TSTP Solution File: SWW445-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW445-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 20:58:43 EDT 2022
% Result : Unsatisfiable 48.35s 31.27s
% Output : Proof 48.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW445-1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 16:58:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 48.35/31.27 % SZS status Unsatisfiable
% 48.35/31.27 % SZS output start Proof
% 48.35/31.27 tff(heap_type, type, (
% 48.35/31.27 heap: $i > $o)).
% 48.35/31.27 tff(sep_type, type, (
% 48.35/31.27 sep: ( $i * $i ) > $i)).
% 48.35/31.27 tff(emp_type, type, (
% 48.35/31.27 emp: $i)).
% 48.35/31.27 tff(lseg_type, type, (
% 48.35/31.27 lseg: ( $i * $i ) > $i)).
% 48.35/31.27 tff(x19_type, type, (
% 48.35/31.27 x19: $i)).
% 48.35/31.27 tff(x6_type, type, (
% 48.35/31.27 x6: $i)).
% 48.35/31.27 tff(x17_type, type, (
% 48.35/31.27 x17: $i)).
% 48.35/31.27 tff(x12_type, type, (
% 48.35/31.27 x12: $i)).
% 48.35/31.27 tff(x11_type, type, (
% 48.35/31.27 x11: $i)).
% 48.35/31.27 tff(x3_type, type, (
% 48.35/31.27 x3: $i)).
% 48.35/31.27 tff(x16_type, type, (
% 48.35/31.27 x16: $i)).
% 48.35/31.27 tff(x7_type, type, (
% 48.35/31.27 x7: $i)).
% 48.35/31.27 tff(x14_type, type, (
% 48.35/31.27 x14: $i)).
% 48.35/31.27 tff(x15_type, type, (
% 48.35/31.27 x15: $i)).
% 48.35/31.27 tff(x18_type, type, (
% 48.35/31.27 x18: $i)).
% 48.35/31.27 tff(x2_type, type, (
% 48.35/31.27 x2: $i)).
% 48.35/31.27 tff(x4_type, type, (
% 48.35/31.27 x4: $i)).
% 48.35/31.27 tff(x5_type, type, (
% 48.35/31.27 x5: $i)).
% 48.35/31.27 tff(x1_type, type, (
% 48.35/31.27 x1: $i)).
% 48.35/31.27 tff(x20_type, type, (
% 48.35/31.27 x20: $i)).
% 48.35/31.27 tff(1,plain,
% 48.35/31.27 (^[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))))),
% 48.35/31.27 inference(bind,[status(th)],[])).
% 48.35/31.27 tff(2,plain,
% 48.35/31.27 (![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)))),
% 48.35/31.27 inference(quant_intro,[status(thm)],[1])).
% 48.35/31.27 tff(3,plain,
% 48.35/31.27 (![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)))),
% 48.35/31.27 inference(rewrite,[status(thm)],[])).
% 48.35/31.27 tff(4,axiom,(![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax','associative_commutative')).
% 48.35/31.27 tff(5,plain,
% 48.35/31.27 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 48.35/31.27 inference(modus_ponens,[status(thm)],[4, 3])).
% 48.35/31.27 tff(6,plain,(
% 48.35/31.27 ![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 48.35/31.27 inference(skolemize,[status(sab)],[5])).
% 48.35/31.27 tff(7,plain,
% 48.35/31.27 (![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))),
% 48.35/31.27 inference(modus_ponens,[status(thm)],[6, 2])).
% 48.35/31.27 tff(8,plain,
% 48.35/31.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.27 inference(quant_inst,[status(thm)],[])).
% 48.35/31.27 tff(9,plain,
% 48.35/31.27 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.27 inference(unit_resolution,[status(thm)],[8, 7])).
% 48.35/31.27 tff(10,plain,
% 48.35/31.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.27 inference(quant_inst,[status(thm)],[])).
% 48.35/31.27 tff(11,plain,
% 48.35/31.27 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.35/31.27 inference(unit_resolution,[status(thm)],[10, 7])).
% 48.35/31.27 tff(12,plain,
% 48.35/31.27 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.35/31.27 inference(symmetry,[status(thm)],[11])).
% 48.35/31.27 tff(13,plain,
% 48.35/31.27 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.27 inference(monotonicity,[status(thm)],[12])).
% 48.35/31.27 tff(14,plain,
% 48.35/31.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.27 inference(quant_inst,[status(thm)],[])).
% 48.35/31.27 tff(15,plain,
% 48.35/31.27 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.27 inference(unit_resolution,[status(thm)],[14, 7])).
% 48.35/31.27 tff(16,plain,
% 48.35/31.27 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.27 inference(symmetry,[status(thm)],[15])).
% 48.35/31.27 tff(17,plain,
% 48.35/31.27 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.27 inference(transitivity,[status(thm)],[16, 13, 9])).
% 48.35/31.27 tff(18,plain,
% 48.35/31.27 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.27 inference(monotonicity,[status(thm)],[17])).
% 48.35/31.27 tff(19,plain,
% 48.35/31.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.27 inference(quant_inst,[status(thm)],[])).
% 48.35/31.27 tff(20,plain,
% 48.35/31.27 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.27 inference(unit_resolution,[status(thm)],[19, 7])).
% 48.35/31.27 tff(21,plain,
% 48.35/31.27 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.27 inference(symmetry,[status(thm)],[20])).
% 48.35/31.27 tff(22,plain,
% 48.35/31.27 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.27 inference(transitivity,[status(thm)],[21, 18])).
% 48.35/31.27 tff(23,plain,
% 48.35/31.27 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.27 inference(monotonicity,[status(thm)],[22])).
% 48.35/31.27 tff(24,plain,
% 48.35/31.27 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.27 inference(monotonicity,[status(thm)],[23])).
% 48.35/31.27 tff(25,plain,
% 48.35/31.27 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.27 inference(quant_inst,[status(thm)],[])).
% 48.35/31.27 tff(26,plain,
% 48.35/31.27 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.27 inference(unit_resolution,[status(thm)],[25, 7])).
% 48.35/31.27 tff(27,plain,
% 48.35/31.27 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.27 inference(symmetry,[status(thm)],[26])).
% 48.35/31.27 tff(28,plain,
% 48.35/31.27 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.28 inference(monotonicity,[status(thm)],[22])).
% 48.35/31.28 tff(29,plain,
% 48.35/31.28 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.28 inference(symmetry,[status(thm)],[28])).
% 48.35/31.28 tff(30,plain,
% 48.35/31.28 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.28 inference(monotonicity,[status(thm)],[29])).
% 48.35/31.28 tff(31,plain,
% 48.35/31.28 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.28 inference(symmetry,[status(thm)],[13])).
% 48.35/31.28 tff(32,plain,
% 48.35/31.28 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.28 inference(symmetry,[status(thm)],[9])).
% 48.35/31.28 tff(33,plain,
% 48.35/31.28 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.28 inference(transitivity,[status(thm)],[32, 31])).
% 48.35/31.28 tff(34,plain,
% 48.35/31.28 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.28 inference(monotonicity,[status(thm)],[33])).
% 48.35/31.28 tff(35,plain,
% 48.35/31.28 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.28 inference(symmetry,[status(thm)],[34])).
% 48.35/31.28 tff(36,plain,
% 48.35/31.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.28 inference(quant_inst,[status(thm)],[])).
% 48.35/31.28 tff(37,plain,
% 48.35/31.28 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.28 inference(unit_resolution,[status(thm)],[36, 7])).
% 48.35/31.28 tff(38,plain,
% 48.35/31.28 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.28 inference(symmetry,[status(thm)],[37])).
% 48.35/31.28 tff(39,plain,
% 48.35/31.28 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.28 inference(transitivity,[status(thm)],[38, 35])).
% 48.35/31.28 tff(40,plain,
% 48.35/31.28 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.28 inference(monotonicity,[status(thm)],[39])).
% 48.35/31.28 tff(41,plain,
% 48.35/31.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.28 inference(quant_inst,[status(thm)],[])).
% 48.35/31.28 tff(42,plain,
% 48.35/31.28 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.28 inference(unit_resolution,[status(thm)],[41, 7])).
% 48.35/31.28 tff(43,plain,
% 48.35/31.28 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.28 inference(symmetry,[status(thm)],[42])).
% 48.35/31.28 tff(44,plain,
% 48.35/31.28 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.28 inference(transitivity,[status(thm)],[43, 40])).
% 48.35/31.28 tff(45,plain,
% 48.35/31.28 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.28 inference(monotonicity,[status(thm)],[44])).
% 48.35/31.28 tff(46,plain,
% 48.35/31.28 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.28 inference(quant_inst,[status(thm)],[])).
% 48.35/31.28 tff(47,plain,
% 48.35/31.28 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.28 inference(unit_resolution,[status(thm)],[46, 7])).
% 48.35/31.28 tff(48,plain,
% 48.35/31.28 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.28 inference(symmetry,[status(thm)],[47])).
% 48.35/31.28 tff(49,plain,
% 48.35/31.28 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.28 inference(transitivity,[status(thm)],[48, 45, 30, 27, 24])).
% 48.35/31.28 tff(50,plain,
% 48.35/31.28 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.28 inference(monotonicity,[status(thm)],[49])).
% 48.35/31.28 tff(51,plain,
% 48.35/31.28 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[50])).
% 48.35/31.29 tff(52,plain,
% 48.35/31.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(quant_inst,[status(thm)],[])).
% 48.35/31.29 tff(53,plain,
% 48.35/31.29 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(unit_resolution,[status(thm)],[52, 7])).
% 48.35/31.29 tff(54,plain,
% 48.35/31.29 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[53])).
% 48.35/31.29 tff(55,plain,
% 48.35/31.29 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[54])).
% 48.35/31.29 tff(56,plain,
% 48.35/31.29 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[55])).
% 48.35/31.29 tff(57,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[56])).
% 48.35/31.29 tff(58,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[57])).
% 48.35/31.29 tff(59,plain,
% 48.35/31.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.29 inference(quant_inst,[status(thm)],[])).
% 48.35/31.29 tff(60,plain,
% 48.35/31.29 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.29 inference(unit_resolution,[status(thm)],[59, 7])).
% 48.35/31.29 tff(61,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[32])).
% 48.35/31.29 tff(62,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[61])).
% 48.35/31.29 tff(63,plain,
% 48.35/31.29 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[62])).
% 48.35/31.29 tff(64,plain,
% 48.35/31.29 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[63])).
% 48.35/31.29 tff(65,plain,
% 48.35/31.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(quant_inst,[status(thm)],[])).
% 48.35/31.29 tff(66,plain,
% 48.35/31.29 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(unit_resolution,[status(thm)],[65, 7])).
% 48.35/31.29 tff(67,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[66])).
% 48.35/31.29 tff(68,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[22])).
% 48.35/31.29 tff(69,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(transitivity,[status(thm)],[68, 67, 64])).
% 48.35/31.29 tff(70,plain,
% 48.35/31.29 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[69])).
% 48.35/31.29 tff(71,plain,
% 48.35/31.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.29 inference(quant_inst,[status(thm)],[])).
% 48.35/31.29 tff(72,plain,
% 48.35/31.29 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(unit_resolution,[status(thm)],[71, 7])).
% 48.35/31.29 tff(73,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[72])).
% 48.35/31.29 tff(74,plain,
% 48.35/31.29 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[23])).
% 48.35/31.29 tff(75,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[74])).
% 48.35/31.29 tff(76,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[54])).
% 48.35/31.29 tff(77,plain,
% 48.35/31.29 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.29 inference(transitivity,[status(thm)],[76, 75, 73, 70])).
% 48.35/31.29 tff(78,plain,
% 48.35/31.29 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.29 inference(monotonicity,[status(thm)],[77])).
% 48.35/31.29 tff(79,plain,
% 48.35/31.29 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.29 inference(symmetry,[status(thm)],[78])).
% 48.35/31.29 tff(80,plain,
% 48.35/31.29 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(quant_inst,[status(thm)],[])).
% 48.35/31.30 tff(81,plain,
% 48.35/31.30 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.30 inference(unit_resolution,[status(thm)],[80, 7])).
% 48.35/31.30 tff(82,plain,
% 48.35/31.30 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.30 inference(transitivity,[status(thm)],[16, 13])).
% 48.35/31.30 tff(83,plain,
% 48.35/31.30 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[82])).
% 48.35/31.30 tff(84,plain,
% 48.35/31.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(quant_inst,[status(thm)],[])).
% 48.35/31.30 tff(85,plain,
% 48.35/31.30 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.30 inference(unit_resolution,[status(thm)],[84, 7])).
% 48.35/31.30 tff(86,plain,
% 48.35/31.30 (sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.30 inference(symmetry,[status(thm)],[85])).
% 48.35/31.30 tff(87,plain,
% 48.35/31.30 (sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.30 inference(transitivity,[status(thm)],[86, 83, 62, 81])).
% 48.35/31.30 tff(88,plain,
% 48.35/31.30 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[87])).
% 48.35/31.30 tff(89,plain,
% 48.35/31.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.30 inference(quant_inst,[status(thm)],[])).
% 48.35/31.30 tff(90,plain,
% 48.35/31.30 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(unit_resolution,[status(thm)],[89, 7])).
% 48.35/31.30 tff(91,plain,
% 48.35/31.30 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(symmetry,[status(thm)],[90])).
% 48.35/31.30 tff(92,plain,
% 48.35/31.30 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(transitivity,[status(thm)],[91, 88])).
% 48.35/31.30 tff(93,plain,
% 48.35/31.30 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[92])).
% 48.35/31.30 tff(94,plain,
% 48.35/31.30 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.30 inference(symmetry,[status(thm)],[93])).
% 48.35/31.30 tff(95,plain,
% 48.35/31.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.30 inference(quant_inst,[status(thm)],[])).
% 48.35/31.30 tff(96,plain,
% 48.35/31.30 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.30 inference(unit_resolution,[status(thm)],[95, 7])).
% 48.35/31.30 tff(97,plain,
% 48.35/31.30 (sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.30 inference(symmetry,[status(thm)],[81])).
% 48.35/31.30 tff(98,plain,
% 48.35/31.30 (sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.30 inference(transitivity,[status(thm)],[97, 61])).
% 48.35/31.30 tff(99,plain,
% 48.35/31.30 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[98])).
% 48.35/31.30 tff(100,plain,
% 48.35/31.30 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(symmetry,[status(thm)],[99])).
% 48.35/31.30 tff(101,plain,
% 48.35/31.30 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[100])).
% 48.35/31.30 tff(102,plain,
% 48.35/31.30 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.30 inference(transitivity,[status(thm)],[101, 96, 94])).
% 48.35/31.30 tff(103,plain,
% 48.35/31.30 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[102])).
% 48.35/31.30 tff(104,plain,
% 48.35/31.30 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.30 inference(symmetry,[status(thm)],[103])).
% 48.35/31.30 tff(105,plain,
% 48.35/31.30 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.30 inference(quant_inst,[status(thm)],[])).
% 48.35/31.30 tff(106,plain,
% 48.35/31.30 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.30 inference(unit_resolution,[status(thm)],[105, 7])).
% 48.35/31.30 tff(107,plain,
% 48.35/31.30 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[98])).
% 48.35/31.30 tff(108,plain,
% 48.35/31.30 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.30 inference(symmetry,[status(thm)],[107])).
% 48.35/31.30 tff(109,plain,
% 48.35/31.30 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.30 inference(monotonicity,[status(thm)],[108])).
% 48.35/31.30 tff(110,plain,
% 48.35/31.30 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(symmetry,[status(thm)],[109])).
% 48.35/31.31 tff(111,plain,
% 48.35/31.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.31 inference(quant_inst,[status(thm)],[])).
% 48.35/31.31 tff(112,plain,
% 48.35/31.31 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(unit_resolution,[status(thm)],[111, 7])).
% 48.35/31.31 tff(113,plain,
% 48.35/31.31 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(symmetry,[status(thm)],[112])).
% 48.35/31.31 tff(114,plain,
% 48.35/31.31 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(monotonicity,[status(thm)],[92])).
% 48.35/31.31 tff(115,plain,
% 48.35/31.31 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(transitivity,[status(thm)],[114, 113, 110])).
% 48.35/31.31 tff(116,plain,
% 48.35/31.31 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.31 inference(monotonicity,[status(thm)],[115])).
% 48.35/31.31 tff(117,plain,
% 48.35/31.31 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.31 inference(symmetry,[status(thm)],[116])).
% 48.35/31.31 tff(118,plain,
% 48.35/31.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.31 inference(quant_inst,[status(thm)],[])).
% 48.35/31.31 tff(119,plain,
% 48.35/31.31 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.31 inference(unit_resolution,[status(thm)],[118, 7])).
% 48.35/31.31 tff(120,plain,
% 48.35/31.31 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.31 inference(monotonicity,[status(thm)],[31])).
% 48.35/31.31 tff(121,plain,
% 48.35/31.31 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.31 inference(transitivity,[status(thm)],[120, 119])).
% 48.35/31.31 tff(122,plain,
% 48.35/31.31 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.31 inference(monotonicity,[status(thm)],[121])).
% 48.35/31.31 tff(123,plain,
% 48.35/31.31 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.31 inference(symmetry,[status(thm)],[122])).
% 48.35/31.31 tff(124,plain,
% 48.35/31.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(quant_inst,[status(thm)],[])).
% 48.35/31.31 tff(125,plain,
% 48.35/31.31 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.31 inference(unit_resolution,[status(thm)],[124, 7])).
% 48.35/31.31 tff(126,plain,
% 48.35/31.31 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.31 inference(symmetry,[status(thm)],[125])).
% 48.35/31.31 tff(127,plain,
% 48.35/31.31 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.31 inference(transitivity,[status(thm)],[126, 123])).
% 48.35/31.31 tff(128,plain,
% 48.35/31.31 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(monotonicity,[status(thm)],[127])).
% 48.35/31.31 tff(129,plain,
% 48.35/31.31 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.31 inference(quant_inst,[status(thm)],[])).
% 48.35/31.31 tff(130,plain,
% 48.35/31.31 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(unit_resolution,[status(thm)],[129, 7])).
% 48.35/31.31 tff(131,plain,
% 48.35/31.31 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.31 inference(symmetry,[status(thm)],[130])).
% 48.35/31.31 tff(132,plain,
% 48.35/31.31 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.32 inference(transitivity,[status(thm)],[131, 128])).
% 48.35/31.32 tff(133,plain,
% 48.35/31.32 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[132])).
% 48.35/31.32 tff(134,plain,
% 48.35/31.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.32 inference(quant_inst,[status(thm)],[])).
% 48.35/31.32 tff(135,plain,
% 48.35/31.32 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.32 inference(unit_resolution,[status(thm)],[134, 7])).
% 48.35/31.32 tff(136,plain,
% 48.35/31.32 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.32 inference(symmetry,[status(thm)],[135])).
% 48.35/31.32 tff(137,plain,
% 48.35/31.32 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.32 inference(transitivity,[status(thm)],[32, 31, 15])).
% 48.35/31.32 tff(138,plain,
% 48.35/31.32 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[137])).
% 48.35/31.32 tff(139,plain,
% 48.35/31.32 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.32 inference(symmetry,[status(thm)],[138])).
% 48.35/31.32 tff(140,plain,
% 48.35/31.32 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.32 inference(transitivity,[status(thm)],[21, 139])).
% 48.35/31.32 tff(141,plain,
% 48.35/31.32 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[140])).
% 48.35/31.32 tff(142,plain,
% 48.35/31.32 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.32 inference(symmetry,[status(thm)],[141])).
% 48.35/31.32 tff(143,plain,
% 48.35/31.32 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[142])).
% 48.35/31.32 tff(144,plain,
% 48.35/31.32 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.32 inference(symmetry,[status(thm)],[143])).
% 48.35/31.32 tff(145,plain,
% 48.35/31.32 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[140])).
% 48.35/31.32 tff(146,plain,
% 48.35/31.32 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.32 inference(symmetry,[status(thm)],[145])).
% 48.35/31.32 tff(147,plain,
% 48.35/31.32 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[146])).
% 48.35/31.32 tff(148,plain,
% 48.35/31.32 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.35/31.32 inference(transitivity,[status(thm)],[13, 9])).
% 48.35/31.32 tff(149,plain,
% 48.35/31.32 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[148])).
% 48.35/31.32 tff(150,plain,
% 48.35/31.32 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.32 inference(transitivity,[status(thm)],[38, 149])).
% 48.35/31.32 tff(151,plain,
% 48.35/31.32 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[150])).
% 48.35/31.32 tff(152,plain,
% 48.35/31.32 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.32 inference(transitivity,[status(thm)],[43, 151])).
% 48.35/31.32 tff(153,plain,
% 48.35/31.32 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[152])).
% 48.35/31.32 tff(154,plain,
% 48.35/31.32 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.32 inference(transitivity,[status(thm)],[48, 153, 147, 27, 144])).
% 48.35/31.32 tff(155,plain,
% 48.35/31.32 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[154])).
% 48.35/31.32 tff(156,plain,
% 48.35/31.32 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.32 inference(symmetry,[status(thm)],[155])).
% 48.35/31.32 tff(157,plain,
% 48.35/31.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.32 inference(quant_inst,[status(thm)],[])).
% 48.35/31.32 tff(158,plain,
% 48.35/31.32 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.32 inference(unit_resolution,[status(thm)],[157, 7])).
% 48.35/31.32 tff(159,plain,
% 48.35/31.32 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[32])).
% 48.35/31.32 tff(160,plain,
% 48.35/31.32 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.32 inference(monotonicity,[status(thm)],[159])).
% 48.35/31.32 tff(161,plain,
% 48.35/31.32 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(quant_inst,[status(thm)],[])).
% 48.35/31.33 tff(162,plain,
% 48.35/31.33 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(unit_resolution,[status(thm)],[161, 7])).
% 48.35/31.33 tff(163,plain,
% 48.35/31.33 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[162])).
% 48.35/31.33 tff(164,plain,
% 48.35/31.33 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(transitivity,[status(thm)],[163, 160])).
% 48.35/31.33 tff(165,plain,
% 48.35/31.33 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(monotonicity,[status(thm)],[164])).
% 48.35/31.33 tff(166,plain,
% 48.35/31.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.33 inference(quant_inst,[status(thm)],[])).
% 48.35/31.33 tff(167,plain,
% 48.35/31.33 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(unit_resolution,[status(thm)],[166, 7])).
% 48.35/31.33 tff(168,plain,
% 48.35/31.33 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[167])).
% 48.35/31.33 tff(169,plain,
% 48.35/31.33 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(transitivity,[status(thm)],[168, 165])).
% 48.35/31.33 tff(170,plain,
% 48.35/31.33 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.33 inference(monotonicity,[status(thm)],[169])).
% 48.35/31.33 tff(171,plain,
% 48.35/31.33 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[170])).
% 48.35/31.33 tff(172,plain,
% 48.35/31.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(quant_inst,[status(thm)],[])).
% 48.35/31.33 tff(173,plain,
% 48.35/31.33 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.35/31.33 inference(unit_resolution,[status(thm)],[172, 7])).
% 48.35/31.33 tff(174,plain,
% 48.35/31.33 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(monotonicity,[status(thm)],[173])).
% 48.35/31.33 tff(175,plain,
% 48.35/31.33 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[174])).
% 48.35/31.33 tff(176,plain,
% 48.35/31.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(quant_inst,[status(thm)],[])).
% 48.35/31.33 tff(177,plain,
% 48.35/31.33 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(unit_resolution,[status(thm)],[176, 7])).
% 48.35/31.33 tff(178,plain,
% 48.35/31.33 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[177])).
% 48.35/31.33 tff(179,plain,
% 48.35/31.33 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.35/31.33 inference(transitivity,[status(thm)],[178, 175])).
% 48.35/31.33 tff(180,plain,
% 48.35/31.33 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(monotonicity,[status(thm)],[179])).
% 48.35/31.33 tff(181,plain,
% 48.35/31.33 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[180])).
% 48.35/31.33 tff(182,plain,
% 48.35/31.33 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.33 inference(monotonicity,[status(thm)],[181])).
% 48.35/31.33 tff(183,plain,
% 48.35/31.33 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[182])).
% 48.35/31.33 tff(184,plain,
% 48.35/31.33 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.33 inference(quant_inst,[status(thm)],[])).
% 48.35/31.33 tff(185,plain,
% 48.35/31.33 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.33 inference(unit_resolution,[status(thm)],[184, 7])).
% 48.35/31.33 tff(186,plain,
% 48.35/31.33 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.33 inference(symmetry,[status(thm)],[185])).
% 48.35/31.33 tff(187,plain,
% 48.35/31.33 (^[Sigma: $i, X: $i] : refl((sep(lseg(X, X), Sigma) = Sigma) <=> (sep(lseg(X, X), Sigma) = Sigma))),
% 48.35/31.33 inference(bind,[status(th)],[])).
% 48.35/31.33 tff(188,plain,
% 48.35/31.33 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 48.35/31.33 inference(quant_intro,[status(thm)],[187])).
% 48.35/31.33 tff(189,plain,
% 48.35/31.33 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma) <=> ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 48.35/31.33 inference(rewrite,[status(thm)],[])).
% 48.35/31.33 tff(190,axiom,(![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)), file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax','normalization')).
% 48.35/31.33 tff(191,plain,
% 48.35/31.33 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 48.35/31.33 inference(modus_ponens,[status(thm)],[190, 189])).
% 48.35/31.33 tff(192,plain,(
% 48.35/31.33 ![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 48.35/31.33 inference(skolemize,[status(sab)],[191])).
% 48.35/31.33 tff(193,plain,
% 48.35/31.33 (![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)),
% 48.35/31.33 inference(modus_ponens,[status(thm)],[192, 188])).
% 48.35/31.33 tff(194,plain,
% 48.35/31.33 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x20, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.33 inference(quant_inst,[status(thm)],[])).
% 48.35/31.33 tff(195,plain,
% 48.35/31.33 (sep(lseg(x20, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.34 inference(unit_resolution,[status(thm)],[194, 193])).
% 48.35/31.34 tff(196,plain,
% 48.35/31.34 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.34 inference(transitivity,[status(thm)],[182, 185])).
% 48.35/31.34 tff(197,assumption,(x12 = x20), introduced(assumption)).
% 48.35/31.34 tff(198,plain,
% 48.35/31.34 (x20 = x12),
% 48.35/31.34 inference(symmetry,[status(thm)],[197])).
% 48.35/31.34 tff(199,plain,
% 48.35/31.34 (lseg(x20, x20) = lseg(x12, x20)),
% 48.35/31.34 inference(monotonicity,[status(thm)],[198])).
% 48.35/31.34 tff(200,plain,
% 48.35/31.34 (lseg(x12, x20) = lseg(x20, x20)),
% 48.35/31.34 inference(symmetry,[status(thm)],[199])).
% 48.35/31.34 tff(201,plain,
% 48.35/31.34 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x20, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.34 inference(monotonicity,[status(thm)],[200, 196])).
% 48.35/31.34 tff(202,plain,
% 48.35/31.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.35/31.34 inference(quant_inst,[status(thm)],[])).
% 48.35/31.34 tff(203,plain,
% 48.35/31.34 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.34 inference(unit_resolution,[status(thm)],[202, 7])).
% 48.35/31.34 tff(204,plain,
% 48.35/31.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.34 inference(quant_inst,[status(thm)],[])).
% 48.35/31.34 tff(205,plain,
% 48.35/31.34 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.34 inference(unit_resolution,[status(thm)],[204, 7])).
% 48.35/31.34 tff(206,plain,
% 48.35/31.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.34 inference(quant_inst,[status(thm)],[])).
% 48.35/31.34 tff(207,plain,
% 48.35/31.34 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.35/31.34 inference(unit_resolution,[status(thm)],[206, 7])).
% 48.35/31.34 tff(208,plain,
% 48.35/31.34 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.34 inference(monotonicity,[status(thm)],[207])).
% 48.35/31.34 tff(209,plain,
% 48.35/31.34 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.35/31.34 inference(transitivity,[status(thm)],[208, 205])).
% 48.35/31.34 tff(210,plain,
% 48.35/31.34 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.35/31.34 inference(monotonicity,[status(thm)],[209])).
% 48.35/31.34 tff(211,plain,
% 48.35/31.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.43/31.34 inference(quant_inst,[status(thm)],[])).
% 48.43/31.34 tff(212,plain,
% 48.43/31.34 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.43/31.34 inference(unit_resolution,[status(thm)],[211, 7])).
% 48.43/31.34 tff(213,plain,
% 48.43/31.34 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.43/31.34 inference(transitivity,[status(thm)],[212, 210, 203, 201, 195, 186, 183, 171, 158, 156])).
% 48.43/31.34 tff(214,plain,
% 48.43/31.34 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.43/31.34 inference(monotonicity,[status(thm)],[213])).
% 48.43/31.34 tff(215,plain,
% 48.43/31.34 (heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.43/31.34 inference(symmetry,[status(thm)],[214])).
% 48.43/31.34 tff(216,plain,
% 48.43/31.34 ((~heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> (~heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.43/31.34 inference(monotonicity,[status(thm)],[215])).
% 48.43/31.34 tff(217,plain,
% 48.43/31.34 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.34 inference(monotonicity,[status(thm)],[179])).
% 48.43/31.34 tff(218,plain,
% 48.43/31.34 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.34 inference(symmetry,[status(thm)],[217])).
% 48.43/31.34 tff(219,plain,
% 48.43/31.34 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.43/31.34 inference(monotonicity,[status(thm)],[218])).
% 48.43/31.34 tff(220,plain,
% 48.43/31.34 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.34 inference(monotonicity,[status(thm)],[174])).
% 48.43/31.34 tff(221,plain,
% 48.43/31.34 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.34 inference(symmetry,[status(thm)],[220])).
% 48.43/31.34 tff(222,plain,
% 48.43/31.34 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.43/31.34 inference(quant_inst,[status(thm)],[])).
% 48.43/31.34 tff(223,plain,
% 48.43/31.34 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.34 inference(unit_resolution,[status(thm)],[222, 7])).
% 48.43/31.34 tff(224,plain,
% 48.43/31.34 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[223])).
% 48.43/31.35 tff(225,plain,
% 48.43/31.35 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(monotonicity,[status(thm)],[11])).
% 48.43/31.35 tff(226,plain,
% 48.43/31.35 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[225])).
% 48.43/31.35 tff(227,plain,
% 48.43/31.35 (sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.35 inference(monotonicity,[status(thm)],[226])).
% 48.43/31.35 tff(228,plain,
% 48.43/31.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(quant_inst,[status(thm)],[])).
% 48.43/31.35 tff(229,plain,
% 48.43/31.35 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.35 inference(unit_resolution,[status(thm)],[228, 7])).
% 48.43/31.35 tff(230,plain,
% 48.43/31.35 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[229])).
% 48.43/31.35 tff(231,plain,
% 48.43/31.35 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(monotonicity,[status(thm)],[230])).
% 48.43/31.35 tff(232,plain,
% 48.43/31.35 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(monotonicity,[status(thm)],[231])).
% 48.43/31.35 tff(233,plain,
% 48.43/31.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.35 inference(quant_inst,[status(thm)],[])).
% 48.43/31.35 tff(234,plain,
% 48.43/31.35 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(unit_resolution,[status(thm)],[233, 7])).
% 48.43/31.35 tff(235,plain,
% 48.43/31.35 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[234])).
% 48.43/31.35 tff(236,plain,
% 48.43/31.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(quant_inst,[status(thm)],[])).
% 48.43/31.35 tff(237,plain,
% 48.43/31.35 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.35 inference(unit_resolution,[status(thm)],[236, 7])).
% 48.43/31.35 tff(238,plain,
% 48.43/31.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.35 inference(quant_inst,[status(thm)],[])).
% 48.43/31.35 tff(239,plain,
% 48.43/31.35 (sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.43/31.35 inference(unit_resolution,[status(thm)],[238, 7])).
% 48.43/31.35 tff(240,plain,
% 48.43/31.35 (sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[239])).
% 48.43/31.35 tff(241,plain,
% 48.43/31.35 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.35 inference(monotonicity,[status(thm)],[240])).
% 48.43/31.35 tff(242,plain,
% 48.43/31.35 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[241])).
% 48.43/31.35 tff(243,plain,
% 48.43/31.35 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.35 inference(transitivity,[status(thm)],[230, 242, 237])).
% 48.43/31.35 tff(244,plain,
% 48.43/31.35 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(monotonicity,[status(thm)],[243])).
% 48.43/31.35 tff(245,plain,
% 48.43/31.35 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[244])).
% 48.43/31.35 tff(246,plain,
% 48.43/31.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(quant_inst,[status(thm)],[])).
% 48.43/31.35 tff(247,plain,
% 48.43/31.35 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(unit_resolution,[status(thm)],[246, 7])).
% 48.43/31.35 tff(248,plain,
% 48.43/31.35 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(symmetry,[status(thm)],[247])).
% 48.43/31.35 tff(249,plain,
% 48.43/31.35 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.35 inference(transitivity,[status(thm)],[248, 245])).
% 48.43/31.35 tff(250,plain,
% 48.43/31.35 (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(monotonicity,[status(thm)],[249])).
% 48.43/31.35 tff(251,plain,
% 48.43/31.35 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.35 inference(quant_inst,[status(thm)],[])).
% 48.43/31.35 tff(252,plain,
% 48.43/31.35 (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.35 inference(unit_resolution,[status(thm)],[251, 7])).
% 48.43/31.35 tff(253,plain,
% 48.43/31.35 (sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[252])).
% 48.43/31.36 tff(254,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.36 inference(transitivity,[status(thm)],[253, 250, 235, 232, 225])).
% 48.43/31.36 tff(255,plain,
% 48.43/31.36 (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[254])).
% 48.43/31.36 tff(256,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.43/31.36 inference(quant_inst,[status(thm)],[])).
% 48.43/31.36 tff(257,plain,
% 48.43/31.36 (sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.36 inference(unit_resolution,[status(thm)],[256, 7])).
% 48.43/31.36 tff(258,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[257])).
% 48.43/31.36 tff(259,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.36 inference(transitivity,[status(thm)],[258, 255, 227])).
% 48.43/31.36 tff(260,plain,
% 48.43/31.36 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[259])).
% 48.43/31.36 tff(261,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.36 inference(quant_inst,[status(thm)],[])).
% 48.43/31.36 tff(262,plain,
% 48.43/31.36 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.43/31.36 inference(unit_resolution,[status(thm)],[261, 7])).
% 48.43/31.36 tff(263,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[262])).
% 48.43/31.36 tff(264,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.43/31.36 inference(transitivity,[status(thm)],[263, 260])).
% 48.43/31.36 tff(265,plain,
% 48.43/31.36 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[264])).
% 48.43/31.36 tff(266,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.43/31.36 inference(quant_inst,[status(thm)],[])).
% 48.43/31.36 tff(267,plain,
% 48.43/31.36 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.36 inference(unit_resolution,[status(thm)],[266, 7])).
% 48.43/31.36 tff(268,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[267])).
% 48.43/31.36 tff(269,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.43/31.36 inference(transitivity,[status(thm)],[268, 265, 224, 221])).
% 48.43/31.36 tff(270,plain,
% 48.43/31.36 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[269])).
% 48.43/31.36 tff(271,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.43/31.36 inference(quant_inst,[status(thm)],[])).
% 48.43/31.36 tff(272,plain,
% 48.43/31.36 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.43/31.36 inference(unit_resolution,[status(thm)],[271, 7])).
% 48.43/31.36 tff(273,plain,
% 48.43/31.36 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[272])).
% 48.43/31.36 tff(274,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))) = sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.36 inference(quant_inst,[status(thm)],[])).
% 48.43/31.36 tff(275,plain,
% 48.43/31.36 (sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))) = sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))),
% 48.43/31.36 inference(unit_resolution,[status(thm)],[274, 7])).
% 48.43/31.36 tff(276,plain,
% 48.43/31.36 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[275])).
% 48.43/31.36 tff(277,plain,
% 48.43/31.36 (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[276])).
% 48.43/31.36 tff(278,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.43/31.36 inference(quant_inst,[status(thm)],[])).
% 48.43/31.36 tff(279,plain,
% 48.43/31.36 (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.36 inference(unit_resolution,[status(thm)],[278, 7])).
% 48.43/31.36 tff(280,plain,
% 48.43/31.36 (sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[279])).
% 48.43/31.36 tff(281,plain,
% 48.43/31.36 (sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.36 inference(transitivity,[status(thm)],[280, 277])).
% 48.43/31.36 tff(282,plain,
% 48.43/31.36 (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[281])).
% 48.43/31.36 tff(283,plain,
% 48.43/31.36 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[282])).
% 48.43/31.36 tff(284,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.36 inference(quant_inst,[status(thm)],[])).
% 48.43/31.36 tff(285,plain,
% 48.43/31.36 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.36 inference(unit_resolution,[status(thm)],[284, 7])).
% 48.43/31.36 tff(286,plain,
% 48.43/31.36 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.36 inference(symmetry,[status(thm)],[285])).
% 48.43/31.36 tff(287,plain,
% 48.43/31.36 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.36 inference(transitivity,[status(thm)],[286, 283])).
% 48.43/31.36 tff(288,plain,
% 48.43/31.36 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.36 inference(monotonicity,[status(thm)],[287])).
% 48.43/31.36 tff(289,plain,
% 48.43/31.36 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(290,plain,
% 48.43/31.37 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[289, 7])).
% 48.43/31.37 tff(291,plain,
% 48.43/31.37 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[290])).
% 48.43/31.37 tff(292,plain,
% 48.43/31.37 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.37 inference(transitivity,[status(thm)],[291, 288])).
% 48.43/31.37 tff(293,plain,
% 48.43/31.37 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[292])).
% 48.43/31.37 tff(294,plain,
% 48.43/31.37 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[293])).
% 48.43/31.37 tff(295,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(296,plain,
% 48.43/31.37 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[295, 7])).
% 48.43/31.37 tff(297,plain,
% 48.43/31.37 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[296])).
% 48.43/31.37 tff(298,plain,
% 48.43/31.37 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[292])).
% 48.43/31.37 tff(299,plain,
% 48.43/31.37 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[298])).
% 48.43/31.37 tff(300,plain,
% 48.43/31.37 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[299])).
% 48.43/31.37 tff(301,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(302,plain,
% 48.43/31.37 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[301, 7])).
% 48.43/31.37 tff(303,plain,
% 48.43/31.37 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[302])).
% 48.43/31.37 tff(304,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(305,plain,
% 48.43/31.37 (sep(lseg(x12, x15), sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[304, 7])).
% 48.43/31.37 tff(306,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))) = sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(307,plain,
% 48.43/31.37 (sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))) = sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[306, 7])).
% 48.43/31.37 tff(308,plain,
% 48.43/31.37 (sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))) = sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))),
% 48.43/31.37 inference(symmetry,[status(thm)],[307])).
% 48.43/31.37 tff(309,plain,
% 48.43/31.37 (sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))) = sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[308])).
% 48.43/31.37 tff(310,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))) = sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(311,plain,
% 48.43/31.37 (sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))) = sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[310, 7])).
% 48.43/31.37 tff(312,plain,
% 48.43/31.37 (sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))) = sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[311])).
% 48.43/31.37 tff(313,plain,
% 48.43/31.37 (sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))) = sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))),
% 48.43/31.37 inference(transitivity,[status(thm)],[312, 309])).
% 48.43/31.37 tff(314,plain,
% 48.43/31.37 (sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[313])).
% 48.43/31.37 tff(315,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(316,plain,
% 48.43/31.37 (sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[315, 7])).
% 48.43/31.37 tff(317,plain,
% 48.43/31.37 (sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[316])).
% 48.43/31.37 tff(318,plain,
% 48.43/31.37 (sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.43/31.37 inference(transitivity,[status(thm)],[317, 314])).
% 48.43/31.37 tff(319,plain,
% 48.43/31.37 (sep(lseg(x2, x18), sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[318])).
% 48.43/31.37 tff(320,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(321,plain,
% 48.43/31.37 (sep(lseg(x2, x18), sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[320, 7])).
% 48.43/31.37 tff(322,plain,
% 48.43/31.37 (sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x6, x17), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[321])).
% 48.43/31.37 tff(323,plain,
% 48.43/31.37 (sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.43/31.37 inference(transitivity,[status(thm)],[322, 319])).
% 48.43/31.37 tff(324,plain,
% 48.43/31.37 (sep(lseg(x12, x15), sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[323])).
% 48.43/31.37 tff(325,plain,
% 48.43/31.37 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x6, x17), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[324])).
% 48.43/31.37 tff(326,plain,
% 48.43/31.37 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[281])).
% 48.43/31.37 tff(327,plain,
% 48.43/31.37 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[326])).
% 48.43/31.37 tff(328,plain,
% 48.43/31.37 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.37 inference(quant_inst,[status(thm)],[])).
% 48.43/31.37 tff(329,plain,
% 48.43/31.37 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(unit_resolution,[status(thm)],[328, 7])).
% 48.43/31.37 tff(330,plain,
% 48.43/31.37 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(symmetry,[status(thm)],[329])).
% 48.43/31.37 tff(331,plain,
% 48.43/31.37 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.43/31.37 inference(transitivity,[status(thm)],[330, 327, 325, 305])).
% 48.43/31.37 tff(332,plain,
% 48.43/31.37 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x19, x1), sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.37 inference(monotonicity,[status(thm)],[331])).
% 48.43/31.38 tff(333,plain,
% 48.43/31.38 (sep(lseg(x19, x1), sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.38 inference(symmetry,[status(thm)],[332])).
% 48.43/31.38 tff(334,plain,
% 48.43/31.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.38 inference(quant_inst,[status(thm)],[])).
% 48.43/31.38 tff(335,plain,
% 48.43/31.38 (sep(lseg(x19, x1), sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.38 inference(unit_resolution,[status(thm)],[334, 7])).
% 48.43/31.38 tff(336,plain,
% 48.43/31.38 (sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x19, x1), sep(lseg(x6, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.38 inference(symmetry,[status(thm)],[335])).
% 48.43/31.38 tff(337,plain,
% 48.43/31.38 (sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.43/31.38 inference(transitivity,[status(thm)],[336, 333])).
% 48.43/31.38 tff(338,plain,
% 48.43/31.38 (sep(lseg(x17, x14), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.38 inference(monotonicity,[status(thm)],[337])).
% 48.43/31.38 tff(339,plain,
% 48.43/31.38 (sep(lseg(x17, x14), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.43/31.38 inference(transitivity,[status(thm)],[338, 303, 298])).
% 48.43/31.38 tff(340,plain,
% 48.43/31.38 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.43/31.38 inference(monotonicity,[status(thm)],[339])).
% 48.43/31.38 tff(341,plain,
% 48.43/31.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.43/31.38 inference(quant_inst,[status(thm)],[])).
% 48.43/31.38 tff(342,plain,
% 48.43/31.38 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(unit_resolution,[status(thm)],[341, 7])).
% 48.47/31.38 tff(343,plain,
% 48.47/31.38 (sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[337])).
% 48.47/31.38 tff(344,plain,
% 48.47/31.38 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(symmetry,[status(thm)],[343])).
% 48.47/31.38 tff(345,plain,
% 48.47/31.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(quant_inst,[status(thm)],[])).
% 48.47/31.38 tff(346,plain,
% 48.47/31.38 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(unit_resolution,[status(thm)],[345, 7])).
% 48.47/31.38 tff(347,plain,
% 48.47/31.38 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.38 inference(transitivity,[status(thm)],[330, 327])).
% 48.47/31.38 tff(348,plain,
% 48.47/31.38 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[347])).
% 48.47/31.38 tff(349,plain,
% 48.47/31.38 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[348])).
% 48.47/31.38 tff(350,plain,
% 48.47/31.38 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(symmetry,[status(thm)],[349])).
% 48.47/31.38 tff(351,plain,
% 48.47/31.38 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(transitivity,[status(thm)],[350, 346, 344])).
% 48.47/31.38 tff(352,plain,
% 48.47/31.38 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[351])).
% 48.47/31.38 tff(353,plain,
% 48.47/31.38 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(transitivity,[status(thm)],[352, 342, 340, 300, 297, 294])).
% 48.47/31.38 tff(354,plain,
% 48.47/31.38 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[353])).
% 48.47/31.38 tff(355,plain,
% 48.47/31.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.38 inference(quant_inst,[status(thm)],[])).
% 48.47/31.38 tff(356,plain,
% 48.47/31.38 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.38 inference(unit_resolution,[status(thm)],[355, 7])).
% 48.47/31.38 tff(357,plain,
% 48.47/31.38 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[351])).
% 48.47/31.38 tff(358,plain,
% 48.47/31.38 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(symmetry,[status(thm)],[357])).
% 48.47/31.38 tff(359,plain,
% 48.47/31.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.38 inference(quant_inst,[status(thm)],[])).
% 48.47/31.38 tff(360,plain,
% 48.47/31.38 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(unit_resolution,[status(thm)],[359, 7])).
% 48.47/31.38 tff(361,plain,
% 48.47/31.38 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[347])).
% 48.47/31.38 tff(362,plain,
% 48.47/31.38 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.38 inference(symmetry,[status(thm)],[361])).
% 48.47/31.38 tff(363,plain,
% 48.47/31.38 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(monotonicity,[status(thm)],[362])).
% 48.47/31.38 tff(364,plain,
% 48.47/31.38 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(symmetry,[status(thm)],[363])).
% 48.47/31.38 tff(365,plain,
% 48.47/31.38 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.38 inference(quant_inst,[status(thm)],[])).
% 48.47/31.38 tff(366,plain,
% 48.47/31.38 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(unit_resolution,[status(thm)],[365, 7])).
% 48.47/31.38 tff(367,plain,
% 48.47/31.38 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.38 inference(symmetry,[status(thm)],[366])).
% 48.47/31.39 tff(368,plain,
% 48.47/31.39 (sep(lseg(x4, x12), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[337])).
% 48.47/31.39 tff(369,plain,
% 48.47/31.39 (sep(lseg(x4, x12), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.39 inference(transitivity,[status(thm)],[368, 367, 364])).
% 48.47/31.39 tff(370,plain,
% 48.47/31.39 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[369])).
% 48.47/31.39 tff(371,plain,
% 48.47/31.39 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.39 inference(symmetry,[status(thm)],[370])).
% 48.47/31.39 tff(372,plain,
% 48.47/31.39 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[277])).
% 48.47/31.39 tff(373,plain,
% 48.47/31.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.39 inference(quant_inst,[status(thm)],[])).
% 48.47/31.39 tff(374,plain,
% 48.47/31.39 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.47/31.39 inference(unit_resolution,[status(thm)],[373, 7])).
% 48.47/31.39 tff(375,plain,
% 48.47/31.39 (sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.47/31.39 inference(symmetry,[status(thm)],[374])).
% 48.47/31.39 tff(376,plain,
% 48.47/31.39 (sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.47/31.39 inference(transitivity,[status(thm)],[375, 372])).
% 48.47/31.39 tff(377,plain,
% 48.47/31.39 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[376])).
% 48.47/31.39 tff(378,plain,
% 48.47/31.39 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[377])).
% 48.47/31.39 tff(379,plain,
% 48.47/31.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.39 inference(quant_inst,[status(thm)],[])).
% 48.47/31.39 tff(380,plain,
% 48.47/31.39 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(unit_resolution,[status(thm)],[379, 7])).
% 48.47/31.39 tff(381,plain,
% 48.47/31.39 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(symmetry,[status(thm)],[380])).
% 48.47/31.39 tff(382,plain,
% 48.47/31.39 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(transitivity,[status(thm)],[381, 378])).
% 48.47/31.39 tff(383,plain,
% 48.47/31.39 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[382])).
% 48.47/31.39 tff(384,plain,
% 48.47/31.39 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[383])).
% 48.47/31.39 tff(385,plain,
% 48.47/31.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.39 inference(quant_inst,[status(thm)],[])).
% 48.47/31.39 tff(386,plain,
% 48.47/31.39 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.39 inference(unit_resolution,[status(thm)],[385, 7])).
% 48.47/31.39 tff(387,plain,
% 48.47/31.39 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.39 inference(symmetry,[status(thm)],[386])).
% 48.47/31.39 tff(388,plain,
% 48.47/31.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.39 inference(quant_inst,[status(thm)],[])).
% 48.47/31.39 tff(389,plain,
% 48.47/31.39 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.39 inference(unit_resolution,[status(thm)],[388, 7])).
% 48.47/31.39 tff(390,plain,
% 48.47/31.39 (sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[376])).
% 48.47/31.39 tff(391,plain,
% 48.47/31.39 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(monotonicity,[status(thm)],[390])).
% 48.47/31.39 tff(392,plain,
% 48.47/31.39 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.39 inference(quant_inst,[status(thm)],[])).
% 48.47/31.39 tff(393,plain,
% 48.47/31.39 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(unit_resolution,[status(thm)],[392, 7])).
% 48.47/31.39 tff(394,plain,
% 48.47/31.39 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(symmetry,[status(thm)],[393])).
% 48.47/31.39 tff(395,plain,
% 48.47/31.39 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.39 inference(transitivity,[status(thm)],[394, 391])).
% 48.47/31.39 tff(396,plain,
% 48.47/31.39 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[395])).
% 48.47/31.40 tff(397,plain,
% 48.47/31.40 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[396])).
% 48.47/31.40 tff(398,plain,
% 48.47/31.40 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.40 inference(transitivity,[status(thm)],[397, 389])).
% 48.47/31.40 tff(399,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[398])).
% 48.47/31.40 tff(400,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(transitivity,[status(thm)],[399, 387, 384, 371, 360, 358])).
% 48.47/31.40 tff(401,plain,
% 48.47/31.40 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[400])).
% 48.47/31.40 tff(402,plain,
% 48.47/31.40 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.40 inference(transitivity,[status(thm)],[401, 356, 354])).
% 48.47/31.40 tff(403,plain,
% 48.47/31.40 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[402])).
% 48.47/31.40 tff(404,plain,
% 48.47/31.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.47/31.40 inference(quant_inst,[status(thm)],[])).
% 48.47/31.40 tff(405,plain,
% 48.47/31.40 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.40 inference(unit_resolution,[status(thm)],[404, 7])).
% 48.47/31.40 tff(406,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[399])).
% 48.47/31.40 tff(407,plain,
% 48.47/31.40 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[384])).
% 48.47/31.40 tff(408,plain,
% 48.47/31.40 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x6, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[360])).
% 48.47/31.40 tff(409,plain,
% 48.47/31.40 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(transitivity,[status(thm)],[357, 408, 370, 407, 386, 406])).
% 48.47/31.40 tff(410,plain,
% 48.47/31.40 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[409])).
% 48.47/31.40 tff(411,plain,
% 48.47/31.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.40 inference(quant_inst,[status(thm)],[])).
% 48.47/31.40 tff(412,plain,
% 48.47/31.40 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.40 inference(unit_resolution,[status(thm)],[411, 7])).
% 48.47/31.40 tff(413,plain,
% 48.47/31.40 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[412])).
% 48.47/31.40 tff(414,plain,
% 48.47/31.40 (sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[377])).
% 48.47/31.40 tff(415,plain,
% 48.47/31.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.40 inference(quant_inst,[status(thm)],[])).
% 48.47/31.40 tff(416,plain,
% 48.47/31.40 (sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.40 inference(unit_resolution,[status(thm)],[415, 7])).
% 48.47/31.40 tff(417,plain,
% 48.47/31.40 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[416])).
% 48.47/31.40 tff(418,plain,
% 48.47/31.40 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.40 inference(transitivity,[status(thm)],[417, 414])).
% 48.47/31.40 tff(419,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[418])).
% 48.47/31.40 tff(420,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[419])).
% 48.47/31.40 tff(421,plain,
% 48.47/31.40 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[420])).
% 48.47/31.40 tff(422,plain,
% 48.47/31.40 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[421])).
% 48.47/31.40 tff(423,plain,
% 48.47/31.40 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.40 inference(quant_inst,[status(thm)],[])).
% 48.47/31.40 tff(424,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(unit_resolution,[status(thm)],[423, 7])).
% 48.47/31.40 tff(425,plain,
% 48.47/31.40 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[418])).
% 48.47/31.40 tff(426,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(monotonicity,[status(thm)],[425])).
% 48.47/31.40 tff(427,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(symmetry,[status(thm)],[426])).
% 48.47/31.40 tff(428,plain,
% 48.47/31.40 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.40 inference(transitivity,[status(thm)],[427, 424, 422])).
% 48.47/31.40 tff(429,plain,
% 48.47/31.40 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[428])).
% 48.47/31.41 tff(430,plain,
% 48.47/31.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(431,plain,
% 48.47/31.41 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[430, 7])).
% 48.47/31.41 tff(432,plain,
% 48.47/31.41 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.41 inference(symmetry,[status(thm)],[431])).
% 48.47/31.41 tff(433,plain,
% 48.47/31.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(434,plain,
% 48.47/31.41 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[433, 7])).
% 48.47/31.41 tff(435,plain,
% 48.47/31.41 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.41 inference(symmetry,[status(thm)],[390])).
% 48.47/31.41 tff(436,plain,
% 48.47/31.41 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[435])).
% 48.47/31.41 tff(437,plain,
% 48.47/31.41 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[326])).
% 48.47/31.41 tff(438,plain,
% 48.47/31.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(439,plain,
% 48.47/31.41 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[438, 7])).
% 48.47/31.41 tff(440,plain,
% 48.47/31.41 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.41 inference(symmetry,[status(thm)],[439])).
% 48.47/31.41 tff(441,plain,
% 48.47/31.41 (sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.41 inference(transitivity,[status(thm)],[440, 437])).
% 48.47/31.41 tff(442,plain,
% 48.47/31.41 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[441])).
% 48.47/31.41 tff(443,plain,
% 48.47/31.41 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.41 inference(transitivity,[status(thm)],[442, 436, 417, 414])).
% 48.47/31.41 tff(444,plain,
% 48.47/31.41 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[443])).
% 48.47/31.41 tff(445,plain,
% 48.47/31.41 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.41 inference(symmetry,[status(thm)],[444])).
% 48.47/31.41 tff(446,plain,
% 48.47/31.41 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.41 inference(transitivity,[status(thm)],[445, 434])).
% 48.47/31.41 tff(447,plain,
% 48.47/31.41 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[446])).
% 48.47/31.41 tff(448,plain,
% 48.47/31.41 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.41 inference(symmetry,[status(thm)],[447])).
% 48.47/31.41 tff(449,plain,
% 48.47/31.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(450,plain,
% 48.47/31.41 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[449, 7])).
% 48.47/31.41 tff(451,plain,
% 48.47/31.41 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[441])).
% 48.47/31.41 tff(452,plain,
% 48.47/31.41 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[451])).
% 48.47/31.41 tff(453,plain,
% 48.47/31.41 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(454,plain,
% 48.47/31.41 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[453, 7])).
% 48.47/31.41 tff(455,plain,
% 48.47/31.41 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.41 inference(symmetry,[status(thm)],[454])).
% 48.47/31.41 tff(456,plain,
% 48.47/31.41 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.42 inference(transitivity,[status(thm)],[455, 452])).
% 48.47/31.42 tff(457,plain,
% 48.47/31.42 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[456])).
% 48.47/31.42 tff(458,plain,
% 48.47/31.42 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[457])).
% 48.47/31.42 tff(459,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[395])).
% 48.47/31.42 tff(460,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[459])).
% 48.47/31.42 tff(461,plain,
% 48.47/31.42 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[460])).
% 48.47/31.42 tff(462,plain,
% 48.47/31.42 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[461])).
% 48.47/31.42 tff(463,plain,
% 48.47/31.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(quant_inst,[status(thm)],[])).
% 48.47/31.42 tff(464,plain,
% 48.47/31.42 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(unit_resolution,[status(thm)],[463, 7])).
% 48.47/31.42 tff(465,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[464])).
% 48.47/31.42 tff(466,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[396])).
% 48.47/31.42 tff(467,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[466])).
% 48.47/31.42 tff(468,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(transitivity,[status(thm)],[467, 465, 462, 458, 450, 448])).
% 48.47/31.42 tff(469,plain,
% 48.47/31.42 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[468])).
% 48.47/31.42 tff(470,plain,
% 48.47/31.42 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(transitivity,[status(thm)],[469, 432, 429, 413, 410])).
% 48.47/31.42 tff(471,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[470])).
% 48.47/31.42 tff(472,plain,
% 48.47/31.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.47/31.42 inference(quant_inst,[status(thm)],[])).
% 48.47/31.42 tff(473,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.42 inference(unit_resolution,[status(thm)],[472, 7])).
% 48.47/31.42 tff(474,plain,
% 48.47/31.42 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[473])).
% 48.47/31.42 tff(475,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[468])).
% 48.47/31.42 tff(476,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[475])).
% 48.47/31.42 tff(477,plain,
% 48.47/31.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.42 inference(quant_inst,[status(thm)],[])).
% 48.47/31.42 tff(478,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(unit_resolution,[status(thm)],[477, 7])).
% 48.47/31.42 tff(479,plain,
% 48.47/31.42 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[478])).
% 48.47/31.42 tff(480,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[441])).
% 48.47/31.42 tff(481,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[480])).
% 48.47/31.42 tff(482,plain,
% 48.47/31.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(quant_inst,[status(thm)],[])).
% 48.47/31.42 tff(483,plain,
% 48.47/31.42 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.42 inference(unit_resolution,[status(thm)],[482, 7])).
% 48.47/31.42 tff(484,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.42 inference(symmetry,[status(thm)],[483])).
% 48.47/31.42 tff(485,plain,
% 48.47/31.42 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.42 inference(transitivity,[status(thm)],[484, 481])).
% 48.47/31.42 tff(486,plain,
% 48.47/31.42 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.42 inference(monotonicity,[status(thm)],[485])).
% 48.47/31.42 tff(487,plain,
% 48.47/31.42 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.42 inference(quant_inst,[status(thm)],[])).
% 48.47/31.42 tff(488,plain,
% 48.47/31.42 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.43 inference(unit_resolution,[status(thm)],[487, 7])).
% 48.47/31.43 tff(489,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.43 inference(symmetry,[status(thm)],[488])).
% 48.47/31.43 tff(490,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[446])).
% 48.47/31.43 tff(491,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.43 inference(transitivity,[status(thm)],[490, 489, 486])).
% 48.47/31.43 tff(492,plain,
% 48.47/31.43 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[491])).
% 48.47/31.43 tff(493,plain,
% 48.47/31.43 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.43 inference(symmetry,[status(thm)],[492])).
% 48.47/31.43 tff(494,plain,
% 48.47/31.43 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.47/31.43 inference(transitivity,[status(thm)],[493, 479, 476])).
% 48.47/31.43 tff(495,plain,
% 48.47/31.43 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[494])).
% 48.47/31.43 tff(496,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[390])).
% 48.47/31.43 tff(497,plain,
% 48.47/31.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.43 inference(quant_inst,[status(thm)],[])).
% 48.47/31.43 tff(498,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.43 inference(unit_resolution,[status(thm)],[497, 7])).
% 48.47/31.43 tff(499,plain,
% 48.47/31.43 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.43 inference(symmetry,[status(thm)],[498])).
% 48.47/31.43 tff(500,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[376])).
% 48.47/31.43 tff(501,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.43 inference(symmetry,[status(thm)],[500])).
% 48.47/31.43 tff(502,plain,
% 48.47/31.43 (sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[501])).
% 48.47/31.43 tff(503,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[326])).
% 48.47/31.43 tff(504,plain,
% 48.47/31.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.43 inference(quant_inst,[status(thm)],[])).
% 48.47/31.43 tff(505,plain,
% 48.47/31.43 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.43 inference(unit_resolution,[status(thm)],[504, 7])).
% 48.47/31.43 tff(506,plain,
% 48.47/31.43 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.43 inference(symmetry,[status(thm)],[505])).
% 48.47/31.43 tff(507,plain,
% 48.47/31.43 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.47/31.43 inference(transitivity,[status(thm)],[506, 503])).
% 48.47/31.43 tff(508,plain,
% 48.47/31.43 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[507])).
% 48.47/31.43 tff(509,plain,
% 48.47/31.43 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.47/31.43 inference(transitivity,[status(thm)],[508, 502, 499, 496])).
% 48.47/31.43 tff(510,plain,
% 48.47/31.43 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[509])).
% 48.47/31.43 tff(511,plain,
% 48.47/31.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.43 inference(quant_inst,[status(thm)],[])).
% 48.47/31.43 tff(512,plain,
% 48.47/31.43 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.43 inference(unit_resolution,[status(thm)],[511, 7])).
% 48.47/31.43 tff(513,plain,
% 48.47/31.43 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.43 inference(symmetry,[status(thm)],[512])).
% 48.47/31.43 tff(514,plain,
% 48.47/31.43 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.47/31.43 inference(transitivity,[status(thm)],[513, 510])).
% 48.47/31.43 tff(515,plain,
% 48.47/31.43 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.47/31.43 inference(monotonicity,[status(thm)],[514])).
% 48.47/31.43 tff(516,plain,
% 48.47/31.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.52/31.43 inference(quant_inst,[status(thm)],[])).
% 48.52/31.43 tff(517,plain,
% 48.52/31.43 (sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.43 inference(unit_resolution,[status(thm)],[516, 7])).
% 48.52/31.43 tff(518,plain,
% 48.52/31.43 (sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.43 inference(symmetry,[status(thm)],[517])).
% 48.52/31.43 tff(519,plain,
% 48.52/31.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.43 inference(quant_inst,[status(thm)],[])).
% 48.52/31.43 tff(520,plain,
% 48.52/31.43 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.43 inference(unit_resolution,[status(thm)],[519, 7])).
% 48.52/31.43 tff(521,plain,
% 48.52/31.43 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.52/31.43 inference(symmetry,[status(thm)],[327])).
% 48.52/31.43 tff(522,plain,
% 48.52/31.43 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.52/31.43 inference(transitivity,[status(thm)],[521, 329])).
% 48.52/31.43 tff(523,plain,
% 48.52/31.43 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.43 inference(monotonicity,[status(thm)],[522])).
% 48.52/31.43 tff(524,plain,
% 48.52/31.43 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.43 inference(monotonicity,[status(thm)],[377])).
% 48.52/31.43 tff(525,plain,
% 48.52/31.43 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(quant_inst,[status(thm)],[])).
% 48.52/31.44 tff(526,plain,
% 48.52/31.44 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(unit_resolution,[status(thm)],[525, 7])).
% 48.52/31.44 tff(527,plain,
% 48.52/31.44 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[526])).
% 48.52/31.44 tff(528,plain,
% 48.52/31.44 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[501])).
% 48.52/31.44 tff(529,plain,
% 48.52/31.44 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[507])).
% 48.52/31.44 tff(530,plain,
% 48.52/31.44 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(transitivity,[status(thm)],[529, 528, 527, 524, 523, 291, 288])).
% 48.52/31.44 tff(531,plain,
% 48.52/31.44 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[530])).
% 48.52/31.44 tff(532,plain,
% 48.52/31.44 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[531])).
% 48.52/31.44 tff(533,plain,
% 48.52/31.44 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(transitivity,[status(thm)],[532, 520])).
% 48.52/31.44 tff(534,plain,
% 48.52/31.44 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[533])).
% 48.52/31.44 tff(535,plain,
% 48.52/31.44 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[292])).
% 48.52/31.44 tff(536,plain,
% 48.52/31.44 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[535])).
% 48.52/31.44 tff(537,plain,
% 48.52/31.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.52/31.44 inference(quant_inst,[status(thm)],[])).
% 48.52/31.44 tff(538,plain,
% 48.52/31.44 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.44 inference(unit_resolution,[status(thm)],[537, 7])).
% 48.52/31.44 tff(539,plain,
% 48.52/31.44 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[538])).
% 48.52/31.44 tff(540,plain,
% 48.52/31.44 (sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[293])).
% 48.52/31.44 tff(541,plain,
% 48.52/31.44 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[540])).
% 48.52/31.44 tff(542,plain,
% 48.52/31.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(quant_inst,[status(thm)],[])).
% 48.52/31.44 tff(543,plain,
% 48.52/31.44 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.52/31.44 inference(unit_resolution,[status(thm)],[542, 7])).
% 48.52/31.44 tff(544,plain,
% 48.52/31.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.52/31.44 inference(quant_inst,[status(thm)],[])).
% 48.52/31.44 tff(545,plain,
% 48.52/31.44 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.52/31.44 inference(unit_resolution,[status(thm)],[544, 7])).
% 48.52/31.44 tff(546,plain,
% 48.52/31.44 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[309])).
% 48.52/31.44 tff(547,plain,
% 48.52/31.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.52/31.44 inference(quant_inst,[status(thm)],[])).
% 48.52/31.44 tff(548,plain,
% 48.52/31.44 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 48.52/31.44 inference(unit_resolution,[status(thm)],[547, 7])).
% 48.52/31.44 tff(549,plain,
% 48.52/31.44 (sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[548])).
% 48.52/31.44 tff(550,plain,
% 48.52/31.44 (sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.52/31.44 inference(transitivity,[status(thm)],[549, 546])).
% 48.52/31.44 tff(551,plain,
% 48.52/31.44 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[550])).
% 48.52/31.44 tff(552,plain,
% 48.52/31.44 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[551])).
% 48.52/31.44 tff(553,plain,
% 48.52/31.44 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.52/31.44 inference(transitivity,[status(thm)],[552, 545])).
% 48.52/31.44 tff(554,plain,
% 48.52/31.44 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[553])).
% 48.52/31.44 tff(555,plain,
% 48.52/31.44 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.52/31.44 inference(transitivity,[status(thm)],[554, 543])).
% 48.52/31.44 tff(556,plain,
% 48.52/31.44 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[555])).
% 48.52/31.44 tff(557,plain,
% 48.52/31.44 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[556])).
% 48.52/31.44 tff(558,plain,
% 48.52/31.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(quant_inst,[status(thm)],[])).
% 48.52/31.44 tff(559,plain,
% 48.52/31.44 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(unit_resolution,[status(thm)],[558, 7])).
% 48.52/31.44 tff(560,plain,
% 48.52/31.44 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(symmetry,[status(thm)],[559])).
% 48.52/31.44 tff(561,plain,
% 48.52/31.44 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.52/31.44 inference(transitivity,[status(thm)],[560, 557])).
% 48.52/31.44 tff(562,plain,
% 48.52/31.44 (sep(lseg(x12, x11), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.44 inference(monotonicity,[status(thm)],[561])).
% 48.52/31.44 tff(563,plain,
% 48.52/31.44 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x11), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.44 inference(quant_inst,[status(thm)],[])).
% 48.52/31.44 tff(564,plain,
% 48.52/31.44 (sep(lseg(x12, x11), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.45 inference(unit_resolution,[status(thm)],[563, 7])).
% 48.52/31.45 tff(565,plain,
% 48.52/31.45 (sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.45 inference(symmetry,[status(thm)],[564])).
% 48.52/31.45 tff(566,plain,
% 48.52/31.45 (sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.52/31.45 inference(transitivity,[status(thm)],[565, 562])).
% 48.52/31.45 tff(567,plain,
% 48.52/31.45 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.45 inference(monotonicity,[status(thm)],[566])).
% 48.52/31.45 tff(568,plain,
% 48.52/31.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.52/31.45 inference(quant_inst,[status(thm)],[])).
% 48.52/31.45 tff(569,plain,
% 48.52/31.45 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.45 inference(unit_resolution,[status(thm)],[568, 7])).
% 48.52/31.45 tff(570,plain,
% 48.52/31.45 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.45 inference(symmetry,[status(thm)],[569])).
% 48.52/31.45 tff(571,plain,
% 48.52/31.45 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.52/31.45 inference(transitivity,[status(thm)],[570, 567, 541, 539, 536, 534, 518, 515])).
% 48.52/31.45 tff(572,plain,
% 48.52/31.45 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.52/31.45 inference(monotonicity,[status(thm)],[571])).
% 48.52/31.45 tff(573,plain,
% 48.52/31.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 48.52/31.45 inference(quant_inst,[status(thm)],[])).
% 48.52/31.45 tff(574,plain,
% 48.52/31.45 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.52/31.45 inference(unit_resolution,[status(thm)],[573, 7])).
% 48.52/31.45 tff(575,plain,
% 48.52/31.45 (sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.52/31.45 inference(symmetry,[status(thm)],[574])).
% 48.52/31.45 tff(576,plain,
% 48.52/31.45 (sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.52/31.45 inference(transitivity,[status(thm)],[575, 572])).
% 48.52/31.45 tff(577,plain,
% 48.52/31.45 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.52/31.45 inference(monotonicity,[status(thm)],[576])).
% 48.52/31.45 tff(578,plain,
% 48.52/31.45 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))),
% 48.52/31.45 inference(quant_inst,[status(thm)],[])).
% 48.52/31.45 tff(579,plain,
% 48.52/31.45 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 48.52/31.45 inference(unit_resolution,[status(thm)],[578, 7])).
% 48.52/31.45 tff(580,plain,
% 48.52/31.45 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.45 inference(symmetry,[status(thm)],[579])).
% 48.54/31.45 tff(581,plain,
% 48.54/31.45 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.45 inference(transitivity,[status(thm)],[580, 577, 495, 474, 471, 405, 403])).
% 48.54/31.45 tff(582,plain,
% 48.54/31.45 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.45 inference(monotonicity,[status(thm)],[581])).
% 48.54/31.45 tff(583,plain,
% 48.54/31.45 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.45 inference(transitivity,[status(thm)],[582, 273, 270, 219, 186, 183, 171, 158, 156])).
% 48.54/31.45 tff(584,plain,
% 48.54/31.45 (heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.45 inference(monotonicity,[status(thm)],[583])).
% 48.54/31.45 tff(585,plain,
% 48.54/31.45 ((~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))) <=> (~heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.45 inference(monotonicity,[status(thm)],[584])).
% 48.54/31.45 tff(586,plain,
% 48.54/31.45 ((x3 = x12) <=> (x3 = x20)),
% 48.54/31.45 inference(monotonicity,[status(thm)],[197])).
% 48.54/31.45 tff(587,plain,
% 48.54/31.45 ((x3 = x20) <=> (x3 = x12)),
% 48.54/31.45 inference(symmetry,[status(thm)],[586])).
% 48.54/31.45 tff(588,plain,
% 48.54/31.45 ((~(x3 = x20)) <=> (~(x3 = x12))),
% 48.54/31.45 inference(monotonicity,[status(thm)],[587])).
% 48.54/31.45 tff(589,plain,
% 48.54/31.45 ((~(x3 = x20)) <=> (~(x3 = x20))),
% 48.54/31.45 inference(rewrite,[status(thm)],[])).
% 48.54/31.45 tff(590,axiom,(~(x3 = x20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_3')).
% 48.54/31.45 tff(591,plain,
% 48.54/31.45 (~(x3 = x20)),
% 48.54/31.45 inference(modus_ponens,[status(thm)],[590, 589])).
% 48.54/31.45 tff(592,plain,
% 48.54/31.45 (~(x3 = x12)),
% 48.54/31.45 inference(modus_ponens,[status(thm)],[591, 588])).
% 48.54/31.45 tff(593,plain,
% 48.54/31.45 (^[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))))))),
% 48.54/31.45 inference(bind,[status(th)],[])).
% 48.54/31.45 tff(594,plain,
% 48.54/31.45 (![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)))))),
% 48.54/31.45 inference(quant_intro,[status(thm)],[593])).
% 48.54/31.45 tff(595,plain,
% 48.54/31.45 (![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)))))),
% 48.54/31.45 inference(rewrite,[status(thm)],[])).
% 48.54/31.45 tff(596,plain,
% 48.54/31.45 (^[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))))))),
% 48.54/31.45 inference(bind,[status(th)],[])).
% 48.54/31.45 tff(597,plain,
% 48.54/31.45 (![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)))))),
% 48.54/31.45 inference(quant_intro,[status(thm)],[596])).
% 48.54/31.45 tff(598,axiom,(![Sigma: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))) | (X = Y)) | (X = Z))), file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax','wellformedness_5')).
% 48.54/31.45 tff(599,plain,
% 48.54/31.45 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 48.54/31.45 inference(modus_ponens,[status(thm)],[598, 597])).
% 48.54/31.45 tff(600,plain,
% 48.54/31.45 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 48.54/31.45 inference(modus_ponens,[status(thm)],[599, 595])).
% 48.54/31.45 tff(601,plain,(
% 48.54/31.45 ![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 48.54/31.45 inference(skolemize,[status(sab)],[600])).
% 48.54/31.45 tff(602,plain,
% 48.54/31.45 (![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))),
% 48.54/31.45 inference(modus_ponens,[status(thm)],[601, 594])).
% 48.54/31.45 tff(603,plain,
% 48.54/31.45 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.45 inference(rewrite,[status(thm)],[])).
% 48.54/31.45 tff(604,plain,
% 48.54/31.45 (((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))) <=> ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.45 inference(rewrite,[status(thm)],[])).
% 48.54/31.45 tff(605,plain,
% 48.54/31.45 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.54/31.46 inference(monotonicity,[status(thm)],[604])).
% 48.54/31.46 tff(606,plain,
% 48.54/31.46 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.46 inference(transitivity,[status(thm)],[605, 603])).
% 48.54/31.46 tff(607,plain,
% 48.54/31.46 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.46 inference(quant_inst,[status(thm)],[])).
% 48.54/31.46 tff(608,plain,
% 48.54/31.46 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.46 inference(modus_ponens,[status(thm)],[607, 606])).
% 48.54/31.46 tff(609,plain,
% 48.54/31.46 ((x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.46 inference(unit_resolution,[status(thm)],[608, 602, 591])).
% 48.54/31.46 tff(610,plain,
% 48.54/31.46 (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.46 inference(unit_resolution,[status(thm)],[609, 592])).
% 48.54/31.46 tff(611,plain,
% 48.54/31.46 (~heap(sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.46 inference(modus_ponens,[status(thm)],[610, 585])).
% 48.54/31.46 tff(612,plain,
% 48.54/31.46 (~heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.46 inference(modus_ponens,[status(thm)],[611, 216])).
% 48.54/31.46 tff(613,plain,
% 48.54/31.46 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.46 inference(rewrite,[status(thm)],[])).
% 48.54/31.46 tff(614,axiom,(heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_19')).
% 48.54/31.46 tff(615,plain,
% 48.54/31.46 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.46 inference(modus_ponens,[status(thm)],[614, 613])).
% 48.54/31.46 tff(616,plain,
% 48.54/31.46 ($false),
% 48.54/31.46 inference(unit_resolution,[status(thm)],[615, 612])).
% 48.54/31.46 tff(617,plain,(~(x12 = x20)), inference(lemma,lemma(discharge,[]))).
% 48.54/31.46 tff(618,plain,
% 48.54/31.46 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.46 inference(symmetry,[status(thm)],[212])).
% 48.54/31.46 tff(619,plain,
% 48.54/31.46 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.46 inference(symmetry,[status(thm)],[207])).
% 48.54/31.46 tff(620,plain,
% 48.54/31.46 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.46 inference(monotonicity,[status(thm)],[619])).
% 48.54/31.46 tff(621,plain,
% 48.54/31.46 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.46 inference(symmetry,[status(thm)],[205])).
% 48.54/31.46 tff(622,plain,
% 48.54/31.46 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.46 inference(transitivity,[status(thm)],[621, 620])).
% 48.54/31.46 tff(623,plain,
% 48.54/31.46 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.46 inference(monotonicity,[status(thm)],[622])).
% 48.54/31.46 tff(624,plain,
% 48.54/31.46 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.46 inference(symmetry,[status(thm)],[203])).
% 48.54/31.46 tff(625,plain,
% 48.54/31.46 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.46 inference(transitivity,[status(thm)],[174, 177])).
% 48.54/31.46 tff(626,plain,
% 48.54/31.46 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.46 inference(monotonicity,[status(thm)],[625])).
% 48.54/31.46 tff(627,plain,
% 48.54/31.46 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.46 inference(symmetry,[status(thm)],[626])).
% 48.54/31.46 tff(628,plain,
% 48.54/31.46 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(monotonicity,[status(thm)],[627])).
% 48.54/31.47 tff(629,plain,
% 48.54/31.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(quant_inst,[status(thm)],[])).
% 48.54/31.47 tff(630,plain,
% 48.54/31.47 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.47 inference(unit_resolution,[status(thm)],[629, 7])).
% 48.54/31.47 tff(631,plain,
% 48.54/31.47 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.47 inference(symmetry,[status(thm)],[630])).
% 48.54/31.47 tff(632,plain,
% 48.54/31.47 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.47 inference(transitivity,[status(thm)],[631, 217])).
% 48.54/31.47 tff(633,plain,
% 48.54/31.47 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(monotonicity,[status(thm)],[632])).
% 48.54/31.47 tff(634,plain,
% 48.54/31.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.47 inference(quant_inst,[status(thm)],[])).
% 48.54/31.47 tff(635,plain,
% 48.54/31.47 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(unit_resolution,[status(thm)],[634, 7])).
% 48.54/31.47 tff(636,plain,
% 48.54/31.47 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(symmetry,[status(thm)],[635])).
% 48.54/31.47 tff(637,plain,
% 48.54/31.47 (sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(transitivity,[status(thm)],[636, 633, 219, 186, 628])).
% 48.54/31.47 tff(638,plain,
% 48.54/31.47 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.47 inference(monotonicity,[status(thm)],[637])).
% 48.54/31.47 tff(639,plain,
% 48.54/31.47 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.47 inference(transitivity,[status(thm)],[638, 624, 623, 618])).
% 48.54/31.47 tff(640,plain,
% 48.54/31.47 (heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.47 inference(monotonicity,[status(thm)],[639])).
% 48.54/31.47 tff(641,plain,
% 48.54/31.47 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.47 inference(symmetry,[status(thm)],[640])).
% 48.54/31.47 tff(642,plain,
% 48.54/31.47 (heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.47 inference(modus_ponens,[status(thm)],[615, 641])).
% 48.54/31.47 tff(643,plain,
% 48.54/31.47 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.54/31.47 inference(rewrite,[status(thm)],[])).
% 48.54/31.47 tff(644,plain,
% 48.54/31.47 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.54/31.47 inference(quant_inst,[status(thm)],[])).
% 48.54/31.47 tff(645,plain,
% 48.54/31.47 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.47 inference(modus_ponens,[status(thm)],[644, 643])).
% 48.54/31.47 tff(646,plain,
% 48.54/31.47 ((x12 = x11) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.47 inference(unit_resolution,[status(thm)],[645, 602])).
% 48.54/31.47 tff(647,plain,
% 48.54/31.47 ((x12 = x11) | (x12 = x20)),
% 48.54/31.47 inference(unit_resolution,[status(thm)],[646, 642])).
% 48.54/31.47 tff(648,plain,
% 48.54/31.47 (x12 = x11),
% 48.54/31.47 inference(unit_resolution,[status(thm)],[647, 617])).
% 48.54/31.47 tff(649,plain,
% 48.54/31.47 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.47 inference(monotonicity,[status(thm)],[164])).
% 48.54/31.47 tff(650,plain,
% 48.54/31.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(quant_inst,[status(thm)],[])).
% 48.54/31.47 tff(651,plain,
% 48.54/31.47 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.47 inference(unit_resolution,[status(thm)],[650, 7])).
% 48.54/31.47 tff(652,plain,
% 48.54/31.47 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.47 inference(symmetry,[status(thm)],[651])).
% 48.54/31.47 tff(653,plain,
% 48.54/31.47 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.47 inference(transitivity,[status(thm)],[652, 649])).
% 48.54/31.47 tff(654,plain,
% 48.54/31.47 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(monotonicity,[status(thm)],[653])).
% 48.54/31.47 tff(655,plain,
% 48.54/31.47 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.47 inference(quant_inst,[status(thm)],[])).
% 48.54/31.47 tff(656,plain,
% 48.54/31.47 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.47 inference(unit_resolution,[status(thm)],[655, 7])).
% 48.54/31.47 tff(657,plain,
% 48.54/31.47 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[656])).
% 48.54/31.48 tff(658,plain,
% 48.54/31.48 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.48 inference(transitivity,[status(thm)],[657, 654, 219, 186, 628])).
% 48.54/31.48 tff(659,plain,
% 48.54/31.48 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.48 inference(monotonicity,[status(thm)],[658])).
% 48.54/31.48 tff(660,plain,
% 48.54/31.48 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.48 inference(transitivity,[status(thm)],[659, 624, 623, 618])).
% 48.54/31.48 tff(661,plain,
% 48.54/31.48 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.48 inference(monotonicity,[status(thm)],[660])).
% 48.54/31.48 tff(662,plain,
% 48.54/31.48 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[661])).
% 48.54/31.48 tff(663,plain,
% 48.54/31.48 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.54/31.48 inference(modus_ponens,[status(thm)],[615, 662])).
% 48.54/31.48 tff(664,plain,
% 48.54/31.48 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x15) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x15) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.54/31.48 inference(rewrite,[status(thm)],[])).
% 48.54/31.48 tff(665,plain,
% 48.54/31.48 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x12 = x15) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.54/31.48 inference(quant_inst,[status(thm)],[])).
% 48.54/31.48 tff(666,plain,
% 48.54/31.48 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x12 = x15) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.48 inference(modus_ponens,[status(thm)],[665, 664])).
% 48.54/31.48 tff(667,plain,
% 48.54/31.48 ((x12 = x15) | (x12 = x20) | (~heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x11), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.54/31.48 inference(unit_resolution,[status(thm)],[666, 602])).
% 48.54/31.48 tff(668,plain,
% 48.54/31.48 ((x12 = x15) | (x12 = x20)),
% 48.54/31.48 inference(unit_resolution,[status(thm)],[667, 663])).
% 48.54/31.48 tff(669,plain,
% 48.54/31.48 (x12 = x15),
% 48.54/31.48 inference(unit_resolution,[status(thm)],[668, 617])).
% 48.54/31.48 tff(670,plain,
% 48.54/31.48 (x15 = x12),
% 48.54/31.48 inference(symmetry,[status(thm)],[669])).
% 48.54/31.48 tff(671,plain,
% 48.54/31.48 (x15 = x11),
% 48.54/31.48 inference(transitivity,[status(thm)],[670, 648])).
% 48.54/31.48 tff(672,plain,
% 48.54/31.48 (lseg(x12, x15) = lseg(x12, x11)),
% 48.54/31.48 inference(monotonicity,[status(thm)],[671])).
% 48.54/31.48 tff(673,plain,
% 48.54/31.48 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.48 inference(monotonicity,[status(thm)],[672])).
% 48.54/31.48 tff(674,plain,
% 48.54/31.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.48 inference(quant_inst,[status(thm)],[])).
% 48.54/31.48 tff(675,plain,
% 48.54/31.48 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.54/31.48 inference(unit_resolution,[status(thm)],[674, 7])).
% 48.54/31.48 tff(676,plain,
% 48.54/31.48 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[231])).
% 48.54/31.48 tff(677,plain,
% 48.54/31.48 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.54/31.48 inference(transitivity,[status(thm)],[12, 676, 675])).
% 48.54/31.48 tff(678,plain,
% 48.54/31.48 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.48 inference(monotonicity,[status(thm)],[677])).
% 48.54/31.48 tff(679,plain,
% 48.54/31.48 (sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[678])).
% 48.54/31.48 tff(680,plain,
% 48.54/31.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.48 inference(quant_inst,[status(thm)],[])).
% 48.54/31.48 tff(681,plain,
% 48.54/31.48 (sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.48 inference(unit_resolution,[status(thm)],[680, 7])).
% 48.54/31.48 tff(682,plain,
% 48.54/31.48 (sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[681])).
% 48.54/31.48 tff(683,plain,
% 48.54/31.48 (sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.48 inference(transitivity,[status(thm)],[682, 679])).
% 48.54/31.48 tff(684,plain,
% 48.54/31.48 (sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.48 inference(monotonicity,[status(thm)],[683])).
% 48.54/31.48 tff(685,plain,
% 48.54/31.48 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[684])).
% 48.54/31.48 tff(686,plain,
% 48.54/31.48 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.48 inference(monotonicity,[status(thm)],[685])).
% 48.54/31.48 tff(687,plain,
% 48.54/31.48 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[686])).
% 48.54/31.48 tff(688,plain,
% 48.54/31.48 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.48 inference(quant_inst,[status(thm)],[])).
% 48.54/31.48 tff(689,plain,
% 48.54/31.48 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.48 inference(unit_resolution,[status(thm)],[688, 7])).
% 48.54/31.48 tff(690,plain,
% 48.54/31.48 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.48 inference(symmetry,[status(thm)],[689])).
% 48.54/31.48 tff(691,plain,
% 48.54/31.48 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.48 inference(transitivity,[status(thm)],[690, 687])).
% 48.54/31.48 tff(692,plain,
% 48.54/31.48 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[691])).
% 48.54/31.49 tff(693,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[692])).
% 48.54/31.49 tff(694,plain,
% 48.54/31.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.49 inference(quant_inst,[status(thm)],[])).
% 48.54/31.49 tff(695,plain,
% 48.54/31.49 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.49 inference(unit_resolution,[status(thm)],[694, 7])).
% 48.54/31.49 tff(696,plain,
% 48.54/31.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.49 inference(quant_inst,[status(thm)],[])).
% 48.54/31.49 tff(697,plain,
% 48.54/31.49 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.49 inference(unit_resolution,[status(thm)],[696, 7])).
% 48.54/31.49 tff(698,plain,
% 48.54/31.49 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[226])).
% 48.54/31.49 tff(699,plain,
% 48.54/31.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(quant_inst,[status(thm)],[])).
% 48.54/31.49 tff(700,plain,
% 48.54/31.49 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.49 inference(unit_resolution,[status(thm)],[699, 7])).
% 48.54/31.49 tff(701,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.49 inference(symmetry,[status(thm)],[700])).
% 48.54/31.49 tff(702,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[683])).
% 48.54/31.49 tff(703,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.49 inference(transitivity,[status(thm)],[702, 701, 698])).
% 48.54/31.49 tff(704,plain,
% 48.54/31.49 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[703])).
% 48.54/31.49 tff(705,plain,
% 48.54/31.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.49 inference(quant_inst,[status(thm)],[])).
% 48.54/31.49 tff(706,plain,
% 48.54/31.49 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(unit_resolution,[status(thm)],[705, 7])).
% 48.54/31.49 tff(707,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(symmetry,[status(thm)],[706])).
% 48.54/31.49 tff(708,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(transitivity,[status(thm)],[707, 704])).
% 48.54/31.49 tff(709,plain,
% 48.54/31.49 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[708])).
% 48.54/31.49 tff(710,plain,
% 48.54/31.49 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.49 inference(symmetry,[status(thm)],[709])).
% 48.54/31.49 tff(711,plain,
% 48.54/31.49 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.49 inference(transitivity,[status(thm)],[710, 697])).
% 48.54/31.49 tff(712,plain,
% 48.54/31.49 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[711])).
% 48.54/31.49 tff(713,plain,
% 48.54/31.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.49 inference(quant_inst,[status(thm)],[])).
% 48.54/31.49 tff(714,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.49 inference(unit_resolution,[status(thm)],[713, 7])).
% 48.54/31.49 tff(715,plain,
% 48.54/31.49 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.49 inference(transitivity,[status(thm)],[225, 714])).
% 48.54/31.49 tff(716,plain,
% 48.54/31.49 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[715])).
% 48.54/31.49 tff(717,plain,
% 48.54/31.49 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(monotonicity,[status(thm)],[716])).
% 48.54/31.49 tff(718,plain,
% 48.54/31.49 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(symmetry,[status(thm)],[717])).
% 48.54/31.49 tff(719,plain,
% 48.54/31.49 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.49 inference(quant_inst,[status(thm)],[])).
% 48.54/31.49 tff(720,plain,
% 48.54/31.49 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(unit_resolution,[status(thm)],[719, 7])).
% 48.54/31.49 tff(721,plain,
% 48.54/31.49 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.49 inference(symmetry,[status(thm)],[720])).
% 48.54/31.49 tff(722,plain,
% 48.54/31.49 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.50 inference(transitivity,[status(thm)],[721, 718])).
% 48.54/31.50 tff(723,plain,
% 48.54/31.50 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.50 inference(monotonicity,[status(thm)],[722])).
% 48.54/31.50 tff(724,plain,
% 48.54/31.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.50 inference(quant_inst,[status(thm)],[])).
% 48.54/31.50 tff(725,plain,
% 48.54/31.50 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.50 inference(unit_resolution,[status(thm)],[724, 7])).
% 48.54/31.50 tff(726,plain,
% 48.54/31.50 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.50 inference(symmetry,[status(thm)],[725])).
% 48.54/31.50 tff(727,plain,
% 48.54/31.50 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.50 inference(transitivity,[status(thm)],[726, 723])).
% 48.54/31.50 tff(728,plain,
% 48.54/31.50 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.50 inference(monotonicity,[status(thm)],[727])).
% 48.54/31.50 tff(729,plain,
% 48.54/31.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.54/31.50 inference(quant_inst,[status(thm)],[])).
% 48.54/31.50 tff(730,plain,
% 48.54/31.50 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.50 inference(unit_resolution,[status(thm)],[729, 7])).
% 48.54/31.50 tff(731,plain,
% 48.54/31.50 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.50 inference(symmetry,[status(thm)],[730])).
% 48.54/31.50 tff(732,plain,
% 48.54/31.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.50 inference(quant_inst,[status(thm)],[])).
% 48.54/31.50 tff(733,plain,
% 48.54/31.50 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.50 inference(unit_resolution,[status(thm)],[732, 7])).
% 48.54/31.50 tff(734,plain,
% 48.54/31.50 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.50 inference(symmetry,[status(thm)],[714])).
% 48.54/31.50 tff(735,plain,
% 48.54/31.50 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.50 inference(transitivity,[status(thm)],[734, 226])).
% 48.54/31.50 tff(736,plain,
% 48.54/31.50 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.50 inference(monotonicity,[status(thm)],[735])).
% 48.54/31.50 tff(737,plain,
% 48.54/31.50 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.50 inference(symmetry,[status(thm)],[736])).
% 48.54/31.50 tff(738,plain,
% 48.54/31.50 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.50 inference(monotonicity,[status(thm)],[737])).
% 48.54/31.50 tff(739,plain,
% 48.54/31.50 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.50 inference(symmetry,[status(thm)],[738])).
% 48.54/31.50 tff(740,plain,
% 48.54/31.50 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.50 inference(quant_inst,[status(thm)],[])).
% 48.54/31.50 tff(741,plain,
% 48.54/31.50 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.50 inference(unit_resolution,[status(thm)],[740, 7])).
% 48.54/31.50 tff(742,plain,
% 48.54/31.50 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.50 inference(symmetry,[status(thm)],[741])).
% 48.54/31.50 tff(743,plain,
% 48.54/31.50 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.50 inference(transitivity,[status(thm)],[742, 739])).
% 48.54/31.50 tff(744,plain,
% 48.54/31.50 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.51 inference(monotonicity,[status(thm)],[743])).
% 48.54/31.51 tff(745,plain,
% 48.54/31.51 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.51 inference(symmetry,[status(thm)],[744])).
% 48.54/31.51 tff(746,plain,
% 48.54/31.51 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.51 inference(transitivity,[status(thm)],[745, 733])).
% 48.54/31.51 tff(747,plain,
% 48.54/31.51 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.51 inference(monotonicity,[status(thm)],[746])).
% 48.54/31.51 tff(748,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.54/31.51 inference(symmetry,[status(thm)],[237])).
% 48.54/31.51 tff(749,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.54/31.51 inference(transitivity,[status(thm)],[748, 241, 229])).
% 48.54/31.51 tff(750,plain,
% 48.54/31.51 (sep(lseg(x12, x15), sep(lseg(x3, x20), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.54/31.51 inference(monotonicity,[status(thm)],[749])).
% 48.54/31.51 tff(751,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.54/31.51 inference(transitivity,[status(thm)],[248, 750])).
% 48.54/31.51 tff(752,plain,
% 48.54/31.51 (sep(lseg(x2, x18), sep(lseg(x3, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.51 inference(monotonicity,[status(thm)],[751])).
% 48.54/31.51 tff(753,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.54/31.51 inference(transitivity,[status(thm)],[253, 752, 235, 232])).
% 48.54/31.51 tff(754,plain,
% 48.54/31.51 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.51 inference(monotonicity,[status(thm)],[753])).
% 48.54/31.51 tff(755,plain,
% 48.54/31.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.51 inference(quant_inst,[status(thm)],[])).
% 48.54/31.51 tff(756,plain,
% 48.54/31.51 (sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.51 inference(unit_resolution,[status(thm)],[755, 7])).
% 48.54/31.51 tff(757,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.51 inference(symmetry,[status(thm)],[756])).
% 48.54/31.51 tff(758,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.54/31.51 inference(transitivity,[status(thm)],[757, 754])).
% 48.54/31.51 tff(759,plain,
% 48.54/31.51 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.51 inference(monotonicity,[status(thm)],[758])).
% 48.54/31.51 tff(760,plain,
% 48.54/31.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.51 inference(quant_inst,[status(thm)],[])).
% 48.54/31.51 tff(761,plain,
% 48.54/31.51 (sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.51 inference(unit_resolution,[status(thm)],[760, 7])).
% 48.54/31.51 tff(762,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x20), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.51 inference(symmetry,[status(thm)],[761])).
% 48.54/31.51 tff(763,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.54/31.51 inference(transitivity,[status(thm)],[762, 759])).
% 48.54/31.51 tff(764,plain,
% 48.54/31.51 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.51 inference(monotonicity,[status(thm)],[763])).
% 48.54/31.51 tff(765,plain,
% 48.54/31.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.54/31.51 inference(quant_inst,[status(thm)],[])).
% 48.54/31.51 tff(766,plain,
% 48.54/31.51 (sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.51 inference(unit_resolution,[status(thm)],[765, 7])).
% 48.54/31.51 tff(767,plain,
% 48.54/31.51 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x20), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.54/31.51 inference(symmetry,[status(thm)],[766])).
% 48.54/31.51 tff(768,plain,
% 48.54/31.51 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.51 inference(monotonicity,[status(thm)],[225])).
% 48.60/31.51 tff(769,plain,
% 48.60/31.51 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.51 inference(symmetry,[status(thm)],[768])).
% 48.60/31.51 tff(770,plain,
% 48.60/31.51 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.51 inference(quant_inst,[status(thm)],[])).
% 48.60/31.51 tff(771,plain,
% 48.60/31.51 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.51 inference(unit_resolution,[status(thm)],[770, 7])).
% 48.60/31.51 tff(772,plain,
% 48.60/31.51 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.51 inference(symmetry,[status(thm)],[771])).
% 48.60/31.51 tff(773,plain,
% 48.60/31.51 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.51 inference(transitivity,[status(thm)],[772, 769])).
% 48.60/31.51 tff(774,plain,
% 48.60/31.51 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.51 inference(monotonicity,[status(thm)],[773])).
% 48.60/31.51 tff(775,plain,
% 48.60/31.51 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.51 inference(symmetry,[status(thm)],[774])).
% 48.60/31.51 tff(776,plain,
% 48.60/31.51 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(monotonicity,[status(thm)],[775])).
% 48.60/31.52 tff(777,plain,
% 48.60/31.52 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[776])).
% 48.60/31.52 tff(778,plain,
% 48.60/31.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.52 inference(quant_inst,[status(thm)],[])).
% 48.60/31.52 tff(779,plain,
% 48.60/31.52 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(unit_resolution,[status(thm)],[778, 7])).
% 48.60/31.52 tff(780,plain,
% 48.60/31.52 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[779])).
% 48.60/31.52 tff(781,plain,
% 48.60/31.52 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.52 inference(monotonicity,[status(thm)],[773])).
% 48.60/31.52 tff(782,plain,
% 48.60/31.52 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[781])).
% 48.60/31.52 tff(783,plain,
% 48.60/31.52 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(monotonicity,[status(thm)],[782])).
% 48.60/31.52 tff(784,plain,
% 48.60/31.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(quant_inst,[status(thm)],[])).
% 48.60/31.52 tff(785,plain,
% 48.60/31.52 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.52 inference(unit_resolution,[status(thm)],[784, 7])).
% 48.60/31.52 tff(786,plain,
% 48.60/31.52 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[785])).
% 48.60/31.52 tff(787,plain,
% 48.60/31.52 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.52 inference(transitivity,[status(thm)],[786, 781])).
% 48.60/31.52 tff(788,plain,
% 48.60/31.52 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(monotonicity,[status(thm)],[787])).
% 48.60/31.52 tff(789,plain,
% 48.60/31.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.52 inference(quant_inst,[status(thm)],[])).
% 48.60/31.52 tff(790,plain,
% 48.60/31.52 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(unit_resolution,[status(thm)],[789, 7])).
% 48.60/31.52 tff(791,plain,
% 48.60/31.52 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[790])).
% 48.60/31.52 tff(792,plain,
% 48.60/31.52 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(transitivity,[status(thm)],[791, 788, 783, 780, 777])).
% 48.60/31.52 tff(793,plain,
% 48.60/31.52 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.52 inference(monotonicity,[status(thm)],[792])).
% 48.60/31.52 tff(794,plain,
% 48.60/31.52 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[793])).
% 48.60/31.52 tff(795,plain,
% 48.60/31.52 (sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(transitivity,[status(thm)],[767, 764])).
% 48.60/31.52 tff(796,plain,
% 48.60/31.52 (sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.52 inference(monotonicity,[status(thm)],[795])).
% 48.60/31.52 tff(797,plain,
% 48.60/31.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.60/31.52 inference(quant_inst,[status(thm)],[])).
% 48.60/31.52 tff(798,plain,
% 48.60/31.52 (sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.52 inference(unit_resolution,[status(thm)],[797, 7])).
% 48.60/31.52 tff(799,plain,
% 48.60/31.52 (sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[798])).
% 48.60/31.52 tff(800,plain,
% 48.60/31.52 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.52 inference(quant_inst,[status(thm)],[])).
% 48.60/31.52 tff(801,plain,
% 48.60/31.52 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.52 inference(unit_resolution,[status(thm)],[800, 7])).
% 48.60/31.52 tff(802,plain,
% 48.60/31.52 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[282])).
% 48.60/31.52 tff(803,plain,
% 48.60/31.52 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.52 inference(monotonicity,[status(thm)],[802])).
% 48.60/31.52 tff(804,plain,
% 48.60/31.52 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.52 inference(symmetry,[status(thm)],[803])).
% 48.60/31.52 tff(805,plain,
% 48.60/31.52 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.52 inference(transitivity,[status(thm)],[286, 804])).
% 48.60/31.53 tff(806,plain,
% 48.60/31.53 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[805])).
% 48.60/31.53 tff(807,plain,
% 48.60/31.53 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[806])).
% 48.60/31.53 tff(808,plain,
% 48.60/31.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.53 inference(quant_inst,[status(thm)],[])).
% 48.60/31.53 tff(809,plain,
% 48.60/31.53 (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(unit_resolution,[status(thm)],[808, 7])).
% 48.60/31.53 tff(810,plain,
% 48.60/31.53 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[805])).
% 48.60/31.53 tff(811,plain,
% 48.60/31.53 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.53 inference(symmetry,[status(thm)],[810])).
% 48.60/31.53 tff(812,plain,
% 48.60/31.53 (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[811])).
% 48.60/31.53 tff(813,plain,
% 48.60/31.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(quant_inst,[status(thm)],[])).
% 48.60/31.53 tff(814,plain,
% 48.60/31.53 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.53 inference(unit_resolution,[status(thm)],[813, 7])).
% 48.60/31.53 tff(815,plain,
% 48.60/31.53 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.53 inference(symmetry,[status(thm)],[814])).
% 48.60/31.53 tff(816,plain,
% 48.60/31.53 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.53 inference(transitivity,[status(thm)],[815, 810])).
% 48.60/31.53 tff(817,plain,
% 48.60/31.53 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[816])).
% 48.60/31.53 tff(818,plain,
% 48.60/31.53 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(transitivity,[status(thm)],[817, 812, 809, 807])).
% 48.60/31.53 tff(819,plain,
% 48.60/31.53 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[818])).
% 48.60/31.53 tff(820,plain,
% 48.60/31.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.53 inference(quant_inst,[status(thm)],[])).
% 48.60/31.53 tff(821,plain,
% 48.60/31.53 (sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.53 inference(unit_resolution,[status(thm)],[820, 7])).
% 48.60/31.53 tff(822,plain,
% 48.60/31.53 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[816])).
% 48.60/31.53 tff(823,plain,
% 48.60/31.53 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(symmetry,[status(thm)],[822])).
% 48.60/31.53 tff(824,plain,
% 48.60/31.53 (sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[823])).
% 48.60/31.53 tff(825,plain,
% 48.60/31.53 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[276])).
% 48.60/31.53 tff(826,plain,
% 48.60/31.53 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.60/31.53 inference(symmetry,[status(thm)],[825])).
% 48.60/31.53 tff(827,plain,
% 48.60/31.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.53 inference(quant_inst,[status(thm)],[])).
% 48.60/31.53 tff(828,plain,
% 48.60/31.53 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.60/31.53 inference(unit_resolution,[status(thm)],[827, 7])).
% 48.60/31.53 tff(829,plain,
% 48.60/31.53 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.60/31.53 inference(symmetry,[status(thm)],[828])).
% 48.60/31.53 tff(830,plain,
% 48.60/31.53 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.60/31.53 inference(transitivity,[status(thm)],[829, 826])).
% 48.60/31.53 tff(831,plain,
% 48.60/31.53 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[830])).
% 48.60/31.53 tff(832,plain,
% 48.60/31.53 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.53 inference(monotonicity,[status(thm)],[831])).
% 48.60/31.53 tff(833,plain,
% 48.60/31.53 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.53 inference(quant_inst,[status(thm)],[])).
% 48.60/31.53 tff(834,plain,
% 48.60/31.53 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.54 inference(unit_resolution,[status(thm)],[833, 7])).
% 48.60/31.54 tff(835,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[834])).
% 48.60/31.54 tff(836,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.54 inference(transitivity,[status(thm)],[835, 832])).
% 48.60/31.54 tff(837,plain,
% 48.60/31.54 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[836])).
% 48.60/31.54 tff(838,plain,
% 48.60/31.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(quant_inst,[status(thm)],[])).
% 48.60/31.54 tff(839,plain,
% 48.60/31.54 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(unit_resolution,[status(thm)],[838, 7])).
% 48.60/31.54 tff(840,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[839])).
% 48.60/31.54 tff(841,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(transitivity,[status(thm)],[840, 837])).
% 48.60/31.54 tff(842,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[841])).
% 48.60/31.54 tff(843,plain,
% 48.60/31.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.54 inference(quant_inst,[status(thm)],[])).
% 48.60/31.54 tff(844,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(unit_resolution,[status(thm)],[843, 7])).
% 48.60/31.54 tff(845,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[844])).
% 48.60/31.54 tff(846,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(transitivity,[status(thm)],[845, 842, 824, 821, 819])).
% 48.60/31.54 tff(847,plain,
% 48.60/31.54 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[846])).
% 48.60/31.54 tff(848,plain,
% 48.60/31.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.54 inference(quant_inst,[status(thm)],[])).
% 48.60/31.54 tff(849,plain,
% 48.60/31.54 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.54 inference(unit_resolution,[status(thm)],[848, 7])).
% 48.60/31.54 tff(850,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[849])).
% 48.60/31.54 tff(851,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[326])).
% 48.60/31.54 tff(852,plain,
% 48.60/31.54 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[851])).
% 48.60/31.54 tff(853,plain,
% 48.60/31.54 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[852])).
% 48.60/31.54 tff(854,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[802])).
% 48.60/31.54 tff(855,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[830])).
% 48.60/31.54 tff(856,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.54 inference(transitivity,[status(thm)],[855, 854, 506, 853])).
% 48.60/31.54 tff(857,plain,
% 48.60/31.54 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[856])).
% 48.60/31.54 tff(858,plain,
% 48.60/31.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(quant_inst,[status(thm)],[])).
% 48.60/31.54 tff(859,plain,
% 48.60/31.54 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.54 inference(unit_resolution,[status(thm)],[858, 7])).
% 48.60/31.54 tff(860,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[859])).
% 48.60/31.54 tff(861,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.54 inference(transitivity,[status(thm)],[860, 857])).
% 48.60/31.54 tff(862,plain,
% 48.60/31.54 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[861])).
% 48.60/31.54 tff(863,plain,
% 48.60/31.54 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(quant_inst,[status(thm)],[])).
% 48.60/31.54 tff(864,plain,
% 48.60/31.54 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(unit_resolution,[status(thm)],[863, 7])).
% 48.60/31.54 tff(865,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[864])).
% 48.60/31.54 tff(866,plain,
% 48.60/31.54 (sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.54 inference(transitivity,[status(thm)],[865, 862])).
% 48.60/31.54 tff(867,plain,
% 48.60/31.54 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[866])).
% 48.60/31.54 tff(868,plain,
% 48.60/31.54 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.54 inference(symmetry,[status(thm)],[867])).
% 48.60/31.54 tff(869,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.54 inference(monotonicity,[status(thm)],[868])).
% 48.60/31.54 tff(870,plain,
% 48.60/31.54 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(transitivity,[status(thm)],[869, 850, 847, 801])).
% 48.60/31.55 tff(871,plain,
% 48.60/31.55 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[870])).
% 48.60/31.55 tff(872,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(873,plain,
% 48.60/31.55 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.55 inference(unit_resolution,[status(thm)],[872, 7])).
% 48.60/31.55 tff(874,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(875,plain,
% 48.60/31.55 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(unit_resolution,[status(thm)],[874, 7])).
% 48.60/31.55 tff(876,plain,
% 48.60/31.55 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.60/31.55 inference(transitivity,[status(thm)],[506, 853])).
% 48.60/31.55 tff(877,plain,
% 48.60/31.55 (sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[876])).
% 48.60/31.55 tff(878,plain,
% 48.60/31.55 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[877])).
% 48.60/31.55 tff(879,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(880,plain,
% 48.60/31.55 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(unit_resolution,[status(thm)],[879, 7])).
% 48.60/31.55 tff(881,plain,
% 48.60/31.55 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(symmetry,[status(thm)],[880])).
% 48.60/31.55 tff(882,plain,
% 48.60/31.55 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(transitivity,[status(thm)],[881, 878])).
% 48.60/31.55 tff(883,plain,
% 48.60/31.55 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[882])).
% 48.60/31.55 tff(884,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(885,plain,
% 48.60/31.55 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(unit_resolution,[status(thm)],[884, 7])).
% 48.60/31.55 tff(886,plain,
% 48.60/31.55 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(symmetry,[status(thm)],[885])).
% 48.60/31.55 tff(887,plain,
% 48.60/31.55 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(transitivity,[status(thm)],[886, 883, 875])).
% 48.60/31.55 tff(888,plain,
% 48.60/31.55 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[887])).
% 48.60/31.55 tff(889,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(890,plain,
% 48.60/31.55 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(unit_resolution,[status(thm)],[889, 7])).
% 48.60/31.55 tff(891,plain,
% 48.60/31.55 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(symmetry,[status(thm)],[890])).
% 48.60/31.55 tff(892,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(893,plain,
% 48.60/31.55 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(unit_resolution,[status(thm)],[892, 7])).
% 48.60/31.55 tff(894,plain,
% 48.60/31.55 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[876])).
% 48.60/31.55 tff(895,plain,
% 48.60/31.55 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[894])).
% 48.60/31.55 tff(896,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(897,plain,
% 48.60/31.55 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(unit_resolution,[status(thm)],[896, 7])).
% 48.60/31.55 tff(898,plain,
% 48.60/31.55 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(symmetry,[status(thm)],[897])).
% 48.60/31.55 tff(899,plain,
% 48.60/31.55 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.60/31.55 inference(transitivity,[status(thm)],[898, 895])).
% 48.60/31.55 tff(900,plain,
% 48.60/31.55 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(monotonicity,[status(thm)],[899])).
% 48.60/31.55 tff(901,plain,
% 48.60/31.55 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.55 inference(symmetry,[status(thm)],[900])).
% 48.60/31.55 tff(902,plain,
% 48.60/31.55 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.55 inference(quant_inst,[status(thm)],[])).
% 48.60/31.55 tff(903,plain,
% 48.60/31.55 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.56 inference(unit_resolution,[status(thm)],[902, 7])).
% 48.60/31.56 tff(904,plain,
% 48.60/31.56 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.56 inference(symmetry,[status(thm)],[903])).
% 48.60/31.56 tff(905,plain,
% 48.60/31.56 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.60/31.56 inference(transitivity,[status(thm)],[904, 901, 893])).
% 48.60/31.56 tff(906,plain,
% 48.60/31.56 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.56 inference(monotonicity,[status(thm)],[905])).
% 48.60/31.56 tff(907,plain,
% 48.60/31.56 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.60/31.56 inference(transitivity,[status(thm)],[906, 891, 888])).
% 48.60/31.56 tff(908,plain,
% 48.60/31.56 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.60/31.56 inference(monotonicity,[status(thm)],[907])).
% 48.60/31.56 tff(909,plain,
% 48.60/31.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.60/31.56 inference(quant_inst,[status(thm)],[])).
% 48.60/31.56 tff(910,plain,
% 48.60/31.56 (sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.56 inference(unit_resolution,[status(thm)],[909, 7])).
% 48.65/31.56 tff(911,plain,
% 48.65/31.56 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x15), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.56 inference(symmetry,[status(thm)],[910])).
% 48.65/31.56 tff(912,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[905])).
% 48.65/31.56 tff(913,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.56 inference(symmetry,[status(thm)],[912])).
% 48.65/31.56 tff(914,plain,
% 48.65/31.56 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.56 inference(quant_inst,[status(thm)],[])).
% 48.65/31.56 tff(915,plain,
% 48.65/31.56 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.56 inference(unit_resolution,[status(thm)],[914, 7])).
% 48.65/31.56 tff(916,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[851])).
% 48.65/31.56 tff(917,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.56 inference(transitivity,[status(thm)],[916, 329])).
% 48.65/31.56 tff(918,plain,
% 48.65/31.56 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[917])).
% 48.65/31.56 tff(919,plain,
% 48.65/31.56 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[276])).
% 48.65/31.56 tff(920,plain,
% 48.65/31.56 (sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.56 inference(symmetry,[status(thm)],[919])).
% 48.65/31.56 tff(921,plain,
% 48.65/31.56 (sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.56 inference(transitivity,[status(thm)],[375, 920])).
% 48.65/31.56 tff(922,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[921])).
% 48.65/31.56 tff(923,plain,
% 48.65/31.56 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[922])).
% 48.65/31.56 tff(924,plain,
% 48.65/31.56 (sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[921])).
% 48.65/31.56 tff(925,plain,
% 48.65/31.56 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.56 inference(symmetry,[status(thm)],[924])).
% 48.65/31.56 tff(926,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[925])).
% 48.65/31.56 tff(927,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[876])).
% 48.65/31.56 tff(928,plain,
% 48.65/31.56 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.56 inference(transitivity,[status(thm)],[927, 926, 527, 923, 918, 291, 806])).
% 48.65/31.56 tff(929,plain,
% 48.65/31.56 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.56 inference(monotonicity,[status(thm)],[928])).
% 48.65/31.56 tff(930,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[520])).
% 48.65/31.57 tff(931,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(transitivity,[status(thm)],[930, 929])).
% 48.65/31.57 tff(932,plain,
% 48.65/31.57 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(monotonicity,[status(thm)],[931])).
% 48.65/31.57 tff(933,plain,
% 48.65/31.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.57 inference(quant_inst,[status(thm)],[])).
% 48.65/31.57 tff(934,plain,
% 48.65/31.57 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(unit_resolution,[status(thm)],[933, 7])).
% 48.65/31.57 tff(935,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[934])).
% 48.65/31.57 tff(936,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(transitivity,[status(thm)],[935, 932])).
% 48.65/31.57 tff(937,plain,
% 48.65/31.57 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.57 inference(monotonicity,[status(thm)],[936])).
% 48.65/31.57 tff(938,plain,
% 48.65/31.57 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[937])).
% 48.65/31.57 tff(939,plain,
% 48.65/31.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.57 inference(quant_inst,[status(thm)],[])).
% 48.65/31.57 tff(940,plain,
% 48.65/31.57 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.57 inference(unit_resolution,[status(thm)],[939, 7])).
% 48.65/31.57 tff(941,plain,
% 48.65/31.57 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[940])).
% 48.65/31.57 tff(942,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[927])).
% 48.65/31.57 tff(943,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[926])).
% 48.65/31.57 tff(944,plain,
% 48.65/31.57 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[923])).
% 48.65/31.57 tff(945,plain,
% 48.65/31.57 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[918])).
% 48.65/31.57 tff(946,plain,
% 48.65/31.57 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[806])).
% 48.65/31.57 tff(947,plain,
% 48.65/31.57 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.57 inference(transitivity,[status(thm)],[946, 290, 945, 944, 526, 943, 942])).
% 48.65/31.57 tff(948,plain,
% 48.65/31.57 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(monotonicity,[status(thm)],[947])).
% 48.65/31.57 tff(949,plain,
% 48.65/31.57 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[948])).
% 48.65/31.57 tff(950,plain,
% 48.65/31.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(quant_inst,[status(thm)],[])).
% 48.65/31.57 tff(951,plain,
% 48.65/31.57 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(unit_resolution,[status(thm)],[950, 7])).
% 48.65/31.57 tff(952,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[951])).
% 48.65/31.57 tff(953,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(monotonicity,[status(thm)],[894])).
% 48.65/31.57 tff(954,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[953])).
% 48.65/31.57 tff(955,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(transitivity,[status(thm)],[954, 952, 949])).
% 48.65/31.57 tff(956,plain,
% 48.65/31.57 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(monotonicity,[status(thm)],[955])).
% 48.65/31.57 tff(957,plain,
% 48.65/31.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.57 inference(quant_inst,[status(thm)],[])).
% 48.65/31.57 tff(958,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(unit_resolution,[status(thm)],[957, 7])).
% 48.65/31.57 tff(959,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(monotonicity,[status(thm)],[899])).
% 48.65/31.57 tff(960,plain,
% 48.65/31.57 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.57 inference(quant_inst,[status(thm)],[])).
% 48.65/31.57 tff(961,plain,
% 48.65/31.57 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(unit_resolution,[status(thm)],[960, 7])).
% 48.65/31.57 tff(962,plain,
% 48.65/31.57 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[961])).
% 48.65/31.57 tff(963,plain,
% 48.65/31.57 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.57 inference(symmetry,[status(thm)],[929])).
% 48.65/31.57 tff(964,plain,
% 48.65/31.57 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[963, 520])).
% 48.65/31.58 tff(965,plain,
% 48.65/31.58 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[964])).
% 48.65/31.58 tff(966,plain,
% 48.65/31.58 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[965, 962, 959, 958, 956])).
% 48.65/31.58 tff(967,plain,
% 48.65/31.58 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[966])).
% 48.65/31.58 tff(968,plain,
% 48.65/31.58 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(symmetry,[status(thm)],[967])).
% 48.65/31.58 tff(969,plain,
% 48.65/31.58 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[968, 941, 938, 915, 913])).
% 48.65/31.58 tff(970,plain,
% 48.65/31.58 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[969])).
% 48.65/31.58 tff(971,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[291, 806])).
% 48.65/31.58 tff(972,plain,
% 48.65/31.58 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[971])).
% 48.65/31.58 tff(973,plain,
% 48.65/31.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(quant_inst,[status(thm)],[])).
% 48.65/31.58 tff(974,plain,
% 48.65/31.58 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(unit_resolution,[status(thm)],[973, 7])).
% 48.65/31.58 tff(975,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(symmetry,[status(thm)],[974])).
% 48.65/31.58 tff(976,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[975, 972])).
% 48.65/31.58 tff(977,plain,
% 48.65/31.58 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[976])).
% 48.65/31.58 tff(978,plain,
% 48.65/31.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(quant_inst,[status(thm)],[])).
% 48.65/31.58 tff(979,plain,
% 48.65/31.58 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(unit_resolution,[status(thm)],[978, 7])).
% 48.65/31.58 tff(980,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(symmetry,[status(thm)],[979])).
% 48.65/31.58 tff(981,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[980, 977])).
% 48.65/31.58 tff(982,plain,
% 48.65/31.58 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[981])).
% 48.65/31.58 tff(983,plain,
% 48.65/31.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.58 inference(quant_inst,[status(thm)],[])).
% 48.65/31.58 tff(984,plain,
% 48.65/31.58 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(unit_resolution,[status(thm)],[983, 7])).
% 48.65/31.58 tff(985,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(symmetry,[status(thm)],[984])).
% 48.65/31.58 tff(986,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[985, 982, 940, 967])).
% 48.65/31.58 tff(987,plain,
% 48.65/31.58 (sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[986])).
% 48.65/31.58 tff(988,plain,
% 48.65/31.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.58 inference(quant_inst,[status(thm)],[])).
% 48.65/31.58 tff(989,plain,
% 48.65/31.58 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.58 inference(unit_resolution,[status(thm)],[988, 7])).
% 48.65/31.58 tff(990,plain,
% 48.65/31.58 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.58 inference(symmetry,[status(thm)],[916])).
% 48.65/31.58 tff(991,plain,
% 48.65/31.58 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.58 inference(transitivity,[status(thm)],[330, 990])).
% 48.65/31.58 tff(992,plain,
% 48.65/31.58 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[991])).
% 48.65/31.58 tff(993,plain,
% 48.65/31.58 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(monotonicity,[status(thm)],[992])).
% 48.65/31.58 tff(994,plain,
% 48.65/31.58 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.58 inference(quant_inst,[status(thm)],[])).
% 48.65/31.58 tff(995,plain,
% 48.65/31.58 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(unit_resolution,[status(thm)],[994, 7])).
% 48.65/31.58 tff(996,plain,
% 48.65/31.58 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.58 inference(symmetry,[status(thm)],[995])).
% 48.65/31.59 tff(997,plain,
% 48.65/31.59 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.59 inference(transitivity,[status(thm)],[996, 993])).
% 48.65/31.59 tff(998,plain,
% 48.65/31.59 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[997])).
% 48.65/31.59 tff(999,plain,
% 48.65/31.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.59 inference(quant_inst,[status(thm)],[])).
% 48.65/31.59 tff(1000,plain,
% 48.65/31.59 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(unit_resolution,[status(thm)],[999, 7])).
% 48.65/31.59 tff(1001,plain,
% 48.65/31.59 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(symmetry,[status(thm)],[1000])).
% 48.65/31.59 tff(1002,plain,
% 48.65/31.59 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(transitivity,[status(thm)],[1001, 998])).
% 48.65/31.59 tff(1003,plain,
% 48.65/31.59 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[1002])).
% 48.65/31.59 tff(1004,plain,
% 48.65/31.59 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.59 inference(symmetry,[status(thm)],[1003])).
% 48.65/31.59 tff(1005,plain,
% 48.65/31.59 (sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[1004])).
% 48.65/31.59 tff(1006,plain,
% 48.65/31.59 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[550])).
% 48.65/31.59 tff(1007,plain,
% 48.65/31.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.59 inference(quant_inst,[status(thm)],[])).
% 48.65/31.59 tff(1008,plain,
% 48.65/31.59 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.65/31.59 inference(unit_resolution,[status(thm)],[1007, 7])).
% 48.65/31.59 tff(1009,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))),
% 48.65/31.59 inference(symmetry,[status(thm)],[1008])).
% 48.65/31.59 tff(1010,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.59 inference(transitivity,[status(thm)],[1009, 1006])).
% 48.65/31.59 tff(1011,plain,
% 48.65/31.59 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[1010])).
% 48.65/31.59 tff(1012,plain,
% 48.65/31.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.59 inference(quant_inst,[status(thm)],[])).
% 48.65/31.59 tff(1013,plain,
% 48.65/31.59 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.59 inference(unit_resolution,[status(thm)],[1012, 7])).
% 48.65/31.59 tff(1014,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.59 inference(symmetry,[status(thm)],[1013])).
% 48.65/31.59 tff(1015,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.59 inference(transitivity,[status(thm)],[1014, 1011])).
% 48.65/31.59 tff(1016,plain,
% 48.65/31.59 (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[1015])).
% 48.65/31.59 tff(1017,plain,
% 48.65/31.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.59 inference(quant_inst,[status(thm)],[])).
% 48.65/31.59 tff(1018,plain,
% 48.65/31.59 (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.59 inference(unit_resolution,[status(thm)],[1017, 7])).
% 48.65/31.59 tff(1019,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.59 inference(symmetry,[status(thm)],[1018])).
% 48.65/31.59 tff(1020,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.59 inference(transitivity,[status(thm)],[1019, 1016])).
% 48.65/31.59 tff(1021,plain,
% 48.65/31.59 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[1020])).
% 48.65/31.59 tff(1022,plain,
% 48.65/31.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(quant_inst,[status(thm)],[])).
% 48.65/31.59 tff(1023,plain,
% 48.65/31.59 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.59 inference(unit_resolution,[status(thm)],[1022, 7])).
% 48.65/31.59 tff(1024,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.59 inference(symmetry,[status(thm)],[1023])).
% 48.65/31.59 tff(1025,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.59 inference(transitivity,[status(thm)],[1024, 1021])).
% 48.65/31.59 tff(1026,plain,
% 48.65/31.59 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[1025])).
% 48.65/31.59 tff(1027,plain,
% 48.65/31.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.59 inference(quant_inst,[status(thm)],[])).
% 48.65/31.59 tff(1028,plain,
% 48.65/31.59 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(unit_resolution,[status(thm)],[1027, 7])).
% 48.65/31.59 tff(1029,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(symmetry,[status(thm)],[1028])).
% 48.65/31.59 tff(1030,plain,
% 48.65/31.59 (sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.59 inference(transitivity,[status(thm)],[1029, 1026])).
% 48.65/31.59 tff(1031,plain,
% 48.65/31.59 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.59 inference(monotonicity,[status(thm)],[1030])).
% 48.65/31.59 tff(1032,plain,
% 48.65/31.59 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.59 inference(quant_inst,[status(thm)],[])).
% 48.65/31.60 tff(1033,plain,
% 48.65/31.60 (sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.60 inference(unit_resolution,[status(thm)],[1032, 7])).
% 48.65/31.60 tff(1034,plain,
% 48.65/31.60 (sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x3, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.60 inference(symmetry,[status(thm)],[1033])).
% 48.65/31.60 tff(1035,plain,
% 48.65/31.60 (sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.60 inference(transitivity,[status(thm)],[1034, 1031])).
% 48.65/31.60 tff(1036,plain,
% 48.65/31.60 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.60 inference(monotonicity,[status(thm)],[1035])).
% 48.65/31.60 tff(1037,plain,
% 48.65/31.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.60 inference(quant_inst,[status(thm)],[])).
% 48.65/31.60 tff(1038,plain,
% 48.65/31.60 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.60 inference(unit_resolution,[status(thm)],[1037, 7])).
% 48.65/31.60 tff(1039,plain,
% 48.65/31.60 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.60 inference(symmetry,[status(thm)],[1038])).
% 48.65/31.60 tff(1040,plain,
% 48.65/31.60 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.60 inference(transitivity,[status(thm)],[1039, 1036, 1005, 989, 987, 970, 911, 908, 873, 871])).
% 48.65/31.60 tff(1041,plain,
% 48.65/31.60 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x3, x20), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.60 inference(monotonicity,[status(thm)],[1040])).
% 48.65/31.60 tff(1042,plain,
% 48.65/31.60 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.60 inference(transitivity,[status(thm)],[1041, 799, 796, 794])).
% 48.65/31.60 tff(1043,plain,
% 48.65/31.60 (heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.65/31.60 inference(monotonicity,[status(thm)],[1042])).
% 48.65/31.60 tff(1044,plain,
% 48.65/31.60 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 48.65/31.60 inference(symmetry,[status(thm)],[1043])).
% 48.65/31.60 tff(1045,plain,
% 48.65/31.60 (sep(lseg(x12, x20), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.60 inference(symmetry,[status(thm)],[747])).
% 48.65/31.60 tff(1046,plain,
% 48.65/31.60 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.60 inference(symmetry,[status(thm)],[728])).
% 48.65/31.60 tff(1047,plain,
% 48.65/31.60 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.60 inference(transitivity,[status(thm)],[235, 232])).
% 48.65/31.60 tff(1048,plain,
% 48.65/31.60 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.60 inference(monotonicity,[status(thm)],[1047])).
% 48.65/31.60 tff(1049,plain,
% 48.65/31.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.60 inference(quant_inst,[status(thm)],[])).
% 48.65/31.60 tff(1050,plain,
% 48.65/31.60 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.60 inference(unit_resolution,[status(thm)],[1049, 7])).
% 48.65/31.60 tff(1051,plain,
% 48.65/31.60 (sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.60 inference(symmetry,[status(thm)],[1050])).
% 48.65/31.60 tff(1052,plain,
% 48.65/31.60 (sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.60 inference(transitivity,[status(thm)],[1051, 1048])).
% 48.65/31.60 tff(1053,plain,
% 48.65/31.60 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.60 inference(monotonicity,[status(thm)],[1052])).
% 48.65/31.60 tff(1054,plain,
% 48.65/31.60 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1055,plain,
% 48.65/31.61 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1054, 7])).
% 48.65/31.61 tff(1056,plain,
% 48.65/31.61 (sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[1055])).
% 48.65/31.61 tff(1057,plain,
% 48.65/31.61 (sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.61 inference(transitivity,[status(thm)],[1056, 1053])).
% 48.65/31.61 tff(1058,plain,
% 48.65/31.61 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1057])).
% 48.65/31.61 tff(1059,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1060,plain,
% 48.65/31.61 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1059, 7])).
% 48.65/31.61 tff(1061,plain,
% 48.65/31.61 (sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[1060])).
% 48.65/31.61 tff(1062,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1063,plain,
% 48.65/31.61 (sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1062, 7])).
% 48.65/31.61 tff(1064,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1065,plain,
% 48.65/31.61 (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1064, 7])).
% 48.65/31.61 tff(1066,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1067,plain,
% 48.65/31.61 (sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1066, 7])).
% 48.65/31.61 tff(1068,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1069,plain,
% 48.65/31.61 (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1068, 7])).
% 48.65/31.61 tff(1070,plain,
% 48.65/31.61 (sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))) = sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[275])).
% 48.65/31.61 tff(1071,plain,
% 48.65/31.61 (sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1070])).
% 48.65/31.61 tff(1072,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1073,plain,
% 48.65/31.61 (sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1072, 7])).
% 48.65/31.61 tff(1074,plain,
% 48.65/31.61 (sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[1073])).
% 48.65/31.61 tff(1075,plain,
% 48.65/31.61 (sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.65/31.61 inference(transitivity,[status(thm)],[1074, 1071])).
% 48.65/31.61 tff(1076,plain,
% 48.65/31.61 (sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1075])).
% 48.65/31.61 tff(1077,plain,
% 48.65/31.61 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x11, x12), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[1076])).
% 48.65/31.61 tff(1078,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1079,plain,
% 48.65/31.61 (sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))) = sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1078, 7])).
% 48.65/31.61 tff(1080,plain,
% 48.65/31.61 (sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1079])).
% 48.65/31.61 tff(1081,plain,
% 48.65/31.61 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[1080])).
% 48.65/31.61 tff(1082,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1083,plain,
% 48.65/31.61 (sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1082, 7])).
% 48.65/31.61 tff(1084,plain,
% 48.65/31.61 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[1083])).
% 48.65/31.61 tff(1085,plain,
% 48.65/31.61 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(transitivity,[status(thm)],[1084, 1081, 1077, 1069])).
% 48.65/31.61 tff(1086,plain,
% 48.65/31.61 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x12, x15), sep(lseg(x11, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1085])).
% 48.65/31.61 tff(1087,plain,
% 48.65/31.61 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.61 inference(transitivity,[status(thm)],[1086, 1067])).
% 48.65/31.61 tff(1088,plain,
% 48.65/31.61 (sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1087])).
% 48.65/31.61 tff(1089,plain,
% 48.65/31.61 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.61 inference(quant_inst,[status(thm)],[])).
% 48.65/31.61 tff(1090,plain,
% 48.65/31.61 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.61 inference(unit_resolution,[status(thm)],[1089, 7])).
% 48.65/31.61 tff(1091,plain,
% 48.65/31.61 (sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))) = sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))),
% 48.65/31.61 inference(transitivity,[status(thm)],[1084, 1081])).
% 48.65/31.61 tff(1092,plain,
% 48.65/31.61 (sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1091])).
% 48.65/31.61 tff(1093,plain,
% 48.65/31.61 (sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.61 inference(symmetry,[status(thm)],[1092])).
% 48.65/31.61 tff(1094,plain,
% 48.65/31.61 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.61 inference(monotonicity,[status(thm)],[1093])).
% 48.65/31.61 tff(1095,plain,
% 48.65/31.61 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1094, 1090, 1088, 1065])).
% 48.65/31.62 tff(1096,plain,
% 48.65/31.62 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.62 inference(monotonicity,[status(thm)],[1095])).
% 48.65/31.62 tff(1097,plain,
% 48.65/31.62 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1096, 1063])).
% 48.65/31.62 tff(1098,plain,
% 48.65/31.62 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(monotonicity,[status(thm)],[1097])).
% 48.65/31.62 tff(1099,plain,
% 48.65/31.62 (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[1098])).
% 48.65/31.62 tff(1100,plain,
% 48.65/31.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.62 inference(quant_inst,[status(thm)],[])).
% 48.65/31.62 tff(1101,plain,
% 48.65/31.62 (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(unit_resolution,[status(thm)],[1100, 7])).
% 48.65/31.62 tff(1102,plain,
% 48.65/31.62 (sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[1101])).
% 48.65/31.62 tff(1103,plain,
% 48.65/31.62 (sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1102, 1099])).
% 48.65/31.62 tff(1104,plain,
% 48.65/31.62 (sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.62 inference(monotonicity,[status(thm)],[1103])).
% 48.65/31.62 tff(1105,plain,
% 48.65/31.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.62 inference(quant_inst,[status(thm)],[])).
% 48.65/31.62 tff(1106,plain,
% 48.65/31.62 (sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.62 inference(unit_resolution,[status(thm)],[1105, 7])).
% 48.65/31.62 tff(1107,plain,
% 48.65/31.62 (sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[1106])).
% 48.65/31.62 tff(1108,plain,
% 48.65/31.62 (sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1107, 1104])).
% 48.65/31.62 tff(1109,plain,
% 48.65/31.62 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.62 inference(monotonicity,[status(thm)],[1108])).
% 48.65/31.62 tff(1110,plain,
% 48.65/31.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.62 inference(quant_inst,[status(thm)],[])).
% 48.65/31.62 tff(1111,plain,
% 48.65/31.62 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.62 inference(unit_resolution,[status(thm)],[1110, 7])).
% 48.65/31.62 tff(1112,plain,
% 48.65/31.62 (sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[1111])).
% 48.65/31.62 tff(1113,plain,
% 48.65/31.62 (sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1112, 1109, 1061, 1058])).
% 48.65/31.62 tff(1114,plain,
% 48.65/31.62 (lseg(x4, x12) = lseg(x4, x11)),
% 48.65/31.62 inference(monotonicity,[status(thm)],[648])).
% 48.65/31.62 tff(1115,plain,
% 48.65/31.62 (lseg(x4, x11) = lseg(x4, x12)),
% 48.65/31.62 inference(symmetry,[status(thm)],[1114])).
% 48.65/31.62 tff(1116,plain,
% 48.65/31.62 (sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.62 inference(monotonicity,[status(thm)],[1115, 1113])).
% 48.65/31.62 tff(1117,plain,
% 48.65/31.62 (sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1116, 1046, 730, 1045, 794])).
% 48.65/31.62 tff(1118,plain,
% 48.65/31.62 (heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.65/31.62 inference(monotonicity,[status(thm)],[1117])).
% 48.65/31.62 tff(1119,plain,
% 48.65/31.62 (heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1118, 1044])).
% 48.65/31.62 tff(1120,plain,
% 48.65/31.62 (sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[1109])).
% 48.65/31.62 tff(1121,plain,
% 48.65/31.62 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[1058])).
% 48.65/31.62 tff(1122,plain,
% 48.65/31.62 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[716])).
% 48.65/31.62 tff(1123,plain,
% 48.65/31.62 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.62 inference(quant_inst,[status(thm)],[])).
% 48.65/31.62 tff(1124,plain,
% 48.65/31.62 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(unit_resolution,[status(thm)],[1123, 7])).
% 48.65/31.62 tff(1125,plain,
% 48.65/31.62 (sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(symmetry,[status(thm)],[1124])).
% 48.65/31.62 tff(1126,plain,
% 48.65/31.62 (sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.62 inference(transitivity,[status(thm)],[1125, 1122])).
% 48.65/31.62 tff(1127,plain,
% 48.65/31.62 (sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(monotonicity,[status(thm)],[1126])).
% 48.65/31.63 tff(1128,plain,
% 48.65/31.63 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1127])).
% 48.65/31.63 tff(1129,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.63 inference(monotonicity,[status(thm)],[1128])).
% 48.65/31.63 tff(1130,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1129])).
% 48.65/31.63 tff(1131,plain,
% 48.65/31.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.63 inference(quant_inst,[status(thm)],[])).
% 48.65/31.63 tff(1132,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.63 inference(unit_resolution,[status(thm)],[1131, 7])).
% 48.65/31.63 tff(1133,plain,
% 48.65/31.63 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1132])).
% 48.65/31.63 tff(1134,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(monotonicity,[status(thm)],[1126])).
% 48.65/31.63 tff(1135,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1134])).
% 48.65/31.63 tff(1136,plain,
% 48.65/31.63 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.63 inference(monotonicity,[status(thm)],[1135])).
% 48.65/31.63 tff(1137,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(monotonicity,[status(thm)],[716])).
% 48.65/31.63 tff(1138,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1137])).
% 48.65/31.63 tff(1139,plain,
% 48.65/31.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.63 inference(quant_inst,[status(thm)],[])).
% 48.65/31.63 tff(1140,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(unit_resolution,[status(thm)],[1139, 7])).
% 48.65/31.63 tff(1141,plain,
% 48.65/31.63 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1140])).
% 48.65/31.63 tff(1142,plain,
% 48.65/31.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.63 inference(quant_inst,[status(thm)],[])).
% 48.65/31.63 tff(1143,plain,
% 48.65/31.63 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.63 inference(unit_resolution,[status(thm)],[1142, 7])).
% 48.65/31.63 tff(1144,plain,
% 48.65/31.63 (sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[675])).
% 48.65/31.63 tff(1145,plain,
% 48.65/31.63 (sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.63 inference(transitivity,[status(thm)],[1144, 231])).
% 48.65/31.63 tff(1146,plain,
% 48.65/31.63 (sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.63 inference(monotonicity,[status(thm)],[1145])).
% 48.65/31.63 tff(1147,plain,
% 48.65/31.63 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x7, x16), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1146])).
% 48.65/31.63 tff(1148,plain,
% 48.65/31.63 (sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.63 inference(transitivity,[status(thm)],[734, 226, 1147, 1143])).
% 48.65/31.63 tff(1149,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.63 inference(monotonicity,[status(thm)],[1148])).
% 48.65/31.63 tff(1150,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1149])).
% 48.65/31.63 tff(1151,plain,
% 48.65/31.63 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.63 inference(quant_inst,[status(thm)],[])).
% 48.65/31.63 tff(1152,plain,
% 48.65/31.63 (sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.63 inference(unit_resolution,[status(thm)],[1151, 7])).
% 48.65/31.63 tff(1153,plain,
% 48.65/31.63 (sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.63 inference(symmetry,[status(thm)],[1152])).
% 48.65/31.63 tff(1154,plain,
% 48.65/31.63 (sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.64 inference(transitivity,[status(thm)],[1153, 1150])).
% 48.65/31.64 tff(1155,plain,
% 48.65/31.64 (sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.64 inference(monotonicity,[status(thm)],[1154])).
% 48.65/31.64 tff(1156,plain,
% 48.65/31.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.64 inference(quant_inst,[status(thm)],[])).
% 48.65/31.64 tff(1157,plain,
% 48.65/31.64 (sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.64 inference(unit_resolution,[status(thm)],[1156, 7])).
% 48.65/31.64 tff(1158,plain,
% 48.65/31.64 (sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.64 inference(symmetry,[status(thm)],[1157])).
% 48.65/31.64 tff(1159,plain,
% 48.65/31.64 (sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.65/31.64 inference(transitivity,[status(thm)],[1158, 1155, 1141, 1138])).
% 48.65/31.64 tff(1160,plain,
% 48.65/31.64 (sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.64 inference(monotonicity,[status(thm)],[1159])).
% 48.65/31.64 tff(1161,plain,
% 48.65/31.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x7, x16), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.65/31.64 inference(quant_inst,[status(thm)],[])).
% 48.65/31.64 tff(1162,plain,
% 48.65/31.64 (sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x7, x16), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.64 inference(unit_resolution,[status(thm)],[1161, 7])).
% 48.65/31.64 tff(1163,plain,
% 48.65/31.64 (sep(lseg(x7, x16), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x7, x16), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.65/31.64 inference(symmetry,[status(thm)],[1162])).
% 48.65/31.64 tff(1164,plain,
% 48.65/31.64 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.64 inference(monotonicity,[status(thm)],[1080])).
% 48.65/31.64 tff(1165,plain,
% 48.65/31.64 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.64 inference(symmetry,[status(thm)],[1164])).
% 48.65/31.64 tff(1166,plain,
% 48.65/31.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.64 inference(quant_inst,[status(thm)],[])).
% 48.65/31.64 tff(1167,plain,
% 48.65/31.64 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.64 inference(unit_resolution,[status(thm)],[1166, 7])).
% 48.65/31.64 tff(1168,plain,
% 48.65/31.64 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.64 inference(symmetry,[status(thm)],[1167])).
% 48.65/31.64 tff(1169,plain,
% 48.65/31.64 (sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.65/31.64 inference(transitivity,[status(thm)],[1168, 1165])).
% 48.65/31.64 tff(1170,plain,
% 48.65/31.64 (sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.65/31.64 inference(monotonicity,[status(thm)],[1169])).
% 48.65/31.64 tff(1171,plain,
% 48.65/31.64 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.64 inference(monotonicity,[status(thm)],[1170])).
% 48.65/31.64 tff(1172,plain,
% 48.65/31.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.65/31.64 inference(quant_inst,[status(thm)],[])).
% 48.65/31.64 tff(1173,plain,
% 48.65/31.64 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.64 inference(unit_resolution,[status(thm)],[1172, 7])).
% 48.65/31.64 tff(1174,plain,
% 48.65/31.64 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.65/31.64 inference(symmetry,[status(thm)],[1173])).
% 48.65/31.64 tff(1175,plain,
% 48.65/31.64 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.64 inference(transitivity,[status(thm)],[1174, 1171])).
% 48.73/31.64 tff(1176,plain,
% 48.73/31.64 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.64 inference(monotonicity,[status(thm)],[1175])).
% 48.73/31.64 tff(1177,plain,
% 48.73/31.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.64 inference(quant_inst,[status(thm)],[])).
% 48.73/31.64 tff(1178,plain,
% 48.73/31.64 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.64 inference(unit_resolution,[status(thm)],[1177, 7])).
% 48.73/31.64 tff(1179,plain,
% 48.73/31.64 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.64 inference(symmetry,[status(thm)],[1178])).
% 48.73/31.64 tff(1180,plain,
% 48.73/31.64 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.64 inference(quant_inst,[status(thm)],[])).
% 48.73/31.64 tff(1181,plain,
% 48.73/31.64 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.64 inference(unit_resolution,[status(thm)],[1180, 7])).
% 48.73/31.64 tff(1182,plain,
% 48.73/31.64 (sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.64 inference(monotonicity,[status(thm)],[1169])).
% 48.73/31.64 tff(1183,plain,
% 48.73/31.64 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.64 inference(symmetry,[status(thm)],[1182])).
% 48.73/31.64 tff(1184,plain,
% 48.73/31.64 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1183])).
% 48.73/31.65 tff(1185,plain,
% 48.73/31.65 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(transitivity,[status(thm)],[1184, 1181])).
% 48.73/31.65 tff(1186,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1185])).
% 48.73/31.65 tff(1187,plain,
% 48.73/31.65 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1091])).
% 48.73/31.65 tff(1188,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1187])).
% 48.73/31.65 tff(1189,plain,
% 48.73/31.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(quant_inst,[status(thm)],[])).
% 48.73/31.65 tff(1190,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(unit_resolution,[status(thm)],[1189, 7])).
% 48.73/31.65 tff(1191,plain,
% 48.73/31.65 (sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1190])).
% 48.73/31.65 tff(1192,plain,
% 48.73/31.65 (sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(transitivity,[status(thm)],[1191, 1188])).
% 48.73/31.65 tff(1193,plain,
% 48.73/31.65 (sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1192])).
% 48.73/31.65 tff(1194,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1193])).
% 48.73/31.65 tff(1195,plain,
% 48.73/31.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.65 inference(quant_inst,[status(thm)],[])).
% 48.73/31.65 tff(1196,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.65 inference(unit_resolution,[status(thm)],[1195, 7])).
% 48.73/31.65 tff(1197,plain,
% 48.73/31.65 (sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x15), sep(lseg(x19, x1), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1196])).
% 48.73/31.65 tff(1198,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1192])).
% 48.73/31.65 tff(1199,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1198])).
% 48.73/31.65 tff(1200,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1183])).
% 48.73/31.65 tff(1201,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1200])).
% 48.73/31.65 tff(1202,plain,
% 48.73/31.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.65 inference(quant_inst,[status(thm)],[])).
% 48.73/31.65 tff(1203,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(unit_resolution,[status(thm)],[1202, 7])).
% 48.73/31.65 tff(1204,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1203])).
% 48.73/31.65 tff(1205,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1170])).
% 48.73/31.65 tff(1206,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1205])).
% 48.73/31.65 tff(1207,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(transitivity,[status(thm)],[1206, 1204, 1201, 1199])).
% 48.73/31.65 tff(1208,plain,
% 48.73/31.65 (sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1207])).
% 48.73/31.65 tff(1209,plain,
% 48.73/31.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(quant_inst,[status(thm)],[])).
% 48.73/31.65 tff(1210,plain,
% 48.73/31.65 (sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.73/31.65 inference(unit_resolution,[status(thm)],[1209, 7])).
% 48.73/31.65 tff(1211,plain,
% 48.73/31.65 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1210])).
% 48.73/31.65 tff(1212,plain,
% 48.73/31.65 (sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.73/31.65 inference(transitivity,[status(thm)],[1211, 1187])).
% 48.73/31.65 tff(1213,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1212])).
% 48.73/31.65 tff(1214,plain,
% 48.73/31.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(quant_inst,[status(thm)],[])).
% 48.73/31.65 tff(1215,plain,
% 48.73/31.65 (sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(unit_resolution,[status(thm)],[1214, 7])).
% 48.73/31.65 tff(1216,plain,
% 48.73/31.65 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(symmetry,[status(thm)],[1215])).
% 48.73/31.65 tff(1217,plain,
% 48.73/31.65 (sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.65 inference(transitivity,[status(thm)],[1216, 1213])).
% 48.73/31.65 tff(1218,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.65 inference(monotonicity,[status(thm)],[1217])).
% 48.73/31.65 tff(1219,plain,
% 48.73/31.65 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.65 inference(quant_inst,[status(thm)],[])).
% 48.73/31.65 tff(1220,plain,
% 48.73/31.65 (sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(unit_resolution,[status(thm)],[1219, 7])).
% 48.73/31.66 tff(1221,plain,
% 48.73/31.66 (sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x3, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1220])).
% 48.73/31.66 tff(1222,plain,
% 48.73/31.66 (sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(transitivity,[status(thm)],[1221, 1218])).
% 48.73/31.66 tff(1223,plain,
% 48.73/31.66 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1222])).
% 48.73/31.66 tff(1224,plain,
% 48.73/31.66 (sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(transitivity,[status(thm)],[1223, 1208, 1197, 1194, 1186, 1179, 1176])).
% 48.73/31.66 tff(1225,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1224])).
% 48.73/31.66 tff(1226,plain,
% 48.73/31.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.66 inference(quant_inst,[status(thm)],[])).
% 48.73/31.66 tff(1227,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.66 inference(unit_resolution,[status(thm)],[1226, 7])).
% 48.73/31.66 tff(1228,plain,
% 48.73/31.66 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1227])).
% 48.73/31.66 tff(1229,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1222])).
% 48.73/31.66 tff(1230,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1229])).
% 48.73/31.66 tff(1231,plain,
% 48.73/31.66 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x3, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1230])).
% 48.73/31.66 tff(1232,plain,
% 48.73/31.66 (sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))) = sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1187])).
% 48.73/31.66 tff(1233,plain,
% 48.73/31.66 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1232])).
% 48.73/31.66 tff(1234,plain,
% 48.73/31.66 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1233])).
% 48.73/31.66 tff(1235,plain,
% 48.73/31.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(quant_inst,[status(thm)],[])).
% 48.73/31.66 tff(1236,plain,
% 48.73/31.66 (sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(unit_resolution,[status(thm)],[1235, 7])).
% 48.73/31.66 tff(1237,plain,
% 48.73/31.66 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1236])).
% 48.73/31.66 tff(1238,plain,
% 48.73/31.66 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(transitivity,[status(thm)],[1237, 1234])).
% 48.73/31.66 tff(1239,plain,
% 48.73/31.66 (sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1238])).
% 48.73/31.66 tff(1240,plain,
% 48.73/31.66 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1239])).
% 48.73/31.66 tff(1241,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1240])).
% 48.73/31.66 tff(1242,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1241])).
% 48.73/31.66 tff(1243,plain,
% 48.73/31.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.66 inference(quant_inst,[status(thm)],[])).
% 48.73/31.66 tff(1244,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(unit_resolution,[status(thm)],[1243, 7])).
% 48.73/31.66 tff(1245,plain,
% 48.73/31.66 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(symmetry,[status(thm)],[1244])).
% 48.73/31.66 tff(1246,plain,
% 48.73/31.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(quant_inst,[status(thm)],[])).
% 48.73/31.66 tff(1247,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(unit_resolution,[status(thm)],[1246, 7])).
% 48.73/31.66 tff(1248,plain,
% 48.73/31.66 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(quant_inst,[status(thm)],[])).
% 48.73/31.66 tff(1249,plain,
% 48.73/31.66 (sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(unit_resolution,[status(thm)],[1248, 7])).
% 48.73/31.66 tff(1250,plain,
% 48.73/31.66 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x2, x18), sep(lseg(x11, x12), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1087])).
% 48.73/31.66 tff(1251,plain,
% 48.73/31.66 (sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))),
% 48.73/31.66 inference(transitivity,[status(thm)],[1250, 1249])).
% 48.73/31.66 tff(1252,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x5, x17), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1251])).
% 48.73/31.66 tff(1253,plain,
% 48.73/31.66 (sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))) = sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))),
% 48.73/31.66 inference(transitivity,[status(thm)],[1252, 1247])).
% 48.73/31.66 tff(1254,plain,
% 48.73/31.66 (sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.66 inference(monotonicity,[status(thm)],[1253])).
% 48.73/31.66 tff(1255,plain,
% 48.73/31.66 (sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.67 inference(symmetry,[status(thm)],[1254])).
% 48.73/31.67 tff(1256,plain,
% 48.73/31.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.67 inference(quant_inst,[status(thm)],[])).
% 48.73/31.67 tff(1257,plain,
% 48.73/31.67 (sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.67 inference(unit_resolution,[status(thm)],[1256, 7])).
% 48.73/31.67 tff(1258,plain,
% 48.73/31.67 (sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x12, x20), sep(lseg(x11, x12), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.67 inference(symmetry,[status(thm)],[1257])).
% 48.73/31.67 tff(1259,plain,
% 48.73/31.67 (sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))),
% 48.73/31.67 inference(transitivity,[status(thm)],[1258, 1255, 1245, 1242])).
% 48.73/31.67 tff(1260,plain,
% 48.73/31.67 (sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.67 inference(monotonicity,[status(thm)],[1259])).
% 48.73/31.67 tff(1261,plain,
% 48.73/31.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.67 inference(quant_inst,[status(thm)],[])).
% 48.73/31.67 tff(1262,plain,
% 48.73/31.67 (sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.67 inference(unit_resolution,[status(thm)],[1261, 7])).
% 48.73/31.67 tff(1263,plain,
% 48.73/31.67 (sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x19, x1), sep(lseg(x11, x12), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.67 inference(symmetry,[status(thm)],[1262])).
% 48.73/31.67 tff(1264,plain,
% 48.73/31.67 (sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.67 inference(transitivity,[status(thm)],[1263, 1260, 1231, 1228, 1225])).
% 48.73/31.67 tff(1265,plain,
% 48.73/31.67 (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x7, x16), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.67 inference(monotonicity,[status(thm)],[1264])).
% 48.73/31.67 tff(1266,plain,
% 48.73/31.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.67 inference(quant_inst,[status(thm)],[])).
% 48.73/31.67 tff(1267,plain,
% 48.73/31.67 (sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.67 inference(unit_resolution,[status(thm)],[1266, 7])).
% 48.73/31.67 tff(1268,plain,
% 48.73/31.67 (sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x7, x16), sep(lseg(x11, x12), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.67 inference(symmetry,[status(thm)],[1267])).
% 48.73/31.67 tff(1269,plain,
% 48.73/31.67 (sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.67 inference(transitivity,[status(thm)],[1268, 1265, 1163, 1160, 1136, 1133, 1130, 1121, 1060, 1120, 1111])).
% 48.73/31.67 tff(1270,plain,
% 48.73/31.67 (sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.67 inference(monotonicity,[status(thm)],[1269])).
% 48.73/31.67 tff(1271,plain,
% 48.73/31.67 (heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.67 inference(monotonicity,[status(thm)],[1270])).
% 48.73/31.67 tff(1272,plain,
% 48.73/31.67 (heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.67 inference(symmetry,[status(thm)],[1271])).
% 48.73/31.67 tff(1273,assumption,(~heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))), introduced(assumption)).
% 48.73/31.67 tff(1274,plain,
% 48.73/31.67 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.67 inference(quant_inst,[status(thm)],[])).
% 48.73/31.67 tff(1275,plain,
% 48.73/31.67 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.67 inference(unit_resolution,[status(thm)],[1274, 7])).
% 48.73/31.67 tff(1276,plain,
% 48.73/31.67 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.67 inference(symmetry,[status(thm)],[1275])).
% 48.73/31.67 tff(1277,plain,
% 48.73/31.67 (sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.68 inference(monotonicity,[status(thm)],[1276])).
% 48.73/31.68 tff(1278,plain,
% 48.73/31.68 (sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.68 inference(symmetry,[status(thm)],[1277])).
% 48.73/31.68 tff(1279,plain,
% 48.73/31.68 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(monotonicity,[status(thm)],[1278])).
% 48.73/31.68 tff(1280,plain,
% 48.73/31.68 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(symmetry,[status(thm)],[1279])).
% 48.73/31.68 tff(1281,plain,
% 48.73/31.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.68 inference(quant_inst,[status(thm)],[])).
% 48.73/31.68 tff(1282,plain,
% 48.73/31.68 (sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(unit_resolution,[status(thm)],[1281, 7])).
% 48.73/31.68 tff(1283,plain,
% 48.73/31.68 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(symmetry,[status(thm)],[1282])).
% 48.73/31.68 tff(1284,plain,
% 48.73/31.68 (sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(transitivity,[status(thm)],[1283, 1280])).
% 48.73/31.68 tff(1285,plain,
% 48.73/31.68 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.68 inference(monotonicity,[status(thm)],[1284])).
% 48.73/31.68 tff(1286,plain,
% 48.73/31.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.73/31.68 inference(quant_inst,[status(thm)],[])).
% 48.73/31.68 tff(1287,plain,
% 48.73/31.68 (sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.68 inference(unit_resolution,[status(thm)],[1286, 7])).
% 48.73/31.68 tff(1288,plain,
% 48.73/31.68 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.68 inference(symmetry,[status(thm)],[1287])).
% 48.73/31.68 tff(1289,plain,
% 48.73/31.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(quant_inst,[status(thm)],[])).
% 48.73/31.68 tff(1290,plain,
% 48.73/31.68 (sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.68 inference(unit_resolution,[status(thm)],[1289, 7])).
% 48.73/31.68 tff(1291,plain,
% 48.73/31.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.68 inference(quant_inst,[status(thm)],[])).
% 48.73/31.68 tff(1292,plain,
% 48.73/31.68 (sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.68 inference(unit_resolution,[status(thm)],[1291, 7])).
% 48.73/31.68 tff(1293,plain,
% 48.73/31.68 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.68 inference(monotonicity,[status(thm)],[173])).
% 48.73/31.68 tff(1294,plain,
% 48.73/31.68 (sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))) = sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))),
% 48.73/31.68 inference(transitivity,[status(thm)],[1276, 1293, 1292])).
% 48.73/31.68 tff(1295,plain,
% 48.73/31.68 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x5, x17), sep(lseg(x12, x11), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.68 inference(monotonicity,[status(thm)],[1294])).
% 48.73/31.68 tff(1296,plain,
% 48.73/31.68 (sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.68 inference(transitivity,[status(thm)],[1295, 1290])).
% 48.73/31.68 tff(1297,plain,
% 48.73/31.68 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(monotonicity,[status(thm)],[1296])).
% 48.73/31.68 tff(1298,plain,
% 48.73/31.68 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(symmetry,[status(thm)],[1297])).
% 48.73/31.68 tff(1299,plain,
% 48.73/31.68 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.68 inference(quant_inst,[status(thm)],[])).
% 48.73/31.68 tff(1300,plain,
% 48.73/31.68 (sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(unit_resolution,[status(thm)],[1299, 7])).
% 48.73/31.68 tff(1301,plain,
% 48.73/31.68 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(symmetry,[status(thm)],[1300])).
% 48.73/31.68 tff(1302,plain,
% 48.73/31.68 (sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.73/31.68 inference(transitivity,[status(thm)],[1268, 1265, 1163, 1160, 1136, 1133, 1130])).
% 48.73/31.68 tff(1303,plain,
% 48.73/31.68 (sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.68 inference(monotonicity,[status(thm)],[1302])).
% 48.73/31.68 tff(1304,plain,
% 48.73/31.68 (sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.69 inference(transitivity,[status(thm)],[1303, 1301, 1298])).
% 48.73/31.69 tff(1305,plain,
% 48.73/31.69 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.69 inference(monotonicity,[status(thm)],[1304])).
% 48.73/31.69 tff(1306,plain,
% 48.73/31.69 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.69 inference(transitivity,[status(thm)],[1305, 1288, 1285, 618])).
% 48.73/31.69 tff(1307,plain,
% 48.73/31.69 (heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.73/31.69 inference(monotonicity,[status(thm)],[1306])).
% 48.73/31.69 tff(1308,plain,
% 48.73/31.69 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.73/31.69 inference(symmetry,[status(thm)],[1307])).
% 48.73/31.69 tff(1309,plain,
% 48.73/31.69 (heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.73/31.69 inference(modus_ponens,[status(thm)],[615, 1308])).
% 48.73/31.69 tff(1310,plain,
% 48.73/31.69 (^[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)))))))),
% 48.73/31.69 inference(bind,[status(th)],[])).
% 48.73/31.69 tff(1311,plain,
% 48.73/31.69 (![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))))))),
% 48.73/31.69 inference(quant_intro,[status(thm)],[1310])).
% 48.73/31.69 tff(1312,plain,
% 48.73/31.69 (![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))))))),
% 48.73/31.69 inference(rewrite,[status(thm)],[])).
% 48.73/31.69 tff(1313,plain,
% 48.73/31.69 (^[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)))))))),
% 48.73/31.69 inference(bind,[status(th)],[])).
% 48.73/31.69 tff(1314,plain,
% 48.73/31.69 (![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))))))),
% 48.73/31.69 inference(quant_intro,[status(thm)],[1313])).
% 48.73/31.69 tff(1315,axiom,(![Sigma: $i, W: $i, Z: $i, Y: $i, X: $i] : (((~heap(sep(lseg(X, Y), sep(lseg(Y, Z), sep(lseg(Z, W), Sigma))))) | (Z = W)) | heap(sep(lseg(X, Z), sep(lseg(Z, W), Sigma))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax','unfolding_5')).
% 48.73/31.69 tff(1316,plain,
% 48.73/31.69 (![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))))))),
% 48.73/31.69 inference(modus_ponens,[status(thm)],[1315, 1314])).
% 48.73/31.69 tff(1317,plain,
% 48.73/31.69 (![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))))))),
% 48.73/31.69 inference(modus_ponens,[status(thm)],[1316, 1312])).
% 48.73/31.69 tff(1318,plain,(
% 48.73/31.69 ![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))))))),
% 48.73/31.69 inference(skolemize,[status(sab)],[1317])).
% 48.73/31.69 tff(1319,plain,
% 48.73/31.69 (![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))))))),
% 48.73/31.69 inference(modus_ponens,[status(thm)],[1318, 1311])).
% 48.73/31.69 tff(1320,plain,
% 48.73/31.69 (((~![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))))))) | ((x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), 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))))))) | (x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.73/31.69 inference(rewrite,[status(thm)],[])).
% 48.73/31.69 tff(1321,plain,
% 48.73/31.69 ((heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (x11 = x12) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.73/31.69 inference(rewrite,[status(thm)],[])).
% 48.73/31.69 tff(1322,plain,
% 48.73/31.69 (((~![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(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (x11 = x12) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), 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))))))) | ((x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))))),
% 48.73/31.69 inference(monotonicity,[status(thm)],[1321])).
% 48.73/31.69 tff(1323,plain,
% 48.73/31.69 (((~![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(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (x11 = x12) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), 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))))))) | (x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.73/31.69 inference(transitivity,[status(thm)],[1322, 1320])).
% 48.73/31.69 tff(1324,plain,
% 48.73/31.69 ((~![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(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (x11 = x12) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.73/31.69 inference(quant_inst,[status(thm)],[])).
% 48.73/31.69 tff(1325,plain,
% 48.73/31.69 ((~![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))))))) | (x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.73/31.69 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 48.73/31.69 tff(1326,plain,
% 48.73/31.69 ((x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) | (~heap(sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.73/31.69 inference(unit_resolution,[status(thm)],[1325, 1319])).
% 48.73/31.69 tff(1327,plain,
% 48.73/31.69 ((x11 = x12) | heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.73/31.69 inference(unit_resolution,[status(thm)],[1326, 1309])).
% 48.73/31.69 tff(1328,plain,
% 48.73/31.69 (x11 = x12),
% 48.73/31.69 inference(unit_resolution,[status(thm)],[1327, 1273])).
% 48.73/31.69 tff(1329,plain,
% 48.73/31.69 (lseg(x4, x11) = lseg(x4, x12)),
% 48.73/31.69 inference(monotonicity,[status(thm)],[1328])).
% 48.73/31.69 tff(1330,plain,
% 48.73/31.69 (sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.73/31.69 inference(monotonicity,[status(thm)],[1329, 1113])).
% 48.78/31.70 tff(1331,plain,
% 48.78/31.70 (sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.78/31.70 inference(transitivity,[status(thm)],[1330, 1046, 730, 1045, 794])).
% 48.78/31.70 tff(1332,plain,
% 48.78/31.70 (heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(monotonicity,[status(thm)],[1331])).
% 48.78/31.70 tff(1333,plain,
% 48.78/31.70 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(symmetry,[status(thm)],[1332])).
% 48.78/31.70 tff(1334,plain,
% 48.78/31.70 ((~![Sigma: $i, X: $i] : (sep(lseg(X, X), Sigma) = Sigma)) | (sep(lseg(x12, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(quant_inst,[status(thm)],[])).
% 48.78/31.70 tff(1335,plain,
% 48.78/31.70 (sep(lseg(x12, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.78/31.70 inference(unit_resolution,[status(thm)],[1334, 193])).
% 48.78/31.70 tff(1336,plain,
% 48.78/31.70 (lseg(x12, x11) = lseg(x12, x12)),
% 48.78/31.70 inference(monotonicity,[status(thm)],[1328])).
% 48.78/31.70 tff(1337,plain,
% 48.78/31.70 (lseg(x12, x12) = lseg(x12, x11)),
% 48.78/31.70 inference(symmetry,[status(thm)],[1336])).
% 48.78/31.70 tff(1338,plain,
% 48.78/31.70 (sep(lseg(x12, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(monotonicity,[status(thm)],[1337])).
% 48.78/31.70 tff(1339,plain,
% 48.78/31.70 (sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x12), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(symmetry,[status(thm)],[1338])).
% 48.78/31.70 tff(1340,plain,
% 48.78/31.70 ((~![Sigma: $i, S: $i, T: $i] : (sep(S, sep(T, Sigma)) = sep(T, sep(S, Sigma)))) | (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.78/31.70 inference(quant_inst,[status(thm)],[])).
% 48.78/31.70 tff(1341,plain,
% 48.78/31.70 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x11), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(unit_resolution,[status(thm)],[1340, 7])).
% 48.78/31.70 tff(1342,plain,
% 48.78/31.70 (sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.78/31.70 inference(transitivity,[status(thm)],[1301, 1298])).
% 48.78/31.70 tff(1343,plain,
% 48.78/31.70 (sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(monotonicity,[status(thm)],[1342])).
% 48.78/31.70 tff(1344,plain,
% 48.78/31.70 (sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x4, x12), sep(lseg(x12, x11), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(symmetry,[status(thm)],[1343])).
% 48.78/31.70 tff(1345,plain,
% 48.78/31.70 (sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x5, x17), sep(lseg(x12, x15), sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(symmetry,[status(thm)],[1285])).
% 48.78/31.70 tff(1346,plain,
% 48.78/31.70 (sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.78/31.70 inference(transitivity,[status(thm)],[212, 1345, 1287, 1344, 1341, 1339, 1335, 1046, 730, 1045, 794])).
% 48.78/31.70 tff(1347,plain,
% 48.78/31.70 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(monotonicity,[status(thm)],[1346])).
% 48.78/31.70 tff(1348,plain,
% 48.78/31.70 (heap(sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x12, x11), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))) <=> heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(transitivity,[status(thm)],[1347, 1333, 1272])).
% 48.78/31.70 tff(1349,plain,
% 48.78/31.70 (heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(modus_ponens,[status(thm)],[615, 1348])).
% 48.78/31.70 tff(1350,plain,
% 48.78/31.70 ($false),
% 48.78/31.70 inference(unit_resolution,[status(thm)],[1273, 1349])).
% 48.78/31.70 tff(1351,plain,(heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x7, x16), sep(lseg(x19, x1), sep(lseg(x12, x20), sep(lseg(x5, x17), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 48.78/31.70 tff(1352,plain,
% 48.78/31.70 (heap(sep(lseg(x4, x11), sep(lseg(x11, x12), sep(lseg(x2, x18), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x7, x16), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(modus_ponens,[status(thm)],[1351, 1271])).
% 48.78/31.70 tff(1353,plain,
% 48.78/31.70 (heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.70 inference(modus_ponens,[status(thm)],[1352, 1119])).
% 48.78/31.70 tff(1354,plain,
% 48.78/31.70 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.70 inference(rewrite,[status(thm)],[])).
% 48.78/31.70 tff(1355,plain,
% 48.78/31.70 (((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))) <=> ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.70 inference(rewrite,[status(thm)],[])).
% 48.78/31.70 tff(1356,plain,
% 48.78/31.70 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.78/31.70 inference(monotonicity,[status(thm)],[1355])).
% 48.78/31.70 tff(1357,plain,
% 48.78/31.70 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.70 inference(transitivity,[status(thm)],[1356, 1354])).
% 48.78/31.70 tff(1358,plain,
% 48.78/31.70 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x3 = x12) | (x3 = x20) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.70 inference(quant_inst,[status(thm)],[])).
% 48.78/31.70 tff(1359,plain,
% 48.78/31.70 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x3 = x20) | (x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.78/31.71 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 48.78/31.71 tff(1360,plain,
% 48.78/31.71 ((x3 = x12) | (~heap(sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x17, x14), sep(lseg(x4, x12), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x6, x17), sep(lseg(x11, x12), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.78/31.71 inference(unit_resolution,[status(thm)],[1359, 602, 591])).
% 48.78/31.71 tff(1361,plain,
% 48.78/31.71 (x3 = x12),
% 48.78/31.71 inference(unit_resolution,[status(thm)],[1360, 1353])).
% 48.78/31.71 tff(1362,plain,
% 48.78/31.71 (lseg(x3, x20) = lseg(x12, x20)),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1361])).
% 48.78/31.71 tff(1363,plain,
% 48.78/31.71 (lseg(x12, x20) = lseg(x3, x20)),
% 48.78/31.71 inference(symmetry,[status(thm)],[1362])).
% 48.78/31.71 tff(1364,plain,
% 48.78/31.71 (sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x3, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1363])).
% 48.78/31.71 tff(1365,plain,
% 48.78/31.71 (x11 = x12),
% 48.78/31.71 inference(symmetry,[status(thm)],[648])).
% 48.78/31.71 tff(1366,plain,
% 48.78/31.71 (lseg(x11, x20) = lseg(x12, x20)),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1365])).
% 48.78/31.71 tff(1367,plain,
% 48.78/31.71 (sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1366])).
% 48.78/31.71 tff(1368,plain,
% 48.78/31.71 (sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))) = sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))),
% 48.78/31.71 inference(transitivity,[status(thm)],[1367, 1364, 767, 764])).
% 48.78/31.71 tff(1369,plain,
% 48.78/31.71 (sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x12, x15), sep(lseg(x2, x18), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1366, 1368])).
% 48.78/31.71 tff(1370,plain,
% 48.78/31.71 (sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.78/31.71 inference(transitivity,[status(thm)],[1369, 747, 731, 728, 712, 695, 693, 673, 136, 133, 117, 106, 104, 79, 60, 58, 51])).
% 48.78/31.71 tff(1371,plain,
% 48.78/31.71 (heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1370])).
% 48.78/31.71 tff(1372,plain,
% 48.78/31.71 (heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.71 inference(symmetry,[status(thm)],[1371])).
% 48.78/31.71 tff(1373,plain,
% 48.78/31.71 (sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))) = sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))),
% 48.78/31.71 inference(transitivity,[status(thm)],[793, 747, 731, 728, 712, 695, 693, 673, 136, 133, 117, 106, 104, 79, 60, 58, 51])).
% 48.78/31.71 tff(1374,plain,
% 48.78/31.71 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))) <=> heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1373])).
% 48.78/31.71 tff(1375,plain,
% 48.78/31.71 (heap(sep(lseg(x12, x20), sep(lseg(x12, x15), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.71 inference(modus_ponens,[status(thm)],[1352, 1118])).
% 48.78/31.71 tff(1376,plain,
% 48.78/31.71 (heap(sep(lseg(x12, x20), sep(lseg(x12, x11), sep(lseg(x5, x17), sep(lseg(x19, x1), sep(lseg(x4, x12), sep(lseg(x17, x14), sep(lseg(x2, x18), sep(lseg(x7, x16), sep(lseg(x3, x20), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.71 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 48.78/31.71 tff(1377,plain,
% 48.78/31.71 (heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.71 inference(modus_ponens,[status(thm)],[1376, 1372])).
% 48.78/31.71 tff(1378,plain,
% 48.78/31.71 ((x11 = x20) <=> (x12 = x20)),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1365])).
% 48.78/31.71 tff(1379,plain,
% 48.78/31.71 ((x12 = x20) <=> (x11 = x20)),
% 48.78/31.71 inference(symmetry,[status(thm)],[1378])).
% 48.78/31.71 tff(1380,plain,
% 48.78/31.71 ((~(x12 = x20)) <=> (~(x11 = x20))),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1379])).
% 48.78/31.71 tff(1381,plain,
% 48.78/31.71 (~(x11 = x20)),
% 48.78/31.71 inference(modus_ponens,[status(thm)],[617, 1380])).
% 48.78/31.71 tff(1382,plain,
% 48.78/31.71 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.71 inference(rewrite,[status(thm)],[])).
% 48.78/31.71 tff(1383,plain,
% 48.78/31.71 (((x11 = x20) | (x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))) <=> ((x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.71 inference(rewrite,[status(thm)],[])).
% 48.78/31.71 tff(1384,plain,
% 48.78/31.71 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x20) | (x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))))),
% 48.78/31.71 inference(monotonicity,[status(thm)],[1383])).
% 48.78/31.71 tff(1385,plain,
% 48.78/31.71 (((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x20) | (x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))) <=> ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.71 inference(transitivity,[status(thm)],[1384, 1382])).
% 48.78/31.71 tff(1386,plain,
% 48.78/31.71 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | ((x11 = x20) | (x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))))),
% 48.78/31.71 inference(quant_inst,[status(thm)],[])).
% 48.78/31.71 tff(1387,plain,
% 48.78/31.71 ((~![Sigma: $i, Z: $i, Y: $i, X: $i] : ((X = Z) | (X = Y) | (~heap(sep(lseg(X, Y), sep(lseg(X, Z), Sigma)))))) | (x11 = x20) | (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp)))))))))))))))),
% 48.78/31.72 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 48.78/31.72 tff(1388,plain,
% 48.78/31.72 (~heap(sep(lseg(x11, x20), sep(lseg(x11, x20), sep(lseg(x19, x1), sep(lseg(x5, x17), sep(lseg(x4, x12), sep(lseg(x2, x18), sep(lseg(x12, x15), sep(lseg(x17, x14), sep(lseg(x7, x16), sep(lseg(x3, x12), sep(lseg(x11, x12), sep(lseg(x6, x17), sep(lseg(x6, x19), emp))))))))))))))),
% 48.78/31.72 inference(unit_resolution,[status(thm)],[1387, 602, 1381])).
% 48.78/31.72 tff(1389,plain,
% 48.78/31.72 ($false),
% 48.78/31.72 inference(unit_resolution,[status(thm)],[1388, 1377])).
% 48.78/31.72 % SZS output end Proof
%------------------------------------------------------------------------------