[1013, 1010])).
% 17.12/11.16 tff(1015,plain,
% 17.12/11.16 (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.16 inference(monotonicity,[status(thm)],[1014])).
% 17.12/11.16 tff(1016,plain,
% 17.12/11.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.16 inference(quant_inst,[status(thm)],[])).
% 17.12/11.16 tff(1017,plain,
% 17.12/11.16 (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.16 inference(unit_resolution,[status(thm)],[1016, 7])).
% 17.12/11.16 tff(1018,plain,
% 17.12/11.16 (sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.16 inference(symmetry,[status(thm)],[1017])).
% 17.12/11.16 tff(1019,plain,
% 17.12/11.16 (sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.12/11.16 inference(transitivity,[status(thm)],[1018, 1015])).
% 17.12/11.16 tff(1020,plain,
% 17.12/11.16 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.16 inference(monotonicity,[status(thm)],[1019])).
% 17.12/11.16 tff(1021,plain,
% 17.12/11.16 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.16 inference(symmetry,[status(thm)],[1020])).
% 17.12/11.16 tff(1022,plain,
% 17.12/11.16 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.12/11.16 inference(symmetry,[status(thm)],[991])).
% 17.12/11.16 tff(1023,plain,
% 17.12/11.16 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.16 inference(symmetry,[status(thm)],[989])).
% 17.22/11.16 tff(1024,plain,
% 17.22/11.16 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.16 inference(transitivity,[status(thm)],[1023, 1022, 1021, 1008])).
% 17.22/11.16 tff(1025,plain,
% 17.22/11.16 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.22/11.16 inference(monotonicity,[status(thm)],[1024])).
% 17.22/11.16 tff(1026,plain,
% 17.22/11.16 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.22/11.16 inference(symmetry,[status(thm)],[1025])).
% 17.22/11.16 tff(1027,plain,
% 17.22/11.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))),
% 17.22/11.16 inference(quant_inst,[status(thm)],[])).
% 17.22/11.16 tff(1028,plain,
% 17.22/11.16 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.22/11.16 inference(unit_resolution,[status(thm)],[1027, 7])).
% 17.22/11.16 tff(1029,plain,
% 17.22/11.16 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.16 inference(quant_inst,[status(thm)],[])).
% 17.22/11.16 tff(1030,plain,
% 17.22/11.16 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.16 inference(unit_resolution,[status(thm)],[1029, 7])).
% 17.22/11.16 tff(1031,plain,
% 17.22/11.16 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.22/11.16 inference(symmetry,[status(thm)],[949])).
% 17.22/11.16 tff(1032,plain,
% 17.22/11.16 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.22/11.16 inference(symmetry,[status(thm)],[948])).
% 17.22/11.16 tff(1033,plain,
% 17.22/11.16 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.22/11.17 inference(transitivity,[status(thm)],[1032, 1031])).
% 17.22/11.17 tff(1034,plain,
% 17.22/11.17 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.22/11.17 inference(monotonicity,[status(thm)],[1033])).
% 17.22/11.17 tff(1035,plain,
% 17.22/11.17 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.22/11.17 inference(symmetry,[status(thm)],[1034])).
% 17.22/11.17 tff(1036,plain,
% 17.22/11.17 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.17 inference(monotonicity,[status(thm)],[1035])).
% 17.22/11.17 tff(1037,plain,
% 17.22/11.17 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.17 inference(transitivity,[status(thm)],[1036, 1030])).
% 17.22/11.17 tff(1038,plain,
% 17.22/11.17 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.17 inference(monotonicity,[status(thm)],[1037])).
% 17.22/11.17 tff(1039,plain,
% 17.22/11.17 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.17 inference(symmetry,[status(thm)],[1038])).
% 17.22/11.17 tff(1040,plain,
% 17.22/11.17 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.17 inference(quant_inst,[status(thm)],[])).
% 17.22/11.17 tff(1041,plain,
% 17.22/11.17 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.17 inference(unit_resolution,[status(thm)],[1040, 7])).
% 17.22/11.17 tff(1042,plain,
% 17.22/11.17 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.17 inference(symmetry,[status(thm)],[1041])).
% 17.22/11.17 tff(1043,plain,
% 17.22/11.17 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.17 inference(transitivity,[status(thm)],[1042, 1039])).
% 17.22/11.17 tff(1044,plain,
% 17.22/11.17 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.18 inference(monotonicity,[status(thm)],[1043])).
% 17.22/11.18 tff(1045,plain,
% 17.22/11.18 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.22/11.18 inference(monotonicity,[status(thm)],[1044])).
% 17.22/11.18 tff(1046,plain,
% 17.22/11.18 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.22/11.18 inference(symmetry,[status(thm)],[1045])).
% 17.22/11.18 tff(1047,plain,
% 17.22/11.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.22/11.18 inference(quant_inst,[status(thm)],[])).
% 17.22/11.18 tff(1048,plain,
% 17.22/11.18 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.18 inference(unit_resolution,[status(thm)],[1047, 7])).
% 17.22/11.18 tff(1049,plain,
% 17.22/11.18 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.22/11.18 inference(monotonicity,[status(thm)],[1033])).
% 17.22/11.18 tff(1050,plain,
% 17.22/11.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.18 inference(quant_inst,[status(thm)],[])).
% 17.22/11.18 tff(1051,plain,
% 17.22/11.18 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.22/11.18 inference(unit_resolution,[status(thm)],[1050, 7])).
% 17.22/11.18 tff(1052,plain,
% 17.22/11.18 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.22/11.18 inference(symmetry,[status(thm)],[1051])).
% 17.22/11.18 tff(1053,plain,
% 17.22/11.18 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.22/11.18 inference(transitivity,[status(thm)],[1052, 1049])).
% 17.22/11.18 tff(1054,plain,
% 17.22/11.18 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.18 inference(monotonicity,[status(thm)],[1053])).
% 17.22/11.18 tff(1055,plain,
% 17.22/11.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.18 inference(quant_inst,[status(thm)],[])).
% 17.22/11.18 tff(1056,plain,
% 17.22/11.18 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.18 inference(unit_resolution,[status(thm)],[1055, 7])).
% 17.22/11.18 tff(1057,plain,
% 17.22/11.18 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.18 inference(symmetry,[status(thm)],[1056])).
% 17.22/11.18 tff(1058,plain,
% 17.22/11.18 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.18 inference(transitivity,[status(thm)],[1057, 1054])).
% 17.22/11.18 tff(1059,plain,
% 17.22/11.18 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.18 inference(monotonicity,[status(thm)],[1058])).
% 17.22/11.18 tff(1060,plain,
% 17.22/11.18 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.18 inference(quant_inst,[status(thm)],[])).
% 17.22/11.18 tff(1061,plain,
% 17.22/11.18 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.18 inference(unit_resolution,[status(thm)],[1060, 7])).
% 17.22/11.18 tff(1062,plain,
% 17.22/11.18 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.18 inference(symmetry,[status(thm)],[1061])).
% 17.22/11.18 tff(1063,plain,
% 17.22/11.18 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.18 inference(transitivity,[status(thm)],[1062, 1059])).
% 17.22/11.18 tff(1064,plain,
% 17.22/11.18 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.19 inference(monotonicity,[status(thm)],[1063])).
% 17.22/11.19 tff(1065,plain,
% 17.22/11.19 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1064])).
% 17.22/11.19 tff(1066,plain,
% 17.22/11.19 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.19 inference(monotonicity,[status(thm)],[1035])).
% 17.22/11.19 tff(1067,plain,
% 17.22/11.19 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1066])).
% 17.22/11.19 tff(1068,plain,
% 17.22/11.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.19 inference(quant_inst,[status(thm)],[])).
% 17.22/11.19 tff(1069,plain,
% 17.22/11.19 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.19 inference(unit_resolution,[status(thm)],[1068, 7])).
% 17.22/11.19 tff(1070,plain,
% 17.22/11.19 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1069])).
% 17.22/11.19 tff(1071,plain,
% 17.22/11.19 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.19 inference(transitivity,[status(thm)],[1070, 1067])).
% 17.22/11.19 tff(1072,plain,
% 17.22/11.19 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.19 inference(monotonicity,[status(thm)],[1071])).
% 17.22/11.19 tff(1073,plain,
% 17.22/11.19 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1072])).
% 17.22/11.19 tff(1074,plain,
% 17.22/11.19 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[958])).
% 17.22/11.19 tff(1075,plain,
% 17.22/11.19 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.22/11.19 inference(transitivity,[status(thm)],[1032, 1031, 1074])).
% 17.22/11.19 tff(1076,plain,
% 17.22/11.19 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.22/11.19 inference(monotonicity,[status(thm)],[1075])).
% 17.22/11.19 tff(1077,plain,
% 17.22/11.19 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1076])).
% 17.22/11.19 tff(1078,plain,
% 17.22/11.19 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.22/11.19 inference(quant_inst,[status(thm)],[])).
% 17.22/11.19 tff(1079,plain,
% 17.22/11.19 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.22/11.19 inference(unit_resolution,[status(thm)],[1078, 7])).
% 17.22/11.19 tff(1080,plain,
% 17.22/11.19 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1079])).
% 17.22/11.19 tff(1081,plain,
% 17.22/11.19 (sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.22/11.19 inference(transitivity,[status(thm)],[1080, 1077])).
% 17.22/11.19 tff(1082,plain,
% 17.22/11.19 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.22/11.19 inference(monotonicity,[status(thm)],[1081])).
% 17.22/11.19 tff(1083,plain,
% 17.22/11.19 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1082])).
% 17.22/11.19 tff(1084,plain,
% 17.22/11.19 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.22/11.19 inference(transitivity,[status(thm)],[1066, 1069, 1083])).
% 17.22/11.19 tff(1085,plain,
% 17.22/11.19 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.22/11.19 inference(monotonicity,[status(thm)],[1084])).
% 17.22/11.19 tff(1086,plain,
% 17.22/11.19 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.22/11.19 inference(symmetry,[status(thm)],[1085])).
% 17.22/11.19 tff(1087,plain,
% 17.25/11.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.25/11.20 inference(quant_inst,[status(thm)],[])).
% 17.25/11.20 tff(1088,plain,
% 17.25/11.20 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.25/11.20 inference(unit_resolution,[status(thm)],[1087, 7])).
% 17.25/11.20 tff(1089,plain,
% 17.25/11.20 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.25/11.20 inference(symmetry,[status(thm)],[1049])).
% 17.25/11.20 tff(1090,plain,
% 17.25/11.20 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.20 inference(monotonicity,[status(thm)],[1089])).
% 17.25/11.20 tff(1091,plain,
% 17.25/11.20 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.20 inference(symmetry,[status(thm)],[1090])).
% 17.25/11.20 tff(1092,plain,
% 17.25/11.20 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.20 inference(quant_inst,[status(thm)],[])).
% 17.25/11.20 tff(1093,plain,
% 17.25/11.20 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.20 inference(unit_resolution,[status(thm)],[1092, 7])).
% 17.25/11.20 tff(1094,plain,
% 17.25/11.20 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.20 inference(symmetry,[status(thm)],[1093])).
% 17.25/11.20 tff(1095,plain,
% 17.25/11.20 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.20 inference(monotonicity,[status(thm)],[1081])).
% 17.25/11.20 tff(1096,plain,
% 17.25/11.20 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.20 inference(transitivity,[status(thm)],[1095, 1094, 1091])).
% 17.25/11.20 tff(1097,plain,
% 17.25/11.20 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.21 inference(monotonicity,[status(thm)],[1096])).
% 17.25/11.21 tff(1098,plain,
% 17.25/11.21 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x10, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.25/11.21 inference(symmetry,[status(thm)],[1097])).
% 17.25/11.21 tff(1099,plain,
% 17.25/11.21 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.21 inference(transitivity,[status(thm)],[1098, 1088, 1086, 1073])).
% 17.25/11.21 tff(1100,plain,
% 17.25/11.21 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.25/11.21 inference(monotonicity,[status(thm)],[1099])).
% 17.25/11.21 tff(1101,plain,
% 17.25/11.21 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.25/11.21 inference(symmetry,[status(thm)],[1100])).
% 17.25/11.21 tff(1102,plain,
% 17.25/11.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.25/11.21 inference(quant_inst,[status(thm)],[])).
% 17.25/11.21 tff(1103,plain,
% 17.25/11.21 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.25/11.21 inference(unit_resolution,[status(thm)],[1102, 7])).
% 17.25/11.21 tff(1104,plain,
% 17.25/11.21 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.25/11.21 inference(monotonicity,[status(thm)],[1074])).
% 17.25/11.21 tff(1105,plain,
% 17.25/11.21 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.25/11.21 inference(symmetry,[status(thm)],[1104])).
% 17.25/11.21 tff(1106,plain,
% 17.25/11.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.25/11.21 inference(quant_inst,[status(thm)],[])).
% 17.25/11.21 tff(1107,plain,
% 17.25/11.21 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.25/11.21 inference(unit_resolution,[status(thm)],[1106, 7])).
% 17.25/11.21 tff(1108,plain,
% 17.25/11.21 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.25/11.21 inference(symmetry,[status(thm)],[1107])).
% 17.25/11.21 tff(1109,plain,
% 17.25/11.21 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.25/11.21 inference(transitivity,[status(thm)],[1108, 1105])).
% 17.25/11.21 tff(1110,plain,
% 17.25/11.21 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.21 inference(monotonicity,[status(thm)],[1109])).
% 17.25/11.21 tff(1111,plain,
% 17.25/11.21 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.21 inference(monotonicity,[status(thm)],[1110])).
% 17.25/11.21 tff(1112,plain,
% 17.25/11.21 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.25/11.21 inference(quant_inst,[status(thm)],[])).
% 17.25/11.21 tff(1113,plain,
% 17.25/11.21 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.25/11.21 inference(unit_resolution,[status(thm)],[1112, 7])).
% 17.25/11.21 tff(1114,plain,
% 17.25/11.21 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.25/11.21 inference(symmetry,[status(thm)],[1113])).
% 17.25/11.21 tff(1115,plain,
% 17.25/11.21 (sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.21 inference(monotonicity,[status(thm)],[1109])).
% 17.25/11.21 tff(1116,plain,
% 17.25/11.21 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.25/11.21 inference(symmetry,[status(thm)],[1115])).
% 17.25/11.21 tff(1117,plain,
% 17.25/11.21 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.25/11.21 inference(monotonicity,[status(thm)],[1116])).
% 17.25/11.21 tff(1118,plain,
% 17.25/11.21 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.22 inference(monotonicity,[status(thm)],[1071])).
% 17.25/11.22 tff(1119,plain,
% 17.25/11.22 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.22 inference(transitivity,[status(thm)],[1118, 1117, 1114, 1111])).
% 17.25/11.22 tff(1120,plain,
% 17.25/11.22 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.25/11.22 inference(monotonicity,[status(thm)],[1119])).
% 17.25/11.22 tff(1121,plain,
% 17.25/11.22 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.25/11.22 inference(symmetry,[status(thm)],[1120])).
% 17.25/11.22 tff(1122,plain,
% 17.25/11.22 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.25/11.22 inference(transitivity,[status(thm)],[1121, 1103, 1101, 1065, 1048])).
% 17.25/11.22 tff(1123,plain,
% 17.25/11.22 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.25/11.22 inference(monotonicity,[status(thm)],[1122])).
% 17.25/11.22 tff(1124,plain,
% 17.25/11.22 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.25/11.22 inference(symmetry,[status(thm)],[1123])).
% 17.25/11.22 tff(1125,plain,
% 17.25/11.22 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))),
% 17.25/11.22 inference(quant_inst,[status(thm)],[])).
% 17.25/11.22 tff(1126,plain,
% 17.25/11.22 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.25/11.22 inference(unit_resolution,[status(thm)],[1125, 7])).
% 17.25/11.22 tff(1127,plain,
% 17.25/11.22 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.25/11.23 inference(symmetry,[status(thm)],[79])).
% 17.25/11.23 tff(1128,plain,
% 17.25/11.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.23 inference(quant_inst,[status(thm)],[])).
% 17.25/11.23 tff(1129,plain,
% 17.25/11.23 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.25/11.23 inference(unit_resolution,[status(thm)],[1128, 7])).
% 17.25/11.23 tff(1130,plain,
% 17.25/11.23 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.25/11.23 inference(symmetry,[status(thm)],[1129])).
% 17.25/11.23 tff(1131,plain,
% 17.25/11.23 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.25/11.23 inference(transitivity,[status(thm)],[1130, 1127])).
% 17.25/11.23 tff(1132,plain,
% 17.25/11.23 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.23 inference(monotonicity,[status(thm)],[1131])).
% 17.25/11.23 tff(1133,plain,
% 17.25/11.23 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.25/11.23 inference(symmetry,[status(thm)],[1132])).
% 17.25/11.23 tff(1134,plain,
% 17.25/11.23 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.23 inference(monotonicity,[status(thm)],[1133])).
% 17.25/11.23 tff(1135,plain,
% 17.25/11.23 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.23 inference(symmetry,[status(thm)],[1134])).
% 17.25/11.23 tff(1136,plain,
% 17.25/11.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.25/11.23 inference(quant_inst,[status(thm)],[])).
% 17.25/11.23 tff(1137,plain,
% 17.25/11.23 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.25/11.23 inference(unit_resolution,[status(thm)],[1136, 7])).
% 17.25/11.23 tff(1138,plain,
% 17.25/11.23 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.23 inference(symmetry,[status(thm)],[1137])).
% 17.29/11.23 tff(1139,plain,
% 17.29/11.23 (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.23 inference(monotonicity,[status(thm)],[1131])).
% 17.29/11.23 tff(1140,plain,
% 17.29/11.23 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.23 inference(symmetry,[status(thm)],[1139])).
% 17.29/11.23 tff(1141,plain,
% 17.29/11.23 (sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.23 inference(monotonicity,[status(thm)],[1140])).
% 17.29/11.23 tff(1142,plain,
% 17.29/11.23 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.23 inference(monotonicity,[status(thm)],[79])).
% 17.29/11.23 tff(1143,plain,
% 17.29/11.23 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.23 inference(symmetry,[status(thm)],[1142])).
% 17.29/11.23 tff(1144,plain,
% 17.29/11.23 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.23 inference(quant_inst,[status(thm)],[])).
% 17.29/11.23 tff(1145,plain,
% 17.29/11.23 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.23 inference(unit_resolution,[status(thm)],[1144, 7])).
% 17.29/11.23 tff(1146,plain,
% 17.29/11.23 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.23 inference(symmetry,[status(thm)],[1145])).
% 17.29/11.23 tff(1147,plain,
% 17.29/11.23 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.23 inference(transitivity,[status(thm)],[1146, 1143])).
% 17.29/11.23 tff(1148,plain,
% 17.29/11.23 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.23 inference(monotonicity,[status(thm)],[1147])).
% 17.29/11.23 tff(1149,plain,
% 17.29/11.23 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.24 inference(transitivity,[status(thm)],[1148, 1141, 1138, 1135])).
% 17.29/11.24 tff(1150,plain,
% 17.29/11.24 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.24 inference(monotonicity,[status(thm)],[1149])).
% 17.29/11.24 tff(1151,plain,
% 17.29/11.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.24 inference(quant_inst,[status(thm)],[])).
% 17.29/11.24 tff(1152,plain,
% 17.29/11.24 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.24 inference(unit_resolution,[status(thm)],[1151, 7])).
% 17.29/11.24 tff(1153,plain,
% 17.29/11.24 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.24 inference(symmetry,[status(thm)],[1152])).
% 17.29/11.24 tff(1154,plain,
% 17.29/11.24 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.24 inference(monotonicity,[status(thm)],[1147])).
% 17.29/11.24 tff(1155,plain,
% 17.29/11.24 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.24 inference(symmetry,[status(thm)],[1154])).
% 17.29/11.24 tff(1156,plain,
% 17.29/11.24 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.24 inference(monotonicity,[status(thm)],[1140])).
% 17.29/11.24 tff(1157,plain,
% 17.29/11.24 (sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.24 inference(symmetry,[status(thm)],[1156])).
% 17.29/11.24 tff(1158,plain,
% 17.29/11.24 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.25 inference(quant_inst,[status(thm)],[])).
% 17.29/11.25 tff(1159,plain,
% 17.29/11.25 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(unit_resolution,[status(thm)],[1158, 7])).
% 17.29/11.25 tff(1160,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[47])).
% 17.29/11.25 tff(1161,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(symmetry,[status(thm)],[1160])).
% 17.29/11.25 tff(1162,plain,
% 17.29/11.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(quant_inst,[status(thm)],[])).
% 17.29/11.25 tff(1163,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(unit_resolution,[status(thm)],[1162, 7])).
% 17.29/11.25 tff(1164,plain,
% 17.29/11.25 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(symmetry,[status(thm)],[1163])).
% 17.29/11.25 tff(1165,plain,
% 17.29/11.25 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[79])).
% 17.29/11.25 tff(1166,plain,
% 17.29/11.25 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[1131])).
% 17.29/11.25 tff(1167,plain,
% 17.29/11.25 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(transitivity,[status(thm)],[1166, 1165, 1164, 1161])).
% 17.29/11.25 tff(1168,plain,
% 17.29/11.25 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[1167])).
% 17.29/11.25 tff(1169,plain,
% 17.29/11.25 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(symmetry,[status(thm)],[1168])).
% 17.29/11.25 tff(1170,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[876])).
% 17.29/11.25 tff(1171,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.25 inference(symmetry,[status(thm)],[1170])).
% 17.29/11.25 tff(1172,plain,
% 17.29/11.25 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[1171])).
% 17.29/11.25 tff(1173,plain,
% 17.29/11.25 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(symmetry,[status(thm)],[1172])).
% 17.29/11.25 tff(1174,plain,
% 17.29/11.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.25 inference(quant_inst,[status(thm)],[])).
% 17.29/11.25 tff(1175,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(unit_resolution,[status(thm)],[1174, 7])).
% 17.29/11.25 tff(1176,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[882])).
% 17.29/11.25 tff(1177,plain,
% 17.29/11.25 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.25 inference(transitivity,[status(thm)],[1176, 1175, 1173, 1169, 1159, 1157, 1155])).
% 17.29/11.25 tff(1178,plain,
% 17.29/11.25 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.25 inference(monotonicity,[status(thm)],[1177])).
% 17.29/11.25 tff(1179,plain,
% 17.29/11.25 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.26 inference(quant_inst,[status(thm)],[])).
% 17.29/11.26 tff(1180,plain,
% 17.29/11.26 (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.26 inference(unit_resolution,[status(thm)],[1179, 7])).
% 17.29/11.26 tff(1181,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.26 inference(symmetry,[status(thm)],[1180])).
% 17.29/11.26 tff(1182,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.26 inference(transitivity,[status(thm)],[1181, 881])).
% 17.29/11.26 tff(1183,plain,
% 17.29/11.26 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.26 inference(monotonicity,[status(thm)],[1182])).
% 17.29/11.26 tff(1184,plain,
% 17.29/11.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.26 inference(quant_inst,[status(thm)],[])).
% 17.29/11.26 tff(1185,plain,
% 17.29/11.26 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.26 inference(unit_resolution,[status(thm)],[1184, 7])).
% 17.29/11.26 tff(1186,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.26 inference(symmetry,[status(thm)],[1185])).
% 17.29/11.26 tff(1187,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.26 inference(transitivity,[status(thm)],[1186, 1183])).
% 17.29/11.26 tff(1188,plain,
% 17.29/11.26 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.26 inference(monotonicity,[status(thm)],[1187])).
% 17.29/11.26 tff(1189,plain,
% 17.29/11.26 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.26 inference(quant_inst,[status(thm)],[])).
% 17.29/11.26 tff(1190,plain,
% 17.29/11.26 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.26 inference(unit_resolution,[status(thm)],[1189, 7])).
% 17.29/11.26 tff(1191,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.26 inference(symmetry,[status(thm)],[1190])).
% 17.29/11.26 tff(1192,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.26 inference(transitivity,[status(thm)],[1191, 1188, 1178, 1153, 1150])).
% 17.29/11.26 tff(1193,plain,
% 17.29/11.26 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.26 inference(monotonicity,[status(thm)],[1192])).
% 17.29/11.26 tff(1194,plain,
% 17.29/11.26 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.26 inference(symmetry,[status(thm)],[1193])).
% 17.29/11.26 tff(1195,plain,
% 17.29/11.26 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.26 inference(transitivity,[status(thm)],[1194, 1126, 1124, 1046, 1028, 1026, 1006, 942, 939, 902, 900])).
% 17.29/11.26 tff(1196,plain,
% 17.29/11.26 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.29/11.26 inference(monotonicity,[status(thm)],[1195])).
% 17.29/11.26 tff(1197,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.26 inference(symmetry,[status(thm)],[1126])).
% 17.29/11.26 tff(1198,plain,
% 17.29/11.26 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.27 inference(transitivity,[status(thm)],[1123, 1197, 1193])).
% 17.29/11.27 tff(1199,plain,
% 17.29/11.27 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.29/11.27 inference(monotonicity,[status(thm)],[1198])).
% 17.29/11.27 tff(1200,plain,
% 17.29/11.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.29/11.27 inference(quant_inst,[status(thm)],[])).
% 17.29/11.27 tff(1201,plain,
% 17.29/11.27 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.29/11.27 inference(unit_resolution,[status(thm)],[1200, 7])).
% 17.29/11.27 tff(1202,plain,
% 17.29/11.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.27 inference(quant_inst,[status(thm)],[])).
% 17.29/11.27 tff(1203,plain,
% 17.29/11.27 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.27 inference(unit_resolution,[status(thm)],[1202, 7])).
% 17.29/11.27 tff(1204,plain,
% 17.29/11.27 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.27 inference(symmetry,[status(thm)],[1203])).
% 17.29/11.27 tff(1205,plain,
% 17.29/11.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.27 inference(quant_inst,[status(thm)],[])).
% 17.29/11.27 tff(1206,plain,
% 17.29/11.27 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.28 inference(unit_resolution,[status(thm)],[1205, 7])).
% 17.29/11.28 tff(1207,plain,
% 17.29/11.28 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.28 inference(monotonicity,[status(thm)],[1089])).
% 17.29/11.28 tff(1208,plain,
% 17.29/11.28 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.28 inference(symmetry,[status(thm)],[1207])).
% 17.29/11.28 tff(1209,plain,
% 17.29/11.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.28 inference(quant_inst,[status(thm)],[])).
% 17.29/11.28 tff(1210,plain,
% 17.29/11.28 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.28 inference(unit_resolution,[status(thm)],[1209, 7])).
% 17.29/11.28 tff(1211,plain,
% 17.29/11.28 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.28 inference(symmetry,[status(thm)],[1210])).
% 17.29/11.28 tff(1212,plain,
% 17.29/11.28 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.28 inference(transitivity,[status(thm)],[1211, 1208])).
% 17.29/11.28 tff(1213,plain,
% 17.29/11.28 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.28 inference(monotonicity,[status(thm)],[1212])).
% 17.29/11.28 tff(1214,plain,
% 17.29/11.28 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.28 inference(symmetry,[status(thm)],[1213])).
% 17.29/11.28 tff(1215,plain,
% 17.29/11.28 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.28 inference(transitivity,[status(thm)],[1214, 1206])).
% 17.29/11.28 tff(1216,plain,
% 17.29/11.28 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.28 inference(monotonicity,[status(thm)],[1215])).
% 17.29/11.28 tff(1217,plain,
% 17.29/11.28 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.28 inference(monotonicity,[status(thm)],[1213])).
% 17.29/11.28 tff(1218,plain,
% 17.29/11.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.28 inference(quant_inst,[status(thm)],[])).
% 17.29/11.28 tff(1219,plain,
% 17.29/11.28 (sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.28 inference(unit_resolution,[status(thm)],[1218, 7])).
% 17.29/11.28 tff(1220,plain,
% 17.29/11.28 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.28 inference(symmetry,[status(thm)],[1219])).
% 17.29/11.28 tff(1221,plain,
% 17.29/11.28 (sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.28 inference(transitivity,[status(thm)],[1220, 1217, 1216, 1204, 1044])).
% 17.29/11.28 tff(1222,plain,
% 17.29/11.28 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.28 inference(monotonicity,[status(thm)],[1221])).
% 17.29/11.28 tff(1223,plain,
% 17.29/11.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))),
% 17.29/11.28 inference(quant_inst,[status(thm)],[])).
% 17.29/11.28 tff(1224,plain,
% 17.29/11.28 (sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.28 inference(unit_resolution,[status(thm)],[1223, 7])).
% 17.29/11.28 tff(1225,plain,
% 17.29/11.28 (sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.29 inference(symmetry,[status(thm)],[1224])).
% 17.29/11.29 tff(1226,plain,
% 17.29/11.29 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.29 inference(monotonicity,[status(thm)],[1037])).
% 17.29/11.29 tff(1227,plain,
% 17.29/11.29 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.29 inference(symmetry,[status(thm)],[1226])).
% 17.29/11.29 tff(1228,plain,
% 17.29/11.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.29 inference(quant_inst,[status(thm)],[])).
% 17.29/11.29 tff(1229,plain,
% 17.29/11.29 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.29 inference(unit_resolution,[status(thm)],[1228, 7])).
% 17.29/11.29 tff(1230,plain,
% 17.29/11.29 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.29 inference(symmetry,[status(thm)],[1229])).
% 17.29/11.29 tff(1231,plain,
% 17.29/11.29 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.29 inference(transitivity,[status(thm)],[1230, 1227])).
% 17.29/11.29 tff(1232,plain,
% 17.29/11.29 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.29 inference(monotonicity,[status(thm)],[1231])).
% 17.29/11.29 tff(1233,plain,
% 17.29/11.29 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.29 inference(symmetry,[status(thm)],[1232])).
% 17.29/11.29 tff(1234,plain,
% 17.29/11.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.29 inference(quant_inst,[status(thm)],[])).
% 17.29/11.29 tff(1235,plain,
% 17.29/11.29 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.30 inference(unit_resolution,[status(thm)],[1234, 7])).
% 17.29/11.30 tff(1236,plain,
% 17.29/11.30 (sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 17.29/11.30 inference(transitivity,[status(thm)],[956, 953, 849])).
% 17.29/11.30 tff(1237,plain,
% 17.29/11.30 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.29/11.30 inference(monotonicity,[status(thm)],[1236])).
% 17.29/11.30 tff(1238,plain,
% 17.29/11.30 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.29/11.30 inference(symmetry,[status(thm)],[1237])).
% 17.29/11.30 tff(1239,plain,
% 17.29/11.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.29/11.30 inference(quant_inst,[status(thm)],[])).
% 17.29/11.30 tff(1240,plain,
% 17.29/11.30 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.29/11.30 inference(unit_resolution,[status(thm)],[1239, 7])).
% 17.29/11.30 tff(1241,plain,
% 17.29/11.30 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.29/11.30 inference(symmetry,[status(thm)],[1240])).
% 17.29/11.30 tff(1242,plain,
% 17.29/11.30 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.29/11.30 inference(transitivity,[status(thm)],[1241, 1238])).
% 17.29/11.30 tff(1243,plain,
% 17.29/11.30 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.30 inference(monotonicity,[status(thm)],[1242])).
% 17.29/11.30 tff(1244,plain,
% 17.29/11.30 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.29/11.30 inference(transitivity,[status(thm)],[1243, 1108, 1105])).
% 17.29/11.30 tff(1245,plain,
% 17.29/11.30 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.30 inference(monotonicity,[status(thm)],[1244])).
% 17.29/11.30 tff(1246,plain,
% 17.29/11.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.30 inference(quant_inst,[status(thm)],[])).
% 17.29/11.30 tff(1247,plain,
% 17.29/11.30 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.30 inference(unit_resolution,[status(thm)],[1246, 7])).
% 17.29/11.30 tff(1248,plain,
% 17.29/11.30 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.30 inference(symmetry,[status(thm)],[1247])).
% 17.29/11.30 tff(1249,plain,
% 17.29/11.30 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.30 inference(transitivity,[status(thm)],[1248, 1245])).
% 17.29/11.30 tff(1250,plain,
% 17.29/11.30 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.30 inference(monotonicity,[status(thm)],[1249])).
% 17.29/11.30 tff(1251,plain,
% 17.29/11.30 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.30 inference(symmetry,[status(thm)],[1250])).
% 17.29/11.30 tff(1252,plain,
% 17.29/11.30 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.30 inference(transitivity,[status(thm)],[1251, 1235])).
% 17.29/11.30 tff(1253,plain,
% 17.29/11.30 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.30 inference(monotonicity,[status(thm)],[1252])).
% 17.29/11.30 tff(1254,plain,
% 17.29/11.30 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.30 inference(symmetry,[status(thm)],[1253])).
% 17.29/11.30 tff(1255,plain,
% 17.29/11.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.29/11.30 inference(quant_inst,[status(thm)],[])).
% 17.29/11.30 tff(1256,plain,
% 17.29/11.30 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.30 inference(unit_resolution,[status(thm)],[1255, 7])).
% 17.29/11.30 tff(1257,plain,
% 17.29/11.30 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.29/11.30 inference(monotonicity,[status(thm)],[957])).
% 17.29/11.31 tff(1258,plain,
% 17.29/11.31 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.29/11.31 inference(symmetry,[status(thm)],[1257])).
% 17.29/11.31 tff(1259,plain,
% 17.29/11.31 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.31 inference(monotonicity,[status(thm)],[1258])).
% 17.29/11.31 tff(1260,plain,
% 17.29/11.31 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.29/11.31 inference(symmetry,[status(thm)],[1259])).
% 17.29/11.31 tff(1261,plain,
% 17.29/11.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.29/11.31 inference(quant_inst,[status(thm)],[])).
% 17.29/11.31 tff(1262,plain,
% 17.29/11.31 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.31 inference(unit_resolution,[status(thm)],[1261, 7])).
% 17.29/11.31 tff(1263,plain,
% 17.29/11.31 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.31 inference(symmetry,[status(thm)],[1262])).
% 17.29/11.31 tff(1264,plain,
% 17.29/11.31 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.31 inference(monotonicity,[status(thm)],[1242])).
% 17.29/11.31 tff(1265,plain,
% 17.29/11.31 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.29/11.31 inference(transitivity,[status(thm)],[1264, 1263, 1260])).
% 17.29/11.31 tff(1266,plain,
% 17.29/11.31 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.31 inference(monotonicity,[status(thm)],[1265])).
% 17.29/11.31 tff(1267,plain,
% 17.29/11.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.31 inference(quant_inst,[status(thm)],[])).
% 17.29/11.31 tff(1268,plain,
% 17.29/11.31 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.31 inference(unit_resolution,[status(thm)],[1267, 7])).
% 17.29/11.31 tff(1269,plain,
% 17.29/11.31 (sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.32 inference(symmetry,[status(thm)],[1268])).
% 17.29/11.32 tff(1270,plain,
% 17.29/11.32 (sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.29/11.32 inference(transitivity,[status(thm)],[1269, 1266])).
% 17.29/11.32 tff(1271,plain,
% 17.29/11.32 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.32 inference(monotonicity,[status(thm)],[1270])).
% 17.29/11.32 tff(1272,plain,
% 17.29/11.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.32 inference(quant_inst,[status(thm)],[])).
% 17.29/11.32 tff(1273,plain,
% 17.29/11.32 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.32 inference(unit_resolution,[status(thm)],[1272, 7])).
% 17.29/11.32 tff(1274,plain,
% 17.29/11.32 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.32 inference(symmetry,[status(thm)],[1273])).
% 17.29/11.32 tff(1275,plain,
% 17.29/11.32 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.32 inference(transitivity,[status(thm)],[1274, 1271])).
% 17.29/11.32 tff(1276,plain,
% 17.29/11.32 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.32 inference(monotonicity,[status(thm)],[1275])).
% 17.29/11.32 tff(1277,plain,
% 17.29/11.32 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.32 inference(symmetry,[status(thm)],[1276])).
% 17.29/11.32 tff(1278,plain,
% 17.29/11.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.29/11.32 inference(quant_inst,[status(thm)],[])).
% 17.29/11.32 tff(1279,plain,
% 17.29/11.32 (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.29/11.32 inference(unit_resolution,[status(thm)],[1278, 7])).
% 17.29/11.32 tff(1280,plain,
% 17.29/11.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.29/11.32 inference(quant_inst,[status(thm)],[])).
% 17.29/11.32 tff(1281,plain,
% 17.29/11.32 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.32 inference(unit_resolution,[status(thm)],[1280, 7])).
% 17.29/11.32 tff(1282,plain,
% 17.29/11.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.32 inference(quant_inst,[status(thm)],[])).
% 17.29/11.32 tff(1283,plain,
% 17.29/11.32 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.29/11.32 inference(unit_resolution,[status(thm)],[1282, 7])).
% 17.29/11.32 tff(1284,plain,
% 17.29/11.32 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.29/11.32 inference(symmetry,[status(thm)],[1283])).
% 17.29/11.32 tff(1285,plain,
% 17.29/11.32 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.29/11.32 inference(transitivity,[status(thm)],[1284, 1257])).
% 17.29/11.32 tff(1286,plain,
% 17.29/11.32 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.29/11.32 inference(monotonicity,[status(thm)],[1285])).
% 17.29/11.32 tff(1287,plain,
% 17.29/11.32 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.32 inference(symmetry,[status(thm)],[1286])).
% 17.29/11.32 tff(1288,plain,
% 17.29/11.32 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.29/11.32 inference(transitivity,[status(thm)],[1287, 1281])).
% 17.29/11.32 tff(1289,plain,
% 17.29/11.32 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.29/11.32 inference(monotonicity,[status(thm)],[1288])).
% 17.29/11.32 tff(1290,plain,
% 17.29/11.32 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.29/11.32 inference(transitivity,[status(thm)],[1289, 1279])).
% 17.29/11.32 tff(1291,plain,
% 17.29/11.32 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.29/11.33 inference(monotonicity,[status(thm)],[1290])).
% 17.29/11.33 tff(1292,plain,
% 17.29/11.33 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.29/11.33 inference(monotonicity,[status(thm)],[1291])).
% 17.29/11.33 tff(1293,plain,
% 17.29/11.33 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.33 inference(symmetry,[status(thm)],[1292])).
% 17.29/11.33 tff(1294,plain,
% 17.29/11.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 17.29/11.33 inference(quant_inst,[status(thm)],[])).
% 17.29/11.33 tff(1295,plain,
% 17.29/11.33 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.29/11.33 inference(unit_resolution,[status(thm)],[1294, 7])).
% 17.29/11.33 tff(1296,plain,
% 17.29/11.33 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.29/11.33 inference(symmetry,[status(thm)],[1295])).
% 17.29/11.33 tff(1297,plain,
% 17.29/11.33 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.29/11.33 inference(monotonicity,[status(thm)],[1290])).
% 17.29/11.33 tff(1298,plain,
% 17.29/11.33 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.29/11.33 inference(symmetry,[status(thm)],[1297])).
% 17.29/11.33 tff(1299,plain,
% 17.29/11.33 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.29/11.33 inference(monotonicity,[status(thm)],[1298])).
% 17.29/11.33 tff(1300,plain,
% 17.29/11.33 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.29/11.33 inference(symmetry,[status(thm)],[1299])).
% 17.29/11.33 tff(1301,plain,
% 17.29/11.33 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.39/11.34 inference(transitivity,[status(thm)],[1300, 1296, 1293, 1277, 1256, 1254, 1233])).
% 17.39/11.34 tff(1302,plain,
% 17.39/11.34 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x10, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))),
% 17.39/11.34 inference(monotonicity,[status(thm)],[1301])).
% 17.39/11.34 tff(1303,plain,
% 17.39/11.34 (sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.39/11.34 inference(transitivity,[status(thm)],[1302, 1225, 1222])).
% 17.39/11.34 tff(1304,plain,
% 17.39/11.34 (sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.39/11.34 inference(monotonicity,[status(thm)],[1303])).
% 17.39/11.34 tff(1305,plain,
% 17.39/11.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.39/11.34 inference(quant_inst,[status(thm)],[])).
% 17.39/11.34 tff(1306,plain,
% 17.39/11.34 (sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.39/11.34 inference(unit_resolution,[status(thm)],[1305, 7])).
% 17.39/11.34 tff(1307,plain,
% 17.39/11.34 (sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x9, x2), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.39/11.34 inference(symmetry,[status(thm)],[1306])).
% 17.39/11.34 tff(1308,plain,
% 17.39/11.34 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.34 inference(monotonicity,[status(thm)],[1288])).
% 17.39/11.34 tff(1309,plain,
% 17.39/11.34 (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.34 inference(symmetry,[status(thm)],[1308])).
% 17.39/11.34 tff(1310,plain,
% 17.39/11.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.39/11.34 inference(quant_inst,[status(thm)],[])).
% 17.39/11.34 tff(1311,plain,
% 17.39/11.34 (sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.34 inference(unit_resolution,[status(thm)],[1310, 7])).
% 17.39/11.34 tff(1312,plain,
% 17.39/11.34 (sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.34 inference(symmetry,[status(thm)],[1311])).
% 17.39/11.34 tff(1313,plain,
% 17.39/11.34 (sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.34 inference(transitivity,[status(thm)],[1312, 1309])).
% 17.39/11.34 tff(1314,plain,
% 17.39/11.34 (sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.34 inference(monotonicity,[status(thm)],[1313])).
% 17.39/11.34 tff(1315,plain,
% 17.39/11.34 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.39/11.34 inference(symmetry,[status(thm)],[1314])).
% 17.39/11.34 tff(1316,plain,
% 17.39/11.34 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.39/11.34 inference(monotonicity,[status(thm)],[1315])).
% 17.39/11.34 tff(1317,plain,
% 17.39/11.34 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.39/11.34 inference(symmetry,[status(thm)],[1316])).
% 17.39/11.34 tff(1318,plain,
% 17.39/11.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 17.39/11.34 inference(quant_inst,[status(thm)],[])).
% 17.39/11.34 tff(1319,plain,
% 17.39/11.34 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.39/11.35 inference(unit_resolution,[status(thm)],[1318, 7])).
% 17.39/11.35 tff(1320,plain,
% 17.39/11.35 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.39/11.35 inference(monotonicity,[status(thm)],[849])).
% 17.39/11.35 tff(1321,plain,
% 17.39/11.35 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.39/11.35 inference(symmetry,[status(thm)],[1320])).
% 17.39/11.35 tff(1322,plain,
% 17.39/11.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.39/11.35 inference(quant_inst,[status(thm)],[])).
% 17.39/11.35 tff(1323,plain,
% 17.39/11.35 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.39/11.35 inference(unit_resolution,[status(thm)],[1322, 7])).
% 17.39/11.35 tff(1324,plain,
% 17.39/11.35 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.39/11.35 inference(symmetry,[status(thm)],[1323])).
% 17.39/11.35 tff(1325,plain,
% 17.39/11.35 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.39/11.35 inference(transitivity,[status(thm)],[1324, 1321])).
% 17.39/11.35 tff(1326,plain,
% 17.39/11.35 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.39/11.35 inference(monotonicity,[status(thm)],[1325])).
% 17.39/11.35 tff(1327,plain,
% 17.39/11.35 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(monotonicity,[status(thm)],[1326])).
% 17.39/11.35 tff(1328,plain,
% 17.39/11.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.35 inference(quant_inst,[status(thm)],[])).
% 17.39/11.35 tff(1329,plain,
% 17.39/11.35 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(unit_resolution,[status(thm)],[1328, 7])).
% 17.39/11.35 tff(1330,plain,
% 17.39/11.35 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(symmetry,[status(thm)],[1329])).
% 17.39/11.35 tff(1331,plain,
% 17.39/11.35 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(transitivity,[status(thm)],[1330, 1327])).
% 17.39/11.35 tff(1332,plain,
% 17.39/11.35 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.35 inference(monotonicity,[status(thm)],[1331])).
% 17.39/11.35 tff(1333,plain,
% 17.39/11.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.39/11.35 inference(quant_inst,[status(thm)],[])).
% 17.39/11.35 tff(1334,plain,
% 17.39/11.35 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.35 inference(unit_resolution,[status(thm)],[1333, 7])).
% 17.39/11.35 tff(1335,plain,
% 17.39/11.35 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.35 inference(symmetry,[status(thm)],[1334])).
% 17.39/11.35 tff(1336,plain,
% 17.39/11.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.35 inference(quant_inst,[status(thm)],[])).
% 17.39/11.35 tff(1337,plain,
% 17.39/11.35 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(unit_resolution,[status(thm)],[1336, 7])).
% 17.39/11.35 tff(1338,plain,
% 17.39/11.35 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.39/11.35 inference(monotonicity,[status(thm)],[1325])).
% 17.39/11.35 tff(1339,plain,
% 17.39/11.35 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(monotonicity,[status(thm)],[1338])).
% 17.39/11.35 tff(1340,plain,
% 17.39/11.35 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(symmetry,[status(thm)],[1339])).
% 17.39/11.35 tff(1341,plain,
% 17.39/11.35 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.35 inference(transitivity,[status(thm)],[1340, 1337])).
% 17.39/11.35 tff(1342,plain,
% 17.39/11.35 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.36 inference(monotonicity,[status(thm)],[1341])).
% 17.39/11.36 tff(1343,plain,
% 17.39/11.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.36 inference(quant_inst,[status(thm)],[])).
% 17.39/11.36 tff(1344,plain,
% 17.39/11.36 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.39/11.36 inference(unit_resolution,[status(thm)],[1343, 7])).
% 17.39/11.36 tff(1345,plain,
% 17.39/11.36 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.39/11.36 inference(monotonicity,[status(thm)],[1258])).
% 17.39/11.36 tff(1346,plain,
% 17.39/11.36 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.39/11.36 inference(transitivity,[status(thm)],[1345, 1344])).
% 17.39/11.36 tff(1347,plain,
% 17.39/11.36 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.36 inference(monotonicity,[status(thm)],[1346])).
% 17.39/11.36 tff(1348,plain,
% 17.39/11.36 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.36 inference(symmetry,[status(thm)],[1347])).
% 17.39/11.36 tff(1349,plain,
% 17.39/11.36 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.36 inference(monotonicity,[status(thm)],[1348])).
% 17.39/11.36 tff(1350,plain,
% 17.39/11.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.39/11.36 inference(quant_inst,[status(thm)],[])).
% 17.39/11.36 tff(1351,plain,
% 17.39/11.36 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.39/11.36 inference(unit_resolution,[status(thm)],[1350, 7])).
% 17.39/11.36 tff(1352,plain,
% 17.39/11.36 (sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.39/11.36 inference(symmetry,[status(thm)],[1351])).
% 17.39/11.36 tff(1353,plain,
% 17.39/11.36 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1345])).
% 17.39/11.37 tff(1354,plain,
% 17.39/11.37 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1344])).
% 17.39/11.37 tff(1355,plain,
% 17.39/11.37 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.39/11.37 inference(transitivity,[status(thm)],[1354, 1353])).
% 17.39/11.37 tff(1356,plain,
% 17.39/11.37 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.37 inference(monotonicity,[status(thm)],[1355])).
% 17.39/11.37 tff(1357,plain,
% 17.39/11.37 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1356])).
% 17.39/11.37 tff(1358,plain,
% 17.39/11.37 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1338])).
% 17.39/11.37 tff(1359,plain,
% 17.39/11.37 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.37 inference(monotonicity,[status(thm)],[1358])).
% 17.39/11.37 tff(1360,plain,
% 17.39/11.37 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1359])).
% 17.39/11.37 tff(1361,plain,
% 17.39/11.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.37 inference(quant_inst,[status(thm)],[])).
% 17.39/11.37 tff(1362,plain,
% 17.39/11.37 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.37 inference(unit_resolution,[status(thm)],[1361, 7])).
% 17.39/11.37 tff(1363,plain,
% 17.39/11.37 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1362])).
% 17.39/11.37 tff(1364,plain,
% 17.39/11.37 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.37 inference(monotonicity,[status(thm)],[1326])).
% 17.39/11.37 tff(1365,plain,
% 17.39/11.37 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1364])).
% 17.39/11.37 tff(1366,plain,
% 17.39/11.37 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.37 inference(transitivity,[status(thm)],[1365, 1363, 1360, 1357])).
% 17.39/11.37 tff(1367,plain,
% 17.39/11.37 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.39/11.37 inference(monotonicity,[status(thm)],[1366])).
% 17.39/11.37 tff(1368,plain,
% 17.39/11.37 (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.37 inference(monotonicity,[status(thm)],[1313])).
% 17.39/11.37 tff(1369,plain,
% 17.39/11.37 (sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.37 inference(transitivity,[status(thm)],[1368, 1367, 1352, 1349, 1342, 1335, 1332])).
% 17.39/11.37 tff(1370,plain,
% 17.39/11.37 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.39/11.37 inference(monotonicity,[status(thm)],[1369])).
% 17.39/11.37 tff(1371,plain,
% 17.39/11.37 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.39/11.37 inference(symmetry,[status(thm)],[1370])).
% 17.39/11.37 tff(1372,plain,
% 17.39/11.37 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.39/11.37 inference(transitivity,[status(thm)],[1300, 1296, 1293, 1371, 1319, 1317])).
% 17.39/11.37 tff(1373,plain,
% 17.39/11.37 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.39/11.37 inference(monotonicity,[status(thm)],[1372])).
% 17.39/11.37 tff(1374,plain,
% 17.39/11.37 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.39/11.38 inference(symmetry,[status(thm)],[1373])).
% 17.39/11.38 tff(1375,plain,
% 17.39/11.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.39/11.38 inference(quant_inst,[status(thm)],[])).
% 17.39/11.38 tff(1376,plain,
% 17.39/11.38 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.39/11.38 inference(unit_resolution,[status(thm)],[1375, 7])).
% 17.39/11.38 tff(1377,plain,
% 17.39/11.38 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.39/11.38 inference(symmetry,[status(thm)],[1376])).
% 17.39/11.38 tff(1378,plain,
% 17.39/11.38 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.38 inference(monotonicity,[status(thm)],[26])).
% 17.39/11.38 tff(1379,plain,
% 17.39/11.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.39/11.38 inference(quant_inst,[status(thm)],[])).
% 17.39/11.38 tff(1380,plain,
% 17.39/11.38 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.38 inference(unit_resolution,[status(thm)],[1379, 7])).
% 17.39/11.38 tff(1381,plain,
% 17.39/11.38 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.38 inference(symmetry,[status(thm)],[1380])).
% 17.39/11.38 tff(1382,plain,
% 17.39/11.38 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.39/11.38 inference(monotonicity,[status(thm)],[860])).
% 17.39/11.38 tff(1383,plain,
% 17.39/11.38 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.38 inference(transitivity,[status(thm)],[1382, 1381, 1378])).
% 17.39/11.38 tff(1384,plain,
% 17.39/11.38 (sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.39 inference(monotonicity,[status(thm)],[1383])).
% 17.39/11.39 tff(1385,plain,
% 17.39/11.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.39/11.39 inference(quant_inst,[status(thm)],[])).
% 17.39/11.39 tff(1386,plain,
% 17.39/11.39 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.39 inference(unit_resolution,[status(thm)],[1385, 7])).
% 17.39/11.39 tff(1387,plain,
% 17.39/11.39 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.39 inference(monotonicity,[status(thm)],[924])).
% 17.39/11.39 tff(1388,plain,
% 17.39/11.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.39 inference(quant_inst,[status(thm)],[])).
% 17.39/11.39 tff(1389,plain,
% 17.39/11.39 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.39 inference(unit_resolution,[status(thm)],[1388, 7])).
% 17.39/11.39 tff(1390,plain,
% 17.39/11.39 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.39 inference(symmetry,[status(thm)],[1389])).
% 17.39/11.39 tff(1391,plain,
% 17.39/11.39 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.39 inference(monotonicity,[status(thm)],[972])).
% 17.39/11.39 tff(1392,plain,
% 17.39/11.39 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.39/11.39 inference(transitivity,[status(thm)],[1391, 1390, 1387])).
% 17.39/11.39 tff(1393,plain,
% 17.39/11.39 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.39 inference(monotonicity,[status(thm)],[1392])).
% 17.39/11.39 tff(1394,plain,
% 17.39/11.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.39/11.39 inference(quant_inst,[status(thm)],[])).
% 17.39/11.39 tff(1395,plain,
% 17.39/11.39 (sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.39 inference(unit_resolution,[status(thm)],[1394, 7])).
% 17.39/11.39 tff(1396,plain,
% 17.39/11.39 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.39/11.39 inference(symmetry,[status(thm)],[1395])).
% 17.39/11.39 tff(1397,plain,
% 17.39/11.39 (sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.39/11.39 inference(monotonicity,[status(thm)],[130])).
% 17.39/11.39 tff(1398,plain,
% 17.39/11.39 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))),
% 17.39/11.39 inference(symmetry,[status(thm)],[1397])).
% 17.39/11.39 tff(1399,plain,
% 17.39/11.39 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 17.39/11.39 inference(monotonicity,[status(thm)],[1398])).
% 17.39/11.39 tff(1400,plain,
% 17.39/11.39 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.39/11.39 inference(symmetry,[status(thm)],[1399])).
% 17.39/11.39 tff(1401,plain,
% 17.39/11.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 17.39/11.39 inference(quant_inst,[status(thm)],[])).
% 17.39/11.39 tff(1402,plain,
% 17.39/11.39 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 17.39/11.39 inference(unit_resolution,[status(thm)],[1401, 7])).
% 17.39/11.39 tff(1403,plain,
% 17.39/11.39 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))),
% 17.39/11.39 inference(symmetry,[status(thm)],[1402])).
% 17.39/11.39 tff(1404,plain,
% 17.39/11.39 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.39/11.39 inference(transitivity,[status(thm)],[1403, 1400])).
% 17.39/11.39 tff(1405,plain,
% 17.39/11.39 (sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.39/11.39 inference(monotonicity,[status(thm)],[1404])).
% 17.39/11.39 tff(1406,plain,
% 17.39/11.39 (sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 17.39/11.39 inference(symmetry,[status(thm)],[1405])).
% 17.39/11.39 tff(1407,plain,
% 17.39/11.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.45/11.40 inference(quant_inst,[status(thm)],[])).
% 17.45/11.40 tff(1408,plain,
% 17.45/11.40 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.45/11.40 inference(unit_resolution,[status(thm)],[1407, 7])).
% 17.45/11.40 tff(1409,plain,
% 17.45/11.40 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1408])).
% 17.45/11.40 tff(1410,plain,
% 17.45/11.40 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.45/11.40 inference(monotonicity,[status(thm)],[1409])).
% 17.45/11.40 tff(1411,plain,
% 17.45/11.40 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1410])).
% 17.45/11.40 tff(1412,plain,
% 17.45/11.40 (sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.40 inference(monotonicity,[status(thm)],[1411])).
% 17.45/11.40 tff(1413,plain,
% 17.45/11.40 (sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1412])).
% 17.45/11.40 tff(1414,plain,
% 17.45/11.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.40 inference(quant_inst,[status(thm)],[])).
% 17.45/11.40 tff(1415,plain,
% 17.45/11.40 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x7, x10), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.40 inference(unit_resolution,[status(thm)],[1414, 7])).
% 17.45/11.40 tff(1416,plain,
% 17.45/11.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.40 inference(quant_inst,[status(thm)],[])).
% 17.45/11.40 tff(1417,plain,
% 17.45/11.40 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.45/11.40 inference(unit_resolution,[status(thm)],[1416, 7])).
% 17.45/11.40 tff(1418,plain,
% 17.45/11.40 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1417])).
% 17.45/11.40 tff(1419,plain,
% 17.45/11.40 (sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.45/11.40 inference(transitivity,[status(thm)],[1418, 963])).
% 17.45/11.40 tff(1420,plain,
% 17.45/11.40 (sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.40 inference(monotonicity,[status(thm)],[1419])).
% 17.45/11.40 tff(1421,plain,
% 17.45/11.40 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x1, x11), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1420])).
% 17.45/11.40 tff(1422,plain,
% 17.45/11.40 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 17.45/11.40 inference(transitivity,[status(thm)],[1421, 1415, 1413, 1406])).
% 17.45/11.40 tff(1423,plain,
% 17.45/11.40 (sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.40 inference(monotonicity,[status(thm)],[1422])).
% 17.45/11.40 tff(1424,plain,
% 17.45/11.40 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1423])).
% 17.45/11.40 tff(1425,plain,
% 17.45/11.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 17.45/11.40 inference(quant_inst,[status(thm)],[])).
% 17.45/11.40 tff(1426,plain,
% 17.45/11.40 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.40 inference(unit_resolution,[status(thm)],[1425, 7])).
% 17.45/11.40 tff(1427,plain,
% 17.45/11.40 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1426])).
% 17.45/11.40 tff(1428,plain,
% 17.45/11.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.40 inference(quant_inst,[status(thm)],[])).
% 17.45/11.40 tff(1429,plain,
% 17.45/11.40 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))),
% 17.45/11.40 inference(unit_resolution,[status(thm)],[1428, 7])).
% 17.45/11.40 tff(1430,plain,
% 17.45/11.40 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.40 inference(monotonicity,[status(thm)],[1429])).
% 17.45/11.40 tff(1431,plain,
% 17.45/11.40 (sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.40 inference(symmetry,[status(thm)],[1430])).
% 17.45/11.40 tff(1432,plain,
% 17.45/11.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))))),
% 17.45/11.41 inference(quant_inst,[status(thm)],[])).
% 17.45/11.41 tff(1433,plain,
% 17.45/11.41 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.41 inference(unit_resolution,[status(thm)],[1432, 7])).
% 17.45/11.41 tff(1434,plain,
% 17.45/11.41 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.41 inference(monotonicity,[status(thm)],[159])).
% 17.45/11.41 tff(1435,plain,
% 17.45/11.41 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x11, x1), sep(lseg(x9, x2), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.41 inference(symmetry,[status(thm)],[1434])).
% 17.45/11.41 tff(1436,plain,
% 17.45/11.41 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.41 inference(monotonicity,[status(thm)],[103])).
% 17.45/11.41 tff(1437,plain,
% 17.45/11.41 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.41 inference(symmetry,[status(thm)],[1436])).
% 17.45/11.41 tff(1438,plain,
% 17.45/11.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.41 inference(quant_inst,[status(thm)],[])).
% 17.45/11.41 tff(1439,plain,
% 17.45/11.41 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.41 inference(unit_resolution,[status(thm)],[1438, 7])).
% 17.45/11.41 tff(1440,plain,
% 17.45/11.41 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.41 inference(monotonicity,[status(thm)],[1258])).
% 17.45/11.41 tff(1441,plain,
% 17.45/11.41 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.41 inference(symmetry,[status(thm)],[1440])).
% 17.45/11.41 tff(1442,plain,
% 17.45/11.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.41 inference(quant_inst,[status(thm)],[])).
% 17.45/11.41 tff(1443,plain,
% 17.45/11.41 (sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.42 inference(unit_resolution,[status(thm)],[1442, 7])).
% 17.45/11.42 tff(1444,plain,
% 17.45/11.42 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.42 inference(symmetry,[status(thm)],[1443])).
% 17.45/11.42 tff(1445,plain,
% 17.45/11.42 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[964])).
% 17.45/11.42 tff(1446,plain,
% 17.45/11.42 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[857])).
% 17.45/11.42 tff(1447,plain,
% 17.45/11.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.42 inference(quant_inst,[status(thm)],[])).
% 17.45/11.42 tff(1448,plain,
% 17.45/11.42 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.42 inference(unit_resolution,[status(thm)],[1447, 7])).
% 17.45/11.42 tff(1449,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.42 inference(symmetry,[status(thm)],[1448])).
% 17.45/11.42 tff(1450,plain,
% 17.45/11.42 (sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.45/11.42 inference(symmetry,[status(thm)],[21])).
% 17.45/11.42 tff(1451,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[1450])).
% 17.45/11.42 tff(1452,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[96])).
% 17.45/11.42 tff(1453,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.42 inference(transitivity,[status(thm)],[1452, 1451, 1449, 1446, 1445, 1444, 1441])).
% 17.45/11.42 tff(1454,plain,
% 17.45/11.42 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[1453])).
% 17.45/11.42 tff(1455,plain,
% 17.45/11.42 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.42 inference(symmetry,[status(thm)],[1454])).
% 17.45/11.42 tff(1456,plain,
% 17.45/11.42 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.42 inference(transitivity,[status(thm)],[1455, 1439, 1437, 1435, 1433, 1431, 1427, 1424])).
% 17.45/11.42 tff(1457,plain,
% 17.45/11.42 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[1456])).
% 17.45/11.42 tff(1458,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.42 inference(symmetry,[status(thm)],[1439])).
% 17.45/11.42 tff(1459,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[119])).
% 17.45/11.42 tff(1460,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.42 inference(transitivity,[status(thm)],[1459, 1436, 1458, 1454])).
% 17.45/11.42 tff(1461,plain,
% 17.45/11.42 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[1460])).
% 17.45/11.42 tff(1462,plain,
% 17.45/11.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.45/11.42 inference(quant_inst,[status(thm)],[])).
% 17.45/11.42 tff(1463,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.42 inference(unit_resolution,[status(thm)],[1462, 7])).
% 17.45/11.42 tff(1464,plain,
% 17.45/11.42 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[125])).
% 17.45/11.42 tff(1465,plain,
% 17.45/11.42 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x11, x7), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.42 inference(monotonicity,[status(thm)],[1464])).
% 17.45/11.42 tff(1466,plain,
% 17.45/11.42 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.43 inference(monotonicity,[status(thm)],[102])).
% 17.45/11.43 tff(1467,plain,
% 17.45/11.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.43 inference(quant_inst,[status(thm)],[])).
% 17.45/11.43 tff(1468,plain,
% 17.45/11.43 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.43 inference(unit_resolution,[status(thm)],[1467, 7])).
% 17.45/11.43 tff(1469,plain,
% 17.45/11.43 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.43 inference(monotonicity,[status(thm)],[96])).
% 17.45/11.43 tff(1470,plain,
% 17.45/11.43 (sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))),
% 17.45/11.43 inference(symmetry,[status(thm)],[1469])).
% 17.45/11.43 tff(1471,plain,
% 17.45/11.43 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.43 inference(monotonicity,[status(thm)],[1470])).
% 17.45/11.43 tff(1472,plain,
% 17.45/11.43 (sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))) = sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))),
% 17.45/11.43 inference(transitivity,[status(thm)],[42, 14])).
% 17.45/11.43 tff(1473,plain,
% 17.45/11.43 (sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.45/11.43 inference(monotonicity,[status(thm)],[1472])).
% 17.45/11.43 tff(1474,plain,
% 17.45/11.43 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 17.45/11.43 inference(symmetry,[status(thm)],[1473])).
% 17.45/11.43 tff(1475,plain,
% 17.45/11.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))),
% 17.45/11.43 inference(quant_inst,[status(thm)],[])).
% 17.45/11.43 tff(1476,plain,
% 17.45/11.43 (sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.45/11.43 inference(unit_resolution,[status(thm)],[1475, 7])).
% 17.45/11.43 tff(1477,plain,
% 17.45/11.43 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))),
% 17.45/11.43 inference(symmetry,[status(thm)],[1476])).
% 17.45/11.43 tff(1478,plain,
% 17.45/11.43 (sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))) = sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))),
% 17.45/11.43 inference(transitivity,[status(thm)],[1477, 1474])).
% 17.45/11.43 tff(1479,plain,
% 17.45/11.43 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.45/11.43 inference(monotonicity,[status(thm)],[1478])).
% 17.45/11.43 tff(1480,plain,
% 17.45/11.44 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.45/11.44 inference(transitivity,[status(thm)],[1479, 95, 92])).
% 17.45/11.44 tff(1481,plain,
% 17.45/11.44 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.44 inference(monotonicity,[status(thm)],[1480])).
% 17.45/11.44 tff(1482,plain,
% 17.45/11.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.44 inference(quant_inst,[status(thm)],[])).
% 17.45/11.44 tff(1483,plain,
% 17.45/11.44 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.44 inference(unit_resolution,[status(thm)],[1482, 7])).
% 17.45/11.44 tff(1484,plain,
% 17.45/11.44 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.44 inference(symmetry,[status(thm)],[1483])).
% 17.45/11.44 tff(1485,plain,
% 17.45/11.44 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.44 inference(transitivity,[status(thm)],[1484, 1481])).
% 17.45/11.44 tff(1486,plain,
% 17.45/11.44 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.44 inference(monotonicity,[status(thm)],[1485])).
% 17.45/11.44 tff(1487,plain,
% 17.45/11.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.45/11.44 inference(quant_inst,[status(thm)],[])).
% 17.45/11.44 tff(1488,plain,
% 17.45/11.44 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.44 inference(unit_resolution,[status(thm)],[1487, 7])).
% 17.45/11.44 tff(1489,plain,
% 17.45/11.44 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.44 inference(symmetry,[status(thm)],[1488])).
% 17.45/11.44 tff(1490,plain,
% 17.45/11.44 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.44 inference(transitivity,[status(thm)],[1489, 1486, 1471, 1468, 1466])).
% 17.45/11.44 tff(1491,plain,
% 17.45/11.44 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.44 inference(monotonicity,[status(thm)],[1490])).
% 17.45/11.44 tff(1492,plain,
% 17.45/11.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.45/11.44 inference(quant_inst,[status(thm)],[])).
% 17.45/11.44 tff(1493,plain,
% 17.45/11.44 (sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.45/11.44 inference(unit_resolution,[status(thm)],[1492, 7])).
% 17.45/11.44 tff(1494,plain,
% 17.45/11.44 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.45/11.44 inference(symmetry,[status(thm)],[1493])).
% 17.45/11.44 tff(1495,plain,
% 17.45/11.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.45/11.44 inference(quant_inst,[status(thm)],[])).
% 17.45/11.44 tff(1496,plain,
% 17.45/11.44 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.44 inference(unit_resolution,[status(thm)],[1495, 7])).
% 17.45/11.44 tff(1497,plain,
% 17.45/11.44 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))),
% 17.45/11.44 inference(monotonicity,[status(thm)],[1478])).
% 17.45/11.44 tff(1498,plain,
% 17.45/11.44 (sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))),
% 17.45/11.44 inference(transitivity,[status(thm)],[1497, 1324, 1321])).
% 17.45/11.44 tff(1499,plain,
% 17.45/11.44 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.44 inference(monotonicity,[status(thm)],[1498])).
% 17.45/11.44 tff(1500,plain,
% 17.45/11.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.44 inference(quant_inst,[status(thm)],[])).
% 17.45/11.44 tff(1501,plain,
% 17.45/11.44 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.44 inference(unit_resolution,[status(thm)],[1500, 7])).
% 17.45/11.44 tff(1502,plain,
% 17.45/11.44 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.45 inference(symmetry,[status(thm)],[1501])).
% 17.45/11.45 tff(1503,plain,
% 17.45/11.45 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.45 inference(transitivity,[status(thm)],[1502, 1499])).
% 17.45/11.45 tff(1504,plain,
% 17.45/11.45 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1503])).
% 17.45/11.45 tff(1505,plain,
% 17.45/11.45 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.45 inference(symmetry,[status(thm)],[1504])).
% 17.45/11.45 tff(1506,plain,
% 17.45/11.45 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.45 inference(transitivity,[status(thm)],[1365, 1363, 1360, 1505, 1496])).
% 17.45/11.45 tff(1507,plain,
% 17.45/11.45 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x2, x9), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1506])).
% 17.45/11.45 tff(1508,plain,
% 17.45/11.45 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1313])).
% 17.45/11.45 tff(1509,plain,
% 17.45/11.45 (sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.45 inference(transitivity,[status(thm)],[1508, 1507, 1494, 1491, 1465, 1463, 1461, 1457, 1396, 1393, 1386, 1384])).
% 17.45/11.45 tff(1510,plain,
% 17.45/11.45 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1509])).
% 17.45/11.45 tff(1511,plain,
% 17.45/11.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))),
% 17.45/11.45 inference(quant_inst,[status(thm)],[])).
% 17.45/11.45 tff(1512,plain,
% 17.45/11.45 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.45/11.45 inference(unit_resolution,[status(thm)],[1511, 7])).
% 17.45/11.45 tff(1513,plain,
% 17.45/11.45 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1315])).
% 17.45/11.45 tff(1514,plain,
% 17.45/11.45 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.45/11.45 inference(transitivity,[status(thm)],[1513, 1512, 1510])).
% 17.45/11.45 tff(1515,plain,
% 17.45/11.45 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1514])).
% 17.45/11.45 tff(1516,plain,
% 17.45/11.45 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.45/11.45 inference(symmetry,[status(thm)],[1515])).
% 17.45/11.45 tff(1517,plain,
% 17.45/11.45 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.45/11.45 inference(transitivity,[status(thm)],[1516, 1377, 1374])).
% 17.45/11.45 tff(1518,plain,
% 17.45/11.45 (sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1517])).
% 17.45/11.45 tff(1519,plain,
% 17.45/11.45 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.45 inference(monotonicity,[status(thm)],[1331])).
% 17.45/11.45 tff(1520,plain,
% 17.45/11.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.45/11.45 inference(quant_inst,[status(thm)],[])).
% 17.45/11.45 tff(1521,plain,
% 17.45/11.45 (sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.46 inference(unit_resolution,[status(thm)],[1520, 7])).
% 17.45/11.46 tff(1522,plain,
% 17.45/11.46 (sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.46 inference(symmetry,[status(thm)],[1521])).
% 17.45/11.46 tff(1523,plain,
% 17.45/11.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.45/11.46 inference(quant_inst,[status(thm)],[])).
% 17.45/11.46 tff(1524,plain,
% 17.45/11.46 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.45/11.46 inference(unit_resolution,[status(thm)],[1523, 7])).
% 17.45/11.46 tff(1525,plain,
% 17.45/11.46 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.46 inference(monotonicity,[status(thm)],[1074])).
% 17.45/11.46 tff(1526,plain,
% 17.45/11.46 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.46 inference(symmetry,[status(thm)],[1525])).
% 17.45/11.46 tff(1527,plain,
% 17.45/11.46 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.45/11.46 inference(quant_inst,[status(thm)],[])).
% 17.45/11.46 tff(1528,plain,
% 17.45/11.46 (sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.46 inference(unit_resolution,[status(thm)],[1527, 7])).
% 17.45/11.46 tff(1529,plain,
% 17.45/11.46 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.46 inference(symmetry,[status(thm)],[1528])).
% 17.45/11.46 tff(1530,plain,
% 17.45/11.46 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))),
% 17.45/11.46 inference(monotonicity,[status(thm)],[1258])).
% 17.45/11.46 tff(1531,plain,
% 17.45/11.46 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.46 inference(monotonicity,[status(thm)],[1325])).
% 17.45/11.46 tff(1532,plain,
% 17.45/11.46 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.45/11.46 inference(transitivity,[status(thm)],[1531, 1530, 1529, 1526])).
% 17.45/11.46 tff(1533,plain,
% 17.45/11.46 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.47 inference(monotonicity,[status(thm)],[1532])).
% 17.52/11.47 tff(1534,plain,
% 17.52/11.47 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.47 inference(symmetry,[status(thm)],[1533])).
% 17.52/11.47 tff(1535,plain,
% 17.52/11.47 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.47 inference(transitivity,[status(thm)],[1534, 1524])).
% 17.52/11.47 tff(1536,plain,
% 17.52/11.47 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(monotonicity,[status(thm)],[1535])).
% 17.52/11.47 tff(1537,plain,
% 17.52/11.47 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(transitivity,[status(thm)],[1536, 1522, 1519])).
% 17.52/11.47 tff(1538,plain,
% 17.52/11.47 (sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.47 inference(monotonicity,[status(thm)],[1537])).
% 17.52/11.47 tff(1539,plain,
% 17.52/11.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.47 inference(quant_inst,[status(thm)],[])).
% 17.52/11.47 tff(1540,plain,
% 17.52/11.47 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.47 inference(unit_resolution,[status(thm)],[1539, 7])).
% 17.52/11.47 tff(1541,plain,
% 17.52/11.47 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(monotonicity,[status(thm)],[1535])).
% 17.52/11.47 tff(1542,plain,
% 17.52/11.47 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(symmetry,[status(thm)],[1541])).
% 17.52/11.47 tff(1543,plain,
% 17.52/11.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.47 inference(quant_inst,[status(thm)],[])).
% 17.52/11.47 tff(1544,plain,
% 17.52/11.47 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(unit_resolution,[status(thm)],[1543, 7])).
% 17.52/11.47 tff(1545,plain,
% 17.52/11.47 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.47 inference(symmetry,[status(thm)],[1337])).
% 17.52/11.47 tff(1546,plain,
% 17.52/11.47 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.47 inference(transitivity,[status(thm)],[1545, 1339])).
% 17.52/11.47 tff(1547,plain,
% 17.52/11.47 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(monotonicity,[status(thm)],[1546])).
% 17.52/11.47 tff(1548,plain,
% 17.52/11.47 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(symmetry,[status(thm)],[1547])).
% 17.52/11.47 tff(1549,plain,
% 17.52/11.47 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.52/11.47 inference(monotonicity,[status(thm)],[1347])).
% 17.52/11.47 tff(1550,plain,
% 17.52/11.47 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.47 inference(symmetry,[status(thm)],[1549])).
% 17.52/11.47 tff(1551,plain,
% 17.52/11.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))))),
% 17.52/11.47 inference(quant_inst,[status(thm)],[])).
% 17.52/11.47 tff(1552,plain,
% 17.52/11.47 (sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.52/11.47 inference(unit_resolution,[status(thm)],[1551, 7])).
% 17.52/11.47 tff(1553,plain,
% 17.52/11.47 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.52/11.48 inference(symmetry,[status(thm)],[1552])).
% 17.52/11.48 tff(1554,plain,
% 17.52/11.48 (sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))),
% 17.52/11.48 inference(monotonicity,[status(thm)],[1346])).
% 17.52/11.48 tff(1555,plain,
% 17.52/11.48 (sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))) = sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.48 inference(symmetry,[status(thm)],[1554])).
% 17.52/11.48 tff(1556,plain,
% 17.52/11.48 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.48 inference(monotonicity,[status(thm)],[1555])).
% 17.52/11.48 tff(1557,plain,
% 17.52/11.48 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x13, x8), sep(lseg(x7, x10), sep(lseg(x12, x7), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))),
% 17.52/11.48 inference(symmetry,[status(thm)],[1556])).
% 17.52/11.48 tff(1558,plain,
% 17.52/11.48 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.48 inference(transitivity,[status(thm)],[1557, 1553, 1550, 1548, 1544, 1542])).
% 17.52/11.48 tff(1559,plain,
% 17.52/11.48 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.48 inference(monotonicity,[status(thm)],[1558])).
% 17.52/11.48 tff(1560,plain,
% 17.52/11.48 (sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.48 inference(transitivity,[status(thm)],[1559, 1540, 1538])).
% 17.52/11.48 tff(1561,plain,
% 17.52/11.48 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.48 inference(monotonicity,[status(thm)],[1560])).
% 17.52/11.48 tff(1562,plain,
% 17.52/11.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.52/11.48 inference(quant_inst,[status(thm)],[])).
% 17.52/11.48 tff(1563,plain,
% 17.52/11.48 (sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.49 inference(unit_resolution,[status(thm)],[1562, 7])).
% 17.52/11.49 tff(1564,plain,
% 17.52/11.49 (sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x9, x2), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.49 inference(symmetry,[status(thm)],[1563])).
% 17.52/11.49 tff(1565,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.49 inference(monotonicity,[status(thm)],[1558])).
% 17.52/11.49 tff(1566,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.49 inference(symmetry,[status(thm)],[1565])).
% 17.52/11.49 tff(1567,plain,
% 17.52/11.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.49 inference(quant_inst,[status(thm)],[])).
% 17.52/11.49 tff(1568,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.49 inference(unit_resolution,[status(thm)],[1567, 7])).
% 17.52/11.49 tff(1569,plain,
% 17.52/11.49 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.49 inference(symmetry,[status(thm)],[1568])).
% 17.52/11.49 tff(1570,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))) = sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))),
% 17.52/11.49 inference(monotonicity,[status(thm)],[1325])).
% 17.52/11.49 tff(1571,plain,
% 17.52/11.49 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.49 inference(monotonicity,[status(thm)],[1570])).
% 17.52/11.49 tff(1572,plain,
% 17.52/11.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.49 inference(quant_inst,[status(thm)],[])).
% 17.52/11.49 tff(1573,plain,
% 17.52/11.49 (sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.49 inference(unit_resolution,[status(thm)],[1572, 7])).
% 17.52/11.49 tff(1574,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.49 inference(symmetry,[status(thm)],[1573])).
% 17.52/11.49 tff(1575,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.49 inference(transitivity,[status(thm)],[1574, 1571])).
% 17.52/11.49 tff(1576,plain,
% 17.52/11.49 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.49 inference(monotonicity,[status(thm)],[1575])).
% 17.52/11.49 tff(1577,plain,
% 17.52/11.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.49 inference(quant_inst,[status(thm)],[])).
% 17.52/11.49 tff(1578,plain,
% 17.52/11.49 (sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.49 inference(unit_resolution,[status(thm)],[1577, 7])).
% 17.52/11.49 tff(1579,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.49 inference(symmetry,[status(thm)],[1578])).
% 17.52/11.49 tff(1580,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.49 inference(monotonicity,[status(thm)],[1535])).
% 17.52/11.49 tff(1581,plain,
% 17.52/11.49 (sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.49 inference(transitivity,[status(thm)],[1580, 1579, 1576])).
% 17.52/11.49 tff(1582,plain,
% 17.52/11.49 (sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.50 inference(monotonicity,[status(thm)],[1581])).
% 17.52/11.50 tff(1583,plain,
% 17.52/11.50 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.50 inference(symmetry,[status(thm)],[1582])).
% 17.52/11.50 tff(1584,plain,
% 17.52/11.50 (sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.50 inference(transitivity,[status(thm)],[1583, 1569, 1566])).
% 17.52/11.50 tff(1585,plain,
% 17.52/11.50 (sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x9, x2), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.50 inference(monotonicity,[status(thm)],[1584])).
% 17.52/11.50 tff(1586,plain,
% 17.52/11.50 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.50 inference(monotonicity,[status(thm)],[1453])).
% 17.52/11.50 tff(1587,plain,
% 17.52/11.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.50 inference(quant_inst,[status(thm)],[])).
% 17.52/11.50 tff(1588,plain,
% 17.52/11.50 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.50 inference(unit_resolution,[status(thm)],[1587, 7])).
% 17.52/11.50 tff(1589,plain,
% 17.52/11.50 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.50 inference(symmetry,[status(thm)],[1588])).
% 17.52/11.50 tff(1590,plain,
% 17.52/11.50 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.50 inference(transitivity,[status(thm)],[1589, 1586])).
% 17.52/11.50 tff(1591,plain,
% 17.52/11.50 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.50 inference(monotonicity,[status(thm)],[1590])).
% 17.52/11.50 tff(1592,plain,
% 17.52/11.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.51 inference(quant_inst,[status(thm)],[])).
% 17.52/11.51 tff(1593,plain,
% 17.52/11.51 (sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(unit_resolution,[status(thm)],[1592, 7])).
% 17.52/11.51 tff(1594,plain,
% 17.52/11.51 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(symmetry,[status(thm)],[1593])).
% 17.52/11.51 tff(1595,plain,
% 17.52/11.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(quant_inst,[status(thm)],[])).
% 17.52/11.51 tff(1596,plain,
% 17.52/11.51 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(unit_resolution,[status(thm)],[1595, 7])).
% 17.52/11.51 tff(1597,plain,
% 17.52/11.51 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(monotonicity,[status(thm)],[97])).
% 17.52/11.51 tff(1598,plain,
% 17.52/11.51 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(symmetry,[status(thm)],[1597])).
% 17.52/11.51 tff(1599,plain,
% 17.52/11.51 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(transitivity,[status(thm)],[1598, 1596])).
% 17.52/11.51 tff(1600,plain,
% 17.52/11.51 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(monotonicity,[status(thm)],[1599])).
% 17.52/11.51 tff(1601,plain,
% 17.52/11.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.51 inference(quant_inst,[status(thm)],[])).
% 17.52/11.51 tff(1602,plain,
% 17.52/11.51 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(unit_resolution,[status(thm)],[1601, 7])).
% 17.52/11.51 tff(1603,plain,
% 17.52/11.51 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(symmetry,[status(thm)],[1602])).
% 17.52/11.51 tff(1604,plain,
% 17.52/11.51 (sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(monotonicity,[status(thm)],[66])).
% 17.52/11.51 tff(1605,plain,
% 17.52/11.51 (sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(symmetry,[status(thm)],[1604])).
% 17.52/11.51 tff(1606,plain,
% 17.52/11.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(quant_inst,[status(thm)],[])).
% 17.52/11.51 tff(1607,plain,
% 17.52/11.51 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(unit_resolution,[status(thm)],[1606, 7])).
% 17.52/11.51 tff(1608,plain,
% 17.52/11.51 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(monotonicity,[status(thm)],[943])).
% 17.52/11.51 tff(1609,plain,
% 17.52/11.51 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x4, x9), sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(symmetry,[status(thm)],[1608])).
% 17.52/11.51 tff(1610,plain,
% 17.52/11.51 (sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))) = sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))),
% 17.52/11.51 inference(transitivity,[status(thm)],[1609, 1607, 1605])).
% 17.52/11.51 tff(1611,plain,
% 17.52/11.51 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(monotonicity,[status(thm)],[1610])).
% 17.52/11.51 tff(1612,plain,
% 17.52/11.51 (sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.51 inference(transitivity,[status(thm)],[1611, 1603, 1600, 1594, 1591])).
% 17.52/11.51 tff(1613,plain,
% 17.52/11.51 (sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.52 inference(monotonicity,[status(thm)],[1612])).
% 17.52/11.52 tff(1614,plain,
% 17.52/11.52 (sep(lseg(x5, x3), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.52 inference(symmetry,[status(thm)],[1611])).
% 17.52/11.52 tff(1615,plain,
% 17.52/11.52 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.52 inference(transitivity,[status(thm)],[1602, 1614])).
% 17.52/11.52 tff(1616,plain,
% 17.52/11.52 (sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.52 inference(monotonicity,[status(thm)],[1615])).
% 17.52/11.52 tff(1617,plain,
% 17.52/11.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.52 inference(quant_inst,[status(thm)],[])).
% 17.52/11.52 tff(1618,plain,
% 17.52/11.52 (sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.52 inference(unit_resolution,[status(thm)],[1617, 7])).
% 17.52/11.52 tff(1619,plain,
% 17.52/11.52 (sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.52 inference(symmetry,[status(thm)],[71])).
% 17.52/11.52 tff(1620,plain,
% 17.52/11.52 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x5, x3), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.52 inference(symmetry,[status(thm)],[69])).
% 17.52/11.52 tff(1621,plain,
% 17.52/11.52 (sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))) = sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))),
% 17.52/11.52 inference(transitivity,[status(thm)],[1620, 1619])).
% 17.52/11.52 tff(1622,plain,
% 17.52/11.52 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.52 inference(monotonicity,[status(thm)],[1621])).
% 17.52/11.52 tff(1623,plain,
% 17.52/11.52 (sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))) = sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))),
% 17.52/11.53 inference(transitivity,[status(thm)],[1622, 1618, 1616, 1613])).
% 17.52/11.53 tff(1624,plain,
% 17.52/11.53 (sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x5, x3), sep(lseg(x9, x2), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.53 inference(monotonicity,[status(thm)],[1623])).
% 17.52/11.53 tff(1625,plain,
% 17.52/11.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.52/11.53 inference(quant_inst,[status(thm)],[])).
% 17.52/11.53 tff(1626,plain,
% 17.52/11.53 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.53 inference(unit_resolution,[status(thm)],[1625, 7])).
% 17.52/11.53 tff(1627,plain,
% 17.52/11.53 (sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))) = sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))),
% 17.52/11.53 inference(transitivity,[status(thm)],[1626, 1624, 1585, 1564, 1561, 1373, 1376, 1515])).
% 17.52/11.53 tff(1628,plain,
% 17.52/11.53 (sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x1, x11), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.52/11.53 inference(monotonicity,[status(thm)],[1627])).
% 17.52/11.53 tff(1629,plain,
% 17.52/11.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.52/11.53 inference(quant_inst,[status(thm)],[])).
% 17.52/11.53 tff(1630,plain,
% 17.52/11.53 (sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.52/11.53 inference(unit_resolution,[status(thm)],[1629, 7])).
% 17.52/11.53 tff(1631,plain,
% 17.52/11.53 (lseg(x12, x7) = lseg(x12, x10)),
% 17.52/11.53 inference(monotonicity,[status(thm)],[705])).
% 17.52/11.53 tff(1632,plain,
% 17.52/11.53 (lseg(x12, x10) = lseg(x12, x7)),
% 17.52/11.53 inference(symmetry,[status(thm)],[1631])).
% 17.52/11.53 tff(1633,plain,
% 17.52/11.53 (sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x12, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.52/11.53 inference(monotonicity,[status(thm)],[1632])).
% 17.52/11.53 tff(1634,plain,
% 17.52/11.53 (sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))) = sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))),
% 17.52/11.53 inference(transitivity,[status(thm)],[1633, 1630, 1628, 1518, 1307, 1304, 1201, 1199, 1196])).
% 17.52/11.53 tff(1635,plain,
% 17.52/11.53 (sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x2, x9), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x12, x7), sep(lseg(x13, x8), sep(lseg(x4, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.52/11.53 inference(monotonicity,[status(thm)],[1634])).
% 17.52/11.53 tff(1636,plain,
% 17.52/11.53 (sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) = sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))),
% 17.52/11.53 inference(transitivity,[status(thm)],[1635, 845, 842, 747, 744, 728, 725, 715])).
% 17.52/11.53 tff(1637,plain,
% 17.52/11.53 (heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))) <=> heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 17.52/11.53 inference(monotonicity,[status(thm)],[1636])).
% 17.52/11.53 tff(1638,plain,
% 17.52/11.53 (heap(sep(lseg(x5, x3), sep(lseg(x10, x8), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x4, x9), sep(lseg(x2, x9), sep(lseg(x12, x7), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x12), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))) <=> heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 17.52/11.53 inference(symmetry,[status(thm)],[1637])).
% 17.52/11.53 tff(1639,plain,
% 17.52/11.53 (heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))),
% 17.52/11.53 inference(modus_ponens,[status(thm)],[685, 1638])).
% 17.52/11.53 tff(1640,plain,
% 17.52/11.53 ((x7 = x8) <=> (x10 = x8)),
% 17.52/11.53 inference(monotonicity,[status(thm)],[705])).
% 17.52/11.53 tff(1641,plain,
% 17.52/11.53 ((~(x7 = x8)) <=> (~(x10 = x8))),
% 17.52/11.53 inference(monotonicity,[status(thm)],[1640])).
% 17.52/11.53 tff(1642,plain,
% 17.52/11.53 ((~(x7 = x8)) <=> (~(x7 = x8))),
% 17.52/11.53 inference(rewrite,[status(thm)],[])).
% 17.52/11.53 tff(1643,axiom,(~(x7 = x8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_6')).
% 17.52/11.54 tff(1644,plain,
% 17.52/11.54 (~(x7 = x8)),
% 17.52/11.54 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 17.52/11.54 tff(1645,plain,
% 17.52/11.54 (~(x10 = x8)),
% 17.52/11.54 inference(modus_ponens,[status(thm)],[1644, 1641])).
% 17.52/11.54 tff(1646,plain,
% 17.52/11.54 (((~![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))))))) | ((x10 = x8) | heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), 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))))))) | (x10 = x8) | heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))))),
% 17.52/11.54 inference(rewrite,[status(thm)],[])).
% 17.52/11.54 tff(1647,plain,
% 17.52/11.54 ((heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (x10 = x8) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))))) <=> ((x10 = x8) | heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))))),
% 17.52/11.54 inference(rewrite,[status(thm)],[])).
% 17.52/11.54 tff(1648,plain,
% 17.52/11.54 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (x10 = x8) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), 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))))))) | ((x10 = x8) | heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))))))),
% 17.52/11.54 inference(monotonicity,[status(thm)],[1647])).
% 17.52/11.54 tff(1649,plain,
% 17.52/11.54 (((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (x10 = x8) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), 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))))))) | (x10 = x8) | heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))))),
% 17.52/11.54 inference(transitivity,[status(thm)],[1648, 1646])).
% 17.52/11.54 tff(1650,plain,
% 17.52/11.54 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (x10 = x8) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))))))),
% 17.52/11.54 inference(quant_inst,[status(thm)],[])).
% 17.52/11.54 tff(1651,plain,
% 17.52/11.54 ((~![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))) | (Z = W) | (~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))))) | (x10 = x8) | heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))))),
% 17.52/11.54 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 17.52/11.54 tff(1652,plain,
% 17.52/11.54 (heap(sep(lseg(x11, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp)))))))))))) | (~heap(sep(lseg(x11, x12), sep(lseg(x12, x10), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x7), sep(lseg(x11, x1), emp))))))))))))))),
% 17.52/11.54 inference(unit_resolution,[status(thm)],[1651, 696, 1645])).
% 17.52/11.54 tff(1653,plain,
% 17.52/11.54 ($false),
% 17.52/11.54 inference(unit_resolution,[status(thm)],[1652, 1639, 712])).
% 17.52/11.54 tff(1654,plain,(heap(sep(lseg(x11, x7), sep(lseg(x7, x10), sep(lseg(x10, x8), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x1, x11), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x11, x1), sep(lseg(x11, x7), emp))))))))))))), inference(lemma,lemma(discharge,[]))).
% 17.52/11.54 tff(1655,plain,
% 17.52/11.54 (heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))),
% 17.52/11.55 inference(modus_ponens,[status(thm)],[1654, 238])).
% 17.52/11.55 tff(1656,plain,
% 17.52/11.55 ((x11 = x7) <=> (x7 = x11)),
% 17.52/11.55 inference(commutativity,[status(thm)],[])).
% 17.52/11.55 tff(1657,plain,
% 17.52/11.55 ((x7 = x11) <=> (x11 = x7)),
% 17.52/11.55 inference(symmetry,[status(thm)],[1656])).
% 17.52/11.55 tff(1658,plain,
% 17.52/11.55 ((~(x7 = x11)) <=> (~(x11 = x7))),
% 17.52/11.55 inference(monotonicity,[status(thm)],[1657])).
% 17.52/11.55 tff(1659,plain,
% 17.52/11.55 ((~(x7 = x11)) <=> (~(x7 = x11))),
% 17.52/11.55 inference(rewrite,[status(thm)],[])).
% 17.52/11.55 tff(1660,axiom,(~(x7 = x11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_7')).
% 17.52/11.55 tff(1661,plain,
% 17.52/11.55 (~(x7 = x11)),
% 17.52/11.55 inference(modus_ponens,[status(thm)],[1660, 1659])).
% 17.52/11.55 tff(1662,plain,
% 17.52/11.55 (~(x11 = x7)),
% 17.52/11.55 inference(modus_ponens,[status(thm)],[1661, 1658])).
% 17.52/11.55 tff(1663,plain,
% 17.52/11.55 (^[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))))))),
% 17.52/11.55 inference(bind,[status(th)],[])).
% 17.52/11.55 tff(1664,plain,
% 17.52/11.55 (![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)))))),
% 17.52/11.55 inference(quant_intro,[status(thm)],[1663])).
% 17.52/11.55 tff(1665,plain,
% 17.52/11.55 (![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)))))),
% 17.52/11.55 inference(rewrite,[status(thm)],[])).
% 17.52/11.55 tff(1666,plain,
% 17.52/11.55 (^[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))))))),
% 17.52/11.55 inference(bind,[status(th)],[])).
% 17.52/11.55 tff(1667,plain,
% 17.52/11.55 (![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)))))),
% 17.52/11.55 inference(quant_intro,[status(thm)],[1666])).
% 17.52/11.55 tff(1668,axiom,(![Sigma: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))) | (X = Y)) | (X = Z))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax','wellformedness_5')).
% 17.52/11.55 tff(1669,plain,
% 17.52/11.55 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 17.52/11.55 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 17.52/11.55 tff(1670,plain,
% 17.52/11.55 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 17.52/11.55 inference(modus_ponens,[status(thm)],[1669, 1665])).
% 17.52/11.55 tff(1671,plain,(
% 17.52/11.55 ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 17.52/11.55 inference(skolemize,[status(sab)],[1670])).
% 17.52/11.55 tff(1672,plain,
% 17.52/11.55 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 17.52/11.55 inference(modus_ponens,[status(thm)],[1671, 1664])).
% 17.52/11.55 tff(1673,plain,
% 17.52/11.55 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))))),
% 17.52/11.55 inference(rewrite,[status(thm)],[])).
% 17.52/11.55 tff(1674,plain,
% 17.52/11.55 (((x11 = x7) | (x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))))) <=> ((x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))))),
% 17.63/11.59 inference(rewrite,[status(thm)],[])).
% 17.63/11.59 tff(1675,plain,
% 17.63/11.59 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x7) | (x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))))))),
% 17.63/11.59 inference(monotonicity,[status(thm)],[1674])).
% 17.63/11.59 tff(1676,plain,
% 17.63/11.59 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x7) | (x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))))),
% 17.63/11.59 inference(transitivity,[status(thm)],[1675, 1673])).
% 17.63/11.59 tff(1677,plain,
% 17.63/11.59 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x7) | (x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))))),
% 17.63/11.59 inference(quant_inst,[status(thm)],[])).
% 17.63/11.59 tff(1678,plain,
% 17.63/11.59 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x7) | (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp)))))))))))))),
% 17.63/11.59 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 17.63/11.59 tff(1679,plain,
% 17.63/11.59 (~heap(sep(lseg(x11, x7), sep(lseg(x11, x7), sep(lseg(x10, x8), sep(lseg(x1, x11), sep(lseg(x5, x3), sep(lseg(x4, x9), sep(lseg(x13, x8), sep(lseg(x2, x9), sep(lseg(x9, x2), sep(lseg(x7, x10), sep(lseg(x11, x1), emp))))))))))))),
% 17.63/11.59 inference(unit_resolution,[status(thm)],[1678, 1672, 1662])).
% 17.63/11.59 tff(1680,plain,
% 17.63/11.59 ($false),
% 17.63/11.59 inference(unit_resolution,[status(thm)],[1679, 1655])).
% 17.63/11.59 % SZS output end Proof
%------------------------------------------------------------------------------