TSTP Solution File: ALG110+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 : Tue Sep 6 16:08:05 EDT 2022
% Result : Theorem 0.21s 0.47s
% Output : Proof 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 13:50:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.47 % SZS status Theorem
% 0.21/0.47 % SZS output start Proof
% 0.21/0.47 tff(op2_type, type, (
% 0.21/0.47 op2: ( $i * $i ) > $i)).
% 0.21/0.47 tff(h2_type, type, (
% 0.21/0.47 h2: $i > $i)).
% 0.21/0.47 tff(op1_type, type, (
% 0.21/0.47 op1: ( $i * $i ) > $i)).
% 0.21/0.47 tff(e12_type, type, (
% 0.21/0.47 e12: $i)).
% 0.21/0.47 tff(h4_type, type, (
% 0.21/0.47 h4: $i > $i)).
% 0.21/0.47 tff(h1_type, type, (
% 0.21/0.47 h1: $i > $i)).
% 0.21/0.47 tff(h3_type, type, (
% 0.21/0.47 h3: $i > $i)).
% 0.21/0.47 tff(e23_type, type, (
% 0.21/0.47 e23: $i)).
% 0.21/0.47 tff(e20_type, type, (
% 0.21/0.47 e20: $i)).
% 0.21/0.47 tff(e22_type, type, (
% 0.21/0.47 e22: $i)).
% 0.21/0.47 tff(e21_type, type, (
% 0.21/0.47 e21: $i)).
% 0.21/0.47 tff(e13_type, type, (
% 0.21/0.47 e13: $i)).
% 0.21/0.47 tff(e11_type, type, (
% 0.21/0.47 e11: $i)).
% 0.21/0.47 tff(e10_type, type, (
% 0.21/0.47 e10: $i)).
% 0.21/0.47 tff(1,assumption,(op2(h1(e12), h2(e12)) = h4(e12)), introduced(assumption)).
% 0.21/0.47 tff(2,plain,
% 0.21/0.47 ((op2(h1(e12), h2(e12)) = h1(e12)) <=> (h4(e12) = h1(e12))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[1])).
% 0.21/0.47 tff(3,plain,
% 0.21/0.47 ((h4(e12) = h1(e12)) <=> (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.21/0.47 inference(symmetry,[status(thm)],[2])).
% 0.21/0.47 tff(4,plain,
% 0.21/0.47 ((~(h4(e12) = h1(e12))) <=> (~(op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[3])).
% 0.21/0.47 tff(5,plain,
% 0.21/0.47 ((h1(e12) = h4(e12)) <=> (h4(e12) = h1(e12))),
% 0.21/0.47 inference(commutativity,[status(thm)],[])).
% 0.21/0.47 tff(6,plain,
% 0.21/0.47 ((~(h1(e12) = h4(e12))) <=> (~(h4(e12) = h1(e12)))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[5])).
% 0.21/0.47 tff(7,plain,
% 0.21/0.47 ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> (~(h1(e12) = h4(e12)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(8,plain,
% 0.21/0.47 ((~(e20 = e23)) <=> (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(9,plain,
% 0.21/0.47 ((~(e20 = e23)) <=> (~(e20 = e23))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(10,axiom,((((((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))) & (~(e21 = e22))) & (~(e21 = e23))) & (~(e22 = e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax8')).
% 0.21/0.47 tff(11,plain,
% 0.21/0.47 (((((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))) & (~(e21 = e22))) & (~(e21 = e23))),
% 0.21/0.47 inference(and_elim,[status(thm)],[10])).
% 0.21/0.47 tff(12,plain,
% 0.21/0.47 ((((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))) & (~(e21 = e22))),
% 0.21/0.47 inference(and_elim,[status(thm)],[11])).
% 0.21/0.47 tff(13,plain,
% 0.21/0.47 (((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))),
% 0.21/0.47 inference(and_elim,[status(thm)],[12])).
% 0.21/0.47 tff(14,plain,
% 0.21/0.47 (~(e20 = e23)),
% 0.21/0.47 inference(and_elim,[status(thm)],[13])).
% 0.21/0.47 tff(15,plain,
% 0.21/0.47 (~(e20 = e23)),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[14, 9])).
% 0.21/0.47 tff(16,plain,
% 0.21/0.47 (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.21/0.47 tff(17,plain,
% 0.21/0.47 (~(h1(e12) = h4(e12))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[16, 7])).
% 0.21/0.47 tff(18,plain,
% 0.21/0.47 (~(h4(e12) = h1(e12))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[17, 6])).
% 0.21/0.47 tff(19,plain,
% 0.21/0.47 (~(op2(h1(e12), h2(e12)) = h1(e12))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[18, 4])).
% 0.21/0.47 tff(20,plain,
% 0.21/0.47 (((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(21,plain,
% 0.21/0.47 ((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h1(e12)) = h2(e12))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.21/0.47 tff(22,plain,
% 0.21/0.47 ((h4(e12) = op2(h4(e12), h2(e12))) <=> (op2(h4(e12), h2(e12)) = h4(e12))),
% 0.21/0.47 inference(commutativity,[status(thm)],[])).
% 0.21/0.47 tff(23,plain,
% 0.21/0.47 ((op2(h1(e12), h2(e12)) = op2(h4(e12), h2(e12))) <=> (h4(e12) = op2(h4(e12), h2(e12)))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[1])).
% 0.21/0.47 tff(24,plain,
% 0.21/0.47 ((op2(h1(e12), h2(e12)) = op2(h4(e12), h2(e12))) <=> (op2(h4(e12), h2(e12)) = h4(e12))),
% 0.21/0.47 inference(transitivity,[status(thm)],[23, 22])).
% 0.21/0.47 tff(25,plain,
% 0.21/0.47 ((~(op2(h1(e12), h2(e12)) = op2(h4(e12), h2(e12)))) <=> (~(op2(h4(e12), h2(e12)) = h4(e12)))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[24])).
% 0.21/0.47 tff(26,plain,
% 0.21/0.47 ((~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))))) <=> (~(op2(h1(e12), h2(e12)) = op2(h4(e12), h2(e12))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(27,plain,
% 0.21/0.47 ((~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) <=> (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12)))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(28,plain,
% 0.21/0.48 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) <=> (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(29,plain,
% 0.21/0.48 ((~(op2(e20, e21) = op2(e23, e21))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(30,plain,
% 0.21/0.48 ((~(op2(e20, e21) = op2(e23, e21))) <=> (~(op2(e20, e21) = op2(e23, e21)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(31,axiom,((((((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))) & (~(op2(e23, e21) = op2(e23, e22)))) & (~(op2(e23, e21) = op2(e23, e23)))) & (~(op2(e23, e22) = op2(e23, e23)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax6')).
% 0.21/0.48 tff(32,plain,
% 0.21/0.48 (((((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))) & (~(op2(e23, e21) = op2(e23, e22)))) & (~(op2(e23, e21) = op2(e23, e23)))),
% 0.21/0.49 inference(and_elim,[status(thm)],[31])).
% 0.21/0.49 tff(33,plain,
% 0.21/0.49 ((((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))) & (~(op2(e23, e21) = op2(e23, e22)))),
% 0.21/0.49 inference(and_elim,[status(thm)],[32])).
% 0.21/0.49 tff(34,plain,
% 0.21/0.49 (((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))),
% 0.21/0.49 inference(and_elim,[status(thm)],[33])).
% 0.21/0.49 tff(35,plain,
% 0.21/0.49 ((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))),
% 0.21/0.49 inference(and_elim,[status(thm)],[34])).
% 0.21/0.49 tff(36,plain,
% 0.21/0.49 (((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))),
% 0.21/0.49 inference(and_elim,[status(thm)],[35])).
% 0.21/0.50 tff(37,plain,
% 0.21/0.50 ((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))),
% 0.21/0.50 inference(and_elim,[status(thm)],[36])).
% 0.21/0.50 tff(38,plain,
% 0.21/0.50 (((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))),
% 0.21/0.50 inference(and_elim,[status(thm)],[37])).
% 0.21/0.50 tff(39,plain,
% 0.21/0.50 ((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))),
% 0.21/0.51 inference(and_elim,[status(thm)],[38])).
% 0.21/0.51 tff(40,plain,
% 0.21/0.51 (((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))),
% 0.21/0.51 inference(and_elim,[status(thm)],[39])).
% 0.21/0.51 tff(41,plain,
% 0.21/0.51 ((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))),
% 0.21/0.51 inference(and_elim,[status(thm)],[40])).
% 0.21/0.51 tff(42,plain,
% 0.21/0.51 (((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))),
% 0.21/0.52 inference(and_elim,[status(thm)],[41])).
% 0.21/0.52 tff(43,plain,
% 0.21/0.52 ((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))),
% 0.21/0.52 inference(and_elim,[status(thm)],[42])).
% 0.21/0.52 tff(44,plain,
% 0.21/0.52 (((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))),
% 0.21/0.53 inference(and_elim,[status(thm)],[43])).
% 0.21/0.53 tff(45,plain,
% 0.21/0.53 ((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))),
% 0.21/0.53 inference(and_elim,[status(thm)],[44])).
% 0.21/0.53 tff(46,plain,
% 0.21/0.53 (((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))),
% 0.21/0.53 inference(and_elim,[status(thm)],[45])).
% 0.21/0.53 tff(47,plain,
% 0.21/0.53 ((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[46])).
% 0.21/0.54 tff(48,plain,
% 0.21/0.54 (((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[47])).
% 0.21/0.54 tff(49,plain,
% 0.21/0.54 ((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[48])).
% 0.21/0.54 tff(50,plain,
% 0.21/0.54 (((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[49])).
% 0.21/0.54 tff(51,plain,
% 0.21/0.54 ((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[50])).
% 0.21/0.54 tff(52,plain,
% 0.21/0.54 (((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[51])).
% 0.21/0.54 tff(53,plain,
% 0.21/0.54 ((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[52])).
% 0.21/0.54 tff(54,plain,
% 0.21/0.54 (((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))),
% 0.21/0.54 inference(and_elim,[status(thm)],[53])).
% 0.21/0.55 tff(55,plain,
% 0.21/0.55 ((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))),
% 0.21/0.55 inference(and_elim,[status(thm)],[54])).
% 0.21/0.55 tff(56,plain,
% 0.21/0.55 (((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))),
% 0.21/0.55 inference(and_elim,[status(thm)],[55])).
% 0.21/0.55 tff(57,plain,
% 0.21/0.55 ((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))),
% 0.21/0.55 inference(and_elim,[status(thm)],[56])).
% 0.21/0.55 tff(58,plain,
% 0.21/0.55 (((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))),
% 0.21/0.55 inference(and_elim,[status(thm)],[57])).
% 0.21/0.55 tff(59,plain,
% 0.21/0.55 ((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))),
% 0.42/0.56 inference(and_elim,[status(thm)],[58])).
% 0.42/0.56 tff(60,plain,
% 0.42/0.56 (((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))),
% 0.42/0.56 inference(and_elim,[status(thm)],[59])).
% 0.42/0.56 tff(61,plain,
% 0.42/0.56 ((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))),
% 0.42/0.56 inference(and_elim,[status(thm)],[60])).
% 0.42/0.56 tff(62,plain,
% 0.42/0.56 (((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))),
% 0.42/0.56 inference(and_elim,[status(thm)],[61])).
% 0.42/0.56 tff(63,plain,
% 0.42/0.56 ((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))),
% 0.42/0.56 inference(and_elim,[status(thm)],[62])).
% 0.42/0.56 tff(64,plain,
% 0.42/0.56 (((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))),
% 0.42/0.57 inference(and_elim,[status(thm)],[63])).
% 0.42/0.57 tff(65,plain,
% 0.42/0.57 ((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))),
% 0.42/0.57 inference(and_elim,[status(thm)],[64])).
% 0.42/0.57 tff(66,plain,
% 0.42/0.57 (((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))),
% 0.42/0.57 inference(and_elim,[status(thm)],[65])).
% 0.42/0.57 tff(67,plain,
% 0.42/0.57 ((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))),
% 0.42/0.57 inference(and_elim,[status(thm)],[66])).
% 0.42/0.57 tff(68,plain,
% 0.42/0.57 (((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))),
% 0.42/0.57 inference(and_elim,[status(thm)],[67])).
% 0.42/0.57 tff(69,plain,
% 0.42/0.57 ((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))),
% 0.42/0.57 inference(and_elim,[status(thm)],[68])).
% 0.42/0.57 tff(70,plain,
% 0.42/0.57 (((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))),
% 0.42/0.57 inference(and_elim,[status(thm)],[69])).
% 0.42/0.57 tff(71,plain,
% 0.42/0.57 (~(op2(e20, e21) = op2(e23, e21))),
% 0.42/0.57 inference(and_elim,[status(thm)],[70])).
% 0.42/0.57 tff(72,plain,
% 0.42/0.57 (~(op2(e20, e21) = op2(e23, e21))),
% 0.42/0.57 inference(modus_ponens,[status(thm)],[71, 30])).
% 0.42/0.57 tff(73,plain,
% 0.42/0.57 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 0.42/0.57 inference(modus_ponens,[status(thm)],[72, 29])).
% 0.42/0.57 tff(74,plain,
% 0.42/0.57 (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 0.42/0.57 inference(modus_ponens,[status(thm)],[73, 28])).
% 0.42/0.57 tff(75,plain,
% 0.42/0.57 (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 0.42/0.57 inference(modus_ponens,[status(thm)],[74, 27])).
% 0.42/0.57 tff(76,plain,
% 0.42/0.57 (~(op2(h1(e12), h2(e12)) = op2(h4(e12), h2(e12)))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[75, 26])).
% 0.44/0.57 tff(77,plain,
% 0.44/0.57 (~(op2(h4(e12), h2(e12)) = h4(e12))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[76, 25])).
% 0.44/0.57 tff(78,plain,
% 0.44/0.57 (((~(op2(h4(e12), h2(e12)) = h4(e12))) | (op2(h2(e12), h4(e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))),
% 0.44/0.57 inference(tautology,[status(thm)],[])).
% 0.44/0.57 tff(79,plain,
% 0.44/0.57 ((~(op2(h4(e12), h2(e12)) = h4(e12))) | (op2(h2(e12), h4(e12)) = h2(e12))),
% 0.44/0.57 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.44/0.57 tff(80,plain,
% 0.44/0.57 ((h2(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.57 inference(commutativity,[status(thm)],[])).
% 0.44/0.57 tff(81,plain,
% 0.44/0.57 ((~(h2(e12) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12)))),
% 0.44/0.57 inference(monotonicity,[status(thm)],[80])).
% 0.44/0.57 tff(82,plain,
% 0.44/0.57 ((~(op2(op2(h4(e12), h4(e12)), h4(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(h2(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(83,plain,
% 0.44/0.57 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(84,plain,
% 0.44/0.57 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(85,plain,
% 0.44/0.57 ((~(op2(e20, e23) = op2(e22, e23))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(86,plain,
% 0.44/0.57 ((~(op2(e20, e23) = op2(e22, e23))) <=> (~(op2(e20, e23) = op2(e22, e23)))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(87,plain,
% 0.44/0.57 (~(op2(e20, e23) = op2(e22, e23))),
% 0.44/0.57 inference(and_elim,[status(thm)],[59])).
% 0.44/0.57 tff(88,plain,
% 0.44/0.57 (~(op2(e20, e23) = op2(e22, e23))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.44/0.57 tff(89,plain,
% 0.44/0.57 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[88, 85])).
% 0.44/0.57 tff(90,plain,
% 0.44/0.57 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[89, 84])).
% 0.44/0.57 tff(91,plain,
% 0.44/0.57 (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[90, 83])).
% 0.44/0.57 tff(92,plain,
% 0.44/0.57 (~(h2(e12) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[91, 82])).
% 0.44/0.57 tff(93,plain,
% 0.44/0.57 (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[92, 81])).
% 0.44/0.57 tff(94,plain,
% 0.44/0.57 ((h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))),
% 0.44/0.57 inference(commutativity,[status(thm)],[])).
% 0.44/0.57 tff(95,plain,
% 0.44/0.57 ((~(h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)))),
% 0.44/0.57 inference(monotonicity,[status(thm)],[94])).
% 0.44/0.57 tff(96,plain,
% 0.44/0.57 ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(97,plain,
% 0.44/0.57 ((~(op2(e22, e22) = op2(e22, e23))) <=> (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(98,plain,
% 0.44/0.57 ((~(op2(e22, e22) = op2(e22, e23))) <=> (~(op2(e22, e22) = op2(e22, e23)))),
% 0.44/0.57 inference(rewrite,[status(thm)],[])).
% 0.44/0.57 tff(99,plain,
% 0.44/0.57 (~(op2(e22, e22) = op2(e22, e23))),
% 0.44/0.57 inference(and_elim,[status(thm)],[37])).
% 0.44/0.57 tff(100,plain,
% 0.44/0.57 (~(op2(e22, e22) = op2(e22, e23))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.44/0.57 tff(101,plain,
% 0.44/0.57 (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.57 inference(modus_ponens,[status(thm)],[100, 97])).
% 0.44/0.58 tff(102,plain,
% 0.44/0.58 (~(h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.58 inference(modus_ponens,[status(thm)],[101, 96])).
% 0.44/0.58 tff(103,plain,
% 0.44/0.58 (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))),
% 0.44/0.58 inference(modus_ponens,[status(thm)],[102, 95])).
% 0.44/0.58 tff(104,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12)))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(105,plain,
% 0.44/0.58 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(106,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12)))),
% 0.44/0.58 inference(monotonicity,[status(thm)],[105])).
% 0.44/0.58 tff(107,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12)))),
% 0.44/0.58 inference(transitivity,[status(thm)],[106, 104])).
% 0.44/0.58 tff(108,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | $false | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(109,plain,
% 0.44/0.58 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(110,plain,
% 0.44/0.58 ((~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(111,plain,
% 0.44/0.58 ((~(op2(e22, e23) = op2(e23, e23))) <=> (~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(112,plain,
% 0.44/0.58 ((~(op2(e22, e23) = op2(e23, e23))) <=> (~(op2(e22, e23) = op2(e23, e23)))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(113,plain,
% 0.44/0.58 (~(op2(e22, e23) = op2(e23, e23))),
% 0.44/0.58 inference(and_elim,[status(thm)],[55])).
% 0.44/0.58 tff(114,plain,
% 0.44/0.58 (~(op2(e22, e23) = op2(e23, e23))),
% 0.44/0.58 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.44/0.58 tff(115,plain,
% 0.44/0.58 (~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.44/0.58 inference(modus_ponens,[status(thm)],[114, 111])).
% 0.44/0.58 tff(116,plain,
% 0.44/0.58 (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12))),
% 0.44/0.58 inference(modus_ponens,[status(thm)],[115, 110])).
% 0.44/0.58 tff(117,plain,
% 0.44/0.58 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) <=> $false),
% 0.44/0.58 inference(iff_false,[status(thm)],[116])).
% 0.44/0.58 tff(118,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | $false | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 0.44/0.58 inference(monotonicity,[status(thm)],[117, 109])).
% 0.44/0.58 tff(119,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 0.44/0.58 inference(transitivity,[status(thm)],[118, 108])).
% 0.44/0.58 tff(120,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(121,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(122,plain,
% 0.44/0.58 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(123,plain,
% 0.44/0.58 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(124,plain,
% 0.44/0.58 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12))),
% 0.44/0.58 inference(rewrite,[status(thm)],[])).
% 0.44/0.58 tff(125,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)))),
% 0.44/0.58 inference(monotonicity,[status(thm)],[124, 123, 122])).
% 0.44/0.58 tff(126,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 0.44/0.58 inference(transitivity,[status(thm)],[125, 121])).
% 0.44/0.58 tff(127,plain,
% 0.44/0.58 (((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(128,plain,
% 0.44/0.59 ((op2(e22, e23) = e23) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(129,plain,
% 0.44/0.59 ((op2(e22, e23) = e22) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(130,plain,
% 0.44/0.59 ((op2(e22, e23) = e21) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(131,plain,
% 0.44/0.59 ((op2(e22, e23) = e20) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(132,plain,
% 0.44/0.59 (((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23)) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.44/0.59 inference(monotonicity,[status(thm)],[131, 130, 129, 128])).
% 0.44/0.59 tff(133,plain,
% 0.44/0.59 (((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23)) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.44/0.59 inference(transitivity,[status(thm)],[132, 127])).
% 0.44/0.59 tff(134,plain,
% 0.44/0.59 (((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23)) <=> ((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(135,plain,
% 0.44/0.59 ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23)) <=> ((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(136,plain,
% 0.44/0.59 ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) <=> ((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22))),
% 0.44/0.59 inference(rewrite,[status(thm)],[])).
% 0.44/0.59 tff(137,plain,
% 0.44/0.59 (((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23)) <=> (((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))),
% 0.44/0.59 inference(monotonicity,[status(thm)],[136])).
% 0.44/0.59 tff(138,plain,
% 0.44/0.59 (((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23)) <=> ((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23))),
% 0.44/0.59 inference(transitivity,[status(thm)],[137, 135])).
% 0.44/0.59 tff(139,axiom,(((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))) & ((((op2(e23, e21) = e20) | (op2(e23, e21) = e21)) | (op2(e23, e21) = e22)) | (op2(e23, e21) = e23))) & ((((op2(e23, e22) = e20) | (op2(e23, e22) = e21)) | (op2(e23, e22) = e22)) | (op2(e23, e22) = e23))) & ((((op2(e23, e23) = e20) | (op2(e23, e23) = e21)) | (op2(e23, e23) = e22)) | (op2(e23, e23) = e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax3')).
% 0.44/0.60 tff(140,plain,
% 0.44/0.60 ((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))) & ((((op2(e23, e21) = e20) | (op2(e23, e21) = e21)) | (op2(e23, e21) = e22)) | (op2(e23, e21) = e23))) & ((((op2(e23, e22) = e20) | (op2(e23, e22) = e21)) | (op2(e23, e22) = e22)) | (op2(e23, e22) = e23))),
% 0.44/0.60 inference(and_elim,[status(thm)],[139])).
% 0.44/0.60 tff(141,plain,
% 0.44/0.60 (((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))) & ((((op2(e23, e21) = e20) | (op2(e23, e21) = e21)) | (op2(e23, e21) = e22)) | (op2(e23, e21) = e23))),
% 0.44/0.60 inference(and_elim,[status(thm)],[140])).
% 0.44/0.60 tff(142,plain,
% 0.44/0.60 ((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))),
% 0.44/0.61 inference(and_elim,[status(thm)],[141])).
% 0.44/0.61 tff(143,plain,
% 0.44/0.61 (((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))),
% 0.44/0.61 inference(and_elim,[status(thm)],[142])).
% 0.44/0.61 tff(144,plain,
% 0.44/0.61 ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23)),
% 0.44/0.61 inference(and_elim,[status(thm)],[143])).
% 0.44/0.61 tff(145,plain,
% 0.44/0.61 ((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[144, 138])).
% 0.44/0.61 tff(146,plain,
% 0.44/0.61 ((op2(e22, e23) = e20) | (op2(e22, e23) = e21) | (op2(e22, e23) = e22) | (op2(e22, e23) = e23)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[145, 134])).
% 0.44/0.61 tff(147,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[146, 133])).
% 0.44/0.61 tff(148,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[147, 127])).
% 0.44/0.61 tff(149,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[148, 127])).
% 0.44/0.61 tff(150,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[149, 126])).
% 0.44/0.61 tff(151,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h1(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[150, 120])).
% 0.44/0.61 tff(152,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[151, 119])).
% 0.44/0.61 tff(153,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[152, 107])).
% 0.44/0.61 tff(154,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[153, 104])).
% 0.44/0.61 tff(155,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[154, 104])).
% 0.44/0.61 tff(156,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[155, 104])).
% 0.44/0.61 tff(157,plain,
% 0.44/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[156, 104])).
% 0.44/0.61 tff(158,plain,
% 0.44/0.61 (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[157, 103, 93])).
% 0.44/0.61 tff(159,plain,
% 0.44/0.61 ((op2(h3(e12), h2(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), h2(e12)) = h3(e12))),
% 0.44/0.61 inference(monotonicity,[status(thm)],[158])).
% 0.44/0.61 tff(160,plain,
% 0.44/0.61 ((~(op2(h3(e12), h2(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), h2(e12)) = h3(e12)))),
% 0.44/0.61 inference(monotonicity,[status(thm)],[159])).
% 0.44/0.61 tff(161,plain,
% 0.44/0.61 ((~(op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), h2(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(162,plain,
% 0.44/0.61 ((~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(163,plain,
% 0.44/0.61 ((~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(164,plain,
% 0.44/0.61 ((~(op2(e22, e21) = op2(e22, e23))) <=> (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(165,plain,
% 0.44/0.61 ((~(op2(e22, e21) = op2(e22, e23))) <=> (~(op2(e22, e21) = op2(e22, e23)))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(166,plain,
% 0.44/0.61 (~(op2(e22, e21) = op2(e22, e23))),
% 0.44/0.61 inference(and_elim,[status(thm)],[38])).
% 0.44/0.61 tff(167,plain,
% 0.44/0.61 (~(op2(e22, e21) = op2(e22, e23))),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.44/0.62 tff(168,plain,
% 0.44/0.62 (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[167, 164])).
% 0.44/0.62 tff(169,plain,
% 0.44/0.62 (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[168, 163])).
% 0.44/0.62 tff(170,plain,
% 0.44/0.62 (~(op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[169, 162])).
% 0.44/0.62 tff(171,plain,
% 0.44/0.62 (~(op2(h3(e12), h2(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[170, 161])).
% 0.44/0.62 tff(172,plain,
% 0.44/0.62 (~(op2(h3(e12), h2(e12)) = h3(e12))),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[171, 160])).
% 0.44/0.62 tff(173,plain,
% 0.44/0.62 (((~(op2(h3(e12), h2(e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))),
% 0.44/0.62 inference(tautology,[status(thm)],[])).
% 0.44/0.62 tff(174,plain,
% 0.44/0.62 ((~(op2(h3(e12), h2(e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[173, 172])).
% 0.44/0.62 tff(175,plain,
% 0.44/0.62 ((((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h1(e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h3(e12)) = h2(e12)))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h4(e12)) = h2(e12))))) <=> ((~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h1(e12)) = h2(e12)))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (op2(h2(e12), h4(e12)) = h2(e12)))))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(176,plain,
% 0.44/0.62 ((((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))) | ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))) | ((op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))))) <=> (((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h1(e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h3(e12)) = h2(e12)))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h4(e12)) = h2(e12)))))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(177,plain,
% 0.44/0.62 ((((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) | ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))))) <=> (((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))) | ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))) | ((op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(178,plain,
% 0.44/0.62 ((((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))) <=> (((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) | ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(179,plain,
% 0.44/0.62 ((((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))) <=> (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(180,plain,
% 0.44/0.62 (((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 0.44/0.63 inference(rewrite,[status(thm)],[])).
% 0.44/0.63 tff(181,plain,
% 0.44/0.63 (((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) <=> ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 0.44/0.63 inference(rewrite,[status(thm)],[])).
% 0.44/0.63 tff(182,plain,
% 0.44/0.63 (((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 0.44/0.63 inference(rewrite,[status(thm)],[])).
% 0.44/0.63 tff(183,plain,
% 0.44/0.63 ((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))) <=> (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))))),
% 0.44/0.63 inference(monotonicity,[status(thm)],[182, 181, 180])).
% 0.44/0.63 tff(184,plain,
% 0.44/0.63 ((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))) <=> (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))))),
% 0.44/0.63 inference(transitivity,[status(thm)],[183, 179])).
% 0.44/0.63 tff(185,plain,
% 0.44/0.63 ((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))) <=> (((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))))),
% 0.44/0.63 inference(rewrite,[status(thm)],[])).
% 0.44/0.63 tff(186,plain,
% 0.44/0.63 (((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))) <=> (((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))))),
% 0.44/0.64 inference(rewrite,[status(thm)],[])).
% 0.44/0.64 tff(187,plain,
% 0.44/0.64 (((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e21, e21) = e21) & (~(op2(e21, e21) = e21)))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) <=> (((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))))),
% 0.44/0.64 inference(rewrite,[status(thm)],[])).
% 0.44/0.64 tff(188,plain,
% 0.44/0.64 ((((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e21, e21) = e21) & (~(op2(e21, e21) = e21)))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))) <=> ((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))))),
% 0.44/0.64 inference(monotonicity,[status(thm)],[187])).
% 0.44/0.64 tff(189,plain,
% 0.44/0.64 ((((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e21, e21) = e21) & (~(op2(e21, e21) = e21)))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))) <=> (((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))))),
% 0.44/0.64 inference(transitivity,[status(thm)],[188, 186])).
% 0.44/0.64 tff(190,axiom,((((((((op2(e20, e20) = e20) & (~(op2(e20, e20) = e20))) | ((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20)))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) & (((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e21, e21) = e21) & (~(op2(e21, e21) = e21)))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))))) & (((((op2(e20, e22) = e20) & (~(op2(e22, e20) = e22))) | ((op2(e21, e22) = e21) & (~(op2(e22, e21) = e22)))) | ((op2(e22, e22) = e22) & (~(op2(e22, e22) = e22)))) | ((op2(e23, e22) = e23) & (~(op2(e22, e23) = e22))))) & (((((op2(e20, e23) = e20) & (~(op2(e23, e20) = e23))) | ((op2(e21, e23) = e21) & (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & (~(op2(e23, e22) = e23)))) | ((op2(e23, e23) = e23) & (~(op2(e23, e23) = e23))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax11')).
% 0.44/0.64 tff(191,plain,
% 0.44/0.64 (((((((op2(e20, e20) = e20) & (~(op2(e20, e20) = e20))) | ((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20)))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) & (((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e21, e21) = e21) & (~(op2(e21, e21) = e21)))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))))) & (((((op2(e20, e22) = e20) & (~(op2(e22, e20) = e22))) | ((op2(e21, e22) = e21) & (~(op2(e22, e21) = e22)))) | ((op2(e22, e22) = e22) & (~(op2(e22, e22) = e22)))) | ((op2(e23, e22) = e23) & (~(op2(e22, e23) = e22))))),
% 0.44/0.64 inference(and_elim,[status(thm)],[190])).
% 0.44/0.64 tff(192,plain,
% 0.44/0.64 ((((((op2(e20, e20) = e20) & (~(op2(e20, e20) = e20))) | ((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20)))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) & (((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e21, e21) = e21) & (~(op2(e21, e21) = e21)))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21))))),
% 0.44/0.64 inference(and_elim,[status(thm)],[191])).
% 0.44/0.64 tff(193,plain,
% 0.44/0.64 (((((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e21, e21) = e21) & (~(op2(e21, e21) = e21)))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21)))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))),
% 0.44/0.64 inference(and_elim,[status(thm)],[192])).
% 0.44/0.64 tff(194,plain,
% 0.44/0.64 (((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))),
% 0.44/0.64 inference(modus_ponens,[status(thm)],[193, 189])).
% 0.51/0.64 tff(195,plain,
% 0.51/0.64 (((op2(e20, e21) = e20) & (~(op2(e21, e20) = e21))) | ((op2(e22, e21) = e22) & (~(op2(e21, e22) = e21))) | ((op2(e23, e21) = e23) & (~(op2(e21, e23) = e21)))),
% 0.51/0.64 inference(modus_ponens,[status(thm)],[194, 185])).
% 0.51/0.64 tff(196,plain,
% 0.51/0.64 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 0.51/0.64 inference(modus_ponens,[status(thm)],[195, 184])).
% 0.51/0.64 tff(197,plain,
% 0.51/0.64 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 0.51/0.64 inference(modus_ponens,[status(thm)],[196, 179])).
% 0.51/0.64 tff(198,plain,
% 0.51/0.64 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 0.51/0.64 inference(modus_ponens,[status(thm)],[197, 179])).
% 0.51/0.64 tff(199,plain,
% 0.51/0.64 (((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) | ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) | ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) & (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[198, 178])).
% 0.51/0.65 tff(200,plain,
% 0.51/0.65 (((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))) | ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))) | ((op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) & (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[199, 177])).
% 0.51/0.65 tff(201,plain,
% 0.51/0.65 (((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h1(e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h3(e12)) = h2(e12)))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h4(e12)) = h2(e12))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[200, 176])).
% 0.51/0.65 tff(202,plain,
% 0.51/0.65 ((~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h1(e12)) = h2(e12)))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (op2(h2(e12), h4(e12)) = h2(e12))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[201, 175])).
% 0.51/0.65 tff(203,plain,
% 0.51/0.65 ((~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h1(e12)) = h2(e12)))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (op2(h2(e12), h4(e12)) = h2(e12))))),
% 0.51/0.65 inference(unit_resolution,[status(thm)],[202, 174])).
% 0.51/0.65 tff(204,plain,
% 0.51/0.65 ($false),
% 0.51/0.65 inference(unit_resolution,[status(thm)],[203, 79, 21])).
% 0.51/0.65 tff(205,plain,(~(op2(h1(e12), h2(e12)) = h4(e12))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.65 tff(206,plain,
% 0.51/0.65 (($false | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(207,plain,
% 0.51/0.65 ((~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12))) <=> (~(h2(e12) = h4(e12)))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(208,plain,
% 0.51/0.65 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12))) <=> (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(209,plain,
% 0.51/0.65 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(210,plain,
% 0.51/0.65 ((~(e21 = e23)) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(211,plain,
% 0.51/0.65 ((~(e21 = e23)) <=> (~(e21 = e23))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(212,plain,
% 0.51/0.65 (~(e21 = e23)),
% 0.51/0.65 inference(and_elim,[status(thm)],[11])).
% 0.51/0.65 tff(213,plain,
% 0.51/0.65 (~(e21 = e23)),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.51/0.65 tff(214,plain,
% 0.51/0.65 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[213, 210])).
% 0.51/0.65 tff(215,plain,
% 0.51/0.65 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[214, 209])).
% 0.51/0.65 tff(216,plain,
% 0.51/0.65 (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[215, 208])).
% 0.51/0.65 tff(217,plain,
% 0.51/0.65 (~(h2(e12) = h4(e12))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[216, 207])).
% 0.51/0.65 tff(218,plain,
% 0.51/0.65 ((h2(e12) = h4(e12)) <=> $false),
% 0.51/0.65 inference(iff_false,[status(thm)],[217])).
% 0.51/0.65 tff(219,plain,
% 0.51/0.65 (((h2(e12) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ($false | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.51/0.65 inference(monotonicity,[status(thm)],[218])).
% 0.51/0.65 tff(220,plain,
% 0.51/0.65 (((h2(e12) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.51/0.66 inference(transitivity,[status(thm)],[219, 206])).
% 0.51/0.66 tff(221,plain,
% 0.51/0.66 (((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> ((h2(e12) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(222,plain,
% 0.51/0.66 (((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(223,plain,
% 0.51/0.66 (((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | $false | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(224,plain,
% 0.51/0.66 ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) <=> (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(225,plain,
% 0.51/0.66 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = h4(e12)))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(226,plain,
% 0.51/0.66 ((~(op2(e20, e22) = op2(e22, e22))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(227,plain,
% 0.51/0.66 ((~(op2(e20, e22) = op2(e22, e22))) <=> (~(op2(e20, e22) = op2(e22, e22)))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(228,plain,
% 0.51/0.66 (~(op2(e20, e22) = op2(e22, e22))),
% 0.51/0.66 inference(and_elim,[status(thm)],[65])).
% 0.51/0.66 tff(229,plain,
% 0.51/0.66 (~(op2(e20, e22) = op2(e22, e22))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.51/0.66 tff(230,plain,
% 0.51/0.66 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[229, 226])).
% 0.51/0.66 tff(231,plain,
% 0.51/0.66 (~(op2(h1(e12), h3(e12)) = h4(e12))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[230, 225])).
% 0.51/0.66 tff(232,plain,
% 0.51/0.66 ((op2(h1(e12), h3(e12)) = h4(e12)) <=> $false),
% 0.51/0.66 inference(iff_false,[status(thm)],[231])).
% 0.51/0.66 tff(233,plain,
% 0.51/0.66 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) <=> (op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(234,plain,
% 0.51/0.66 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | $false | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 0.51/0.66 inference(monotonicity,[status(thm)],[233, 232, 224])).
% 0.51/0.66 tff(235,plain,
% 0.51/0.66 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 0.51/0.66 inference(transitivity,[status(thm)],[234, 223])).
% 0.51/0.66 tff(236,plain,
% 0.51/0.66 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(237,plain,
% 0.51/0.66 (((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(238,plain,
% 0.51/0.66 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(239,plain,
% 0.51/0.66 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h4(e12))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(240,plain,
% 0.51/0.66 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(241,plain,
% 0.51/0.66 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (h1(op1(e12, e12)) = h4(e12))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(242,plain,
% 0.51/0.66 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)))),
% 0.51/0.66 inference(monotonicity,[status(thm)],[241, 240, 239, 238])).
% 0.51/0.66 tff(243,plain,
% 0.51/0.66 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 0.51/0.66 inference(transitivity,[status(thm)],[242, 237])).
% 0.51/0.66 tff(244,plain,
% 0.51/0.66 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(245,plain,
% 0.54/0.67 ((op2(e20, e23) = e23) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(246,plain,
% 0.54/0.67 ((op2(e20, e22) = e23) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(247,plain,
% 0.54/0.67 ((op2(e20, e21) = e23) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(248,plain,
% 0.54/0.67 ((op2(e20, e20) = e23) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(249,plain,
% 0.54/0.67 (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.54/0.67 inference(monotonicity,[status(thm)],[248, 247, 246, 245])).
% 0.54/0.67 tff(250,plain,
% 0.54/0.67 (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.54/0.67 inference(transitivity,[status(thm)],[249, 244])).
% 0.54/0.67 tff(251,plain,
% 0.54/0.67 (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(252,plain,
% 0.54/0.67 ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(253,plain,
% 0.54/0.67 ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23))),
% 0.54/0.67 inference(rewrite,[status(thm)],[])).
% 0.54/0.67 tff(254,plain,
% 0.54/0.67 (((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)) <=> (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))),
% 0.54/0.67 inference(monotonicity,[status(thm)],[253])).
% 0.54/0.67 tff(255,plain,
% 0.54/0.67 (((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23))),
% 0.54/0.67 inference(transitivity,[status(thm)],[254, 252])).
% 0.54/0.67 tff(256,axiom,(((((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e23, e20) = e23) | (op2(e23, e21) = e23)) | (op2(e23, e22) = e23)) | (op2(e23, e23) = e23))) & ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax4')).
% 0.54/0.68 tff(257,plain,
% 0.54/0.68 ((((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e23, e20) = e23) | (op2(e23, e21) = e23)) | (op2(e23, e22) = e23)) | (op2(e23, e23) = e23))),
% 0.54/0.69 inference(and_elim,[status(thm)],[256])).
% 0.54/0.69 tff(258,plain,
% 0.54/0.69 (((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22))),
% 0.54/0.70 inference(and_elim,[status(thm)],[257])).
% 0.54/0.70 tff(259,plain,
% 0.54/0.70 ((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))),
% 0.54/0.70 inference(and_elim,[status(thm)],[258])).
% 0.54/0.70 tff(260,plain,
% 0.54/0.70 (((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))),
% 0.54/0.70 inference(and_elim,[status(thm)],[259])).
% 0.54/0.70 tff(261,plain,
% 0.54/0.70 ((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))),
% 0.54/0.71 inference(and_elim,[status(thm)],[260])).
% 0.54/0.71 tff(262,plain,
% 0.54/0.71 (((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))),
% 0.59/0.72 inference(and_elim,[status(thm)],[261])).
% 0.59/0.72 tff(263,plain,
% 0.59/0.72 ((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))),
% 0.59/0.72 inference(and_elim,[status(thm)],[262])).
% 0.59/0.72 tff(264,plain,
% 0.59/0.72 (((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))),
% 0.59/0.73 inference(and_elim,[status(thm)],[263])).
% 0.59/0.73 tff(265,plain,
% 0.59/0.73 ((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))),
% 0.59/0.74 inference(and_elim,[status(thm)],[264])).
% 0.59/0.74 tff(266,plain,
% 0.59/0.74 (((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))),
% 0.59/0.74 inference(and_elim,[status(thm)],[265])).
% 0.59/0.74 tff(267,plain,
% 0.59/0.74 ((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))),
% 0.59/0.75 inference(and_elim,[status(thm)],[266])).
% 0.59/0.75 tff(268,plain,
% 0.59/0.75 (((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))),
% 0.59/0.75 inference(and_elim,[status(thm)],[267])).
% 0.59/0.75 tff(269,plain,
% 0.59/0.75 ((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))),
% 0.62/0.76 inference(and_elim,[status(thm)],[268])).
% 0.62/0.76 tff(270,plain,
% 0.62/0.76 (((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))),
% 0.62/0.76 inference(and_elim,[status(thm)],[269])).
% 0.62/0.76 tff(271,plain,
% 0.62/0.76 ((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))),
% 0.62/0.77 inference(and_elim,[status(thm)],[270])).
% 0.62/0.77 tff(272,plain,
% 0.62/0.77 (((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))),
% 0.62/0.77 inference(and_elim,[status(thm)],[271])).
% 0.62/0.77 tff(273,plain,
% 0.62/0.77 ((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))),
% 0.62/0.77 inference(and_elim,[status(thm)],[272])).
% 0.62/0.77 tff(274,plain,
% 0.62/0.77 (((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))),
% 0.62/0.78 inference(and_elim,[status(thm)],[273])).
% 0.62/0.78 tff(275,plain,
% 0.62/0.78 ((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))),
% 0.62/0.78 inference(and_elim,[status(thm)],[274])).
% 0.62/0.78 tff(276,plain,
% 0.62/0.78 (((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))),
% 0.62/0.78 inference(and_elim,[status(thm)],[275])).
% 0.62/0.78 tff(277,plain,
% 0.62/0.78 ((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))),
% 0.62/0.78 inference(and_elim,[status(thm)],[276])).
% 0.62/0.78 tff(278,plain,
% 0.62/0.78 (((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))),
% 0.62/0.78 inference(and_elim,[status(thm)],[277])).
% 0.62/0.78 tff(279,plain,
% 0.62/0.78 ((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))),
% 0.62/0.78 inference(and_elim,[status(thm)],[278])).
% 0.62/0.78 tff(280,plain,
% 0.62/0.78 (((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))),
% 0.62/0.78 inference(and_elim,[status(thm)],[279])).
% 0.62/0.79 tff(281,plain,
% 0.62/0.79 ((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))),
% 0.62/0.79 inference(and_elim,[status(thm)],[280])).
% 0.62/0.79 tff(282,plain,
% 0.62/0.79 ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)),
% 0.62/0.79 inference(and_elim,[status(thm)],[281])).
% 0.62/0.79 tff(283,plain,
% 0.62/0.79 ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[282, 255])).
% 0.62/0.79 tff(284,plain,
% 0.62/0.79 ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[283, 251])).
% 0.62/0.79 tff(285,plain,
% 0.62/0.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[284, 250])).
% 0.62/0.79 tff(286,plain,
% 0.62/0.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[285, 244])).
% 0.62/0.79 tff(287,plain,
% 0.62/0.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[286, 244])).
% 0.62/0.79 tff(288,plain,
% 0.62/0.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[287, 243])).
% 0.62/0.79 tff(289,plain,
% 0.62/0.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[288, 236])).
% 0.62/0.79 tff(290,plain,
% 0.62/0.79 ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[289, 235])).
% 0.62/0.79 tff(291,plain,
% 0.62/0.79 ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 0.62/0.79 inference(modus_ponens,[status(thm)],[290, 222])).
% 0.62/0.80 tff(292,plain,
% 0.62/0.80 ((h2(e12) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[291, 221])).
% 0.62/0.80 tff(293,plain,
% 0.62/0.80 ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[292, 220])).
% 0.62/0.80 tff(294,plain,
% 0.62/0.80 (h1(op1(e12, e12)) = h4(e12)),
% 0.62/0.80 inference(unit_resolution,[status(thm)],[293, 205])).
% 0.62/0.80 tff(295,plain,
% 0.62/0.80 ((h1(op1(e12, e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (h1(op1(e12, e12)) = op2(h1(e12), h1(e12)))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(296,plain,
% 0.62/0.80 ((h1(e13) = op2(e20, e20)) <=> (h1(op1(e12, e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(297,plain,
% 0.62/0.80 ((h1(e13) = op2(e20, e20)) <=> (h1(e13) = op2(e20, e20))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(298,axiom,((((h1(e12) = e20) & (h1(e10) = op2(op2(e20, e20), op2(e20, e20)))) & (h1(e11) = op2(op2(op2(e20, e20), op2(e20, e20)), op2(e20, e20)))) & (h1(e13) = op2(e20, e20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax14')).
% 0.62/0.80 tff(299,plain,
% 0.62/0.80 (h1(e13) = op2(e20, e20)),
% 0.62/0.80 inference(and_elim,[status(thm)],[298])).
% 0.62/0.80 tff(300,plain,
% 0.62/0.80 (h1(e13) = op2(e20, e20)),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[299, 297])).
% 0.62/0.80 tff(301,plain,
% 0.62/0.80 (h1(op1(e12, e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[300, 296])).
% 0.62/0.80 tff(302,plain,
% 0.62/0.80 (h1(op1(e12, e12)) = op2(h1(e12), h1(e12))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[301, 295])).
% 0.62/0.80 tff(303,plain,
% 0.62/0.80 (op2(h1(e12), h1(e12)) = h1(op1(e12, e12))),
% 0.62/0.80 inference(symmetry,[status(thm)],[302])).
% 0.62/0.80 tff(304,plain,
% 0.62/0.80 ((h1(e12) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 0.62/0.80 inference(commutativity,[status(thm)],[])).
% 0.62/0.80 tff(305,plain,
% 0.62/0.80 (op2(h1(e12), h1(e12)) = h4(e12)),
% 0.62/0.80 inference(transitivity,[status(thm)],[303, 294])).
% 0.62/0.80 tff(306,plain,
% 0.62/0.80 ((op2(h1(e12), h1(e12)) = h1(e12)) <=> (h4(e12) = h1(e12))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[305])).
% 0.62/0.80 tff(307,plain,
% 0.62/0.80 ((h4(e12) = h1(e12)) <=> (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.62/0.80 inference(symmetry,[status(thm)],[306])).
% 0.62/0.80 tff(308,plain,
% 0.62/0.80 ((~(h4(e12) = h1(e12))) <=> (~(op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[307])).
% 0.62/0.80 tff(309,plain,
% 0.62/0.80 (~(op2(h1(e12), h1(e12)) = h1(e12))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[18, 308])).
% 0.62/0.80 tff(310,plain,
% 0.62/0.80 ((h4(e12) = op2(h4(e12), h1(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 0.62/0.80 inference(commutativity,[status(thm)],[])).
% 0.62/0.80 tff(311,plain,
% 0.62/0.80 ((op2(h1(e12), h1(e12)) = op2(h4(e12), h1(e12))) <=> (h4(e12) = op2(h4(e12), h1(e12)))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[305])).
% 0.62/0.80 tff(312,plain,
% 0.62/0.80 ((op2(h1(e12), h1(e12)) = op2(h4(e12), h1(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 0.62/0.80 inference(transitivity,[status(thm)],[311, 310])).
% 0.62/0.80 tff(313,plain,
% 0.62/0.80 ((~(op2(h1(e12), h1(e12)) = op2(h4(e12), h1(e12)))) <=> (~(op2(h4(e12), h1(e12)) = h4(e12)))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[312])).
% 0.62/0.80 tff(314,plain,
% 0.62/0.80 ((~(h1(op1(e12, e12)) = op2(h4(e12), h1(e12)))) <=> (~(op2(h1(e12), h1(e12)) = op2(h4(e12), h1(e12))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(315,plain,
% 0.62/0.80 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> (~(h1(op1(e12, e12)) = op2(h4(e12), h1(e12))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(316,plain,
% 0.62/0.80 ((~(op2(e20, e20) = op2(e23, e20))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(317,plain,
% 0.62/0.80 ((~(op2(e20, e20) = op2(e23, e20))) <=> (~(op2(e20, e20) = op2(e23, e20)))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(318,plain,
% 0.62/0.80 ((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))),
% 0.62/0.80 inference(and_elim,[status(thm)],[70])).
% 0.62/0.80 tff(319,plain,
% 0.62/0.80 (((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))),
% 0.62/0.80 inference(and_elim,[status(thm)],[318])).
% 0.62/0.80 tff(320,plain,
% 0.62/0.80 ((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))),
% 0.62/0.80 inference(and_elim,[status(thm)],[319])).
% 0.62/0.80 tff(321,plain,
% 0.62/0.80 (((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))),
% 0.62/0.80 inference(and_elim,[status(thm)],[320])).
% 0.62/0.80 tff(322,plain,
% 0.62/0.80 ((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))),
% 0.62/0.80 inference(and_elim,[status(thm)],[321])).
% 0.62/0.80 tff(323,plain,
% 0.62/0.80 (((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))),
% 0.62/0.80 inference(and_elim,[status(thm)],[322])).
% 0.62/0.80 tff(324,plain,
% 0.62/0.80 (~(op2(e20, e20) = op2(e23, e20))),
% 0.62/0.80 inference(and_elim,[status(thm)],[323])).
% 0.62/0.80 tff(325,plain,
% 0.62/0.80 (~(op2(e20, e20) = op2(e23, e20))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[324, 317])).
% 0.62/0.80 tff(326,plain,
% 0.62/0.80 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[325, 316])).
% 0.62/0.80 tff(327,plain,
% 0.62/0.80 (~(h1(op1(e12, e12)) = op2(h4(e12), h1(e12)))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[326, 315])).
% 0.62/0.80 tff(328,plain,
% 0.62/0.80 (~(op2(h1(e12), h1(e12)) = op2(h4(e12), h1(e12)))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[327, 314])).
% 0.62/0.80 tff(329,plain,
% 0.62/0.80 (~(op2(h4(e12), h1(e12)) = h4(e12))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[328, 313])).
% 0.62/0.80 tff(330,plain,
% 0.62/0.80 ((op2(h3(e12), h1(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), h1(e12)) = h3(e12))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[158])).
% 0.62/0.80 tff(331,plain,
% 0.62/0.80 ((~(op2(h3(e12), h1(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), h1(e12)) = h3(e12)))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[330])).
% 0.62/0.80 tff(332,plain,
% 0.62/0.80 ((~(op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), h1(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(333,plain,
% 0.62/0.80 ((~(op2(e22, e20) = op2(e22, e23))) <=> (~(op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(334,plain,
% 0.62/0.80 ((~(op2(e22, e20) = op2(e22, e23))) <=> (~(op2(e22, e20) = op2(e22, e23)))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(335,plain,
% 0.62/0.80 (~(op2(e22, e20) = op2(e22, e23))),
% 0.62/0.80 inference(and_elim,[status(thm)],[40])).
% 0.62/0.80 tff(336,plain,
% 0.62/0.80 (~(op2(e22, e20) = op2(e22, e23))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.62/0.80 tff(337,plain,
% 0.62/0.80 (~(op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[336, 333])).
% 0.62/0.80 tff(338,plain,
% 0.62/0.80 (~(op2(h3(e12), h1(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[337, 332])).
% 0.62/0.80 tff(339,plain,
% 0.62/0.80 (~(op2(h3(e12), h1(e12)) = h3(e12))),
% 0.62/0.80 inference(modus_ponens,[status(thm)],[338, 331])).
% 0.62/0.81 tff(340,plain,
% 0.62/0.81 (((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) | (op2(h3(e12), h1(e12)) = h3(e12))),
% 0.62/0.81 inference(tautology,[status(thm)],[])).
% 0.62/0.81 tff(341,plain,
% 0.62/0.81 ((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))),
% 0.62/0.81 inference(unit_resolution,[status(thm)],[340, 339])).
% 0.62/0.81 tff(342,plain,
% 0.62/0.81 (((~((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12))))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12)))) | (~((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(343,plain,
% 0.62/0.81 (((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12)))) <=> (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(344,plain,
% 0.62/0.81 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) <=> (~((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(345,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))) <=> ((~((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12)))))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[344, 343])).
% 0.62/0.81 tff(346,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12)))) | (~((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))))),
% 0.62/0.81 inference(transitivity,[status(thm)],[345, 342])).
% 0.62/0.81 tff(347,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12)))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(348,plain,
% 0.62/0.81 (((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)))) <=> ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(349,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12)))))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[348])).
% 0.62/0.81 tff(350,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12)))))),
% 0.62/0.81 inference(transitivity,[status(thm)],[349, 347])).
% 0.62/0.81 tff(351,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(352,plain,
% 0.62/0.81 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)))) <=> ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(353,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)))))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[352])).
% 0.62/0.81 tff(354,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)))))),
% 0.62/0.81 inference(transitivity,[status(thm)],[353, 351])).
% 0.62/0.81 tff(355,plain,
% 0.62/0.81 ((((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(356,plain,
% 0.62/0.81 (((op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)))) | ((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(357,plain,
% 0.62/0.81 (((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12))))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(358,plain,
% 0.62/0.82 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(359,plain,
% 0.62/0.82 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(360,plain,
% 0.62/0.82 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)))) | ((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[359, 358, 357])).
% 0.62/0.82 tff(361,plain,
% 0.62/0.82 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))) <=> (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)))))),
% 0.62/0.82 inference(transitivity,[status(thm)],[360, 356])).
% 0.62/0.82 tff(362,plain,
% 0.62/0.82 ((((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(363,plain,
% 0.69/0.83 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & $true) <=> (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(364,plain,
% 0.69/0.83 ((~$false) <=> $true),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(365,plain,
% 0.69/0.83 ((~(op2(e20, e23) = op2(e23, e23))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(366,plain,
% 0.69/0.83 ((~(op2(e20, e23) = op2(e23, e23))) <=> (~(op2(e20, e23) = op2(e23, e23)))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(367,plain,
% 0.69/0.83 (~(op2(e20, e23) = op2(e23, e23))),
% 0.69/0.83 inference(and_elim,[status(thm)],[58])).
% 0.69/0.83 tff(368,plain,
% 0.69/0.83 (~(op2(e20, e23) = op2(e23, e23))),
% 0.69/0.83 inference(modus_ponens,[status(thm)],[367, 366])).
% 0.69/0.83 tff(369,plain,
% 0.69/0.83 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.69/0.83 inference(modus_ponens,[status(thm)],[368, 365])).
% 0.69/0.83 tff(370,plain,
% 0.69/0.83 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> $false),
% 0.69/0.83 inference(iff_false,[status(thm)],[369])).
% 0.69/0.83 tff(371,plain,
% 0.69/0.83 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~$false)),
% 0.69/0.83 inference(monotonicity,[status(thm)],[370])).
% 0.69/0.83 tff(372,plain,
% 0.69/0.83 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> $true),
% 0.69/0.83 inference(transitivity,[status(thm)],[371, 364])).
% 0.69/0.83 tff(373,plain,
% 0.69/0.83 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & $true)),
% 0.69/0.83 inference(monotonicity,[status(thm)],[372])).
% 0.69/0.83 tff(374,plain,
% 0.69/0.83 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 0.69/0.83 inference(transitivity,[status(thm)],[373, 363])).
% 0.69/0.83 tff(375,plain,
% 0.69/0.83 ((((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))) <=> (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 0.69/0.83 inference(monotonicity,[status(thm)],[374])).
% 0.69/0.83 tff(376,plain,
% 0.69/0.83 ((((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))))),
% 0.69/0.83 inference(transitivity,[status(thm)],[375, 362])).
% 0.69/0.83 tff(377,plain,
% 0.69/0.83 ((((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))) <=> (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(378,plain,
% 0.69/0.84 (((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20))) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(379,plain,
% 0.69/0.84 (((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) <=> ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(380,plain,
% 0.69/0.84 (((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(381,plain,
% 0.69/0.84 ((((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) <=> (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))))),
% 0.69/0.84 inference(monotonicity,[status(thm)],[380, 379, 378])).
% 0.69/0.84 tff(382,plain,
% 0.69/0.84 ((((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) <=> (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))))),
% 0.69/0.84 inference(transitivity,[status(thm)],[381, 377])).
% 0.69/0.84 tff(383,plain,
% 0.69/0.84 ((((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) <=> (((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20))))),
% 0.69/0.85 inference(rewrite,[status(thm)],[])).
% 0.69/0.85 tff(384,plain,
% 0.69/0.85 (((((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) <=> (((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20))))),
% 0.69/0.85 inference(rewrite,[status(thm)],[])).
% 0.69/0.85 tff(385,plain,
% 0.69/0.85 (((((op2(e20, e20) = e20) & (~(op2(e20, e20) = e20))) | ((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20)))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) <=> (((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))))),
% 0.69/0.85 inference(rewrite,[status(thm)],[])).
% 0.69/0.85 tff(386,plain,
% 0.69/0.85 ((((((op2(e20, e20) = e20) & (~(op2(e20, e20) = e20))) | ((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20)))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) <=> ((((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20))))),
% 0.69/0.85 inference(monotonicity,[status(thm)],[385])).
% 0.69/0.85 tff(387,plain,
% 0.69/0.85 ((((((op2(e20, e20) = e20) & (~(op2(e20, e20) = e20))) | ((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20)))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))) <=> (((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20))))),
% 0.69/0.85 inference(transitivity,[status(thm)],[386, 384])).
% 0.69/0.85 tff(388,plain,
% 0.69/0.85 (((((op2(e20, e20) = e20) & (~(op2(e20, e20) = e20))) | ((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20)))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20)))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))),
% 0.69/0.85 inference(and_elim,[status(thm)],[192])).
% 0.69/0.85 tff(389,plain,
% 0.69/0.85 (((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[388, 387])).
% 0.69/0.85 tff(390,plain,
% 0.69/0.85 (((op2(e21, e20) = e21) & (~(op2(e20, e21) = e20))) | ((op2(e22, e20) = e22) & (~(op2(e20, e22) = e20))) | ((op2(e23, e20) = e23) & (~(op2(e20, e23) = e20)))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[389, 383])).
% 0.69/0.85 tff(391,plain,
% 0.69/0.85 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[390, 382])).
% 0.69/0.85 tff(392,plain,
% 0.69/0.85 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[391, 377])).
% 0.69/0.85 tff(393,plain,
% 0.69/0.85 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[392, 376])).
% 0.69/0.85 tff(394,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[393, 361])).
% 0.69/0.85 tff(395,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) & (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[394, 355])).
% 0.69/0.85 tff(396,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[395, 354])).
% 0.69/0.85 tff(397,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[396, 351])).
% 0.69/0.85 tff(398,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[397, 350])).
% 0.69/0.85 tff(399,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[398, 347])).
% 0.69/0.85 tff(400,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[399, 347])).
% 0.69/0.85 tff(401,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[400, 347])).
% 0.69/0.85 tff(402,plain,
% 0.69/0.85 (((op2(h3(e12), h1(e12)) = h3(e12)) & (~(op2(h1(e12), h3(e12)) = h1(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12)) | ((op2(h2(e12), h1(e12)) = h2(e12)) & (~(op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[401, 347])).
% 0.69/0.86 tff(403,plain,
% 0.69/0.86 ((op2(h4(e12), h1(e12)) = h4(e12)) | (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12)))) | (~((~(op2(h3(e12), h1(e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[402, 346])).
% 0.69/0.86 tff(404,plain,
% 0.69/0.86 ((op2(h4(e12), h1(e12)) = h4(e12)) | (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12))))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[403, 341])).
% 0.69/0.86 tff(405,plain,
% 0.69/0.86 (~((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[404, 329])).
% 0.69/0.86 tff(406,plain,
% 0.69/0.86 (((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12))) | (~(op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(tautology,[status(thm)],[])).
% 0.69/0.86 tff(407,plain,
% 0.69/0.86 (~(op2(h1(e12), h2(e12)) = h1(e12))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[406, 405])).
% 0.69/0.86 tff(408,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(409,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | $false | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(410,plain,
% 0.69/0.86 ((~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12))) <=> (~(h2(e12) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(411,plain,
% 0.69/0.86 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12))) <=> (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(412,plain,
% 0.69/0.86 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(413,plain,
% 0.69/0.86 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[369, 412])).
% 0.69/0.86 tff(414,plain,
% 0.69/0.86 (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[413, 411])).
% 0.69/0.86 tff(415,plain,
% 0.69/0.86 (~(h2(e12) = h1(e12))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[414, 410])).
% 0.69/0.86 tff(416,plain,
% 0.69/0.86 ((h2(e12) = h1(e12)) <=> $false),
% 0.69/0.86 inference(iff_false,[status(thm)],[415])).
% 0.69/0.86 tff(417,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | $false | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[416])).
% 0.69/0.86 tff(418,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(transitivity,[status(thm)],[417, 409])).
% 0.69/0.86 tff(419,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(420,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(421,plain,
% 0.69/0.86 ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) <=> (h2(e12) = h1(e12))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(422,plain,
% 0.69/0.86 ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) <=> (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(423,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[422, 421])).
% 0.69/0.86 tff(424,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)))),
% 0.69/0.86 inference(transitivity,[status(thm)],[423, 420])).
% 0.69/0.86 tff(425,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(426,plain,
% 0.69/0.86 ((h1(op1(e12, e12)) = h1(e12)) <=> (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(427,plain,
% 0.69/0.86 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) <=> (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(428,plain,
% 0.69/0.86 ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) <=> (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(429,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[428, 427, 426])).
% 0.69/0.86 tff(430,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.69/0.86 inference(transitivity,[status(thm)],[429, 425])).
% 0.69/0.86 tff(431,plain,
% 0.69/0.86 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(432,plain,
% 0.69/0.86 (((h1(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12)))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(433,plain,
% 0.69/0.86 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(434,plain,
% 0.69/0.87 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(h1(e12), h3(e12)) = h1(e12))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(435,plain,
% 0.69/0.87 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(436,plain,
% 0.69/0.87 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (h1(op1(e12, e12)) = h1(e12))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(437,plain,
% 0.69/0.87 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[436, 435, 434, 433])).
% 0.69/0.87 tff(438,plain,
% 0.69/0.87 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12)))),
% 0.69/0.87 inference(transitivity,[status(thm)],[437, 432])).
% 0.69/0.87 tff(439,plain,
% 0.69/0.87 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(440,plain,
% 0.74/0.88 ((op2(e20, e23) = e20) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.88 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(441,plain,
% 0.74/0.88 ((op2(e20, e22) = e20) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.88 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(442,plain,
% 0.74/0.88 ((op2(e20, e21) = e20) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.88 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(443,plain,
% 0.74/0.88 ((op2(e20, e20) = e20) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.88 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(444,plain,
% 0.74/0.88 (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.74/0.88 inference(monotonicity,[status(thm)],[443, 442, 441, 440])).
% 0.74/0.88 tff(445,plain,
% 0.74/0.88 (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.74/0.88 inference(transitivity,[status(thm)],[444, 439])).
% 0.74/0.88 tff(446,plain,
% 0.74/0.88 (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20))),
% 0.74/0.88 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(447,plain,
% 0.74/0.88 ((((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20))),
% 0.74/0.88 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(448,plain,
% 0.74/0.88 ((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20))),
% 0.74/0.88 inference(rewrite,[status(thm)],[])).
% 0.74/0.88 tff(449,plain,
% 0.74/0.88 (((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) <=> (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20))),
% 0.74/0.88 inference(monotonicity,[status(thm)],[448])).
% 0.74/0.88 tff(450,plain,
% 0.74/0.88 (((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20))),
% 0.74/0.88 inference(transitivity,[status(thm)],[449, 447])).
% 0.74/0.88 tff(451,plain,
% 0.74/0.88 (((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))),
% 0.74/0.88 inference(and_elim,[status(thm)],[281])).
% 0.74/0.88 tff(452,plain,
% 0.74/0.88 ((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))),
% 0.74/0.88 inference(and_elim,[status(thm)],[451])).
% 0.74/0.88 tff(453,plain,
% 0.74/0.88 (((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))),
% 0.74/0.88 inference(and_elim,[status(thm)],[452])).
% 0.74/0.88 tff(454,plain,
% 0.74/0.88 ((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))),
% 0.74/0.88 inference(and_elim,[status(thm)],[453])).
% 0.74/0.88 tff(455,plain,
% 0.74/0.88 (((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))),
% 0.74/0.88 inference(and_elim,[status(thm)],[454])).
% 0.74/0.88 tff(456,plain,
% 0.74/0.88 ((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)),
% 0.74/0.88 inference(and_elim,[status(thm)],[455])).
% 0.74/0.88 tff(457,plain,
% 0.74/0.88 ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)),
% 0.74/0.88 inference(modus_ponens,[status(thm)],[456, 450])).
% 0.74/0.88 tff(458,plain,
% 0.74/0.88 ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)),
% 0.74/0.88 inference(modus_ponens,[status(thm)],[457, 446])).
% 0.74/0.88 tff(459,plain,
% 0.74/0.88 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.88 inference(modus_ponens,[status(thm)],[458, 445])).
% 0.74/0.88 tff(460,plain,
% 0.74/0.88 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.88 inference(modus_ponens,[status(thm)],[459, 439])).
% 0.74/0.88 tff(461,plain,
% 0.74/0.88 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[460, 439])).
% 0.74/0.89 tff(462,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[461, 438])).
% 0.74/0.89 tff(463,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[462, 431])).
% 0.74/0.89 tff(464,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[463, 430])).
% 0.74/0.89 tff(465,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[464, 425])).
% 0.74/0.89 tff(466,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[465, 424])).
% 0.74/0.89 tff(467,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[466, 419])).
% 0.74/0.89 tff(468,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[467, 418])).
% 0.74/0.89 tff(469,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[468, 408])).
% 0.74/0.89 tff(470,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[469, 408])).
% 0.74/0.89 tff(471,plain,
% 0.74/0.89 (op2(h1(e12), h3(e12)) = h1(e12)),
% 0.74/0.89 inference(unit_resolution,[status(thm)],[470, 407, 309])).
% 0.74/0.89 tff(472,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))) <=> (h1(e12) = op2(h2(e12), h3(e12)))),
% 0.74/0.89 inference(monotonicity,[status(thm)],[471])).
% 0.74/0.89 tff(473,plain,
% 0.74/0.89 ((op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 0.74/0.89 inference(transitivity,[status(thm)],[472, 304])).
% 0.74/0.89 tff(474,plain,
% 0.74/0.89 ((~(op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12)))) <=> (~(op2(h2(e12), h3(e12)) = h1(e12)))),
% 0.74/0.89 inference(monotonicity,[status(thm)],[473])).
% 0.74/0.89 tff(475,plain,
% 0.74/0.89 ((~(op2(h1(e12), h3(e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(476,plain,
% 0.74/0.89 ((~(op2(h1(e12), h3(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12))))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(477,plain,
% 0.74/0.89 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12))))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(478,plain,
% 0.74/0.89 ((~(op2(e20, e22) = op2(e21, e22))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12))))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(479,plain,
% 0.74/0.89 ((~(op2(e20, e22) = op2(e21, e22))) <=> (~(op2(e20, e22) = op2(e21, e22)))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(480,plain,
% 0.74/0.89 (~(op2(e20, e22) = op2(e21, e22))),
% 0.74/0.89 inference(and_elim,[status(thm)],[66])).
% 0.74/0.89 tff(481,plain,
% 0.74/0.89 (~(op2(e20, e22) = op2(e21, e22))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[480, 479])).
% 0.74/0.89 tff(482,plain,
% 0.74/0.89 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[481, 478])).
% 0.74/0.89 tff(483,plain,
% 0.74/0.89 (~(op2(h1(e12), h3(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[482, 477])).
% 0.74/0.89 tff(484,plain,
% 0.74/0.89 (~(op2(h1(e12), h3(e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[483, 476])).
% 0.74/0.89 tff(485,plain,
% 0.74/0.89 (~(op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12)))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[484, 475])).
% 0.74/0.89 tff(486,plain,
% 0.74/0.89 (~(op2(h2(e12), h3(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[485, 474])).
% 0.74/0.89 tff(487,plain,
% 0.74/0.89 (((~(op2(h2(e12), h1(e12)) = h2(e12))) | (op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h1(e12)) = h2(e12))),
% 0.74/0.89 inference(tautology,[status(thm)],[])).
% 0.74/0.89 tff(488,plain,
% 0.74/0.89 (op2(h2(e12), h1(e12)) = h2(e12)),
% 0.74/0.89 inference(unit_resolution,[status(thm)],[487, 405])).
% 0.74/0.89 tff(489,plain,
% 0.74/0.89 ((op2(h2(e12), h1(e12)) = h1(e12)) <=> (h2(e12) = h1(e12))),
% 0.74/0.89 inference(monotonicity,[status(thm)],[488])).
% 0.74/0.89 tff(490,plain,
% 0.74/0.89 ((h2(e12) = h1(e12)) <=> (op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.89 inference(symmetry,[status(thm)],[489])).
% 0.74/0.89 tff(491,plain,
% 0.74/0.89 ((~(h2(e12) = h1(e12))) <=> (~(op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.89 inference(monotonicity,[status(thm)],[490])).
% 0.74/0.89 tff(492,plain,
% 0.74/0.89 (~(op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[415, 491])).
% 0.74/0.89 tff(493,plain,
% 0.74/0.89 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(494,plain,
% 0.74/0.89 (((h2(op1(e12, e12)) = h1(e12)) | $false | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(495,plain,
% 0.74/0.89 ((~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12))) <=> (~(op2(h2(e12), h4(e12)) = h1(e12)))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(496,plain,
% 0.74/0.89 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12))) <=> (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(497,plain,
% 0.74/0.89 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(498,plain,
% 0.74/0.89 ((~(op2(e21, e23) = op2(e23, e23))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(499,plain,
% 0.74/0.89 ((~(op2(e21, e23) = op2(e23, e23))) <=> (~(op2(e21, e23) = op2(e23, e23)))),
% 0.74/0.89 inference(rewrite,[status(thm)],[])).
% 0.74/0.89 tff(500,plain,
% 0.74/0.89 (~(op2(e21, e23) = op2(e23, e23))),
% 0.74/0.89 inference(and_elim,[status(thm)],[56])).
% 0.74/0.89 tff(501,plain,
% 0.74/0.89 (~(op2(e21, e23) = op2(e23, e23))),
% 0.74/0.89 inference(modus_ponens,[status(thm)],[500, 499])).
% 0.74/0.90 tff(502,plain,
% 0.74/0.90 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.90 inference(modus_ponens,[status(thm)],[501, 498])).
% 0.74/0.90 tff(503,plain,
% 0.74/0.90 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12))),
% 0.74/0.90 inference(modus_ponens,[status(thm)],[502, 497])).
% 0.74/0.90 tff(504,plain,
% 0.74/0.90 (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12))),
% 0.74/0.90 inference(modus_ponens,[status(thm)],[503, 496])).
% 0.74/0.90 tff(505,plain,
% 0.74/0.90 (~(op2(h2(e12), h4(e12)) = h1(e12))),
% 0.74/0.90 inference(modus_ponens,[status(thm)],[504, 495])).
% 0.74/0.90 tff(506,plain,
% 0.74/0.90 ((op2(h2(e12), h4(e12)) = h1(e12)) <=> $false),
% 0.74/0.90 inference(iff_false,[status(thm)],[505])).
% 0.74/0.90 tff(507,plain,
% 0.74/0.90 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | $false | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(monotonicity,[status(thm)],[506])).
% 0.74/0.90 tff(508,plain,
% 0.74/0.90 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(transitivity,[status(thm)],[507, 494])).
% 0.74/0.90 tff(509,plain,
% 0.74/0.90 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(510,plain,
% 0.74/0.90 (((op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(511,plain,
% 0.74/0.90 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) <=> (op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(512,plain,
% 0.74/0.90 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) <=> (h2(op1(e12, e12)) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(513,plain,
% 0.74/0.90 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(514,plain,
% 0.74/0.90 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) <=> (op2(h2(e12), h4(e12)) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(515,plain,
% 0.74/0.90 (((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12))) <=> ((op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(monotonicity,[status(thm)],[514, 513, 512, 511])).
% 0.74/0.90 tff(516,plain,
% 0.74/0.90 (((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(transitivity,[status(thm)],[515, 510])).
% 0.74/0.90 tff(517,plain,
% 0.74/0.90 (((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12))) <=> ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(518,plain,
% 0.74/0.90 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(519,plain,
% 0.74/0.90 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(520,plain,
% 0.74/0.90 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(521,plain,
% 0.74/0.90 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(522,plain,
% 0.74/0.90 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12))) <=> ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(monotonicity,[status(thm)],[521, 520, 519, 518])).
% 0.74/0.90 tff(523,plain,
% 0.74/0.90 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12))) <=> ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(transitivity,[status(thm)],[522, 517])).
% 0.74/0.90 tff(524,plain,
% 0.74/0.90 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)))),
% 0.74/0.90 inference(rewrite,[status(thm)],[])).
% 0.74/0.90 tff(525,plain,
% 0.74/0.90 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(526,plain,
% 0.74/0.91 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(527,plain,
% 0.74/0.91 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(528,plain,
% 0.74/0.91 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(529,plain,
% 0.74/0.91 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(530,plain,
% 0.74/0.91 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)))),
% 0.74/0.91 inference(monotonicity,[status(thm)],[529, 528, 527, 526])).
% 0.74/0.91 tff(531,plain,
% 0.74/0.91 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)))),
% 0.74/0.91 inference(transitivity,[status(thm)],[530, 525])).
% 0.74/0.91 tff(532,plain,
% 0.74/0.91 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(533,plain,
% 0.74/0.91 ((op2(e21, e23) = e20) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(534,plain,
% 0.74/0.91 ((op2(e21, e22) = e20) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(535,plain,
% 0.74/0.91 ((op2(e21, e21) = e20) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(536,plain,
% 0.74/0.91 ((op2(e21, e20) = e20) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.91 inference(rewrite,[status(thm)],[])).
% 0.74/0.91 tff(537,plain,
% 0.74/0.91 (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.74/0.91 inference(monotonicity,[status(thm)],[536, 535, 534, 533])).
% 0.74/0.91 tff(538,plain,
% 0.74/0.91 (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 0.74/0.92 inference(transitivity,[status(thm)],[537, 532])).
% 0.74/0.92 tff(539,plain,
% 0.74/0.92 (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20))),
% 0.74/0.92 inference(rewrite,[status(thm)],[])).
% 0.74/0.92 tff(540,plain,
% 0.74/0.92 ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20))),
% 0.74/0.92 inference(rewrite,[status(thm)],[])).
% 0.74/0.92 tff(541,plain,
% 0.74/0.92 ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20))),
% 0.74/0.92 inference(rewrite,[status(thm)],[])).
% 0.74/0.92 tff(542,plain,
% 0.74/0.92 (((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)) <=> (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))),
% 0.74/0.92 inference(monotonicity,[status(thm)],[541])).
% 0.74/0.92 tff(543,plain,
% 0.74/0.92 (((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20))),
% 0.74/0.92 inference(transitivity,[status(thm)],[542, 540])).
% 0.74/0.92 tff(544,plain,
% 0.74/0.92 ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)),
% 0.74/0.92 inference(and_elim,[status(thm)],[279])).
% 0.74/0.92 tff(545,plain,
% 0.74/0.92 ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)),
% 0.74/0.92 inference(modus_ponens,[status(thm)],[544, 543])).
% 0.74/0.92 tff(546,plain,
% 0.74/0.92 ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)),
% 0.74/0.92 inference(modus_ponens,[status(thm)],[545, 539])).
% 0.74/0.92 tff(547,plain,
% 0.74/0.92 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.92 inference(modus_ponens,[status(thm)],[546, 538])).
% 0.74/0.92 tff(548,plain,
% 0.74/0.92 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.92 inference(modus_ponens,[status(thm)],[547, 532])).
% 0.74/0.92 tff(549,plain,
% 0.74/0.93 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[548, 532])).
% 0.74/0.93 tff(550,plain,
% 0.74/0.93 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[549, 531])).
% 0.74/0.93 tff(551,plain,
% 0.74/0.93 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[550, 524])).
% 0.74/0.93 tff(552,plain,
% 0.74/0.93 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[551, 523])).
% 0.74/0.93 tff(553,plain,
% 0.74/0.93 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[552, 517])).
% 0.74/0.93 tff(554,plain,
% 0.74/0.93 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[553, 516])).
% 0.74/0.93 tff(555,plain,
% 0.74/0.93 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[554, 509])).
% 0.74/0.93 tff(556,plain,
% 0.74/0.93 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[555, 508])).
% 0.74/0.93 tff(557,plain,
% 0.74/0.93 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[556, 493])).
% 0.74/0.93 tff(558,plain,
% 0.74/0.93 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[557, 493])).
% 0.74/0.93 tff(559,plain,
% 0.74/0.93 (h2(op1(e12, e12)) = h1(e12)),
% 0.74/0.93 inference(unit_resolution,[status(thm)],[558, 492, 486])).
% 0.74/0.93 tff(560,plain,
% 0.74/0.93 (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = op2(h1(e12), h1(e12))),
% 0.74/0.93 inference(monotonicity,[status(thm)],[559, 559])).
% 0.74/0.93 tff(561,plain,
% 0.74/0.93 (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)),
% 0.74/0.93 inference(transitivity,[status(thm)],[560, 303, 294])).
% 0.74/0.93 tff(562,plain,
% 0.74/0.93 (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) = op2(h4(e12), h4(e12))),
% 0.74/0.93 inference(monotonicity,[status(thm)],[561, 561])).
% 0.74/0.93 tff(563,plain,
% 0.74/0.93 (op2(h4(e12), h4(e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 0.74/0.93 inference(symmetry,[status(thm)],[562])).
% 0.74/0.93 tff(564,plain,
% 0.74/0.93 ((h1(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (h1(e12) = op2(h4(e12), h4(e12)))),
% 0.74/0.93 inference(rewrite,[status(thm)],[])).
% 0.74/0.93 tff(565,plain,
% 0.74/0.93 ((h1(e12) = e20) <=> (h1(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 0.74/0.93 inference(rewrite,[status(thm)],[])).
% 0.74/0.93 tff(566,plain,
% 0.74/0.93 ((h1(e12) = e20) <=> (h1(e12) = e20)),
% 0.74/0.93 inference(rewrite,[status(thm)],[])).
% 0.74/0.93 tff(567,plain,
% 0.74/0.93 (((h1(e12) = e20) & (h1(e10) = op2(op2(e20, e20), op2(e20, e20)))) & (h1(e11) = op2(op2(op2(e20, e20), op2(e20, e20)), op2(e20, e20)))),
% 0.74/0.93 inference(and_elim,[status(thm)],[298])).
% 0.74/0.93 tff(568,plain,
% 0.74/0.93 ((h1(e12) = e20) & (h1(e10) = op2(op2(e20, e20), op2(e20, e20)))),
% 0.74/0.93 inference(and_elim,[status(thm)],[567])).
% 0.74/0.93 tff(569,plain,
% 0.74/0.93 (h1(e12) = e20),
% 0.74/0.93 inference(and_elim,[status(thm)],[568])).
% 0.74/0.93 tff(570,plain,
% 0.74/0.93 (h1(e12) = e20),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[569, 566])).
% 0.74/0.93 tff(571,plain,
% 0.74/0.93 (h1(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[570, 565])).
% 0.74/0.93 tff(572,plain,
% 0.74/0.93 (h1(e12) = op2(h4(e12), h4(e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[571, 564])).
% 0.74/0.93 tff(573,assumption,(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)), introduced(assumption)).
% 0.74/0.93 tff(574,plain,
% 0.74/0.93 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.74/0.93 inference(monotonicity,[status(thm)],[573])).
% 0.74/0.93 tff(575,plain,
% 0.74/0.93 ((op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.74/0.93 inference(symmetry,[status(thm)],[574])).
% 0.74/0.93 tff(576,plain,
% 0.74/0.93 ((~(op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 0.74/0.93 inference(monotonicity,[status(thm)],[575])).
% 0.74/0.93 tff(577,plain,
% 0.74/0.93 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) <=> (op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.74/0.93 inference(commutativity,[status(thm)],[])).
% 0.74/0.93 tff(578,plain,
% 0.74/0.93 ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))) <=> (~(op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 0.74/0.93 inference(monotonicity,[status(thm)],[577])).
% 0.74/0.93 tff(579,plain,
% 0.74/0.93 ((~(e10 = e13)) <=> (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 0.74/0.93 inference(rewrite,[status(thm)],[])).
% 0.74/0.93 tff(580,plain,
% 0.74/0.93 ((~(e10 = e13)) <=> (~(e10 = e13))),
% 0.74/0.93 inference(rewrite,[status(thm)],[])).
% 0.74/0.93 tff(581,axiom,((((((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))) & (~(e11 = e12))) & (~(e11 = e13))) & (~(e12 = e13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax7')).
% 0.74/0.93 tff(582,plain,
% 0.74/0.93 (((((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))) & (~(e11 = e12))) & (~(e11 = e13))),
% 0.74/0.93 inference(and_elim,[status(thm)],[581])).
% 0.74/0.93 tff(583,plain,
% 0.74/0.93 ((((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))) & (~(e11 = e12))),
% 0.74/0.93 inference(and_elim,[status(thm)],[582])).
% 0.74/0.93 tff(584,plain,
% 0.74/0.93 (((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))),
% 0.74/0.93 inference(and_elim,[status(thm)],[583])).
% 0.74/0.93 tff(585,plain,
% 0.74/0.93 (~(e10 = e13)),
% 0.74/0.93 inference(and_elim,[status(thm)],[584])).
% 0.74/0.93 tff(586,plain,
% 0.74/0.93 (~(e10 = e13)),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[585, 580])).
% 0.74/0.93 tff(587,plain,
% 0.74/0.93 (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[586, 579])).
% 0.74/0.93 tff(588,plain,
% 0.74/0.93 (~(op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[587, 578])).
% 0.74/0.93 tff(589,plain,
% 0.74/0.93 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.74/0.93 inference(modus_ponens,[status(thm)],[588, 576])).
% 0.74/0.93 tff(590,plain,
% 0.74/0.94 (((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.74/0.94 inference(tautology,[status(thm)],[])).
% 0.74/0.94 tff(591,plain,
% 0.74/0.94 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 0.74/0.94 inference(unit_resolution,[status(thm)],[590, 589])).
% 0.74/0.94 tff(592,plain,
% 0.74/0.94 ((op1(e12, e12) = op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 0.74/0.94 inference(commutativity,[status(thm)],[])).
% 0.74/0.94 tff(593,plain,
% 0.74/0.94 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> (op1(e12, e12) = op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 0.74/0.94 inference(monotonicity,[status(thm)],[573])).
% 0.74/0.94 tff(594,plain,
% 0.74/0.94 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 0.74/0.94 inference(transitivity,[status(thm)],[593, 592])).
% 0.74/0.94 tff(595,plain,
% 0.74/0.94 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) <=> (~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 0.74/0.94 inference(monotonicity,[status(thm)],[594])).
% 0.74/0.94 tff(596,plain,
% 0.74/0.94 ((~(op1(e10, e11) = op1(e13, e11))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.74/0.94 inference(rewrite,[status(thm)],[])).
% 0.74/0.94 tff(597,plain,
% 0.74/0.94 ((~(op1(e10, e11) = op1(e13, e11))) <=> (~(op1(e10, e11) = op1(e13, e11)))),
% 0.74/0.94 inference(rewrite,[status(thm)],[])).
% 0.74/0.94 tff(598,axiom,((((((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))) & (~(op1(e13, e11) = op1(e13, e12)))) & (~(op1(e13, e11) = op1(e13, e13)))) & (~(op1(e13, e12) = op1(e13, e13)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax5')).
% 0.81/0.94 tff(599,plain,
% 0.81/0.94 (((((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))) & (~(op1(e13, e11) = op1(e13, e12)))) & (~(op1(e13, e11) = op1(e13, e13)))),
% 0.81/0.94 inference(and_elim,[status(thm)],[598])).
% 0.81/0.94 tff(600,plain,
% 0.81/0.94 ((((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))) & (~(op1(e13, e11) = op1(e13, e12)))),
% 0.81/0.95 inference(and_elim,[status(thm)],[599])).
% 0.81/0.95 tff(601,plain,
% 0.81/0.95 (((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))),
% 0.81/0.95 inference(and_elim,[status(thm)],[600])).
% 0.81/0.95 tff(602,plain,
% 0.81/0.95 ((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))),
% 0.81/0.95 inference(and_elim,[status(thm)],[601])).
% 0.81/0.95 tff(603,plain,
% 0.81/0.95 (((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))),
% 0.81/0.96 inference(and_elim,[status(thm)],[602])).
% 0.81/0.96 tff(604,plain,
% 0.81/0.96 ((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))),
% 0.81/0.96 inference(and_elim,[status(thm)],[603])).
% 0.81/0.96 tff(605,plain,
% 0.81/0.96 (((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))),
% 0.83/0.97 inference(and_elim,[status(thm)],[604])).
% 0.83/0.97 tff(606,plain,
% 0.83/0.97 ((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))),
% 0.83/0.97 inference(and_elim,[status(thm)],[605])).
% 0.83/0.97 tff(607,plain,
% 0.83/0.97 (((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))),
% 0.83/0.97 inference(and_elim,[status(thm)],[606])).
% 0.83/0.97 tff(608,plain,
% 0.83/0.97 ((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))),
% 0.83/0.97 inference(and_elim,[status(thm)],[607])).
% 0.83/0.97 tff(609,plain,
% 0.83/0.97 (((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))),
% 0.83/0.97 inference(and_elim,[status(thm)],[608])).
% 0.83/0.97 tff(610,plain,
% 0.83/0.97 ((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))),
% 0.83/0.98 inference(and_elim,[status(thm)],[609])).
% 0.83/0.98 tff(611,plain,
% 0.83/0.98 (((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))),
% 0.83/0.98 inference(and_elim,[status(thm)],[610])).
% 0.83/0.98 tff(612,plain,
% 0.83/0.98 ((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))),
% 0.83/0.98 inference(and_elim,[status(thm)],[611])).
% 0.83/0.98 tff(613,plain,
% 0.83/0.98 (((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))),
% 0.83/0.99 inference(and_elim,[status(thm)],[612])).
% 0.83/0.99 tff(614,plain,
% 0.83/0.99 ((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))),
% 0.83/0.99 inference(and_elim,[status(thm)],[613])).
% 0.83/0.99 tff(615,plain,
% 0.83/0.99 (((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))),
% 0.83/0.99 inference(and_elim,[status(thm)],[614])).
% 0.83/0.99 tff(616,plain,
% 0.83/0.99 ((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))),
% 0.83/0.99 inference(and_elim,[status(thm)],[615])).
% 0.83/0.99 tff(617,plain,
% 0.83/0.99 (((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))),
% 0.83/1.00 inference(and_elim,[status(thm)],[616])).
% 0.83/1.00 tff(618,plain,
% 0.83/1.00 ((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))),
% 0.83/1.00 inference(and_elim,[status(thm)],[617])).
% 0.83/1.00 tff(619,plain,
% 0.83/1.00 (((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))),
% 0.83/1.00 inference(and_elim,[status(thm)],[618])).
% 0.83/1.00 tff(620,plain,
% 0.83/1.00 ((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))),
% 0.83/1.00 inference(and_elim,[status(thm)],[619])).
% 0.83/1.00 tff(621,plain,
% 0.83/1.00 (((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))),
% 0.83/1.00 inference(and_elim,[status(thm)],[620])).
% 0.83/1.00 tff(622,plain,
% 0.83/1.00 ((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))),
% 0.83/1.00 inference(and_elim,[status(thm)],[621])).
% 0.83/1.00 tff(623,plain,
% 0.83/1.00 (((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))),
% 0.83/1.00 inference(and_elim,[status(thm)],[622])).
% 0.83/1.00 tff(624,plain,
% 0.83/1.00 ((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))),
% 0.83/1.01 inference(and_elim,[status(thm)],[623])).
% 0.83/1.01 tff(625,plain,
% 0.83/1.01 (((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))),
% 0.83/1.01 inference(and_elim,[status(thm)],[624])).
% 0.83/1.01 tff(626,plain,
% 0.83/1.01 ((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))),
% 0.83/1.01 inference(and_elim,[status(thm)],[625])).
% 0.83/1.01 tff(627,plain,
% 0.83/1.01 (((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))),
% 0.83/1.01 inference(and_elim,[status(thm)],[626])).
% 0.83/1.01 tff(628,plain,
% 0.83/1.01 ((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))),
% 0.83/1.01 inference(and_elim,[status(thm)],[627])).
% 0.83/1.01 tff(629,plain,
% 0.83/1.01 (((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[628])).
% 0.83/1.02 tff(630,plain,
% 0.83/1.02 ((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[629])).
% 0.83/1.02 tff(631,plain,
% 0.83/1.02 (((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[630])).
% 0.83/1.02 tff(632,plain,
% 0.83/1.02 ((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[631])).
% 0.83/1.02 tff(633,plain,
% 0.83/1.02 (((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[632])).
% 0.83/1.02 tff(634,plain,
% 0.83/1.02 ((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[633])).
% 0.83/1.02 tff(635,plain,
% 0.83/1.02 (((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[634])).
% 0.83/1.02 tff(636,plain,
% 0.83/1.02 ((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))),
% 0.83/1.02 inference(and_elim,[status(thm)],[635])).
% 0.83/1.02 tff(637,plain,
% 0.83/1.02 (((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))),
% 0.89/1.02 inference(and_elim,[status(thm)],[636])).
% 0.89/1.02 tff(638,plain,
% 0.89/1.02 (~(op1(e10, e11) = op1(e13, e11))),
% 0.89/1.02 inference(and_elim,[status(thm)],[637])).
% 0.89/1.02 tff(639,plain,
% 0.89/1.02 (~(op1(e10, e11) = op1(e13, e11))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[638, 597])).
% 0.89/1.02 tff(640,plain,
% 0.89/1.02 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[639, 596])).
% 0.89/1.02 tff(641,plain,
% 0.89/1.02 (~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[640, 595])).
% 0.89/1.02 tff(642,plain,
% 0.89/1.02 (((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 0.89/1.02 inference(tautology,[status(thm)],[])).
% 0.89/1.02 tff(643,plain,
% 0.89/1.02 ((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 0.89/1.02 inference(unit_resolution,[status(thm)],[642, 641])).
% 0.89/1.02 tff(644,plain,
% 0.89/1.02 ((op1(e12, e12) = op1(e12, op1(e12, e12))) <=> (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.02 inference(commutativity,[status(thm)],[])).
% 0.89/1.02 tff(645,plain,
% 0.89/1.02 ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) <=> (~(op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.02 inference(monotonicity,[status(thm)],[644])).
% 0.89/1.02 tff(646,plain,
% 0.89/1.02 ((~(op1(e12, e12) = op1(e12, e13))) <=> (~(op1(e12, e12) = op1(e12, op1(e12, e12))))),
% 0.89/1.02 inference(rewrite,[status(thm)],[])).
% 0.89/1.02 tff(647,plain,
% 0.89/1.02 ((~(op1(e12, e12) = op1(e12, e13))) <=> (~(op1(e12, e12) = op1(e12, e13)))),
% 0.89/1.02 inference(rewrite,[status(thm)],[])).
% 0.89/1.02 tff(648,plain,
% 0.89/1.02 (~(op1(e12, e12) = op1(e12, e13))),
% 0.89/1.02 inference(and_elim,[status(thm)],[604])).
% 0.89/1.02 tff(649,plain,
% 0.89/1.02 (~(op1(e12, e12) = op1(e12, e13))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[648, 647])).
% 0.89/1.02 tff(650,plain,
% 0.89/1.02 (~(op1(e12, e12) = op1(e12, op1(e12, e12)))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[649, 646])).
% 0.89/1.02 tff(651,plain,
% 0.89/1.02 (~(op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[650, 645])).
% 0.89/1.02 tff(652,plain,
% 0.89/1.02 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) <=> (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 0.89/1.02 inference(commutativity,[status(thm)],[])).
% 0.89/1.02 tff(653,plain,
% 0.89/1.02 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> (~(op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 0.89/1.02 inference(monotonicity,[status(thm)],[652])).
% 0.89/1.02 tff(654,plain,
% 0.89/1.02 ((~(op1(e10, e13) = op1(e12, e13))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 0.89/1.02 inference(rewrite,[status(thm)],[])).
% 0.89/1.02 tff(655,plain,
% 0.89/1.02 ((~(op1(e10, e13) = op1(e12, e13))) <=> (~(op1(e10, e13) = op1(e12, e13)))),
% 0.89/1.02 inference(rewrite,[status(thm)],[])).
% 0.89/1.02 tff(656,plain,
% 0.89/1.02 (~(op1(e10, e13) = op1(e12, e13))),
% 0.89/1.02 inference(and_elim,[status(thm)],[626])).
% 0.89/1.02 tff(657,plain,
% 0.89/1.02 (~(op1(e10, e13) = op1(e12, e13))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[656, 655])).
% 0.89/1.02 tff(658,plain,
% 0.89/1.02 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[657, 654])).
% 0.89/1.02 tff(659,plain,
% 0.89/1.02 (~(op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 0.89/1.02 inference(modus_ponens,[status(thm)],[658, 653])).
% 0.89/1.02 tff(660,plain,
% 0.89/1.03 (((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))) <=> ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(661,plain,
% 0.89/1.03 (($false | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))) <=> ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(662,plain,
% 0.89/1.03 ((~(op1(e12, e13) = op1(e13, e13))) <=> (~(op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(663,plain,
% 0.89/1.03 ((~(op1(e12, e13) = op1(e13, e13))) <=> (~(op1(e12, e13) = op1(e13, e13)))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(664,plain,
% 0.89/1.03 (~(op1(e12, e13) = op1(e13, e13))),
% 0.89/1.03 inference(and_elim,[status(thm)],[622])).
% 0.89/1.03 tff(665,plain,
% 0.89/1.03 (~(op1(e12, e13) = op1(e13, e13))),
% 0.89/1.03 inference(modus_ponens,[status(thm)],[664, 663])).
% 0.89/1.03 tff(666,plain,
% 0.89/1.03 (~(op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.89/1.03 inference(modus_ponens,[status(thm)],[665, 662])).
% 0.89/1.03 tff(667,plain,
% 0.89/1.03 ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) <=> $false),
% 0.89/1.03 inference(iff_false,[status(thm)],[666])).
% 0.89/1.03 tff(668,plain,
% 0.89/1.03 (((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))) <=> ($false | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.03 inference(monotonicity,[status(thm)],[667])).
% 0.89/1.03 tff(669,plain,
% 0.89/1.03 (((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))) <=> ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.03 inference(transitivity,[status(thm)],[668, 661])).
% 0.89/1.03 tff(670,plain,
% 0.89/1.03 (((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))) <=> ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(671,plain,
% 0.89/1.03 ((op1(e12, e13) = e13) <=> (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(672,plain,
% 0.89/1.03 ((op1(e12, e13) = e12) <=> (op1(e12, op1(e12, e12)) = e12)),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(673,plain,
% 0.89/1.03 ((op1(e12, e13) = e11) <=> (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(674,plain,
% 0.89/1.03 ((op1(e12, e13) = e10) <=> (op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 0.89/1.03 inference(rewrite,[status(thm)],[])).
% 0.89/1.03 tff(675,plain,
% 0.89/1.03 (((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13)) <=> ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.03 inference(monotonicity,[status(thm)],[674, 673, 672, 671])).
% 0.89/1.03 tff(676,plain,
% 0.89/1.03 (((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13)) <=> ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 0.89/1.04 inference(transitivity,[status(thm)],[675, 670])).
% 0.89/1.04 tff(677,plain,
% 0.89/1.04 (((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13)) <=> ((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13))),
% 0.89/1.04 inference(rewrite,[status(thm)],[])).
% 0.89/1.04 tff(678,plain,
% 0.89/1.04 ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13)) <=> ((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13))),
% 0.89/1.04 inference(rewrite,[status(thm)],[])).
% 0.89/1.04 tff(679,plain,
% 0.89/1.04 ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) <=> ((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12))),
% 0.89/1.04 inference(rewrite,[status(thm)],[])).
% 0.89/1.04 tff(680,plain,
% 0.89/1.04 (((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13)) <=> (((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))),
% 0.89/1.04 inference(monotonicity,[status(thm)],[679])).
% 0.89/1.04 tff(681,plain,
% 0.89/1.04 (((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13)) <=> ((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13))),
% 0.89/1.04 inference(transitivity,[status(thm)],[680, 678])).
% 0.89/1.04 tff(682,axiom,(((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))) & ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13))) & ((((op1(e13, e12) = e10) | (op1(e13, e12) = e11)) | (op1(e13, e12) = e12)) | (op1(e13, e12) = e13))) & ((((op1(e13, e13) = e10) | (op1(e13, e13) = e11)) | (op1(e13, e13) = e12)) | (op1(e13, e13) = e13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax1')).
% 0.89/1.04 tff(683,plain,
% 0.89/1.04 ((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))) & ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13))) & ((((op1(e13, e12) = e10) | (op1(e13, e12) = e11)) | (op1(e13, e12) = e12)) | (op1(e13, e12) = e13))),
% 0.89/1.05 inference(and_elim,[status(thm)],[682])).
% 0.89/1.05 tff(684,plain,
% 0.89/1.05 (((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))) & ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13))),
% 0.89/1.05 inference(and_elim,[status(thm)],[683])).
% 0.89/1.05 tff(685,plain,
% 0.89/1.05 ((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))),
% 0.89/1.05 inference(and_elim,[status(thm)],[684])).
% 0.89/1.05 tff(686,plain,
% 0.89/1.05 (((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))),
% 0.89/1.05 inference(and_elim,[status(thm)],[685])).
% 0.89/1.05 tff(687,plain,
% 0.89/1.05 ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13)),
% 0.89/1.05 inference(and_elim,[status(thm)],[686])).
% 0.89/1.05 tff(688,plain,
% 0.89/1.05 ((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13)),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[687, 681])).
% 0.89/1.05 tff(689,plain,
% 0.89/1.05 ((op1(e12, e13) = e10) | (op1(e12, e13) = e11) | (op1(e12, e13) = e12) | (op1(e12, e13) = e13)),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[688, 677])).
% 0.89/1.05 tff(690,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[689, 676])).
% 0.89/1.05 tff(691,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[690, 670])).
% 0.89/1.05 tff(692,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[691, 670])).
% 0.89/1.05 tff(693,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[692, 669])).
% 0.89/1.05 tff(694,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[693, 660])).
% 0.89/1.05 tff(695,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[694, 660])).
% 0.89/1.05 tff(696,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[695, 660])).
% 0.89/1.05 tff(697,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[696, 660])).
% 0.89/1.05 tff(698,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[697, 660])).
% 0.89/1.05 tff(699,plain,
% 0.89/1.05 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.05 inference(modus_ponens,[status(thm)],[698, 660])).
% 0.89/1.06 tff(700,plain,
% 0.89/1.06 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.06 inference(modus_ponens,[status(thm)],[699, 660])).
% 0.89/1.06 tff(701,plain,
% 0.89/1.06 ((op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 0.89/1.06 inference(modus_ponens,[status(thm)],[700, 660])).
% 0.89/1.06 tff(702,plain,
% 0.89/1.06 (op1(e12, op1(e12, e12)) = e12),
% 0.89/1.06 inference(unit_resolution,[status(thm)],[701, 659, 651])).
% 0.89/1.06 tff(703,plain,
% 0.89/1.06 ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, op1(e12, e12))) <=> (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)),
% 0.89/1.06 inference(monotonicity,[status(thm)],[702])).
% 0.89/1.06 tff(704,plain,
% 0.89/1.06 ((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> (~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12))),
% 0.89/1.06 inference(monotonicity,[status(thm)],[703])).
% 0.89/1.06 tff(705,plain,
% 0.89/1.06 ((~(op1(e12, e11) = op1(e12, e13))) <=> (~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 0.89/1.06 inference(rewrite,[status(thm)],[])).
% 0.89/1.06 tff(706,plain,
% 0.89/1.06 ((~(op1(e12, e11) = op1(e12, e13))) <=> (~(op1(e12, e11) = op1(e12, e13)))),
% 0.89/1.06 inference(rewrite,[status(thm)],[])).
% 0.89/1.06 tff(707,plain,
% 0.89/1.06 (~(op1(e12, e11) = op1(e12, e13))),
% 0.89/1.06 inference(and_elim,[status(thm)],[605])).
% 0.89/1.06 tff(708,plain,
% 0.89/1.06 (~(op1(e12, e11) = op1(e12, e13))),
% 0.89/1.06 inference(modus_ponens,[status(thm)],[707, 706])).
% 0.89/1.06 tff(709,plain,
% 0.89/1.06 (~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 0.89/1.06 inference(modus_ponens,[status(thm)],[708, 705])).
% 0.89/1.06 tff(710,plain,
% 0.89/1.06 (~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)),
% 0.89/1.06 inference(modus_ponens,[status(thm)],[709, 704])).
% 0.89/1.06 tff(711,plain,
% 0.89/1.06 (((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)),
% 0.89/1.06 inference(tautology,[status(thm)],[])).
% 0.89/1.06 tff(712,plain,
% 0.89/1.06 ((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 0.89/1.06 inference(unit_resolution,[status(thm)],[711, 710])).
% 0.89/1.06 tff(713,plain,
% 0.89/1.06 (((~((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))) <=> ((~((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))))),
% 0.89/1.06 inference(rewrite,[status(thm)],[])).
% 0.89/1.07 tff(714,plain,
% 0.89/1.07 (((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) <=> (~((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.89/1.07 inference(rewrite,[status(thm)],[])).
% 0.89/1.07 tff(715,plain,
% 0.89/1.07 (((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) <=> (~((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.89/1.07 inference(rewrite,[status(thm)],[])).
% 0.89/1.07 tff(716,plain,
% 0.89/1.07 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) <=> (~((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.89/1.07 inference(rewrite,[status(thm)],[])).
% 0.89/1.07 tff(717,plain,
% 0.89/1.07 ((((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))) <=> ((~((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))))),
% 0.89/1.07 inference(monotonicity,[status(thm)],[716, 715, 714])).
% 0.89/1.07 tff(718,plain,
% 0.89/1.07 ((((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))) <=> ((~((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))))),
% 0.93/1.07 inference(transitivity,[status(thm)],[717, 713])).
% 0.93/1.07 tff(719,plain,
% 0.93/1.07 ((((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))) <=> (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))))),
% 0.93/1.07 inference(rewrite,[status(thm)],[])).
% 0.93/1.07 tff(720,plain,
% 0.93/1.07 (((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))) <=> ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.07 inference(rewrite,[status(thm)],[])).
% 0.93/1.07 tff(721,plain,
% 0.93/1.07 (((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) <=> ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.07 inference(rewrite,[status(thm)],[])).
% 0.93/1.07 tff(722,plain,
% 0.93/1.07 (((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.07 inference(rewrite,[status(thm)],[])).
% 0.93/1.07 tff(723,plain,
% 0.93/1.07 ((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))) <=> (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))))),
% 0.93/1.08 inference(monotonicity,[status(thm)],[722, 721, 720])).
% 0.93/1.08 tff(724,plain,
% 0.93/1.08 ((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))) <=> (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))))),
% 0.93/1.08 inference(transitivity,[status(thm)],[723, 719])).
% 0.93/1.08 tff(725,plain,
% 0.93/1.08 ((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))) <=> (((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))))),
% 0.93/1.08 inference(rewrite,[status(thm)],[])).
% 0.93/1.08 tff(726,plain,
% 0.93/1.08 (((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))) <=> (((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))))),
% 0.93/1.08 inference(rewrite,[status(thm)],[])).
% 0.93/1.08 tff(727,plain,
% 0.93/1.08 (((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e11, e11) = e11) & (~(op1(e11, e11) = e11)))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) <=> (((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))))),
% 0.93/1.08 inference(rewrite,[status(thm)],[])).
% 0.93/1.08 tff(728,plain,
% 0.93/1.08 ((((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e11, e11) = e11) & (~(op1(e11, e11) = e11)))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))) <=> ((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))))),
% 0.93/1.08 inference(monotonicity,[status(thm)],[727])).
% 0.93/1.08 tff(729,plain,
% 0.93/1.08 ((((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e11, e11) = e11) & (~(op1(e11, e11) = e11)))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))) <=> (((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))))),
% 0.93/1.08 inference(transitivity,[status(thm)],[728, 726])).
% 0.93/1.08 tff(730,axiom,((((((((op1(e10, e10) = e10) & (~(op1(e10, e10) = e10))) | ((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) & (((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e11, e11) = e11) & (~(op1(e11, e11) = e11)))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))))) & (((((op1(e10, e12) = e10) & (~(op1(e12, e10) = e12))) | ((op1(e11, e12) = e11) & (~(op1(e12, e11) = e12)))) | ((op1(e12, e12) = e12) & (~(op1(e12, e12) = e12)))) | ((op1(e13, e12) = e13) & (~(op1(e12, e13) = e12))))) & (((((op1(e10, e13) = e10) & (~(op1(e13, e10) = e13))) | ((op1(e11, e13) = e11) & (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & (~(op1(e13, e12) = e13)))) | ((op1(e13, e13) = e13) & (~(op1(e13, e13) = e13))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax10')).
% 0.93/1.09 tff(731,plain,
% 0.93/1.09 (((((((op1(e10, e10) = e10) & (~(op1(e10, e10) = e10))) | ((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) & (((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e11, e11) = e11) & (~(op1(e11, e11) = e11)))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))))) & (((((op1(e10, e12) = e10) & (~(op1(e12, e10) = e12))) | ((op1(e11, e12) = e11) & (~(op1(e12, e11) = e12)))) | ((op1(e12, e12) = e12) & (~(op1(e12, e12) = e12)))) | ((op1(e13, e12) = e13) & (~(op1(e12, e13) = e12))))),
% 0.93/1.09 inference(and_elim,[status(thm)],[730])).
% 0.93/1.09 tff(732,plain,
% 0.93/1.09 ((((((op1(e10, e10) = e10) & (~(op1(e10, e10) = e10))) | ((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) & (((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e11, e11) = e11) & (~(op1(e11, e11) = e11)))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11))))),
% 0.93/1.09 inference(and_elim,[status(thm)],[731])).
% 0.93/1.09 tff(733,plain,
% 0.93/1.09 (((((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e11, e11) = e11) & (~(op1(e11, e11) = e11)))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11)))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))),
% 0.93/1.09 inference(and_elim,[status(thm)],[732])).
% 0.93/1.09 tff(734,plain,
% 0.93/1.09 (((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[733, 729])).
% 0.93/1.09 tff(735,plain,
% 0.93/1.09 (((op1(e10, e11) = e10) & (~(op1(e11, e10) = e11))) | ((op1(e12, e11) = e12) & (~(op1(e11, e12) = e11))) | ((op1(e13, e11) = e13) & (~(op1(e11, e13) = e11)))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[734, 725])).
% 0.93/1.09 tff(736,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[735, 724])).
% 0.93/1.09 tff(737,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[736, 719])).
% 0.93/1.09 tff(738,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[737, 719])).
% 0.93/1.09 tff(739,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[738, 719])).
% 0.93/1.09 tff(740,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[739, 719])).
% 0.93/1.09 tff(741,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[740, 719])).
% 0.93/1.09 tff(742,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.09 inference(modus_ponens,[status(thm)],[741, 719])).
% 0.93/1.09 tff(743,plain,
% 0.93/1.09 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.10 inference(modus_ponens,[status(thm)],[742, 719])).
% 0.93/1.10 tff(744,plain,
% 0.93/1.10 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.10 inference(modus_ponens,[status(thm)],[743, 719])).
% 0.93/1.10 tff(745,plain,
% 0.93/1.10 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.10 inference(modus_ponens,[status(thm)],[744, 719])).
% 0.93/1.10 tff(746,plain,
% 0.93/1.10 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.10 inference(modus_ponens,[status(thm)],[745, 719])).
% 0.93/1.10 tff(747,plain,
% 0.93/1.10 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.10 inference(modus_ponens,[status(thm)],[746, 719])).
% 0.93/1.10 tff(748,plain,
% 0.93/1.10 ((~((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.11 inference(modus_ponens,[status(thm)],[747, 718])).
% 0.93/1.11 tff(749,plain,
% 0.93/1.11 ((~((~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) | (~((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))))),
% 0.93/1.11 inference(unit_resolution,[status(thm)],[748, 712])).
% 0.93/1.11 tff(750,plain,
% 0.93/1.11 ($false),
% 0.93/1.11 inference(unit_resolution,[status(thm)],[749, 643, 591])).
% 0.93/1.11 tff(751,plain,(~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))), inference(lemma,lemma(discharge,[]))).
% 0.93/1.11 tff(752,plain,
% 0.93/1.11 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | $false | $false) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(753,plain,
% 0.93/1.11 ((~(e11 = e13)) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(754,plain,
% 0.93/1.11 ((~(e11 = e13)) <=> (~(e11 = e13))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(755,plain,
% 0.93/1.11 (~(e11 = e13)),
% 0.93/1.11 inference(and_elim,[status(thm)],[582])).
% 0.93/1.11 tff(756,plain,
% 0.93/1.11 (~(e11 = e13)),
% 0.93/1.11 inference(modus_ponens,[status(thm)],[755, 754])).
% 0.93/1.11 tff(757,plain,
% 0.93/1.11 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 0.93/1.11 inference(modus_ponens,[status(thm)],[756, 753])).
% 0.93/1.11 tff(758,plain,
% 0.93/1.11 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) <=> $false),
% 0.93/1.11 inference(iff_false,[status(thm)],[757])).
% 0.93/1.11 tff(759,plain,
% 0.93/1.11 ((~(op1(e10, e12) = op1(e12, e12))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(760,plain,
% 0.93/1.11 ((~(op1(e10, e12) = op1(e12, e12))) <=> (~(op1(e10, e12) = op1(e12, e12)))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(761,plain,
% 0.93/1.11 (~(op1(e10, e12) = op1(e12, e12))),
% 0.93/1.11 inference(and_elim,[status(thm)],[632])).
% 0.93/1.11 tff(762,plain,
% 0.93/1.11 (~(op1(e10, e12) = op1(e12, e12))),
% 0.93/1.11 inference(modus_ponens,[status(thm)],[761, 760])).
% 0.93/1.11 tff(763,plain,
% 0.93/1.11 (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12))),
% 0.93/1.11 inference(modus_ponens,[status(thm)],[762, 759])).
% 0.93/1.11 tff(764,plain,
% 0.93/1.11 ((op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) <=> $false),
% 0.93/1.11 inference(iff_false,[status(thm)],[763])).
% 0.93/1.11 tff(765,plain,
% 0.93/1.11 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | $false | $false)),
% 0.93/1.11 inference(monotonicity,[status(thm)],[764, 758])).
% 0.93/1.11 tff(766,plain,
% 0.93/1.11 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 0.93/1.11 inference(transitivity,[status(thm)],[765, 752])).
% 0.93/1.11 tff(767,plain,
% 0.93/1.11 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(768,plain,
% 0.93/1.11 ((op1(e10, e13) = e13) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(769,plain,
% 0.93/1.11 ((op1(e10, e12) = e13) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(770,plain,
% 0.93/1.11 ((op1(e10, e11) = e13) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(771,plain,
% 0.93/1.11 ((op1(e10, e10) = e13) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(772,plain,
% 0.93/1.11 (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 0.93/1.11 inference(monotonicity,[status(thm)],[771, 770, 769, 768])).
% 0.93/1.11 tff(773,plain,
% 0.93/1.11 (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 0.93/1.11 inference(transitivity,[status(thm)],[772, 767])).
% 0.93/1.11 tff(774,plain,
% 0.93/1.11 (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(775,plain,
% 0.93/1.11 ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(776,plain,
% 0.93/1.11 ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13))),
% 0.93/1.11 inference(rewrite,[status(thm)],[])).
% 0.93/1.11 tff(777,plain,
% 0.93/1.11 (((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)) <=> (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))),
% 0.93/1.11 inference(monotonicity,[status(thm)],[776])).
% 0.93/1.11 tff(778,plain,
% 0.93/1.11 (((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13))),
% 0.93/1.11 inference(transitivity,[status(thm)],[777, 775])).
% 0.93/1.11 tff(779,axiom,(((((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e13, e10) = e13) | (op1(e13, e11) = e13)) | (op1(e13, e12) = e13)) | (op1(e13, e13) = e13))) & ((((op1(e10, e13) = e13) | (op1(e11, e13) = e13)) | (op1(e12, e13) = e13)) | (op1(e13, e13) = e13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax2')).
% 0.93/1.12 tff(780,plain,
% 0.93/1.12 ((((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e13, e10) = e13) | (op1(e13, e11) = e13)) | (op1(e13, e12) = e13)) | (op1(e13, e13) = e13))),
% 0.93/1.13 inference(and_elim,[status(thm)],[779])).
% 0.93/1.13 tff(781,plain,
% 0.93/1.13 (((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12))),
% 0.93/1.14 inference(and_elim,[status(thm)],[780])).
% 0.93/1.14 tff(782,plain,
% 0.93/1.14 ((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))),
% 1.00/1.15 inference(and_elim,[status(thm)],[781])).
% 1.00/1.15 tff(783,plain,
% 1.00/1.15 (((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))),
% 1.00/1.15 inference(and_elim,[status(thm)],[782])).
% 1.00/1.15 tff(784,plain,
% 1.00/1.15 ((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))),
% 1.00/1.16 inference(and_elim,[status(thm)],[783])).
% 1.00/1.16 tff(785,plain,
% 1.00/1.16 (((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))),
% 1.00/1.16 inference(and_elim,[status(thm)],[784])).
% 1.00/1.16 tff(786,plain,
% 1.00/1.16 ((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))),
% 1.00/1.16 inference(and_elim,[status(thm)],[785])).
% 1.00/1.16 tff(787,plain,
% 1.00/1.16 (((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))),
% 1.00/1.17 inference(and_elim,[status(thm)],[786])).
% 1.00/1.17 tff(788,plain,
% 1.00/1.17 ((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))),
% 1.00/1.18 inference(and_elim,[status(thm)],[787])).
% 1.00/1.18 tff(789,plain,
% 1.00/1.18 (((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))),
% 1.00/1.18 inference(and_elim,[status(thm)],[788])).
% 1.00/1.18 tff(790,plain,
% 1.00/1.18 ((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))),
% 1.05/1.19 inference(and_elim,[status(thm)],[789])).
% 1.05/1.19 tff(791,plain,
% 1.05/1.19 (((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))),
% 1.05/1.19 inference(and_elim,[status(thm)],[790])).
% 1.05/1.19 tff(792,plain,
% 1.05/1.19 ((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))),
% 1.05/1.20 inference(and_elim,[status(thm)],[791])).
% 1.05/1.20 tff(793,plain,
% 1.05/1.20 (((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))),
% 1.05/1.20 inference(and_elim,[status(thm)],[792])).
% 1.05/1.20 tff(794,plain,
% 1.05/1.20 ((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))),
% 1.05/1.20 inference(and_elim,[status(thm)],[793])).
% 1.05/1.20 tff(795,plain,
% 1.05/1.20 (((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))),
% 1.05/1.20 inference(and_elim,[status(thm)],[794])).
% 1.05/1.20 tff(796,plain,
% 1.05/1.20 ((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))),
% 1.05/1.20 inference(and_elim,[status(thm)],[795])).
% 1.05/1.21 tff(797,plain,
% 1.05/1.21 (((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))),
% 1.05/1.21 inference(and_elim,[status(thm)],[796])).
% 1.05/1.21 tff(798,plain,
% 1.05/1.21 ((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))),
% 1.05/1.21 inference(and_elim,[status(thm)],[797])).
% 1.05/1.21 tff(799,plain,
% 1.05/1.21 (((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))),
% 1.05/1.22 inference(and_elim,[status(thm)],[798])).
% 1.05/1.22 tff(800,plain,
% 1.05/1.22 ((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))),
% 1.05/1.22 inference(and_elim,[status(thm)],[799])).
% 1.05/1.22 tff(801,plain,
% 1.05/1.22 (((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))),
% 1.05/1.22 inference(and_elim,[status(thm)],[800])).
% 1.05/1.22 tff(802,plain,
% 1.05/1.22 ((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))),
% 1.05/1.22 inference(and_elim,[status(thm)],[801])).
% 1.05/1.22 tff(803,plain,
% 1.05/1.22 (((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))),
% 1.05/1.23 inference(and_elim,[status(thm)],[802])).
% 1.05/1.23 tff(804,plain,
% 1.05/1.23 ((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))),
% 1.05/1.23 inference(and_elim,[status(thm)],[803])).
% 1.05/1.23 tff(805,plain,
% 1.05/1.23 ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)),
% 1.05/1.23 inference(and_elim,[status(thm)],[804])).
% 1.05/1.23 tff(806,plain,
% 1.05/1.23 ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[805, 778])).
% 1.05/1.23 tff(807,plain,
% 1.05/1.23 ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[806, 774])).
% 1.05/1.23 tff(808,plain,
% 1.05/1.23 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[807, 773])).
% 1.05/1.23 tff(809,plain,
% 1.05/1.23 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[808, 767])).
% 1.05/1.23 tff(810,plain,
% 1.05/1.23 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[809, 767])).
% 1.05/1.23 tff(811,plain,
% 1.05/1.23 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[810, 766])).
% 1.05/1.23 tff(812,plain,
% 1.05/1.23 (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)),
% 1.05/1.23 inference(unit_resolution,[status(thm)],[811, 751])).
% 1.05/1.23 tff(813,plain,
% 1.05/1.23 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = h2(op1(e12, e12))),
% 1.05/1.23 inference(monotonicity,[status(thm)],[812])).
% 1.05/1.23 tff(814,plain,
% 1.05/1.23 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.05/1.23 inference(transitivity,[status(thm)],[813, 559, 572, 563])).
% 1.05/1.23 tff(815,plain,
% 1.05/1.23 ((h1(op1(e12, e12)) = h3(e12)) <=> (h4(e12) = h3(e12))),
% 1.05/1.23 inference(monotonicity,[status(thm)],[294])).
% 1.05/1.23 tff(816,plain,
% 1.05/1.23 ((h4(e12) = h3(e12)) <=> (h1(op1(e12, e12)) = h3(e12))),
% 1.05/1.23 inference(symmetry,[status(thm)],[815])).
% 1.05/1.23 tff(817,plain,
% 1.05/1.23 ((~(h4(e12) = h3(e12))) <=> (~(h1(op1(e12, e12)) = h3(e12)))),
% 1.05/1.23 inference(monotonicity,[status(thm)],[816])).
% 1.05/1.23 tff(818,plain,
% 1.05/1.23 ((h3(e12) = h4(e12)) <=> (h4(e12) = h3(e12))),
% 1.05/1.23 inference(commutativity,[status(thm)],[])).
% 1.05/1.23 tff(819,plain,
% 1.05/1.23 ((~(h3(e12) = h4(e12))) <=> (~(h4(e12) = h3(e12)))),
% 1.05/1.23 inference(monotonicity,[status(thm)],[818])).
% 1.05/1.23 tff(820,plain,
% 1.05/1.23 ((~(h3(e12) = op2(h3(e12), h3(e12)))) <=> (~(h3(e12) = h4(e12)))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(821,plain,
% 1.05/1.23 ((~(e22 = e23)) <=> (~(h3(e12) = op2(h3(e12), h3(e12))))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(822,plain,
% 1.05/1.23 ((~(e22 = e23)) <=> (~(e22 = e23))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(823,plain,
% 1.05/1.23 (~(e22 = e23)),
% 1.05/1.23 inference(and_elim,[status(thm)],[10])).
% 1.05/1.23 tff(824,plain,
% 1.05/1.23 (~(e22 = e23)),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[823, 822])).
% 1.05/1.23 tff(825,plain,
% 1.05/1.23 (~(h3(e12) = op2(h3(e12), h3(e12)))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[824, 821])).
% 1.05/1.23 tff(826,plain,
% 1.05/1.23 (~(h3(e12) = h4(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[825, 820])).
% 1.05/1.23 tff(827,plain,
% 1.05/1.23 (~(h4(e12) = h3(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[826, 819])).
% 1.05/1.23 tff(828,plain,
% 1.05/1.23 (~(h1(op1(e12, e12)) = h3(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[827, 817])).
% 1.05/1.23 tff(829,plain,
% 1.05/1.23 ((op2(h2(e12), h1(e12)) = h3(e12)) <=> (h2(e12) = h3(e12))),
% 1.05/1.23 inference(monotonicity,[status(thm)],[488])).
% 1.05/1.23 tff(830,plain,
% 1.05/1.23 ((h2(e12) = h3(e12)) <=> (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.05/1.23 inference(symmetry,[status(thm)],[829])).
% 1.05/1.23 tff(831,plain,
% 1.05/1.23 ((~(h2(e12) = h3(e12))) <=> (~(op2(h2(e12), h1(e12)) = h3(e12)))),
% 1.05/1.23 inference(monotonicity,[status(thm)],[830])).
% 1.05/1.23 tff(832,plain,
% 1.05/1.23 ((~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h3(e12))) <=> (~(h2(e12) = h3(e12)))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(833,plain,
% 1.05/1.23 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h3(e12))) <=> (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h3(e12)))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(834,plain,
% 1.05/1.23 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h3(e12)))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(835,plain,
% 1.05/1.23 ((~(e21 = e22)) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(836,plain,
% 1.05/1.23 ((~(e21 = e22)) <=> (~(e21 = e22))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(837,plain,
% 1.05/1.23 (~(e21 = e22)),
% 1.05/1.23 inference(and_elim,[status(thm)],[12])).
% 1.05/1.23 tff(838,plain,
% 1.05/1.23 (~(e21 = e22)),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[837, 836])).
% 1.05/1.23 tff(839,plain,
% 1.05/1.23 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[838, 835])).
% 1.05/1.23 tff(840,plain,
% 1.05/1.23 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h3(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[839, 834])).
% 1.05/1.23 tff(841,plain,
% 1.05/1.23 (~(op2(op2(h4(e12), h4(e12)), h4(e12)) = h3(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[840, 833])).
% 1.05/1.23 tff(842,plain,
% 1.05/1.23 (~(h2(e12) = h3(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[841, 832])).
% 1.05/1.23 tff(843,plain,
% 1.05/1.23 (~(op2(h2(e12), h1(e12)) = h3(e12))),
% 1.05/1.23 inference(modus_ponens,[status(thm)],[842, 831])).
% 1.05/1.23 tff(844,plain,
% 1.05/1.23 (((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(845,plain,
% 1.05/1.23 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12)) <=> (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.05/1.23 inference(rewrite,[status(thm)],[])).
% 1.05/1.23 tff(846,plain,
% 1.05/1.23 (((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)))),
% 1.05/1.24 inference(monotonicity,[status(thm)],[845])).
% 1.05/1.24 tff(847,plain,
% 1.05/1.24 (((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)))),
% 1.05/1.24 inference(transitivity,[status(thm)],[846, 844])).
% 1.05/1.24 tff(848,plain,
% 1.05/1.24 (((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12)))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(849,plain,
% 1.05/1.24 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(850,plain,
% 1.05/1.24 (((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12)))),
% 1.05/1.24 inference(monotonicity,[status(thm)],[849])).
% 1.05/1.24 tff(851,plain,
% 1.05/1.24 (((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12)))),
% 1.05/1.24 inference(transitivity,[status(thm)],[850, 848])).
% 1.05/1.24 tff(852,plain,
% 1.05/1.24 (((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12)))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(853,plain,
% 1.05/1.24 (((h1(op1(e12, e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12)) | (op2(h3(e12), h1(e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12)))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(854,plain,
% 1.05/1.24 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) <=> (op2(h4(e12), h1(e12)) = h3(e12))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(855,plain,
% 1.05/1.24 ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) <=> (op2(h3(e12), h1(e12)) = h3(e12))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(856,plain,
% 1.05/1.24 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(857,plain,
% 1.05/1.24 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) <=> (h1(op1(e12, e12)) = h3(e12))),
% 1.05/1.24 inference(rewrite,[status(thm)],[])).
% 1.05/1.24 tff(858,plain,
% 1.05/1.24 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))) <=> ((h1(op1(e12, e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12)) | (op2(h3(e12), h1(e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)))),
% 1.10/1.24 inference(monotonicity,[status(thm)],[857, 856, 855, 854])).
% 1.10/1.24 tff(859,plain,
% 1.10/1.24 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))) <=> ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12)))),
% 1.10/1.24 inference(transitivity,[status(thm)],[858, 853])).
% 1.10/1.24 tff(860,plain,
% 1.10/1.24 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)))),
% 1.10/1.24 inference(rewrite,[status(thm)],[])).
% 1.10/1.24 tff(861,plain,
% 1.10/1.24 ((op2(e23, e20) = e22) <=> (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.10/1.24 inference(rewrite,[status(thm)],[])).
% 1.10/1.24 tff(862,plain,
% 1.10/1.24 ((op2(e22, e20) = e22) <=> (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.10/1.24 inference(rewrite,[status(thm)],[])).
% 1.10/1.24 tff(863,plain,
% 1.10/1.24 ((op2(e21, e20) = e22) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.10/1.24 inference(rewrite,[status(thm)],[])).
% 1.10/1.24 tff(864,plain,
% 1.10/1.24 ((op2(e20, e20) = e22) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.10/1.24 inference(rewrite,[status(thm)],[])).
% 1.10/1.24 tff(865,plain,
% 1.10/1.24 (((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)))),
% 1.10/1.24 inference(monotonicity,[status(thm)],[864, 863, 862, 861])).
% 1.10/1.24 tff(866,plain,
% 1.10/1.24 (((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)))),
% 1.10/1.24 inference(transitivity,[status(thm)],[865, 860])).
% 1.10/1.24 tff(867,plain,
% 1.10/1.24 (((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22)) <=> ((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22))),
% 1.10/1.25 inference(rewrite,[status(thm)],[])).
% 1.10/1.25 tff(868,plain,
% 1.10/1.25 ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22)) <=> ((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22))),
% 1.10/1.25 inference(rewrite,[status(thm)],[])).
% 1.10/1.25 tff(869,plain,
% 1.10/1.25 ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) <=> ((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22))),
% 1.10/1.25 inference(rewrite,[status(thm)],[])).
% 1.10/1.25 tff(870,plain,
% 1.10/1.25 (((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22)) <=> (((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))),
% 1.10/1.25 inference(monotonicity,[status(thm)],[869])).
% 1.10/1.25 tff(871,plain,
% 1.10/1.25 (((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22)) <=> ((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22))),
% 1.10/1.25 inference(transitivity,[status(thm)],[870, 868])).
% 1.10/1.25 tff(872,plain,
% 1.10/1.25 ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22)),
% 1.10/1.25 inference(and_elim,[status(thm)],[451])).
% 1.10/1.25 tff(873,plain,
% 1.10/1.25 ((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22)),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[872, 871])).
% 1.10/1.25 tff(874,plain,
% 1.10/1.25 ((op2(e20, e20) = e22) | (op2(e21, e20) = e22) | (op2(e22, e20) = e22) | (op2(e23, e20) = e22)),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[873, 867])).
% 1.10/1.25 tff(875,plain,
% 1.10/1.25 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[874, 866])).
% 1.10/1.25 tff(876,plain,
% 1.10/1.25 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[875, 860])).
% 1.10/1.25 tff(877,plain,
% 1.10/1.25 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[876, 860])).
% 1.10/1.25 tff(878,plain,
% 1.10/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12))),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[877, 859])).
% 1.10/1.25 tff(879,plain,
% 1.10/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h3(e12))),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[878, 852])).
% 1.10/1.25 tff(880,plain,
% 1.10/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12))),
% 1.10/1.25 inference(modus_ponens,[status(thm)],[879, 851])).
% 1.11/1.25 tff(881,plain,
% 1.11/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h3(e12))),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[880, 848])).
% 1.11/1.25 tff(882,plain,
% 1.11/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[881, 847])).
% 1.11/1.25 tff(883,plain,
% 1.11/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[882, 844])).
% 1.11/1.25 tff(884,plain,
% 1.11/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[883, 844])).
% 1.11/1.25 tff(885,plain,
% 1.11/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[884, 844])).
% 1.11/1.25 tff(886,plain,
% 1.11/1.25 ((op2(h3(e12), h1(e12)) = h3(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[885, 844])).
% 1.11/1.25 tff(887,plain,
% 1.11/1.25 ((h1(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h3(e12))),
% 1.11/1.25 inference(unit_resolution,[status(thm)],[886, 339])).
% 1.11/1.25 tff(888,plain,
% 1.11/1.25 (op2(h4(e12), h1(e12)) = h3(e12)),
% 1.11/1.25 inference(unit_resolution,[status(thm)],[887, 843, 828])).
% 1.11/1.25 tff(889,plain,
% 1.11/1.25 (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = op2(h4(e12), h1(e12))),
% 1.11/1.25 inference(monotonicity,[status(thm)],[561, 559])).
% 1.11/1.25 tff(890,plain,
% 1.11/1.25 (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)),
% 1.11/1.25 inference(transitivity,[status(thm)],[889, 888])).
% 1.11/1.25 tff(891,plain,
% 1.11/1.25 ((h4(e12) = e23) <=> (h4(e12) = op2(h3(e12), h3(e12)))),
% 1.11/1.25 inference(rewrite,[status(thm)],[])).
% 1.11/1.25 tff(892,plain,
% 1.11/1.25 ((h4(e12) = e23) <=> (h4(e12) = e23)),
% 1.11/1.25 inference(rewrite,[status(thm)],[])).
% 1.11/1.25 tff(893,axiom,((((h4(e12) = e23) & (h4(e10) = op2(op2(e23, e23), op2(e23, e23)))) & (h4(e11) = op2(op2(op2(e23, e23), op2(e23, e23)), op2(e23, e23)))) & (h4(e13) = op2(e23, e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax17')).
% 1.11/1.25 tff(894,plain,
% 1.11/1.25 (((h4(e12) = e23) & (h4(e10) = op2(op2(e23, e23), op2(e23, e23)))) & (h4(e11) = op2(op2(op2(e23, e23), op2(e23, e23)), op2(e23, e23)))),
% 1.11/1.25 inference(and_elim,[status(thm)],[893])).
% 1.11/1.25 tff(895,plain,
% 1.11/1.25 ((h4(e12) = e23) & (h4(e10) = op2(op2(e23, e23), op2(e23, e23)))),
% 1.11/1.25 inference(and_elim,[status(thm)],[894])).
% 1.11/1.25 tff(896,plain,
% 1.11/1.25 (h4(e12) = e23),
% 1.11/1.25 inference(and_elim,[status(thm)],[895])).
% 1.11/1.25 tff(897,plain,
% 1.11/1.25 (h4(e12) = e23),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[896, 892])).
% 1.11/1.25 tff(898,plain,
% 1.11/1.25 (h4(e12) = op2(h3(e12), h3(e12))),
% 1.11/1.25 inference(modus_ponens,[status(thm)],[897, 891])).
% 1.11/1.25 tff(899,plain,
% 1.11/1.25 (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = op2(h3(e12), h3(e12))),
% 1.11/1.25 inference(transitivity,[status(thm)],[560, 303, 294, 898])).
% 1.11/1.25 tff(900,plain,
% 1.11/1.25 (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 1.11/1.25 inference(monotonicity,[status(thm)],[899, 890])).
% 1.11/1.25 tff(901,plain,
% 1.11/1.25 (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.11/1.25 inference(symmetry,[status(thm)],[900])).
% 1.11/1.25 tff(902,plain,
% 1.11/1.25 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.11/1.25 inference(rewrite,[status(thm)],[])).
% 1.11/1.25 tff(903,plain,
% 1.11/1.25 (($false | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.11/1.25 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(904,plain,
% 1.11/1.26 (((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ($false | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(monotonicity,[status(thm)],[218])).
% 1.11/1.26 tff(905,plain,
% 1.11/1.26 (((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(transitivity,[status(thm)],[904, 903])).
% 1.11/1.26 tff(906,plain,
% 1.11/1.26 (((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(907,plain,
% 1.11/1.26 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12)) <=> (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(908,plain,
% 1.11/1.26 ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) <=> (h2(e12) = h4(e12))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(909,plain,
% 1.11/1.26 (((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12))) <=> ((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(monotonicity,[status(thm)],[908, 907])).
% 1.11/1.26 tff(910,plain,
% 1.11/1.26 (((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12))) <=> ((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(transitivity,[status(thm)],[909, 906])).
% 1.11/1.26 tff(911,plain,
% 1.11/1.26 (((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(912,plain,
% 1.11/1.26 (((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | $false | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(913,plain,
% 1.11/1.26 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(914,plain,
% 1.11/1.26 ((h1(e12) = h4(e12)) <=> $false),
% 1.11/1.26 inference(iff_false,[status(thm)],[17])).
% 1.11/1.26 tff(915,plain,
% 1.11/1.26 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | $false | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)))),
% 1.11/1.26 inference(monotonicity,[status(thm)],[233, 914, 913])).
% 1.11/1.26 tff(916,plain,
% 1.11/1.26 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))) <=> ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12)))),
% 1.11/1.26 inference(transitivity,[status(thm)],[915, 912])).
% 1.11/1.26 tff(917,plain,
% 1.11/1.26 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(918,plain,
% 1.11/1.26 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (h1(e12) = h4(e12))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(919,plain,
% 1.11/1.26 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (h1(e12) = h4(e12))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(920,plain,
% 1.11/1.26 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(921,plain,
% 1.11/1.26 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (h1(e12) = h4(e12)))),
% 1.11/1.26 inference(monotonicity,[status(thm)],[238, 920, 122, 919])).
% 1.11/1.26 tff(922,plain,
% 1.11/1.26 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)))),
% 1.11/1.26 inference(transitivity,[status(thm)],[921, 918])).
% 1.11/1.26 tff(923,plain,
% 1.11/1.26 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(924,plain,
% 1.11/1.26 ((op2(e23, e23) = e23) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(925,plain,
% 1.11/1.26 ((op2(e21, e23) = e23) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.11/1.26 inference(rewrite,[status(thm)],[])).
% 1.11/1.26 tff(926,plain,
% 1.11/1.26 (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.11/1.27 inference(monotonicity,[status(thm)],[245, 925, 128, 924])).
% 1.11/1.27 tff(927,plain,
% 1.11/1.27 (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.11/1.27 inference(transitivity,[status(thm)],[926, 923])).
% 1.11/1.27 tff(928,plain,
% 1.11/1.27 (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23))),
% 1.11/1.27 inference(rewrite,[status(thm)],[])).
% 1.11/1.27 tff(929,plain,
% 1.11/1.27 ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23))),
% 1.11/1.27 inference(rewrite,[status(thm)],[])).
% 1.11/1.27 tff(930,plain,
% 1.11/1.27 ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23))),
% 1.11/1.27 inference(rewrite,[status(thm)],[])).
% 1.11/1.27 tff(931,plain,
% 1.11/1.27 (((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)) <=> (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23))),
% 1.11/1.27 inference(monotonicity,[status(thm)],[930])).
% 1.11/1.27 tff(932,plain,
% 1.11/1.27 (((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23))),
% 1.11/1.27 inference(transitivity,[status(thm)],[931, 929])).
% 1.11/1.27 tff(933,plain,
% 1.11/1.27 ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)),
% 1.11/1.27 inference(and_elim,[status(thm)],[256])).
% 1.11/1.27 tff(934,plain,
% 1.11/1.27 ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)),
% 1.11/1.27 inference(modus_ponens,[status(thm)],[933, 932])).
% 1.11/1.27 tff(935,plain,
% 1.11/1.27 ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)),
% 1.11/1.27 inference(modus_ponens,[status(thm)],[934, 928])).
% 1.11/1.27 tff(936,plain,
% 1.11/1.27 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.11/1.27 inference(modus_ponens,[status(thm)],[935, 927])).
% 1.11/1.27 tff(937,plain,
% 1.11/1.27 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.11/1.27 inference(modus_ponens,[status(thm)],[936, 923])).
% 1.11/1.27 tff(938,plain,
% 1.11/1.27 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[937, 923])).
% 1.11/1.28 tff(939,plain,
% 1.11/1.28 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[938, 922])).
% 1.11/1.28 tff(940,plain,
% 1.11/1.28 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[939, 917])).
% 1.11/1.28 tff(941,plain,
% 1.11/1.28 ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[940, 916])).
% 1.11/1.28 tff(942,plain,
% 1.11/1.28 ((op2(op2(h4(e12), h4(e12)), h4(e12)) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[941, 911])).
% 1.11/1.28 tff(943,plain,
% 1.11/1.28 ((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[942, 910])).
% 1.11/1.28 tff(944,plain,
% 1.11/1.28 ((h2(e12) = h4(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[943, 906])).
% 1.11/1.28 tff(945,plain,
% 1.11/1.28 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[944, 905])).
% 1.11/1.28 tff(946,plain,
% 1.11/1.28 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[945, 902])).
% 1.11/1.28 tff(947,plain,
% 1.11/1.28 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[946, 902])).
% 1.11/1.28 tff(948,plain,
% 1.11/1.28 (op2(h2(e12), h4(e12)) = h4(e12)),
% 1.11/1.28 inference(unit_resolution,[status(thm)],[947, 103])).
% 1.11/1.28 tff(949,plain,
% 1.11/1.28 ((h2(op1(e12, e12)) = op2(op2(h1(e12), h4(e12)), op2(h1(e12), h4(e12)))) <=> (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(950,plain,
% 1.11/1.28 ((h2(op1(e12, e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> (h2(op1(e12, e12)) = op2(op2(h1(e12), h4(e12)), op2(h1(e12), h4(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(951,plain,
% 1.11/1.28 ((h2(op1(e12, e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> (h2(op1(e12, e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(952,plain,
% 1.11/1.28 ((h2(op1(e12, e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> (h2(op1(e12, e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(953,plain,
% 1.11/1.28 ((h2(e13) = op2(e21, e21)) <=> (h2(op1(e12, e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(954,plain,
% 1.11/1.28 ((h2(e13) = op2(e21, e21)) <=> (h2(e13) = op2(e21, e21))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(955,axiom,((((h2(e12) = e21) & (h2(e10) = op2(op2(e21, e21), op2(e21, e21)))) & (h2(e11) = op2(op2(op2(e21, e21), op2(e21, e21)), op2(e21, e21)))) & (h2(e13) = op2(e21, e21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax15')).
% 1.11/1.28 tff(956,plain,
% 1.11/1.28 (h2(e13) = op2(e21, e21)),
% 1.11/1.28 inference(and_elim,[status(thm)],[955])).
% 1.11/1.28 tff(957,plain,
% 1.11/1.28 (h2(e13) = op2(e21, e21)),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[956, 954])).
% 1.11/1.28 tff(958,plain,
% 1.11/1.28 (h2(op1(e12, e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[957, 953])).
% 1.11/1.28 tff(959,plain,
% 1.11/1.28 (h2(op1(e12, e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[958, 952])).
% 1.11/1.28 tff(960,plain,
% 1.11/1.28 (h2(op1(e12, e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[959, 951])).
% 1.11/1.28 tff(961,plain,
% 1.11/1.28 (h2(op1(e12, e12)) = op2(op2(h1(e12), h4(e12)), op2(h1(e12), h4(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[960, 950])).
% 1.11/1.28 tff(962,plain,
% 1.11/1.28 (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[961, 949])).
% 1.11/1.28 tff(963,plain,
% 1.11/1.28 (op2(h2(e12), h2(e12)) = h2(op1(e12, e12))),
% 1.11/1.28 inference(symmetry,[status(thm)],[962])).
% 1.11/1.28 tff(964,plain,
% 1.11/1.28 ((op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12))) <=> (h2(op1(e12, e12)) = h4(e12))),
% 1.11/1.28 inference(monotonicity,[status(thm)],[963, 948])).
% 1.11/1.28 tff(965,plain,
% 1.11/1.28 ((~(op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12)))) <=> (~(h2(op1(e12, e12)) = h4(e12)))),
% 1.11/1.28 inference(monotonicity,[status(thm)],[964])).
% 1.11/1.28 tff(966,plain,
% 1.11/1.28 ((~(h2(op1(e12, e12)) = op2(h2(e12), h4(e12)))) <=> (~(op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(967,plain,
% 1.11/1.28 ((~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)))) <=> (~(h2(op1(e12, e12)) = op2(h2(e12), h4(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(968,plain,
% 1.11/1.28 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)))) <=> (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(969,plain,
% 1.11/1.28 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(970,plain,
% 1.11/1.28 ((~(op2(e21, e21) = op2(e21, e23))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(971,plain,
% 1.11/1.28 ((~(op2(e21, e21) = op2(e21, e23))) <=> (~(op2(e21, e21) = op2(e21, e23)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(972,plain,
% 1.11/1.28 (~(op2(e21, e21) = op2(e21, e23))),
% 1.11/1.28 inference(and_elim,[status(thm)],[44])).
% 1.11/1.28 tff(973,plain,
% 1.11/1.28 (~(op2(e21, e21) = op2(e21, e23))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[972, 971])).
% 1.11/1.28 tff(974,plain,
% 1.11/1.28 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[973, 970])).
% 1.11/1.28 tff(975,plain,
% 1.11/1.28 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h4(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[974, 969])).
% 1.11/1.28 tff(976,plain,
% 1.11/1.28 (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h4(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[975, 968])).
% 1.11/1.28 tff(977,plain,
% 1.11/1.28 (~(h2(op1(e12, e12)) = op2(h2(e12), h4(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[976, 967])).
% 1.11/1.28 tff(978,plain,
% 1.11/1.28 (~(op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[977, 966])).
% 1.11/1.28 tff(979,plain,
% 1.11/1.28 (~(h2(op1(e12, e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[978, 965])).
% 1.11/1.28 tff(980,plain,
% 1.11/1.28 (((h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(981,plain,
% 1.11/1.28 (((h2(op1(e12, e12)) = h4(e12)) | $false | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(982,plain,
% 1.11/1.28 ((~(op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> (~(op2(h3(e12), h2(e12)) = h4(e12)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(983,plain,
% 1.11/1.28 ((~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> (~(op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(984,plain,
% 1.11/1.28 ((~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(985,plain,
% 1.11/1.28 ((~(op2(e22, e21) = op2(e22, e22))) <=> (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(986,plain,
% 1.11/1.28 ((~(op2(e22, e21) = op2(e22, e22))) <=> (~(op2(e22, e21) = op2(e22, e22)))),
% 1.11/1.28 inference(rewrite,[status(thm)],[])).
% 1.11/1.28 tff(987,plain,
% 1.11/1.28 (~(op2(e22, e21) = op2(e22, e22))),
% 1.11/1.28 inference(and_elim,[status(thm)],[39])).
% 1.11/1.28 tff(988,plain,
% 1.11/1.28 (~(op2(e22, e21) = op2(e22, e22))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[987, 986])).
% 1.11/1.28 tff(989,plain,
% 1.11/1.28 (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[988, 985])).
% 1.11/1.28 tff(990,plain,
% 1.11/1.28 (~(op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[989, 984])).
% 1.11/1.28 tff(991,plain,
% 1.11/1.28 (~(op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[990, 983])).
% 1.11/1.28 tff(992,plain,
% 1.11/1.28 (~(op2(h3(e12), h2(e12)) = h4(e12))),
% 1.11/1.28 inference(modus_ponens,[status(thm)],[991, 982])).
% 1.11/1.28 tff(993,plain,
% 1.11/1.28 ((op2(h3(e12), h2(e12)) = h4(e12)) <=> $false),
% 1.11/1.28 inference(iff_false,[status(thm)],[992])).
% 1.11/1.28 tff(994,plain,
% 1.11/1.28 (((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h4(e12)) | $false | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.11/1.28 inference(monotonicity,[status(thm)],[993])).
% 1.11/1.28 tff(995,plain,
% 1.11/1.28 (((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.11/1.28 inference(transitivity,[status(thm)],[994, 981])).
% 1.11/1.28 tff(996,plain,
% 1.11/1.28 (((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(997,plain,
% 1.11/1.29 (((op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(998,plain,
% 1.11/1.29 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) <=> (h2(op1(e12, e12)) = h4(e12))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(999,plain,
% 1.11/1.29 ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) <=> (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(1000,plain,
% 1.11/1.29 ((op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) <=> (op2(h4(e12), h2(e12)) = h4(e12))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(1001,plain,
% 1.11/1.29 ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) <=> (op2(h3(e12), h2(e12)) = h4(e12))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(1002,plain,
% 1.11/1.29 (((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> ((op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)))),
% 1.11/1.29 inference(monotonicity,[status(thm)],[1001, 1000, 999, 998])).
% 1.11/1.29 tff(1003,plain,
% 1.11/1.29 (((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> ((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.11/1.29 inference(transitivity,[status(thm)],[1002, 997])).
% 1.11/1.29 tff(1004,plain,
% 1.11/1.29 (((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(1005,plain,
% 1.11/1.29 (((op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))) <=> ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(1006,plain,
% 1.11/1.29 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(1007,plain,
% 1.11/1.29 ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) <=> (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 1.11/1.29 inference(rewrite,[status(thm)],[])).
% 1.11/1.29 tff(1008,plain,
% 1.11/1.29 ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) <=> (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 1.11/1.30 inference(rewrite,[status(thm)],[])).
% 1.11/1.30 tff(1009,plain,
% 1.11/1.30 (((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 1.11/1.30 inference(monotonicity,[status(thm)],[1008, 1007, 224, 1006])).
% 1.11/1.30 tff(1010,plain,
% 1.11/1.30 (((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)))),
% 1.11/1.30 inference(transitivity,[status(thm)],[1009, 1005])).
% 1.11/1.30 tff(1011,plain,
% 1.11/1.30 (((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 1.11/1.30 inference(rewrite,[status(thm)],[])).
% 1.11/1.30 tff(1012,plain,
% 1.11/1.30 (((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 1.11/1.30 inference(rewrite,[status(thm)],[])).
% 1.11/1.30 tff(1013,plain,
% 1.11/1.30 ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 1.11/1.30 inference(rewrite,[status(thm)],[])).
% 1.11/1.30 tff(1014,plain,
% 1.11/1.30 ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 1.11/1.30 inference(rewrite,[status(thm)],[])).
% 1.11/1.30 tff(1015,plain,
% 1.11/1.30 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 1.11/1.30 inference(rewrite,[status(thm)],[])).
% 1.11/1.30 tff(1016,plain,
% 1.11/1.30 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 1.11/1.30 inference(monotonicity,[status(thm)],[240, 1015, 1014, 1013])).
% 1.11/1.30 tff(1017,plain,
% 1.11/1.30 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 1.11/1.30 inference(transitivity,[status(thm)],[1016, 1012])).
% 1.11/1.30 tff(1018,plain,
% 1.11/1.30 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.11/1.30 inference(rewrite,[status(thm)],[])).
% 1.11/1.30 tff(1019,plain,
% 1.11/1.30 ((op2(e23, e21) = e23) <=> (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1020,plain,
% 1.17/1.31 ((op2(e22, e21) = e23) <=> (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1021,plain,
% 1.17/1.31 ((op2(e21, e21) = e23) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1022,plain,
% 1.17/1.31 (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.17/1.31 inference(monotonicity,[status(thm)],[247, 1021, 1020, 1019])).
% 1.17/1.31 tff(1023,plain,
% 1.17/1.31 (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.17/1.31 inference(transitivity,[status(thm)],[1022, 1018])).
% 1.17/1.31 tff(1024,plain,
% 1.17/1.31 (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1025,plain,
% 1.17/1.31 ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1026,plain,
% 1.17/1.31 ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1027,plain,
% 1.17/1.31 (((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)) <=> (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))),
% 1.17/1.31 inference(monotonicity,[status(thm)],[1026])).
% 1.17/1.31 tff(1028,plain,
% 1.17/1.31 (((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23))),
% 1.17/1.31 inference(transitivity,[status(thm)],[1027, 1025])).
% 1.17/1.31 tff(1029,plain,
% 1.17/1.31 ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)),
% 1.17/1.31 inference(and_elim,[status(thm)],[272])).
% 1.17/1.31 tff(1030,plain,
% 1.17/1.31 ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.17/1.31 tff(1031,plain,
% 1.17/1.31 ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1030, 1024])).
% 1.17/1.31 tff(1032,plain,
% 1.17/1.31 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1031, 1023])).
% 1.17/1.31 tff(1033,plain,
% 1.17/1.31 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1032, 1018])).
% 1.17/1.31 tff(1034,plain,
% 1.17/1.31 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1033, 1018])).
% 1.17/1.31 tff(1035,plain,
% 1.17/1.31 ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1034, 1017])).
% 1.17/1.31 tff(1036,plain,
% 1.17/1.31 ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1035, 1011])).
% 1.17/1.31 tff(1037,plain,
% 1.17/1.31 ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1036, 1010])).
% 1.17/1.31 tff(1038,plain,
% 1.17/1.31 ((op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1037, 1004])).
% 1.17/1.31 tff(1039,plain,
% 1.17/1.31 ((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1038, 1003])).
% 1.17/1.31 tff(1040,plain,
% 1.17/1.31 ((h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1039, 996])).
% 1.17/1.32 tff(1041,plain,
% 1.17/1.32 ((h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1040, 995])).
% 1.17/1.32 tff(1042,plain,
% 1.17/1.32 ((h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1041, 980])).
% 1.17/1.32 tff(1043,plain,
% 1.17/1.32 ((h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1042, 980])).
% 1.17/1.32 tff(1044,plain,
% 1.17/1.32 ((op2(h4(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.32 inference(unit_resolution,[status(thm)],[1043, 979])).
% 1.17/1.32 tff(1045,plain,
% 1.17/1.32 (op2(h4(e12), h2(e12)) = h4(e12)),
% 1.17/1.32 inference(unit_resolution,[status(thm)],[1044, 205])).
% 1.17/1.32 tff(1046,plain,
% 1.17/1.32 ((op2(h4(e12), h2(e12)) = h2(e12)) <=> (h4(e12) = h2(e12))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1045])).
% 1.17/1.32 tff(1047,plain,
% 1.17/1.32 ((h4(e12) = h2(e12)) <=> (op2(h4(e12), h2(e12)) = h2(e12))),
% 1.17/1.32 inference(symmetry,[status(thm)],[1046])).
% 1.17/1.32 tff(1048,plain,
% 1.17/1.32 ((~(h4(e12) = h2(e12))) <=> (~(op2(h4(e12), h2(e12)) = h2(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1047])).
% 1.17/1.32 tff(1049,plain,
% 1.17/1.32 ((h2(e12) = h4(e12)) <=> (h4(e12) = h2(e12))),
% 1.17/1.32 inference(commutativity,[status(thm)],[])).
% 1.17/1.32 tff(1050,plain,
% 1.17/1.32 ((~(h2(e12) = h4(e12))) <=> (~(h4(e12) = h2(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1049])).
% 1.17/1.32 tff(1051,plain,
% 1.17/1.32 (~(h4(e12) = h2(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[217, 1050])).
% 1.17/1.32 tff(1052,plain,
% 1.17/1.32 (~(op2(h4(e12), h2(e12)) = h2(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1051, 1048])).
% 1.17/1.32 tff(1053,plain,
% 1.17/1.32 (op2(op2(h1(e12), h1(e12)), h1(e12)) = op2(h4(e12), h1(e12))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[305])).
% 1.17/1.32 tff(1054,plain,
% 1.17/1.32 (op2(h4(e12), h1(e12)) = op2(op2(h1(e12), h1(e12)), h1(e12))),
% 1.17/1.32 inference(symmetry,[status(thm)],[1053])).
% 1.17/1.32 tff(1055,plain,
% 1.17/1.32 ((op2(h4(e12), h1(e12)) = h2(e12)) <=> (op2(op2(h1(e12), h1(e12)), h1(e12)) = h2(e12))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1054])).
% 1.17/1.32 tff(1056,plain,
% 1.17/1.32 ((op2(op2(h1(e12), h1(e12)), h1(e12)) = h2(e12)) <=> (op2(h4(e12), h1(e12)) = h2(e12))),
% 1.17/1.32 inference(symmetry,[status(thm)],[1055])).
% 1.17/1.32 tff(1057,plain,
% 1.17/1.32 ((h2(e12) = op2(op2(h1(e12), h1(e12)), h1(e12))) <=> (op2(op2(h1(e12), h1(e12)), h1(e12)) = h2(e12))),
% 1.17/1.32 inference(commutativity,[status(thm)],[])).
% 1.17/1.32 tff(1058,plain,
% 1.17/1.32 ((op2(h2(e12), h1(e12)) = op2(h4(e12), h1(e12))) <=> (h2(e12) = op2(op2(h1(e12), h1(e12)), h1(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[488, 1054])).
% 1.17/1.32 tff(1059,plain,
% 1.17/1.32 ((op2(h2(e12), h1(e12)) = op2(h4(e12), h1(e12))) <=> (op2(op2(h1(e12), h1(e12)), h1(e12)) = h2(e12))),
% 1.17/1.32 inference(transitivity,[status(thm)],[1058, 1057])).
% 1.17/1.32 tff(1060,plain,
% 1.17/1.32 ((op2(h2(e12), h1(e12)) = op2(h4(e12), h1(e12))) <=> (op2(h4(e12), h1(e12)) = h2(e12))),
% 1.17/1.32 inference(transitivity,[status(thm)],[1059, 1056])).
% 1.17/1.32 tff(1061,plain,
% 1.17/1.32 ((~(op2(h2(e12), h1(e12)) = op2(h4(e12), h1(e12)))) <=> (~(op2(h4(e12), h1(e12)) = h2(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1060])).
% 1.17/1.32 tff(1062,plain,
% 1.17/1.32 ((~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(h4(e12), h1(e12)))) <=> (~(op2(h2(e12), h1(e12)) = op2(h4(e12), h1(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1063,plain,
% 1.17/1.32 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(h4(e12), h1(e12)))) <=> (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(h4(e12), h1(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1064,plain,
% 1.17/1.32 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(h4(e12), h1(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1065,plain,
% 1.17/1.32 ((~(op2(e21, e20) = op2(e23, e20))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1066,plain,
% 1.17/1.32 ((~(op2(e21, e20) = op2(e23, e20))) <=> (~(op2(e21, e20) = op2(e23, e20)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1067,plain,
% 1.17/1.32 (~(op2(e21, e20) = op2(e23, e20))),
% 1.17/1.32 inference(and_elim,[status(thm)],[321])).
% 1.17/1.32 tff(1068,plain,
% 1.17/1.32 (~(op2(e21, e20) = op2(e23, e20))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1067, 1066])).
% 1.17/1.32 tff(1069,plain,
% 1.17/1.32 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1068, 1065])).
% 1.17/1.32 tff(1070,plain,
% 1.17/1.32 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(h4(e12), h1(e12)))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1069, 1064])).
% 1.17/1.32 tff(1071,plain,
% 1.17/1.32 (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(h4(e12), h1(e12)))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1070, 1063])).
% 1.17/1.32 tff(1072,plain,
% 1.17/1.32 (~(op2(h2(e12), h1(e12)) = op2(h4(e12), h1(e12)))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1071, 1062])).
% 1.17/1.32 tff(1073,plain,
% 1.17/1.32 (~(op2(h4(e12), h1(e12)) = h2(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1072, 1061])).
% 1.17/1.32 tff(1074,plain,
% 1.17/1.32 (($false | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))) <=> ((op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1075,plain,
% 1.17/1.32 ((~(h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> (~(h1(e12) = h2(e12)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1076,plain,
% 1.17/1.32 ((~(h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> (~(h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1077,plain,
% 1.17/1.32 ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> (~(h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1078,plain,
% 1.17/1.32 ((~(e20 = e21)) <=> (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1079,plain,
% 1.17/1.32 ((~(e20 = e21)) <=> (~(e20 = e21))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1080,plain,
% 1.17/1.32 ((~(e20 = e21)) & (~(e20 = e22))),
% 1.17/1.32 inference(and_elim,[status(thm)],[13])).
% 1.17/1.32 tff(1081,plain,
% 1.17/1.32 (~(e20 = e21)),
% 1.17/1.32 inference(and_elim,[status(thm)],[1080])).
% 1.17/1.32 tff(1082,plain,
% 1.17/1.32 (~(e20 = e21)),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1081, 1079])).
% 1.17/1.32 tff(1083,plain,
% 1.17/1.32 (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1082, 1078])).
% 1.17/1.32 tff(1084,plain,
% 1.17/1.32 (~(h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1083, 1077])).
% 1.17/1.32 tff(1085,plain,
% 1.17/1.32 (~(h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1084, 1076])).
% 1.17/1.32 tff(1086,plain,
% 1.17/1.32 (~(h1(e12) = h2(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1085, 1075])).
% 1.17/1.32 tff(1087,plain,
% 1.17/1.32 ((h1(e12) = h2(e12)) <=> $false),
% 1.17/1.32 inference(iff_false,[status(thm)],[1086])).
% 1.17/1.32 tff(1088,plain,
% 1.17/1.32 (((h1(e12) = h2(e12)) | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))) <=> ($false | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1087])).
% 1.17/1.32 tff(1089,plain,
% 1.17/1.32 (((h1(e12) = h2(e12)) | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))) <=> ((op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)))),
% 1.17/1.33 inference(transitivity,[status(thm)],[1088, 1074])).
% 1.17/1.33 tff(1090,plain,
% 1.17/1.33 (((h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> ((h1(e12) = h2(e12)) | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1091,plain,
% 1.17/1.33 (((h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> ((h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1092,plain,
% 1.17/1.33 ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1093,plain,
% 1.17/1.33 ((op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1094,plain,
% 1.17/1.33 ((op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1095,plain,
% 1.17/1.33 ((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1096,plain,
% 1.17/1.33 (((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.17/1.33 inference(monotonicity,[status(thm)],[1095, 1094, 1093, 1092])).
% 1.17/1.33 tff(1097,plain,
% 1.17/1.33 (((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.17/1.33 inference(transitivity,[status(thm)],[1096, 1091])).
% 1.17/1.33 tff(1098,plain,
% 1.17/1.33 (((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1099,plain,
% 1.17/1.33 (((op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1100,plain,
% 1.17/1.33 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1101,plain,
% 1.17/1.33 ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1102,plain,
% 1.17/1.33 ((op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1103,plain,
% 1.17/1.33 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1104,plain,
% 1.17/1.33 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> ((op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.17/1.33 inference(monotonicity,[status(thm)],[1103, 1102, 1101, 1100])).
% 1.17/1.34 tff(1105,plain,
% 1.17/1.34 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> ((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.17/1.34 inference(transitivity,[status(thm)],[1104, 1099])).
% 1.17/1.34 tff(1106,plain,
% 1.17/1.34 (((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1107,plain,
% 1.17/1.34 ((op2(e23, e23) = e21) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1108,plain,
% 1.17/1.34 ((op2(e23, e22) = e21) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1109,plain,
% 1.17/1.34 ((op2(e23, e21) = e21) <=> (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1110,plain,
% 1.17/1.34 ((op2(e23, e20) = e21) <=> (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1111,plain,
% 1.17/1.34 (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[1110, 1109, 1108, 1107])).
% 1.17/1.35 tff(1112,plain,
% 1.17/1.35 (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)) <=> ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(transitivity,[status(thm)],[1111, 1106])).
% 1.17/1.35 tff(1113,plain,
% 1.17/1.35 (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(1114,plain,
% 1.17/1.35 ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(1115,plain,
% 1.17/1.35 ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(1116,plain,
% 1.17/1.35 (((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)) <=> (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[1115])).
% 1.17/1.35 tff(1117,plain,
% 1.17/1.35 (((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21))),
% 1.17/1.35 inference(transitivity,[status(thm)],[1116, 1114])).
% 1.17/1.35 tff(1118,plain,
% 1.17/1.35 ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)),
% 1.17/1.35 inference(and_elim,[status(thm)],[261])).
% 1.17/1.35 tff(1119,plain,
% 1.17/1.35 ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 1.17/1.35 tff(1120,plain,
% 1.17/1.35 ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[1119, 1113])).
% 1.17/1.35 tff(1121,plain,
% 1.17/1.35 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[1120, 1112])).
% 1.17/1.35 tff(1122,plain,
% 1.17/1.35 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[1121, 1106])).
% 1.17/1.35 tff(1123,plain,
% 1.17/1.35 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.21/1.35 inference(modus_ponens,[status(thm)],[1122, 1106])).
% 1.21/1.35 tff(1124,plain,
% 1.21/1.35 ((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.21/1.35 inference(modus_ponens,[status(thm)],[1123, 1105])).
% 1.21/1.35 tff(1125,plain,
% 1.21/1.35 ((h1(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h4(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.21/1.35 inference(modus_ponens,[status(thm)],[1124, 1098])).
% 1.21/1.35 tff(1126,plain,
% 1.21/1.35 ((h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.21/1.35 inference(modus_ponens,[status(thm)],[1125, 1097])).
% 1.21/1.35 tff(1127,plain,
% 1.21/1.35 ((h1(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h4(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.21/1.35 inference(modus_ponens,[status(thm)],[1126, 1091])).
% 1.21/1.35 tff(1128,plain,
% 1.21/1.35 ((h1(e12) = h2(e12)) | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))),
% 1.21/1.35 inference(modus_ponens,[status(thm)],[1127, 1090])).
% 1.21/1.35 tff(1129,plain,
% 1.21/1.35 ((op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))),
% 1.21/1.35 inference(modus_ponens,[status(thm)],[1128, 1089])).
% 1.21/1.35 tff(1130,plain,
% 1.21/1.35 (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)),
% 1.21/1.35 inference(unit_resolution,[status(thm)],[1129, 1073, 1052])).
% 1.21/1.35 tff(1131,plain,
% 1.21/1.35 (h2(e12) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 1.21/1.35 inference(symmetry,[status(thm)],[1130])).
% 1.21/1.35 tff(1132,plain,
% 1.21/1.35 ((op1(e12, e12) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12))),
% 1.21/1.35 inference(commutativity,[status(thm)],[])).
% 1.21/1.35 tff(1133,plain,
% 1.21/1.35 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(e12, e12) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))))),
% 1.21/1.35 inference(monotonicity,[status(thm)],[812])).
% 1.21/1.35 tff(1134,plain,
% 1.21/1.35 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12))),
% 1.21/1.35 inference(transitivity,[status(thm)],[1133, 1132])).
% 1.21/1.35 tff(1135,plain,
% 1.21/1.35 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))))) <=> (~(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.35 inference(monotonicity,[status(thm)],[1134])).
% 1.21/1.36 tff(1136,plain,
% 1.21/1.36 ((~(op1(e10, e10) = op1(e13, e10))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.36 inference(rewrite,[status(thm)],[])).
% 1.21/1.36 tff(1137,plain,
% 1.21/1.36 ((~(op1(e10, e10) = op1(e13, e10))) <=> (~(op1(e10, e10) = op1(e13, e10)))),
% 1.21/1.36 inference(rewrite,[status(thm)],[])).
% 1.21/1.36 tff(1138,plain,
% 1.21/1.36 ((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))),
% 1.21/1.36 inference(and_elim,[status(thm)],[637])).
% 1.21/1.36 tff(1139,plain,
% 1.21/1.36 (((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))),
% 1.21/1.36 inference(and_elim,[status(thm)],[1138])).
% 1.21/1.36 tff(1140,plain,
% 1.21/1.36 ((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))),
% 1.21/1.36 inference(and_elim,[status(thm)],[1139])).
% 1.21/1.36 tff(1141,plain,
% 1.21/1.36 (((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))),
% 1.21/1.36 inference(and_elim,[status(thm)],[1140])).
% 1.21/1.36 tff(1142,plain,
% 1.21/1.36 ((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))),
% 1.21/1.36 inference(and_elim,[status(thm)],[1141])).
% 1.21/1.36 tff(1143,plain,
% 1.21/1.36 (((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))),
% 1.21/1.36 inference(and_elim,[status(thm)],[1142])).
% 1.21/1.36 tff(1144,plain,
% 1.21/1.36 (~(op1(e10, e10) = op1(e13, e10))),
% 1.21/1.36 inference(and_elim,[status(thm)],[1143])).
% 1.21/1.36 tff(1145,plain,
% 1.21/1.36 (~(op1(e10, e10) = op1(e13, e10))),
% 1.21/1.36 inference(modus_ponens,[status(thm)],[1144, 1137])).
% 1.21/1.36 tff(1146,plain,
% 1.21/1.36 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))))),
% 1.21/1.36 inference(modus_ponens,[status(thm)],[1145, 1136])).
% 1.21/1.36 tff(1147,plain,
% 1.21/1.36 (~(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12))),
% 1.21/1.36 inference(modus_ponens,[status(thm)],[1146, 1135])).
% 1.21/1.36 tff(1148,plain,
% 1.21/1.36 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(e12, e12))) <=> (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.21/1.36 inference(monotonicity,[status(thm)],[702])).
% 1.21/1.36 tff(1149,plain,
% 1.21/1.36 ((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> (~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12))),
% 1.21/1.36 inference(monotonicity,[status(thm)],[1148])).
% 1.21/1.36 tff(1150,plain,
% 1.21/1.36 ((~(op1(e12, e10) = op1(e12, e13))) <=> (~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.21/1.36 inference(rewrite,[status(thm)],[])).
% 1.21/1.36 tff(1151,plain,
% 1.21/1.36 ((~(op1(e12, e10) = op1(e12, e13))) <=> (~(op1(e12, e10) = op1(e12, e13)))),
% 1.21/1.36 inference(rewrite,[status(thm)],[])).
% 1.21/1.36 tff(1152,plain,
% 1.21/1.36 (~(op1(e12, e10) = op1(e12, e13))),
% 1.21/1.36 inference(and_elim,[status(thm)],[607])).
% 1.21/1.36 tff(1153,plain,
% 1.21/1.36 (~(op1(e12, e10) = op1(e12, e13))),
% 1.21/1.36 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 1.21/1.36 tff(1154,plain,
% 1.21/1.36 (~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.21/1.36 inference(modus_ponens,[status(thm)],[1153, 1150])).
% 1.21/1.36 tff(1155,plain,
% 1.21/1.36 (~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.21/1.36 inference(modus_ponens,[status(thm)],[1154, 1149])).
% 1.21/1.36 tff(1156,plain,
% 1.21/1.36 (((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.21/1.36 inference(tautology,[status(thm)],[])).
% 1.21/1.36 tff(1157,plain,
% 1.21/1.36 ((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.21/1.36 inference(unit_resolution,[status(thm)],[1156, 1155])).
% 1.21/1.36 tff(1158,plain,
% 1.21/1.36 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.36 inference(rewrite,[status(thm)],[])).
% 1.21/1.36 tff(1159,plain,
% 1.21/1.36 (((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) <=> (~((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.36 inference(rewrite,[status(thm)],[])).
% 1.21/1.36 tff(1160,plain,
% 1.21/1.36 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) <=> (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.36 inference(rewrite,[status(thm)],[])).
% 1.21/1.36 tff(1161,plain,
% 1.21/1.36 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.36 inference(monotonicity,[status(thm)],[1160, 1159])).
% 1.21/1.36 tff(1162,plain,
% 1.21/1.36 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.37 inference(transitivity,[status(thm)],[1161, 1158])).
% 1.21/1.37 tff(1163,plain,
% 1.21/1.37 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.37 inference(rewrite,[status(thm)],[])).
% 1.21/1.37 tff(1164,plain,
% 1.21/1.37 ((((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.37 inference(rewrite,[status(thm)],[])).
% 1.21/1.37 tff(1165,plain,
% 1.21/1.37 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & $true) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12))),
% 1.21/1.37 inference(rewrite,[status(thm)],[])).
% 1.21/1.37 tff(1166,plain,
% 1.21/1.37 ((~(op1(e10, e13) = op1(e13, e13))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.21/1.37 inference(rewrite,[status(thm)],[])).
% 1.21/1.37 tff(1167,plain,
% 1.21/1.37 ((~(op1(e10, e13) = op1(e13, e13))) <=> (~(op1(e10, e13) = op1(e13, e13)))),
% 1.21/1.37 inference(rewrite,[status(thm)],[])).
% 1.21/1.37 tff(1168,plain,
% 1.21/1.37 (~(op1(e10, e13) = op1(e13, e13))),
% 1.21/1.37 inference(and_elim,[status(thm)],[625])).
% 1.21/1.37 tff(1169,plain,
% 1.21/1.37 (~(op1(e10, e13) = op1(e13, e13))),
% 1.21/1.37 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 1.21/1.37 tff(1170,plain,
% 1.21/1.37 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.21/1.37 inference(modus_ponens,[status(thm)],[1169, 1166])).
% 1.21/1.37 tff(1171,plain,
% 1.21/1.37 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) <=> $false),
% 1.21/1.37 inference(iff_false,[status(thm)],[1170])).
% 1.21/1.37 tff(1172,plain,
% 1.21/1.37 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~$false)),
% 1.21/1.37 inference(monotonicity,[status(thm)],[1171])).
% 1.21/1.37 tff(1173,plain,
% 1.21/1.37 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> $true),
% 1.21/1.38 inference(transitivity,[status(thm)],[1172, 364])).
% 1.21/1.38 tff(1174,plain,
% 1.21/1.38 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & $true)),
% 1.21/1.38 inference(monotonicity,[status(thm)],[1173])).
% 1.21/1.38 tff(1175,plain,
% 1.21/1.38 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12))),
% 1.21/1.38 inference(transitivity,[status(thm)],[1174, 1165])).
% 1.21/1.38 tff(1176,plain,
% 1.21/1.38 ((((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))))) <=> (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.38 inference(monotonicity,[status(thm)],[1175])).
% 1.21/1.38 tff(1177,plain,
% 1.21/1.38 ((((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.38 inference(transitivity,[status(thm)],[1176, 1164])).
% 1.21/1.38 tff(1178,plain,
% 1.21/1.38 ((((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))))) <=> (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.38 inference(rewrite,[status(thm)],[])).
% 1.21/1.38 tff(1179,plain,
% 1.21/1.38 (((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.38 inference(rewrite,[status(thm)],[])).
% 1.21/1.38 tff(1180,plain,
% 1.21/1.38 (((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) <=> ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.38 inference(rewrite,[status(thm)],[])).
% 1.21/1.38 tff(1181,plain,
% 1.21/1.38 (((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.38 inference(rewrite,[status(thm)],[])).
% 1.21/1.38 tff(1182,plain,
% 1.21/1.38 ((((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) <=> (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.38 inference(monotonicity,[status(thm)],[1181, 1180, 1179])).
% 1.21/1.38 tff(1183,plain,
% 1.21/1.38 ((((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) <=> (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))))),
% 1.21/1.38 inference(transitivity,[status(thm)],[1182, 1178])).
% 1.21/1.38 tff(1184,plain,
% 1.21/1.38 ((((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10))))),
% 1.21/1.38 inference(rewrite,[status(thm)],[])).
% 1.21/1.38 tff(1185,plain,
% 1.21/1.38 (((((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10))))),
% 1.21/1.38 inference(rewrite,[status(thm)],[])).
% 1.21/1.38 tff(1186,plain,
% 1.21/1.38 (((((op1(e10, e10) = e10) & (~(op1(e10, e10) = e10))) | ((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))))),
% 1.21/1.38 inference(rewrite,[status(thm)],[])).
% 1.21/1.39 tff(1187,plain,
% 1.21/1.39 ((((((op1(e10, e10) = e10) & (~(op1(e10, e10) = e10))) | ((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10))))),
% 1.21/1.39 inference(monotonicity,[status(thm)],[1186])).
% 1.21/1.39 tff(1188,plain,
% 1.21/1.39 ((((((op1(e10, e10) = e10) & (~(op1(e10, e10) = e10))) | ((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10))))),
% 1.21/1.39 inference(transitivity,[status(thm)],[1187, 1185])).
% 1.21/1.39 tff(1189,plain,
% 1.21/1.39 (((((op1(e10, e10) = e10) & (~(op1(e10, e10) = e10))) | ((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))),
% 1.21/1.39 inference(and_elim,[status(thm)],[732])).
% 1.21/1.39 tff(1190,plain,
% 1.21/1.39 (((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))),
% 1.21/1.39 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 1.21/1.39 tff(1191,plain,
% 1.21/1.39 (((op1(e11, e10) = e11) & (~(op1(e10, e11) = e10))) | ((op1(e12, e10) = e12) & (~(op1(e10, e12) = e10))) | ((op1(e13, e10) = e13) & (~(op1(e10, e13) = e10)))),
% 1.21/1.39 inference(modus_ponens,[status(thm)],[1190, 1184])).
% 1.21/1.39 tff(1192,plain,
% 1.21/1.39 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.39 inference(modus_ponens,[status(thm)],[1191, 1183])).
% 1.21/1.39 tff(1193,plain,
% 1.21/1.39 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.39 inference(modus_ponens,[status(thm)],[1192, 1178])).
% 1.21/1.39 tff(1194,plain,
% 1.21/1.39 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.39 inference(modus_ponens,[status(thm)],[1193, 1177])).
% 1.21/1.39 tff(1195,plain,
% 1.21/1.39 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.40 inference(modus_ponens,[status(thm)],[1194, 1163])).
% 1.21/1.40 tff(1196,plain,
% 1.21/1.40 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.40 inference(modus_ponens,[status(thm)],[1195, 1163])).
% 1.21/1.40 tff(1197,plain,
% 1.21/1.40 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.40 inference(modus_ponens,[status(thm)],[1196, 1163])).
% 1.21/1.40 tff(1198,plain,
% 1.21/1.40 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.40 inference(modus_ponens,[status(thm)],[1197, 1163])).
% 1.21/1.40 tff(1199,plain,
% 1.21/1.40 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.40 inference(modus_ponens,[status(thm)],[1198, 1163])).
% 1.21/1.40 tff(1200,plain,
% 1.21/1.40 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.40 inference(modus_ponens,[status(thm)],[1199, 1163])).
% 1.21/1.40 tff(1201,plain,
% 1.21/1.40 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.40 inference(modus_ponens,[status(thm)],[1200, 1163])).
% 1.21/1.40 tff(1202,plain,
% 1.21/1.40 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.41 inference(modus_ponens,[status(thm)],[1201, 1163])).
% 1.21/1.41 tff(1203,plain,
% 1.21/1.41 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) & (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.41 inference(modus_ponens,[status(thm)],[1202, 1163])).
% 1.21/1.41 tff(1204,plain,
% 1.21/1.41 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))) | (~((~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.41 inference(modus_ponens,[status(thm)],[1203, 1162])).
% 1.21/1.41 tff(1205,plain,
% 1.21/1.41 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, e12)) | (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))))),
% 1.21/1.41 inference(unit_resolution,[status(thm)],[1204, 1157])).
% 1.21/1.41 tff(1206,plain,
% 1.21/1.41 (~((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.21/1.41 inference(unit_resolution,[status(thm)],[1205, 1147])).
% 1.21/1.41 tff(1207,plain,
% 1.21/1.41 (((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.21/1.41 inference(tautology,[status(thm)],[])).
% 1.21/1.41 tff(1208,plain,
% 1.21/1.41 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.21/1.41 inference(unit_resolution,[status(thm)],[1207, 1206])).
% 1.21/1.41 tff(1209,plain,
% 1.21/1.41 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.41 inference(rewrite,[status(thm)],[])).
% 1.21/1.41 tff(1210,plain,
% 1.21/1.41 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | $false | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.41 inference(rewrite,[status(thm)],[])).
% 1.21/1.41 tff(1211,plain,
% 1.21/1.41 ((~(op1(e10, e11) = op1(e10, e13))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.21/1.41 inference(rewrite,[status(thm)],[])).
% 1.21/1.41 tff(1212,plain,
% 1.21/1.41 ((~(op1(e10, e11) = op1(e10, e13))) <=> (~(op1(e10, e11) = op1(e10, e13)))),
% 1.21/1.41 inference(rewrite,[status(thm)],[])).
% 1.21/1.41 tff(1213,plain,
% 1.21/1.41 (~(op1(e10, e11) = op1(e10, e13))),
% 1.21/1.41 inference(and_elim,[status(thm)],[617])).
% 1.21/1.41 tff(1214,plain,
% 1.21/1.41 (~(op1(e10, e11) = op1(e10, e13))),
% 1.21/1.41 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 1.21/1.41 tff(1215,plain,
% 1.21/1.41 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.21/1.41 inference(modus_ponens,[status(thm)],[1214, 1211])).
% 1.21/1.41 tff(1216,plain,
% 1.21/1.41 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) <=> $false),
% 1.21/1.41 inference(iff_false,[status(thm)],[1215])).
% 1.21/1.41 tff(1217,plain,
% 1.21/1.41 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | $false | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.41 inference(monotonicity,[status(thm)],[1216])).
% 1.21/1.41 tff(1218,plain,
% 1.21/1.41 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.41 inference(transitivity,[status(thm)],[1217, 1210])).
% 1.21/1.41 tff(1219,plain,
% 1.21/1.41 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.42 inference(rewrite,[status(thm)],[])).
% 1.21/1.42 tff(1220,plain,
% 1.21/1.42 ((op1(e10, e11) = e12) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12)),
% 1.21/1.42 inference(rewrite,[status(thm)],[])).
% 1.21/1.42 tff(1221,plain,
% 1.21/1.42 ((op1(e10, e11) = e11) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.21/1.42 inference(rewrite,[status(thm)],[])).
% 1.21/1.42 tff(1222,plain,
% 1.21/1.42 ((op1(e10, e11) = e10) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.21/1.42 inference(rewrite,[status(thm)],[])).
% 1.21/1.42 tff(1223,plain,
% 1.21/1.42 (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.42 inference(monotonicity,[status(thm)],[1222, 1221, 1220, 770])).
% 1.21/1.42 tff(1224,plain,
% 1.21/1.42 (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.21/1.42 inference(transitivity,[status(thm)],[1223, 1219])).
% 1.21/1.42 tff(1225,plain,
% 1.21/1.42 (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13))),
% 1.21/1.42 inference(rewrite,[status(thm)],[])).
% 1.21/1.42 tff(1226,plain,
% 1.21/1.42 ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13))),
% 1.21/1.42 inference(rewrite,[status(thm)],[])).
% 1.21/1.42 tff(1227,plain,
% 1.21/1.42 ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12))),
% 1.21/1.42 inference(rewrite,[status(thm)],[])).
% 1.21/1.42 tff(1228,plain,
% 1.21/1.42 (((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)) <=> (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))),
% 1.21/1.42 inference(monotonicity,[status(thm)],[1227])).
% 1.21/1.42 tff(1229,plain,
% 1.21/1.42 (((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13))),
% 1.21/1.42 inference(transitivity,[status(thm)],[1228, 1226])).
% 1.21/1.42 tff(1230,plain,
% 1.21/1.42 ((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[686])).
% 1.21/1.43 tff(1231,plain,
% 1.21/1.43 (((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1230])).
% 1.21/1.43 tff(1232,plain,
% 1.21/1.43 ((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1231])).
% 1.21/1.43 tff(1233,plain,
% 1.21/1.43 (((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1232])).
% 1.21/1.43 tff(1234,plain,
% 1.21/1.43 ((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1233])).
% 1.21/1.43 tff(1235,plain,
% 1.21/1.43 (((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1234])).
% 1.21/1.43 tff(1236,plain,
% 1.21/1.43 ((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1235])).
% 1.21/1.43 tff(1237,plain,
% 1.21/1.43 (((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1236])).
% 1.21/1.43 tff(1238,plain,
% 1.21/1.43 ((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1237])).
% 1.21/1.43 tff(1239,plain,
% 1.21/1.43 (((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))),
% 1.21/1.43 inference(and_elim,[status(thm)],[1238])).
% 1.21/1.43 tff(1240,plain,
% 1.21/1.43 ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)),
% 1.21/1.43 inference(and_elim,[status(thm)],[1239])).
% 1.21/1.43 tff(1241,plain,
% 1.21/1.43 ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)),
% 1.21/1.43 inference(modus_ponens,[status(thm)],[1240, 1229])).
% 1.21/1.43 tff(1242,plain,
% 1.21/1.43 ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)),
% 1.21/1.43 inference(modus_ponens,[status(thm)],[1241, 1225])).
% 1.21/1.43 tff(1243,plain,
% 1.21/1.43 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.21/1.43 inference(modus_ponens,[status(thm)],[1242, 1224])).
% 1.21/1.43 tff(1244,plain,
% 1.21/1.43 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1243, 1219])).
% 1.30/1.44 tff(1245,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1244, 1219])).
% 1.30/1.44 tff(1246,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1245, 1218])).
% 1.30/1.44 tff(1247,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1246, 1209])).
% 1.30/1.44 tff(1248,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1247, 1209])).
% 1.30/1.44 tff(1249,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1248, 1209])).
% 1.30/1.44 tff(1250,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1249, 1209])).
% 1.30/1.44 tff(1251,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1250, 1209])).
% 1.30/1.44 tff(1252,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.44 inference(modus_ponens,[status(thm)],[1251, 1209])).
% 1.30/1.44 tff(1253,plain,
% 1.30/1.44 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1252, 1209])).
% 1.30/1.45 tff(1254,plain,
% 1.30/1.45 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1253, 1209])).
% 1.30/1.45 tff(1255,plain,
% 1.30/1.45 (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = e12),
% 1.30/1.45 inference(unit_resolution,[status(thm)],[1254, 1208, 751])).
% 1.30/1.45 tff(1256,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = h2(e12)),
% 1.30/1.45 inference(monotonicity,[status(thm)],[1255])).
% 1.30/1.45 tff(1257,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.30/1.45 inference(transitivity,[status(thm)],[1256, 1131, 901])).
% 1.30/1.45 tff(1258,plain,
% 1.30/1.45 (op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))),
% 1.30/1.45 inference(monotonicity,[status(thm)],[890, 899])).
% 1.30/1.45 tff(1259,plain,
% 1.30/1.45 (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.30/1.45 inference(symmetry,[status(thm)],[1258])).
% 1.30/1.45 tff(1260,plain,
% 1.30/1.45 (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))),
% 1.30/1.45 inference(symmetry,[status(thm)],[158])).
% 1.30/1.45 tff(1261,plain,
% 1.30/1.45 ((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) <=> (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.30/1.45 inference(rewrite,[status(thm)],[])).
% 1.30/1.45 tff(1262,plain,
% 1.30/1.45 ((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))))) <=> (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12))))),
% 1.30/1.45 inference(rewrite,[status(thm)],[])).
% 1.30/1.45 tff(1263,plain,
% 1.30/1.45 ((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) <=> (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12)))))),
% 1.30/1.45 inference(rewrite,[status(thm)],[])).
% 1.30/1.45 tff(1264,plain,
% 1.30/1.45 ((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) <=> (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))))),
% 1.30/1.45 inference(rewrite,[status(thm)],[])).
% 1.30/1.45 tff(1265,plain,
% 1.30/1.45 ((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) <=> (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 1.30/1.45 inference(rewrite,[status(thm)],[])).
% 1.30/1.45 tff(1266,plain,
% 1.30/1.45 ((h2(e11) = op2(op2(op2(e21, e21), op2(e21, e21)), op2(e21, e21))) <=> (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 1.30/1.45 inference(rewrite,[status(thm)],[])).
% 1.30/1.45 tff(1267,plain,
% 1.30/1.45 ((h2(e11) = op2(op2(op2(e21, e21), op2(e21, e21)), op2(e21, e21))) <=> (h2(e11) = op2(op2(op2(e21, e21), op2(e21, e21)), op2(e21, e21)))),
% 1.30/1.45 inference(rewrite,[status(thm)],[])).
% 1.30/1.45 tff(1268,plain,
% 1.30/1.45 (((h2(e12) = e21) & (h2(e10) = op2(op2(e21, e21), op2(e21, e21)))) & (h2(e11) = op2(op2(op2(e21, e21), op2(e21, e21)), op2(e21, e21)))),
% 1.30/1.45 inference(and_elim,[status(thm)],[955])).
% 1.30/1.45 tff(1269,plain,
% 1.30/1.45 (h2(e11) = op2(op2(op2(e21, e21), op2(e21, e21)), op2(e21, e21))),
% 1.30/1.45 inference(and_elim,[status(thm)],[1268])).
% 1.30/1.45 tff(1270,plain,
% 1.30/1.45 (h2(e11) = op2(op2(op2(e21, e21), op2(e21, e21)), op2(e21, e21))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1269, 1267])).
% 1.30/1.45 tff(1271,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1270, 1266])).
% 1.30/1.45 tff(1272,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1271, 1265])).
% 1.30/1.45 tff(1273,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1272, 1264])).
% 1.30/1.45 tff(1274,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1273, 1263])).
% 1.30/1.45 tff(1275,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1274, 1262])).
% 1.30/1.45 tff(1276,plain,
% 1.30/1.45 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))),
% 1.30/1.45 inference(modus_ponens,[status(thm)],[1275, 1261])).
% 1.30/1.45 tff(1277,plain,
% 1.30/1.45 (((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.30/1.46 inference(tautology,[status(thm)],[])).
% 1.30/1.46 tff(1278,plain,
% 1.30/1.46 (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[1277, 1206])).
% 1.30/1.46 tff(1279,plain,
% 1.30/1.46 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[1278])).
% 1.30/1.46 tff(1280,plain,
% 1.30/1.46 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.30/1.46 inference(transitivity,[status(thm)],[1279, 1276, 889, 888, 1260, 1259])).
% 1.30/1.46 tff(1281,plain,
% 1.30/1.46 (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12)) = op2(h4(e12), h2(e12))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[561])).
% 1.30/1.46 tff(1282,plain,
% 1.30/1.46 (op2(h4(e12), h2(e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))),
% 1.30/1.46 inference(symmetry,[status(thm)],[1281])).
% 1.30/1.46 tff(1283,plain,
% 1.30/1.46 (h4(e12) = op2(h4(e12), h2(e12))),
% 1.30/1.46 inference(symmetry,[status(thm)],[1045])).
% 1.30/1.46 tff(1284,plain,
% 1.30/1.46 ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))), op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))))) <=> (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(1285,plain,
% 1.30/1.46 ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))) <=> (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))), op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12)))))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(1286,plain,
% 1.30/1.46 ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))) <=> (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(1287,plain,
% 1.30/1.46 ((h2(e10) = op2(op2(e21, e21), op2(e21, e21))) <=> (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(1288,plain,
% 1.30/1.46 ((h2(e10) = op2(op2(e21, e21), op2(e21, e21))) <=> (h2(e10) = op2(op2(e21, e21), op2(e21, e21)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(1289,plain,
% 1.30/1.46 ((h2(e12) = e21) & (h2(e10) = op2(op2(e21, e21), op2(e21, e21)))),
% 1.30/1.46 inference(and_elim,[status(thm)],[1268])).
% 1.30/1.46 tff(1290,plain,
% 1.30/1.46 (h2(e10) = op2(op2(e21, e21), op2(e21, e21))),
% 1.30/1.46 inference(and_elim,[status(thm)],[1289])).
% 1.30/1.46 tff(1291,plain,
% 1.30/1.46 (h2(e10) = op2(op2(e21, e21), op2(e21, e21))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[1290, 1288])).
% 1.30/1.46 tff(1292,plain,
% 1.30/1.46 (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[1291, 1287])).
% 1.30/1.46 tff(1293,plain,
% 1.30/1.46 (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))), op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[1292, 1286])).
% 1.30/1.46 tff(1294,plain,
% 1.30/1.46 (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))), op2(op2(op2(h4(e12), h4(e12)), h4(e12)), op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[1293, 1285])).
% 1.30/1.46 tff(1295,plain,
% 1.30/1.46 (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[1294, 1284])).
% 1.30/1.46 tff(1296,plain,
% 1.30/1.46 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[812])).
% 1.30/1.46 tff(1297,plain,
% 1.30/1.46 ((op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.30/1.46 inference(symmetry,[status(thm)],[1296])).
% 1.30/1.46 tff(1298,plain,
% 1.30/1.46 ((~(op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[1297])).
% 1.30/1.46 tff(1299,plain,
% 1.30/1.46 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[588, 1298])).
% 1.30/1.46 tff(1300,plain,
% 1.30/1.46 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(1301,plain,
% 1.30/1.46 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | $false) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(1302,plain,
% 1.30/1.46 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | $false)),
% 1.30/1.47 inference(monotonicity,[status(thm)],[1171])).
% 1.30/1.47 tff(1303,plain,
% 1.30/1.47 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.30/1.47 inference(transitivity,[status(thm)],[1302, 1301])).
% 1.30/1.47 tff(1304,plain,
% 1.30/1.47 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(1305,plain,
% 1.30/1.47 ((op1(e10, e13) = e10) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(1306,plain,
% 1.30/1.47 ((op1(e10, e12) = e10) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(1307,plain,
% 1.30/1.47 ((op1(e10, e10) = e10) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(1308,plain,
% 1.30/1.47 (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[1307, 1222, 1306, 1305])).
% 1.30/1.47 tff(1309,plain,
% 1.30/1.47 (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.30/1.48 inference(transitivity,[status(thm)],[1308, 1304])).
% 1.30/1.48 tff(1310,plain,
% 1.30/1.48 (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(1311,plain,
% 1.30/1.48 ((((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(1312,plain,
% 1.30/1.48 ((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(1313,plain,
% 1.30/1.48 (((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) <=> (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[1312])).
% 1.30/1.48 tff(1314,plain,
% 1.30/1.48 (((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10))),
% 1.30/1.48 inference(transitivity,[status(thm)],[1313, 1311])).
% 1.30/1.48 tff(1315,plain,
% 1.30/1.48 (((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))),
% 1.30/1.48 inference(and_elim,[status(thm)],[804])).
% 1.30/1.48 tff(1316,plain,
% 1.30/1.48 ((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))),
% 1.30/1.48 inference(and_elim,[status(thm)],[1315])).
% 1.30/1.48 tff(1317,plain,
% 1.30/1.48 (((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))),
% 1.30/1.48 inference(and_elim,[status(thm)],[1316])).
% 1.30/1.48 tff(1318,plain,
% 1.30/1.48 ((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))),
% 1.30/1.48 inference(and_elim,[status(thm)],[1317])).
% 1.30/1.48 tff(1319,plain,
% 1.30/1.48 (((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))),
% 1.30/1.48 inference(and_elim,[status(thm)],[1318])).
% 1.30/1.48 tff(1320,plain,
% 1.30/1.48 ((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)),
% 1.30/1.48 inference(and_elim,[status(thm)],[1319])).
% 1.30/1.48 tff(1321,plain,
% 1.30/1.48 ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[1320, 1314])).
% 1.34/1.49 tff(1322,plain,
% 1.34/1.49 ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1321, 1310])).
% 1.34/1.49 tff(1323,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1322, 1309])).
% 1.34/1.49 tff(1324,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1323, 1304])).
% 1.34/1.49 tff(1325,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1324, 1304])).
% 1.34/1.49 tff(1326,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1325, 1303])).
% 1.34/1.49 tff(1327,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1326, 1300])).
% 1.34/1.49 tff(1328,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1327, 1300])).
% 1.34/1.49 tff(1329,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1328, 1300])).
% 1.34/1.49 tff(1330,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1329, 1300])).
% 1.34/1.49 tff(1331,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1330, 1300])).
% 1.34/1.49 tff(1332,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1331, 1300])).
% 1.34/1.49 tff(1333,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1332, 1300])).
% 1.34/1.49 tff(1334,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1333, 1300])).
% 1.34/1.49 tff(1335,plain,
% 1.34/1.49 (op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))),
% 1.34/1.49 inference(unit_resolution,[status(thm)],[1334, 1208, 1299])).
% 1.34/1.49 tff(1336,plain,
% 1.34/1.49 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = h2(op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[1335])).
% 1.34/1.49 tff(1337,plain,
% 1.34/1.49 (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))),
% 1.34/1.49 inference(transitivity,[status(thm)],[1336, 1295, 560, 303, 294, 1283, 1282])).
% 1.34/1.49 tff(1338,plain,
% 1.34/1.49 (op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))) = op2(h3(e12), h3(e12))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[890, 890])).
% 1.34/1.49 tff(1339,plain,
% 1.34/1.49 (op2(h3(e12), h3(e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.34/1.49 inference(symmetry,[status(thm)],[1338])).
% 1.34/1.49 tff(1340,plain,
% 1.34/1.49 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[1278])).
% 1.34/1.49 tff(1341,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(symmetry,[status(thm)],[1340])).
% 1.34/1.49 tff(1342,plain,
% 1.34/1.49 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[1341])).
% 1.34/1.49 tff(1343,plain,
% 1.34/1.49 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(modus_ponens,[status(thm)],[1170, 1342])).
% 1.34/1.49 tff(1344,plain,
% 1.34/1.49 ((op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.49 inference(commutativity,[status(thm)],[])).
% 1.34/1.49 tff(1345,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[1335])).
% 1.34/1.49 tff(1346,plain,
% 1.34/1.49 ((op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.50 inference(transitivity,[status(thm)],[1345, 1344])).
% 1.34/1.50 tff(1347,plain,
% 1.34/1.50 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.50 inference(monotonicity,[status(thm)],[1346])).
% 1.34/1.50 tff(1348,plain,
% 1.34/1.50 ((~(op1(e10, e12) = op1(e11, e12))) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1349,plain,
% 1.34/1.50 ((~(op1(e10, e12) = op1(e11, e12))) <=> (~(op1(e10, e12) = op1(e11, e12)))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1350,plain,
% 1.34/1.50 (~(op1(e10, e12) = op1(e11, e12))),
% 1.34/1.50 inference(and_elim,[status(thm)],[633])).
% 1.34/1.50 tff(1351,plain,
% 1.34/1.50 (~(op1(e10, e12) = op1(e11, e12))),
% 1.34/1.50 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 1.34/1.50 tff(1352,plain,
% 1.34/1.50 (~(op1(op1(op1(e12, e12), op1(e12, e12)), e12) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12))),
% 1.34/1.50 inference(modus_ponens,[status(thm)],[1351, 1348])).
% 1.34/1.50 tff(1353,plain,
% 1.34/1.50 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.50 inference(modus_ponens,[status(thm)],[1352, 1347])).
% 1.34/1.50 tff(1354,plain,
% 1.34/1.50 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1355,plain,
% 1.34/1.50 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | $false) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1356,plain,
% 1.34/1.50 ((~(op1(e11, e13) = op1(e13, e13))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1357,plain,
% 1.34/1.50 ((~(op1(e11, e13) = op1(e13, e13))) <=> (~(op1(e11, e13) = op1(e13, e13)))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1358,plain,
% 1.34/1.50 (~(op1(e11, e13) = op1(e13, e13))),
% 1.34/1.50 inference(and_elim,[status(thm)],[623])).
% 1.34/1.50 tff(1359,plain,
% 1.34/1.50 (~(op1(e11, e13) = op1(e13, e13))),
% 1.34/1.50 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 1.34/1.50 tff(1360,plain,
% 1.34/1.50 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.50 inference(modus_ponens,[status(thm)],[1359, 1356])).
% 1.34/1.50 tff(1361,plain,
% 1.34/1.50 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) <=> $false),
% 1.34/1.50 inference(iff_false,[status(thm)],[1360])).
% 1.34/1.50 tff(1362,plain,
% 1.34/1.50 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | $false)),
% 1.34/1.50 inference(monotonicity,[status(thm)],[1361])).
% 1.34/1.50 tff(1363,plain,
% 1.34/1.50 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.50 inference(transitivity,[status(thm)],[1362, 1355])).
% 1.34/1.50 tff(1364,plain,
% 1.34/1.50 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1365,plain,
% 1.34/1.50 ((op1(e11, e13) = e10) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1366,plain,
% 1.34/1.50 ((op1(e11, e12) = e10) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1367,plain,
% 1.34/1.50 ((op1(e11, e11) = e10) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1368,plain,
% 1.34/1.50 ((op1(e11, e10) = e10) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.50 inference(rewrite,[status(thm)],[])).
% 1.34/1.50 tff(1369,plain,
% 1.34/1.50 (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.51 inference(monotonicity,[status(thm)],[1368, 1367, 1366, 1365])).
% 1.34/1.51 tff(1370,plain,
% 1.34/1.51 (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.34/1.51 inference(transitivity,[status(thm)],[1369, 1364])).
% 1.34/1.51 tff(1371,plain,
% 1.34/1.51 (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10))),
% 1.34/1.51 inference(rewrite,[status(thm)],[])).
% 1.34/1.51 tff(1372,plain,
% 1.34/1.51 ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10))),
% 1.34/1.51 inference(rewrite,[status(thm)],[])).
% 1.34/1.51 tff(1373,plain,
% 1.34/1.51 ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10))),
% 1.34/1.51 inference(rewrite,[status(thm)],[])).
% 1.34/1.51 tff(1374,plain,
% 1.34/1.51 (((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)) <=> (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))),
% 1.34/1.51 inference(monotonicity,[status(thm)],[1373])).
% 1.34/1.51 tff(1375,plain,
% 1.34/1.51 (((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10))),
% 1.34/1.51 inference(transitivity,[status(thm)],[1374, 1372])).
% 1.34/1.51 tff(1376,plain,
% 1.34/1.51 ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)),
% 1.34/1.51 inference(and_elim,[status(thm)],[802])).
% 1.34/1.51 tff(1377,plain,
% 1.34/1.51 ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)),
% 1.34/1.51 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 1.34/1.51 tff(1378,plain,
% 1.34/1.51 ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)),
% 1.34/1.51 inference(modus_ponens,[status(thm)],[1377, 1371])).
% 1.34/1.51 tff(1379,plain,
% 1.34/1.51 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.51 inference(modus_ponens,[status(thm)],[1378, 1370])).
% 1.34/1.51 tff(1380,plain,
% 1.34/1.51 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1379, 1364])).
% 1.34/1.52 tff(1381,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1380, 1364])).
% 1.34/1.52 tff(1382,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1381, 1363])).
% 1.34/1.52 tff(1383,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1382, 1354])).
% 1.34/1.52 tff(1384,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1383, 1354])).
% 1.34/1.52 tff(1385,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1384, 1354])).
% 1.34/1.52 tff(1386,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1385, 1354])).
% 1.34/1.52 tff(1387,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1386, 1354])).
% 1.34/1.52 tff(1388,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1387, 1354])).
% 1.34/1.52 tff(1389,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1388, 1354])).
% 1.34/1.52 tff(1390,plain,
% 1.34/1.52 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1389, 1354])).
% 1.34/1.52 tff(1391,plain,
% 1.34/1.52 (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))),
% 1.34/1.52 inference(unit_resolution,[status(thm)],[1390, 1353, 1343])).
% 1.34/1.52 tff(1392,plain,
% 1.34/1.52 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = h2(op1(op1(e12, e12), op1(e12, e12)))),
% 1.34/1.52 inference(monotonicity,[status(thm)],[1391])).
% 1.34/1.52 tff(1393,plain,
% 1.34/1.52 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.34/1.52 inference(transitivity,[status(thm)],[1392, 1295, 560, 303, 294, 898, 1339])).
% 1.34/1.52 tff(1394,plain,
% 1.34/1.52 (op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12)) = op2(h3(e12), h2(e12))),
% 1.34/1.52 inference(monotonicity,[status(thm)],[890])).
% 1.34/1.52 tff(1395,plain,
% 1.34/1.52 (op2(h3(e12), h2(e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))),
% 1.34/1.52 inference(symmetry,[status(thm)],[1394])).
% 1.34/1.52 tff(1396,plain,
% 1.34/1.52 ((h2(e12) = op2(h3(e12), h1(e12))) <=> (op2(h3(e12), h1(e12)) = h2(e12))),
% 1.34/1.52 inference(commutativity,[status(thm)],[])).
% 1.34/1.52 tff(1397,plain,
% 1.34/1.52 ((op2(h2(e12), h1(e12)) = op2(h3(e12), h1(e12))) <=> (h2(e12) = op2(h3(e12), h1(e12)))),
% 1.34/1.52 inference(monotonicity,[status(thm)],[488])).
% 1.34/1.52 tff(1398,plain,
% 1.34/1.52 ((op2(h2(e12), h1(e12)) = op2(h3(e12), h1(e12))) <=> (op2(h3(e12), h1(e12)) = h2(e12))),
% 1.34/1.52 inference(transitivity,[status(thm)],[1397, 1396])).
% 1.34/1.52 tff(1399,plain,
% 1.34/1.52 ((~(op2(h2(e12), h1(e12)) = op2(h3(e12), h1(e12)))) <=> (~(op2(h3(e12), h1(e12)) = h2(e12)))),
% 1.34/1.52 inference(monotonicity,[status(thm)],[1398])).
% 1.34/1.52 tff(1400,plain,
% 1.34/1.52 ((~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(h3(e12), h1(e12)))) <=> (~(op2(h2(e12), h1(e12)) = op2(h3(e12), h1(e12))))),
% 1.34/1.52 inference(rewrite,[status(thm)],[])).
% 1.34/1.52 tff(1401,plain,
% 1.34/1.52 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(h3(e12), h1(e12)))) <=> (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(h3(e12), h1(e12))))),
% 1.34/1.52 inference(rewrite,[status(thm)],[])).
% 1.34/1.52 tff(1402,plain,
% 1.34/1.52 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(h3(e12), h1(e12))))),
% 1.34/1.52 inference(rewrite,[status(thm)],[])).
% 1.34/1.52 tff(1403,plain,
% 1.34/1.52 ((~(op2(e21, e20) = op2(e22, e20))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 1.34/1.52 inference(rewrite,[status(thm)],[])).
% 1.34/1.52 tff(1404,plain,
% 1.34/1.52 ((~(op2(e21, e20) = op2(e22, e20))) <=> (~(op2(e21, e20) = op2(e22, e20)))),
% 1.34/1.52 inference(rewrite,[status(thm)],[])).
% 1.34/1.52 tff(1405,plain,
% 1.34/1.52 (~(op2(e21, e20) = op2(e22, e20))),
% 1.34/1.52 inference(and_elim,[status(thm)],[322])).
% 1.34/1.52 tff(1406,plain,
% 1.34/1.52 (~(op2(e21, e20) = op2(e22, e20))),
% 1.34/1.52 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 1.34/1.53 tff(1407,plain,
% 1.34/1.53 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.34/1.53 inference(modus_ponens,[status(thm)],[1406, 1403])).
% 1.34/1.53 tff(1408,plain,
% 1.34/1.53 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(h3(e12), h1(e12)))),
% 1.34/1.53 inference(modus_ponens,[status(thm)],[1407, 1402])).
% 1.34/1.53 tff(1409,plain,
% 1.34/1.53 (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(h3(e12), h1(e12)))),
% 1.34/1.53 inference(modus_ponens,[status(thm)],[1408, 1401])).
% 1.34/1.53 tff(1410,plain,
% 1.34/1.53 (~(op2(h2(e12), h1(e12)) = op2(h3(e12), h1(e12)))),
% 1.34/1.53 inference(modus_ponens,[status(thm)],[1409, 1400])).
% 1.34/1.53 tff(1411,plain,
% 1.34/1.53 (~(op2(h3(e12), h1(e12)) = h2(e12))),
% 1.34/1.53 inference(modus_ponens,[status(thm)],[1410, 1399])).
% 1.34/1.53 tff(1412,plain,
% 1.34/1.53 (((h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> ((h4(e12) = h2(e12)) | (op2(h3(e12), h1(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12)))),
% 1.34/1.53 inference(rewrite,[status(thm)],[])).
% 1.34/1.53 tff(1413,plain,
% 1.34/1.53 (((h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> ((h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.34/1.53 inference(rewrite,[status(thm)],[])).
% 1.34/1.53 tff(1414,plain,
% 1.34/1.53 ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.34/1.53 inference(rewrite,[status(thm)],[])).
% 1.34/1.53 tff(1415,plain,
% 1.34/1.53 ((op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.34/1.53 inference(rewrite,[status(thm)],[])).
% 1.34/1.53 tff(1416,plain,
% 1.34/1.53 ((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.34/1.53 inference(rewrite,[status(thm)],[])).
% 1.34/1.53 tff(1417,plain,
% 1.34/1.53 (((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.34/1.53 inference(monotonicity,[status(thm)],[1416, 1415, 1414, 109])).
% 1.34/1.53 tff(1418,plain,
% 1.34/1.53 (((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.34/1.54 inference(transitivity,[status(thm)],[1417, 1413])).
% 1.34/1.54 tff(1419,plain,
% 1.34/1.54 (((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.34/1.54 inference(rewrite,[status(thm)],[])).
% 1.34/1.54 tff(1420,plain,
% 1.34/1.54 (((op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> ((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.34/1.54 inference(rewrite,[status(thm)],[])).
% 1.34/1.54 tff(1421,plain,
% 1.34/1.54 ((op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.34/1.54 inference(rewrite,[status(thm)],[])).
% 1.34/1.54 tff(1422,plain,
% 1.34/1.54 ((op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.34/1.54 inference(rewrite,[status(thm)],[])).
% 1.34/1.54 tff(1423,plain,
% 1.34/1.54 ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.34/1.54 inference(rewrite,[status(thm)],[])).
% 1.34/1.54 tff(1424,plain,
% 1.34/1.54 (((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> ((op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.34/1.54 inference(monotonicity,[status(thm)],[1423, 1422, 1421, 123])).
% 1.40/1.54 tff(1425,plain,
% 1.40/1.54 (((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> ((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.40/1.54 inference(transitivity,[status(thm)],[1424, 1420])).
% 1.40/1.54 tff(1426,plain,
% 1.40/1.54 (((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.40/1.54 inference(rewrite,[status(thm)],[])).
% 1.40/1.54 tff(1427,plain,
% 1.40/1.54 ((op2(e22, e22) = e21) <=> (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.40/1.54 inference(rewrite,[status(thm)],[])).
% 1.40/1.54 tff(1428,plain,
% 1.40/1.54 ((op2(e22, e21) = e21) <=> (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.40/1.54 inference(rewrite,[status(thm)],[])).
% 1.40/1.54 tff(1429,plain,
% 1.40/1.54 ((op2(e22, e20) = e21) <=> (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.40/1.54 inference(rewrite,[status(thm)],[])).
% 1.40/1.54 tff(1430,plain,
% 1.40/1.54 (((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21)) <=> ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.40/1.54 inference(monotonicity,[status(thm)],[1429, 1428, 1427, 130])).
% 1.40/1.54 tff(1431,plain,
% 1.40/1.54 (((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21)) <=> ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.40/1.55 inference(transitivity,[status(thm)],[1430, 1426])).
% 1.40/1.55 tff(1432,plain,
% 1.40/1.55 (((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21)) <=> ((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1433,plain,
% 1.40/1.55 ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21)) <=> ((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1434,plain,
% 1.40/1.55 ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) <=> ((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1435,plain,
% 1.40/1.55 (((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21)) <=> (((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))),
% 1.40/1.55 inference(monotonicity,[status(thm)],[1434])).
% 1.40/1.55 tff(1436,plain,
% 1.40/1.55 (((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21)) <=> ((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21))),
% 1.40/1.55 inference(transitivity,[status(thm)],[1435, 1433])).
% 1.40/1.55 tff(1437,plain,
% 1.40/1.55 ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21)),
% 1.40/1.55 inference(and_elim,[status(thm)],[269])).
% 1.40/1.55 tff(1438,plain,
% 1.40/1.55 ((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21)),
% 1.40/1.55 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 1.40/1.55 tff(1439,plain,
% 1.40/1.55 ((op2(e22, e20) = e21) | (op2(e22, e21) = e21) | (op2(e22, e22) = e21) | (op2(e22, e23) = e21)),
% 1.40/1.55 inference(modus_ponens,[status(thm)],[1438, 1432])).
% 1.40/1.55 tff(1440,plain,
% 1.40/1.55 ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.40/1.55 inference(modus_ponens,[status(thm)],[1439, 1431])).
% 1.40/1.55 tff(1441,plain,
% 1.40/1.55 ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.40/1.55 inference(modus_ponens,[status(thm)],[1440, 1426])).
% 1.40/1.55 tff(1442,plain,
% 1.40/1.55 ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.40/1.55 inference(modus_ponens,[status(thm)],[1441, 1426])).
% 1.40/1.55 tff(1443,plain,
% 1.40/1.55 ((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.41/1.55 inference(modus_ponens,[status(thm)],[1442, 1425])).
% 1.41/1.55 tff(1444,plain,
% 1.41/1.55 ((h4(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.41/1.55 inference(modus_ponens,[status(thm)],[1443, 1419])).
% 1.41/1.55 tff(1445,plain,
% 1.41/1.55 ((h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.41/1.55 inference(modus_ponens,[status(thm)],[1444, 1418])).
% 1.41/1.55 tff(1446,plain,
% 1.41/1.55 ((h4(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.41/1.55 inference(modus_ponens,[status(thm)],[1445, 1413])).
% 1.41/1.55 tff(1447,plain,
% 1.41/1.55 ((h4(e12) = h2(e12)) | (op2(h3(e12), h1(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h2(e12))),
% 1.41/1.55 inference(modus_ponens,[status(thm)],[1446, 1412])).
% 1.41/1.55 tff(1448,plain,
% 1.41/1.55 ((op2(h3(e12), h1(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h2(e12))),
% 1.41/1.55 inference(unit_resolution,[status(thm)],[1447, 93, 1051])).
% 1.41/1.55 tff(1449,plain,
% 1.41/1.55 (op2(h3(e12), h2(e12)) = h2(e12)),
% 1.41/1.55 inference(unit_resolution,[status(thm)],[1448, 1411])).
% 1.41/1.55 tff(1450,plain,
% 1.41/1.55 (h2(e12) = op2(h3(e12), h2(e12))),
% 1.41/1.55 inference(symmetry,[status(thm)],[1449])).
% 1.41/1.55 tff(1451,plain,
% 1.41/1.55 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.41/1.55 inference(commutativity,[status(thm)],[])).
% 1.41/1.55 tff(1452,plain,
% 1.41/1.55 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12))),
% 1.41/1.55 inference(monotonicity,[status(thm)],[1278])).
% 1.41/1.55 tff(1453,plain,
% 1.41/1.55 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.41/1.55 inference(transitivity,[status(thm)],[1452, 1451])).
% 1.41/1.55 tff(1454,plain,
% 1.41/1.55 ((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.41/1.55 inference(monotonicity,[status(thm)],[1453])).
% 1.41/1.55 tff(1455,plain,
% 1.41/1.55 ((~(op1(e11, e10) = op1(e11, e12))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)))),
% 1.41/1.55 inference(rewrite,[status(thm)],[])).
% 1.41/1.55 tff(1456,plain,
% 1.41/1.55 ((~(op1(e11, e10) = op1(e11, e12))) <=> (~(op1(e11, e10) = op1(e11, e12)))),
% 1.41/1.55 inference(rewrite,[status(thm)],[])).
% 1.41/1.55 tff(1457,plain,
% 1.41/1.55 (~(op1(e11, e10) = op1(e11, e12))),
% 1.41/1.56 inference(and_elim,[status(thm)],[614])).
% 1.41/1.56 tff(1458,plain,
% 1.41/1.56 (~(op1(e11, e10) = op1(e11, e12))),
% 1.41/1.56 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 1.41/1.56 tff(1459,plain,
% 1.41/1.56 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12))),
% 1.41/1.56 inference(modus_ponens,[status(thm)],[1458, 1455])).
% 1.41/1.56 tff(1460,plain,
% 1.41/1.56 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.41/1.56 inference(modus_ponens,[status(thm)],[1459, 1454])).
% 1.41/1.56 tff(1461,plain,
% 1.41/1.56 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12))),
% 1.41/1.56 inference(rewrite,[status(thm)],[])).
% 1.41/1.56 tff(1462,plain,
% 1.41/1.56 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | $false) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12))),
% 1.41/1.56 inference(rewrite,[status(thm)],[])).
% 1.41/1.56 tff(1463,plain,
% 1.41/1.56 ((~(op1(e11, e12) = op1(e12, e12))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12)))),
% 1.41/1.56 inference(rewrite,[status(thm)],[])).
% 1.41/1.56 tff(1464,plain,
% 1.41/1.56 ((~(op1(e11, e12) = op1(e12, e12))) <=> (~(op1(e11, e12) = op1(e12, e12)))),
% 1.41/1.56 inference(rewrite,[status(thm)],[])).
% 1.41/1.56 tff(1465,plain,
% 1.41/1.56 (~(op1(e11, e12) = op1(e12, e12))),
% 1.41/1.56 inference(and_elim,[status(thm)],[630])).
% 1.41/1.56 tff(1466,plain,
% 1.41/1.56 (~(op1(e11, e12) = op1(e12, e12))),
% 1.41/1.56 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 1.41/1.56 tff(1467,plain,
% 1.41/1.56 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))),
% 1.41/1.56 inference(modus_ponens,[status(thm)],[1466, 1463])).
% 1.41/1.56 tff(1468,plain,
% 1.41/1.56 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12)) <=> $false),
% 1.41/1.56 inference(iff_false,[status(thm)],[1467])).
% 1.41/1.56 tff(1469,plain,
% 1.41/1.56 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | $false)),
% 1.41/1.56 inference(monotonicity,[status(thm)],[1468])).
% 1.41/1.56 tff(1470,plain,
% 1.41/1.56 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12))),
% 1.41/1.57 inference(transitivity,[status(thm)],[1469, 1462])).
% 1.41/1.57 tff(1471,plain,
% 1.41/1.57 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12)))),
% 1.41/1.57 inference(rewrite,[status(thm)],[])).
% 1.41/1.57 tff(1472,plain,
% 1.41/1.57 ((op1(e11, e12) = e13) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))),
% 1.41/1.57 inference(rewrite,[status(thm)],[])).
% 1.41/1.57 tff(1473,plain,
% 1.41/1.57 ((op1(e11, e12) = e12) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.57 inference(rewrite,[status(thm)],[])).
% 1.41/1.57 tff(1474,plain,
% 1.41/1.57 ((op1(e11, e12) = e11) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.41/1.57 inference(rewrite,[status(thm)],[])).
% 1.41/1.57 tff(1475,plain,
% 1.41/1.57 (((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13)) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12)))),
% 1.41/1.57 inference(monotonicity,[status(thm)],[1366, 1474, 1473, 1472])).
% 1.41/1.57 tff(1476,plain,
% 1.41/1.57 (((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13)) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12)))),
% 1.41/1.57 inference(transitivity,[status(thm)],[1475, 1471])).
% 1.41/1.57 tff(1477,plain,
% 1.41/1.57 (((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13)) <=> ((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13))),
% 1.41/1.57 inference(rewrite,[status(thm)],[])).
% 1.41/1.57 tff(1478,plain,
% 1.41/1.57 ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13)) <=> ((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13))),
% 1.41/1.57 inference(rewrite,[status(thm)],[])).
% 1.41/1.57 tff(1479,plain,
% 1.41/1.57 ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) <=> ((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12))),
% 1.41/1.57 inference(rewrite,[status(thm)],[])).
% 1.41/1.57 tff(1480,plain,
% 1.41/1.57 (((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13)) <=> (((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))),
% 1.41/1.57 inference(monotonicity,[status(thm)],[1479])).
% 1.41/1.57 tff(1481,plain,
% 1.41/1.57 (((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13)) <=> ((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13))),
% 1.41/1.57 inference(transitivity,[status(thm)],[1480, 1478])).
% 1.41/1.57 tff(1482,plain,
% 1.41/1.57 ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13)),
% 1.41/1.57 inference(and_elim,[status(thm)],[1234])).
% 1.41/1.57 tff(1483,plain,
% 1.41/1.57 ((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13)),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 1.41/1.57 tff(1484,plain,
% 1.41/1.57 ((op1(e11, e12) = e10) | (op1(e11, e12) = e11) | (op1(e11, e12) = e12) | (op1(e11, e12) = e13)),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1483, 1477])).
% 1.41/1.57 tff(1485,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1484, 1476])).
% 1.41/1.57 tff(1486,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1485, 1471])).
% 1.41/1.57 tff(1487,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(e12, e12))),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1486, 1471])).
% 1.41/1.57 tff(1488,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1487, 1470])).
% 1.41/1.57 tff(1489,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1488, 1461])).
% 1.41/1.57 tff(1490,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1489, 1461])).
% 1.41/1.57 tff(1491,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1490, 1461])).
% 1.41/1.57 tff(1492,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.57 inference(modus_ponens,[status(thm)],[1491, 1461])).
% 1.41/1.57 tff(1493,plain,
% 1.41/1.57 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.58 inference(modus_ponens,[status(thm)],[1492, 1461])).
% 1.41/1.58 tff(1494,plain,
% 1.41/1.58 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.58 inference(modus_ponens,[status(thm)],[1493, 1461])).
% 1.41/1.58 tff(1495,plain,
% 1.41/1.58 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.58 inference(modus_ponens,[status(thm)],[1494, 1461])).
% 1.41/1.58 tff(1496,plain,
% 1.41/1.58 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12)),
% 1.41/1.58 inference(modus_ponens,[status(thm)],[1495, 1461])).
% 1.41/1.58 tff(1497,plain,
% 1.41/1.58 (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12) = e12),
% 1.41/1.58 inference(unit_resolution,[status(thm)],[1496, 1353, 1460])).
% 1.41/1.58 tff(1498,plain,
% 1.41/1.58 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = h2(e12)),
% 1.41/1.58 inference(monotonicity,[status(thm)],[1497])).
% 1.41/1.58 tff(1499,plain,
% 1.41/1.58 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))),
% 1.41/1.58 inference(transitivity,[status(thm)],[1498, 1450, 1395])).
% 1.41/1.58 tff(1500,plain,
% 1.41/1.58 (op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) = op2(h2(e12), h4(e12))),
% 1.41/1.58 inference(monotonicity,[status(thm)],[561])).
% 1.41/1.58 tff(1501,plain,
% 1.41/1.58 (op2(h2(e12), h4(e12)) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.41/1.58 inference(symmetry,[status(thm)],[1500])).
% 1.41/1.58 tff(1502,plain,
% 1.41/1.58 (h4(e12) = op2(h2(e12), h4(e12))),
% 1.41/1.58 inference(symmetry,[status(thm)],[948])).
% 1.41/1.58 tff(1503,plain,
% 1.41/1.58 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.41/1.58 inference(rewrite,[status(thm)],[])).
% 1.41/1.58 tff(1504,plain,
% 1.41/1.58 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | $false) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.41/1.58 inference(rewrite,[status(thm)],[])).
% 1.41/1.58 tff(1505,plain,
% 1.41/1.58 ((~(op1(e13, e10) = op1(e13, e13))) <=> (~(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.41/1.58 inference(rewrite,[status(thm)],[])).
% 1.41/1.58 tff(1506,plain,
% 1.41/1.58 ((~(op1(e13, e10) = op1(e13, e13))) <=> (~(op1(e13, e10) = op1(e13, e13)))),
% 1.41/1.58 inference(rewrite,[status(thm)],[])).
% 1.41/1.58 tff(1507,plain,
% 1.41/1.58 (~(op1(e13, e10) = op1(e13, e13))),
% 1.41/1.58 inference(and_elim,[status(thm)],[601])).
% 1.41/1.59 tff(1508,plain,
% 1.41/1.59 (~(op1(e13, e10) = op1(e13, e13))),
% 1.41/1.59 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 1.41/1.59 tff(1509,plain,
% 1.41/1.59 (~(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.59 inference(modus_ponens,[status(thm)],[1508, 1505])).
% 1.41/1.59 tff(1510,plain,
% 1.41/1.59 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) <=> $false),
% 1.41/1.59 inference(iff_false,[status(thm)],[1509])).
% 1.41/1.59 tff(1511,plain,
% 1.41/1.59 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | $false)),
% 1.41/1.59 inference(monotonicity,[status(thm)],[1510])).
% 1.41/1.59 tff(1512,plain,
% 1.41/1.59 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.41/1.59 inference(transitivity,[status(thm)],[1511, 1504])).
% 1.41/1.59 tff(1513,plain,
% 1.41/1.59 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.41/1.59 inference(rewrite,[status(thm)],[])).
% 1.41/1.59 tff(1514,plain,
% 1.41/1.59 ((op1(e13, e10) = e10) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.59 inference(rewrite,[status(thm)],[])).
% 1.41/1.59 tff(1515,plain,
% 1.41/1.59 ((op1(e12, e10) = e10) <=> (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.59 inference(rewrite,[status(thm)],[])).
% 1.41/1.59 tff(1516,plain,
% 1.41/1.59 (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.41/1.59 inference(monotonicity,[status(thm)],[1307, 1368, 1515, 1514])).
% 1.41/1.59 tff(1517,plain,
% 1.41/1.59 (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 1.41/1.59 inference(transitivity,[status(thm)],[1516, 1513])).
% 1.41/1.59 tff(1518,plain,
% 1.41/1.59 (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10))),
% 1.41/1.59 inference(rewrite,[status(thm)],[])).
% 1.41/1.59 tff(1519,plain,
% 1.41/1.59 ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10))),
% 1.41/1.59 inference(rewrite,[status(thm)],[])).
% 1.41/1.59 tff(1520,plain,
% 1.41/1.59 ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10))),
% 1.41/1.59 inference(rewrite,[status(thm)],[])).
% 1.41/1.59 tff(1521,plain,
% 1.41/1.59 (((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)) <=> (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))),
% 1.41/1.59 inference(monotonicity,[status(thm)],[1520])).
% 1.41/1.59 tff(1522,plain,
% 1.41/1.59 (((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10))),
% 1.41/1.59 inference(transitivity,[status(thm)],[1521, 1519])).
% 1.41/1.59 tff(1523,plain,
% 1.41/1.59 ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)),
% 1.41/1.59 inference(and_elim,[status(thm)],[1319])).
% 1.41/1.59 tff(1524,plain,
% 1.41/1.59 ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)),
% 1.41/1.59 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 1.41/1.59 tff(1525,plain,
% 1.41/1.59 ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)),
% 1.41/1.59 inference(modus_ponens,[status(thm)],[1524, 1518])).
% 1.41/1.59 tff(1526,plain,
% 1.41/1.59 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.59 inference(modus_ponens,[status(thm)],[1525, 1517])).
% 1.41/1.59 tff(1527,plain,
% 1.41/1.59 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.59 inference(modus_ponens,[status(thm)],[1526, 1513])).
% 1.41/1.59 tff(1528,plain,
% 1.41/1.59 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.59 inference(modus_ponens,[status(thm)],[1527, 1513])).
% 1.41/1.59 tff(1529,plain,
% 1.41/1.59 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1528, 1512])).
% 1.41/1.60 tff(1530,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1529, 1503])).
% 1.41/1.60 tff(1531,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1530, 1503])).
% 1.41/1.60 tff(1532,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1531, 1503])).
% 1.41/1.60 tff(1533,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1532, 1503])).
% 1.41/1.60 tff(1534,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1533, 1503])).
% 1.41/1.60 tff(1535,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1534, 1503])).
% 1.41/1.60 tff(1536,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1535, 1503])).
% 1.41/1.60 tff(1537,plain,
% 1.41/1.60 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1536, 1503])).
% 1.41/1.60 tff(1538,plain,
% 1.41/1.60 (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))),
% 1.41/1.60 inference(unit_resolution,[status(thm)],[1537, 1343, 1299])).
% 1.41/1.60 tff(1539,plain,
% 1.41/1.60 (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = h2(op1(op1(e12, e12), op1(e12, e12)))),
% 1.41/1.60 inference(monotonicity,[status(thm)],[1538])).
% 1.41/1.60 tff(1540,plain,
% 1.41/1.60 (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.41/1.60 inference(transitivity,[status(thm)],[1539, 1295, 560, 303, 294, 1502, 1501])).
% 1.41/1.60 tff(1541,plain,
% 1.41/1.60 (op2(h2(e12), h2(e12)) = h1(e12)),
% 1.41/1.60 inference(transitivity,[status(thm)],[963, 559])).
% 1.41/1.60 tff(1542,plain,
% 1.41/1.60 (op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12))) = op2(h3(e12), h1(e12))),
% 1.41/1.60 inference(monotonicity,[status(thm)],[890, 1541])).
% 1.41/1.60 tff(1543,plain,
% 1.41/1.60 (op2(h3(e12), h1(e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12)))),
% 1.41/1.60 inference(symmetry,[status(thm)],[1542])).
% 1.41/1.60 tff(1544,plain,
% 1.41/1.60 (((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(rewrite,[status(thm)],[])).
% 1.41/1.60 tff(1545,plain,
% 1.41/1.60 (((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(rewrite,[status(thm)],[])).
% 1.41/1.60 tff(1546,plain,
% 1.41/1.60 (((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(monotonicity,[status(thm)],[511])).
% 1.41/1.60 tff(1547,plain,
% 1.41/1.60 (((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(transitivity,[status(thm)],[1546, 1545])).
% 1.41/1.60 tff(1548,plain,
% 1.41/1.60 (((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(rewrite,[status(thm)],[])).
% 1.41/1.60 tff(1549,plain,
% 1.41/1.60 (($false | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(rewrite,[status(thm)],[])).
% 1.41/1.60 tff(1550,plain,
% 1.41/1.60 ((~(op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~(op2(h4(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(rewrite,[status(thm)],[])).
% 1.41/1.60 tff(1551,plain,
% 1.41/1.60 ((~(op2(e23, e20) = op2(e23, e23))) <=> (~(op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.41/1.60 inference(rewrite,[status(thm)],[])).
% 1.41/1.60 tff(1552,plain,
% 1.41/1.60 ((~(op2(e23, e20) = op2(e23, e23))) <=> (~(op2(e23, e20) = op2(e23, e23)))),
% 1.41/1.60 inference(rewrite,[status(thm)],[])).
% 1.41/1.60 tff(1553,plain,
% 1.41/1.60 (~(op2(e23, e20) = op2(e23, e23))),
% 1.41/1.60 inference(and_elim,[status(thm)],[34])).
% 1.41/1.60 tff(1554,plain,
% 1.41/1.60 (~(op2(e23, e20) = op2(e23, e23))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1553, 1552])).
% 1.41/1.60 tff(1555,plain,
% 1.41/1.60 (~(op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1554, 1551])).
% 1.41/1.60 tff(1556,plain,
% 1.41/1.60 (~(op2(h4(e12), h1(e12)) = h1(e12))),
% 1.41/1.60 inference(modus_ponens,[status(thm)],[1555, 1550])).
% 1.41/1.60 tff(1557,plain,
% 1.41/1.60 ((op2(h4(e12), h1(e12)) = h1(e12)) <=> $false),
% 1.41/1.60 inference(iff_false,[status(thm)],[1556])).
% 1.41/1.60 tff(1558,plain,
% 1.41/1.60 (((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))) <=> ($false | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.41/1.60 inference(monotonicity,[status(thm)],[1557, 518, 426])).
% 1.41/1.60 tff(1559,plain,
% 1.41/1.60 (((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))) <=> ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.41/1.61 inference(transitivity,[status(thm)],[1558, 1549])).
% 1.41/1.61 tff(1560,plain,
% 1.41/1.61 (((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))) <=> ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12)))),
% 1.41/1.61 inference(rewrite,[status(thm)],[])).
% 1.41/1.61 tff(1561,plain,
% 1.41/1.61 (((h1(op1(e12, e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12))) <=> ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12)))),
% 1.41/1.61 inference(rewrite,[status(thm)],[])).
% 1.41/1.61 tff(1562,plain,
% 1.41/1.61 ((op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(h4(e12), h1(e12)) = h1(e12))),
% 1.41/1.61 inference(rewrite,[status(thm)],[])).
% 1.41/1.61 tff(1563,plain,
% 1.41/1.61 ((op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), h1(e12)) = h1(e12))),
% 1.41/1.61 inference(rewrite,[status(thm)],[])).
% 1.41/1.61 tff(1564,plain,
% 1.41/1.61 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)))),
% 1.41/1.61 inference(monotonicity,[status(thm)],[436, 529, 1563, 1562])).
% 1.41/1.61 tff(1565,plain,
% 1.41/1.61 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12)))),
% 1.41/1.61 inference(transitivity,[status(thm)],[1564, 1561])).
% 1.41/1.61 tff(1566,plain,
% 1.41/1.61 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.41/1.62 inference(rewrite,[status(thm)],[])).
% 1.41/1.62 tff(1567,plain,
% 1.41/1.62 ((op2(e23, e20) = e20) <=> (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.41/1.62 inference(rewrite,[status(thm)],[])).
% 1.41/1.62 tff(1568,plain,
% 1.41/1.62 ((op2(e22, e20) = e20) <=> (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.41/1.62 inference(rewrite,[status(thm)],[])).
% 1.41/1.62 tff(1569,plain,
% 1.41/1.62 (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.41/1.62 inference(monotonicity,[status(thm)],[443, 536, 1568, 1567])).
% 1.41/1.62 tff(1570,plain,
% 1.41/1.62 (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.41/1.62 inference(transitivity,[status(thm)],[1569, 1566])).
% 1.41/1.62 tff(1571,plain,
% 1.41/1.62 (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20))),
% 1.41/1.62 inference(rewrite,[status(thm)],[])).
% 1.41/1.62 tff(1572,plain,
% 1.41/1.62 ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20))),
% 1.41/1.62 inference(rewrite,[status(thm)],[])).
% 1.41/1.62 tff(1573,plain,
% 1.41/1.62 ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20))),
% 1.41/1.62 inference(rewrite,[status(thm)],[])).
% 1.41/1.62 tff(1574,plain,
% 1.41/1.62 (((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)) <=> (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))),
% 1.41/1.62 inference(monotonicity,[status(thm)],[1573])).
% 1.41/1.62 tff(1575,plain,
% 1.41/1.62 (((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20))),
% 1.41/1.62 inference(transitivity,[status(thm)],[1574, 1572])).
% 1.41/1.62 tff(1576,plain,
% 1.41/1.62 ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)),
% 1.47/1.62 inference(and_elim,[status(thm)],[455])).
% 1.47/1.62 tff(1577,plain,
% 1.47/1.62 ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 1.47/1.62 tff(1578,plain,
% 1.47/1.62 ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1577, 1571])).
% 1.47/1.62 tff(1579,plain,
% 1.47/1.62 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1578, 1570])).
% 1.47/1.62 tff(1580,plain,
% 1.47/1.62 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1579, 1566])).
% 1.47/1.62 tff(1581,plain,
% 1.47/1.62 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1580, 1566])).
% 1.47/1.62 tff(1582,plain,
% 1.47/1.62 ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1581, 1565])).
% 1.47/1.62 tff(1583,plain,
% 1.47/1.62 ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = h1(e12)) | (h1(op1(e12, e12)) = h1(e12))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1582, 1560])).
% 1.47/1.62 tff(1584,plain,
% 1.47/1.62 ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1583, 1559])).
% 1.47/1.62 tff(1585,plain,
% 1.47/1.62 ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1584, 1548])).
% 1.47/1.62 tff(1586,plain,
% 1.47/1.62 ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1585, 1547])).
% 1.47/1.62 tff(1587,plain,
% 1.47/1.62 ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1586, 1544])).
% 1.47/1.62 tff(1588,plain,
% 1.47/1.62 ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.47/1.62 inference(modus_ponens,[status(thm)],[1587, 1544])).
% 1.47/1.62 tff(1589,plain,
% 1.47/1.62 ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1588, 1544])).
% 1.47/1.63 tff(1590,plain,
% 1.47/1.63 ((op2(h3(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1589, 1544])).
% 1.47/1.63 tff(1591,plain,
% 1.47/1.63 (op2(h3(e12), h1(e12)) = h1(e12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1590, 492, 309])).
% 1.47/1.63 tff(1592,plain,
% 1.47/1.63 (h1(e12) = op2(h3(e12), h1(e12))),
% 1.47/1.63 inference(symmetry,[status(thm)],[1591])).
% 1.47/1.63 tff(1593,plain,
% 1.47/1.63 (((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1594,plain,
% 1.47/1.63 (($false | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | $false) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1595,plain,
% 1.47/1.63 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) <=> $false),
% 1.47/1.63 inference(iff_false,[status(thm)],[587])).
% 1.47/1.63 tff(1596,plain,
% 1.47/1.63 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))) <=> ($false | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | $false)),
% 1.47/1.63 inference(monotonicity,[status(thm)],[758, 1595])).
% 1.47/1.63 tff(1597,plain,
% 1.47/1.63 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)))),
% 1.47/1.63 inference(transitivity,[status(thm)],[1596, 1594])).
% 1.47/1.63 tff(1598,plain,
% 1.47/1.63 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1599,plain,
% 1.47/1.63 ((op1(e13, e13) = e13) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1600,plain,
% 1.47/1.63 ((op1(e11, e13) = e13) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1601,plain,
% 1.47/1.63 (((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 1.47/1.63 inference(monotonicity,[status(thm)],[768, 1600, 671, 1599])).
% 1.47/1.63 tff(1602,plain,
% 1.47/1.63 (((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 1.47/1.63 inference(transitivity,[status(thm)],[1601, 1598])).
% 1.47/1.63 tff(1603,plain,
% 1.47/1.63 (((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13)) <=> ((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1604,plain,
% 1.47/1.63 ((((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13)) | (op1(e13, e13) = e13)) <=> ((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1605,plain,
% 1.47/1.63 ((((op1(e10, e13) = e13) | (op1(e11, e13) = e13)) | (op1(e12, e13) = e13)) <=> ((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(1606,plain,
% 1.47/1.63 (((((op1(e10, e13) = e13) | (op1(e11, e13) = e13)) | (op1(e12, e13) = e13)) | (op1(e13, e13) = e13)) <=> (((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13)) | (op1(e13, e13) = e13))),
% 1.47/1.63 inference(monotonicity,[status(thm)],[1605])).
% 1.47/1.63 tff(1607,plain,
% 1.47/1.63 (((((op1(e10, e13) = e13) | (op1(e11, e13) = e13)) | (op1(e12, e13) = e13)) | (op1(e13, e13) = e13)) <=> ((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13))),
% 1.47/1.63 inference(transitivity,[status(thm)],[1606, 1604])).
% 1.47/1.63 tff(1608,plain,
% 1.47/1.63 ((((op1(e10, e13) = e13) | (op1(e11, e13) = e13)) | (op1(e12, e13) = e13)) | (op1(e13, e13) = e13)),
% 1.47/1.63 inference(and_elim,[status(thm)],[779])).
% 1.47/1.63 tff(1609,plain,
% 1.47/1.63 ((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13)),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 1.47/1.63 tff(1610,plain,
% 1.47/1.63 ((op1(e10, e13) = e13) | (op1(e11, e13) = e13) | (op1(e12, e13) = e13) | (op1(e13, e13) = e13)),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1609, 1603])).
% 1.47/1.63 tff(1611,plain,
% 1.47/1.63 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1610, 1602])).
% 1.47/1.63 tff(1612,plain,
% 1.47/1.63 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1611, 1598])).
% 1.47/1.63 tff(1613,plain,
% 1.47/1.63 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1612, 1598])).
% 1.47/1.63 tff(1614,plain,
% 1.47/1.63 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1613, 1597])).
% 1.47/1.63 tff(1615,plain,
% 1.47/1.63 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1614, 1593])).
% 1.47/1.63 tff(1616,plain,
% 1.47/1.63 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1615, 1593])).
% 1.47/1.63 tff(1617,plain,
% 1.47/1.63 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1616, 1593])).
% 1.47/1.63 tff(1618,plain,
% 1.47/1.63 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[1617, 1593])).
% 1.47/1.63 tff(1619,plain,
% 1.47/1.63 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1618, 1593])).
% 1.47/1.64 tff(1620,plain,
% 1.47/1.64 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1619, 1593])).
% 1.47/1.64 tff(1621,plain,
% 1.47/1.64 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1620, 1593])).
% 1.47/1.64 tff(1622,plain,
% 1.47/1.64 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) | (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1621, 1593])).
% 1.47/1.64 tff(1623,plain,
% 1.47/1.64 (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1622, 651])).
% 1.47/1.64 tff(1624,plain,
% 1.47/1.64 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = h2(op1(e12, e12))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[1623])).
% 1.47/1.64 tff(1625,plain,
% 1.47/1.64 (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12)))),
% 1.47/1.64 inference(transitivity,[status(thm)],[1624, 559, 1592, 1543])).
% 1.47/1.64 tff(1626,plain,
% 1.47/1.64 (op2(h2(e12), op2(h2(e12), h2(e12))) = op2(h2(e12), h1(e12))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[1541])).
% 1.47/1.64 tff(1627,plain,
% 1.47/1.64 (op2(h2(e12), h1(e12)) = op2(h2(e12), op2(h2(e12), h2(e12)))),
% 1.47/1.64 inference(symmetry,[status(thm)],[1626])).
% 1.47/1.64 tff(1628,plain,
% 1.47/1.64 (h2(e12) = op2(h2(e12), h1(e12))),
% 1.47/1.64 inference(symmetry,[status(thm)],[488])).
% 1.47/1.64 tff(1629,plain,
% 1.47/1.64 (h2(op1(e12, op1(e12, e12))) = h2(e12)),
% 1.47/1.64 inference(monotonicity,[status(thm)],[702])).
% 1.47/1.64 tff(1630,plain,
% 1.47/1.64 (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12)))),
% 1.47/1.64 inference(transitivity,[status(thm)],[1629, 1628, 1627])).
% 1.47/1.64 tff(1631,plain,
% 1.47/1.64 (op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))) = op2(h2(e12), h3(e12))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[890])).
% 1.47/1.64 tff(1632,plain,
% 1.47/1.64 (op2(h2(e12), h3(e12)) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.47/1.64 inference(symmetry,[status(thm)],[1631])).
% 1.47/1.64 tff(1633,plain,
% 1.47/1.64 ((h2(e12) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h2(e12))),
% 1.47/1.64 inference(commutativity,[status(thm)],[])).
% 1.47/1.64 tff(1634,plain,
% 1.47/1.64 ((op2(h2(e12), h1(e12)) = op2(h2(e12), h3(e12))) <=> (h2(e12) = op2(h2(e12), h3(e12)))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[488])).
% 1.47/1.64 tff(1635,plain,
% 1.47/1.64 ((op2(h2(e12), h1(e12)) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h2(e12))),
% 1.47/1.64 inference(transitivity,[status(thm)],[1634, 1633])).
% 1.47/1.64 tff(1636,plain,
% 1.47/1.64 ((~(op2(h2(e12), h1(e12)) = op2(h2(e12), h3(e12)))) <=> (~(op2(h2(e12), h3(e12)) = h2(e12)))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[1635])).
% 1.47/1.64 tff(1637,plain,
% 1.47/1.64 ((~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)))) <=> (~(op2(h2(e12), h1(e12)) = op2(h2(e12), h3(e12))))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1638,plain,
% 1.47/1.64 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)))) <=> (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12))))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1639,plain,
% 1.47/1.64 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12))))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1640,plain,
% 1.47/1.64 ((~(op2(e21, e20) = op2(e21, e22))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12))))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1641,plain,
% 1.47/1.64 ((~(op2(e21, e20) = op2(e21, e22))) <=> (~(op2(e21, e20) = op2(e21, e22)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1642,plain,
% 1.47/1.64 (~(op2(e21, e20) = op2(e21, e22))),
% 1.47/1.64 inference(and_elim,[status(thm)],[47])).
% 1.47/1.64 tff(1643,plain,
% 1.47/1.64 (~(op2(e21, e20) = op2(e21, e22))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 1.47/1.64 tff(1644,plain,
% 1.47/1.64 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1643, 1640])).
% 1.47/1.64 tff(1645,plain,
% 1.47/1.64 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h1(e12)) = op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1644, 1639])).
% 1.47/1.64 tff(1646,plain,
% 1.47/1.64 (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h1(e12)) = op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1645, 1638])).
% 1.47/1.64 tff(1647,plain,
% 1.47/1.64 (~(op2(h2(e12), h1(e12)) = op2(h2(e12), h3(e12)))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1646, 1637])).
% 1.47/1.64 tff(1648,plain,
% 1.47/1.64 (~(op2(h2(e12), h3(e12)) = h2(e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1647, 1636])).
% 1.47/1.64 tff(1649,plain,
% 1.47/1.64 (((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1650,plain,
% 1.47/1.64 (($false | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1651,plain,
% 1.47/1.64 ((~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12))) <=> (~(op2(h2(e12), h3(e12)) = h4(e12)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1652,plain,
% 1.47/1.64 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12))) <=> (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1653,plain,
% 1.47/1.64 ((~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1654,plain,
% 1.47/1.64 ((~(op2(e21, e22) = op2(e22, e22))) <=> (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1655,plain,
% 1.47/1.64 ((~(op2(e21, e22) = op2(e22, e22))) <=> (~(op2(e21, e22) = op2(e22, e22)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(1656,plain,
% 1.47/1.64 (~(op2(e21, e22) = op2(e22, e22))),
% 1.47/1.64 inference(and_elim,[status(thm)],[63])).
% 1.47/1.64 tff(1657,plain,
% 1.47/1.64 (~(op2(e21, e22) = op2(e22, e22))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 1.47/1.64 tff(1658,plain,
% 1.47/1.64 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1657, 1654])).
% 1.47/1.64 tff(1659,plain,
% 1.47/1.64 (~(op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1658, 1653])).
% 1.47/1.64 tff(1660,plain,
% 1.47/1.64 (~(op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1659, 1652])).
% 1.47/1.64 tff(1661,plain,
% 1.47/1.64 (~(op2(h2(e12), h3(e12)) = h4(e12))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[1660, 1651])).
% 1.47/1.64 tff(1662,plain,
% 1.47/1.65 ((op2(h2(e12), h3(e12)) = h4(e12)) <=> $false),
% 1.47/1.65 inference(iff_false,[status(thm)],[1661])).
% 1.47/1.65 tff(1663,plain,
% 1.47/1.65 (((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ($false | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(monotonicity,[status(thm)],[1662])).
% 1.47/1.65 tff(1664,plain,
% 1.47/1.65 (((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(transitivity,[status(thm)],[1663, 1650])).
% 1.47/1.65 tff(1665,plain,
% 1.47/1.65 (((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1666,plain,
% 1.47/1.65 (((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1667,plain,
% 1.47/1.65 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) <=> (op2(h2(e12), h3(e12)) = h3(e12))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1668,plain,
% 1.47/1.65 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) <=> (op2(h2(e12), h3(e12)) = h4(e12))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1669,plain,
% 1.47/1.65 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) <=> (op2(h2(e12), h3(e12)) = h2(e12))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1670,plain,
% 1.47/1.65 (((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(monotonicity,[status(thm)],[1669, 1668, 1667, 513])).
% 1.47/1.65 tff(1671,plain,
% 1.47/1.65 (((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(transitivity,[status(thm)],[1670, 1666])).
% 1.47/1.65 tff(1672,plain,
% 1.47/1.65 (((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12))) <=> ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1673,plain,
% 1.47/1.65 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1674,plain,
% 1.47/1.65 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1675,plain,
% 1.47/1.65 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1676,plain,
% 1.47/1.65 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12))) <=> ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(monotonicity,[status(thm)],[1675, 1674, 1673, 520])).
% 1.47/1.65 tff(1677,plain,
% 1.47/1.65 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12))) <=> ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(transitivity,[status(thm)],[1676, 1672])).
% 1.47/1.65 tff(1678,plain,
% 1.47/1.65 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1679,plain,
% 1.47/1.65 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1680,plain,
% 1.47/1.65 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(1681,plain,
% 1.47/1.65 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(1682,plain,
% 1.47/1.66 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(1683,plain,
% 1.47/1.66 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)))),
% 1.47/1.66 inference(monotonicity,[status(thm)],[527, 1682, 1681, 1680])).
% 1.47/1.66 tff(1684,plain,
% 1.47/1.66 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12)))),
% 1.47/1.66 inference(transitivity,[status(thm)],[1683, 1679])).
% 1.47/1.66 tff(1685,plain,
% 1.47/1.66 (((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(1686,plain,
% 1.47/1.66 ((op2(e21, e22) = e23) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.52/1.67 tff(1687,plain,
% 1.52/1.67 ((op2(e21, e22) = e22) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12))),
% 1.52/1.67 inference(rewrite,[status(thm)],[])).
% 1.52/1.67 tff(1688,plain,
% 1.52/1.67 ((op2(e21, e22) = e21) <=> (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.52/1.67 inference(rewrite,[status(thm)],[])).
% 1.52/1.67 tff(1689,plain,
% 1.52/1.67 (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.52/1.67 inference(monotonicity,[status(thm)],[534, 1688, 1687, 1686])).
% 1.52/1.67 tff(1690,plain,
% 1.52/1.67 (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)) <=> ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.52/1.67 inference(transitivity,[status(thm)],[1689, 1685])).
% 1.52/1.67 tff(1691,plain,
% 1.52/1.67 (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23))),
% 1.52/1.67 inference(rewrite,[status(thm)],[])).
% 1.52/1.67 tff(1692,plain,
% 1.52/1.67 ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23))),
% 1.52/1.67 inference(rewrite,[status(thm)],[])).
% 1.52/1.67 tff(1693,plain,
% 1.52/1.67 ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22))),
% 1.52/1.67 inference(rewrite,[status(thm)],[])).
% 1.52/1.67 tff(1694,plain,
% 1.52/1.67 (((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)) <=> (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))),
% 1.52/1.67 inference(monotonicity,[status(thm)],[1693])).
% 1.52/1.67 tff(1695,plain,
% 1.52/1.67 (((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23))),
% 1.52/1.67 inference(transitivity,[status(thm)],[1694, 1692])).
% 1.52/1.67 tff(1696,plain,
% 1.52/1.67 ((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))),
% 1.52/1.68 inference(and_elim,[status(thm)],[143])).
% 1.52/1.68 tff(1697,plain,
% 1.52/1.68 (((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))),
% 1.52/1.68 inference(and_elim,[status(thm)],[1696])).
% 1.52/1.68 tff(1698,plain,
% 1.52/1.68 ((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))),
% 1.52/1.68 inference(and_elim,[status(thm)],[1697])).
% 1.52/1.68 tff(1699,plain,
% 1.52/1.68 (((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))),
% 1.52/1.68 inference(and_elim,[status(thm)],[1698])).
% 1.52/1.68 tff(1700,plain,
% 1.52/1.68 ((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))),
% 1.52/1.68 inference(and_elim,[status(thm)],[1699])).
% 1.52/1.68 tff(1701,plain,
% 1.52/1.68 ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)),
% 1.52/1.68 inference(and_elim,[status(thm)],[1700])).
% 1.52/1.68 tff(1702,plain,
% 1.52/1.68 ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1701, 1695])).
% 1.52/1.68 tff(1703,plain,
% 1.52/1.68 ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1702, 1691])).
% 1.52/1.68 tff(1704,plain,
% 1.52/1.68 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1703, 1690])).
% 1.52/1.68 tff(1705,plain,
% 1.52/1.68 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1704, 1685])).
% 1.52/1.68 tff(1706,plain,
% 1.52/1.68 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1705, 1685])).
% 1.52/1.68 tff(1707,plain,
% 1.52/1.68 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1706, 1684])).
% 1.52/1.68 tff(1708,plain,
% 1.52/1.68 ((op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)), h3(e12)) = h1(e12))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1707, 1678])).
% 1.52/1.68 tff(1709,plain,
% 1.52/1.68 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[1708, 1677])).
% 1.52/1.68 tff(1710,plain,
% 1.52/1.68 ((op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h4(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h3(e12)) | (op2(op2(op2(h4(e12), h4(e12)), h4(e12)), h3(e12)) = h1(e12))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1709, 1672])).
% 1.52/1.69 tff(1711,plain,
% 1.52/1.69 ((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1710, 1671])).
% 1.52/1.69 tff(1712,plain,
% 1.52/1.69 ((op2(h2(e12), h3(e12)) = h4(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1711, 1665])).
% 1.52/1.69 tff(1713,plain,
% 1.52/1.69 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1712, 1664])).
% 1.52/1.69 tff(1714,plain,
% 1.52/1.69 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1713, 1649])).
% 1.52/1.69 tff(1715,plain,
% 1.52/1.69 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1714, 1649])).
% 1.52/1.69 tff(1716,plain,
% 1.52/1.69 (op2(h2(e12), h3(e12)) = h3(e12)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1715, 1648, 486])).
% 1.52/1.69 tff(1717,plain,
% 1.52/1.69 (h3(e12) = op2(h2(e12), h3(e12))),
% 1.52/1.69 inference(symmetry,[status(thm)],[1716])).
% 1.52/1.69 tff(1718,plain,
% 1.52/1.69 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(commutativity,[status(thm)],[])).
% 1.52/1.69 tff(1719,plain,
% 1.52/1.69 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(op1(e12, e12), op1(e12, e12))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[1278])).
% 1.52/1.69 tff(1720,plain,
% 1.52/1.69 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[1719, 1718])).
% 1.52/1.69 tff(1721,plain,
% 1.52/1.69 ((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(op1(e12, e12), op1(e12, e12))))) <=> (~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[1720])).
% 1.52/1.69 tff(1722,plain,
% 1.52/1.69 ((~(op1(e11, e10) = op1(e12, e10))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(op1(e12, e12), op1(e12, e12)))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1723,plain,
% 1.52/1.69 ((~(op1(e11, e10) = op1(e12, e10))) <=> (~(op1(e11, e10) = op1(e12, e10)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1724,plain,
% 1.52/1.69 (~(op1(e11, e10) = op1(e12, e10))),
% 1.52/1.69 inference(and_elim,[status(thm)],[1142])).
% 1.52/1.69 tff(1725,plain,
% 1.52/1.69 (~(op1(e11, e10) = op1(e12, e10))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 1.52/1.69 tff(1726,plain,
% 1.52/1.69 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(e12, op1(op1(e12, e12), op1(e12, e12))))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1725, 1722])).
% 1.52/1.69 tff(1727,plain,
% 1.52/1.69 (~(op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[1726, 1721])).
% 1.52/1.69 tff(1728,plain,
% 1.52/1.69 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)) <=> (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(commutativity,[status(thm)],[])).
% 1.52/1.69 tff(1729,plain,
% 1.52/1.69 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> (~(op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[1728])).
% 1.52/1.69 tff(1730,plain,
% 1.52/1.69 (~(op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[757, 1729])).
% 1.52/1.69 tff(1731,plain,
% 1.52/1.69 (((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1732,plain,
% 1.52/1.69 ((op1(e12, e12) = e11) <=> (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1733,plain,
% 1.52/1.69 ((op1(e12, e11) = e11) <=> (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1734,plain,
% 1.52/1.69 ((op1(e12, e10) = e11) <=> (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1735,plain,
% 1.52/1.69 (((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11)) <=> ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[1734, 1733, 1732, 673])).
% 1.52/1.69 tff(1736,plain,
% 1.52/1.69 (((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11)) <=> ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.52/1.69 inference(transitivity,[status(thm)],[1735, 1731])).
% 1.52/1.69 tff(1737,plain,
% 1.52/1.69 (((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11)) <=> ((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1738,plain,
% 1.52/1.69 ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11)) <=> ((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1739,plain,
% 1.52/1.69 ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) <=> ((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(1740,plain,
% 1.52/1.69 (((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11)) <=> (((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[1739])).
% 1.52/1.69 tff(1741,plain,
% 1.52/1.69 (((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11)) <=> ((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11))),
% 1.52/1.69 inference(transitivity,[status(thm)],[1740, 1738])).
% 1.52/1.69 tff(1742,plain,
% 1.52/1.69 ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11)),
% 1.52/1.69 inference(and_elim,[status(thm)],[792])).
% 1.52/1.69 tff(1743,plain,
% 1.52/1.70 ((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11)),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 1.52/1.70 tff(1744,plain,
% 1.52/1.70 ((op1(e12, e10) = e11) | (op1(e12, e11) = e11) | (op1(e12, e12) = e11) | (op1(e12, e13) = e11)),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1743, 1737])).
% 1.52/1.70 tff(1745,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1744, 1736])).
% 1.52/1.70 tff(1746,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1745, 1731])).
% 1.52/1.70 tff(1747,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1746, 1731])).
% 1.52/1.70 tff(1748,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1747, 1731])).
% 1.52/1.70 tff(1749,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1748, 1731])).
% 1.52/1.70 tff(1750,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1749, 1731])).
% 1.52/1.70 tff(1751,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1750, 1731])).
% 1.52/1.70 tff(1752,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[1751, 1731])).
% 1.52/1.70 tff(1753,plain,
% 1.52/1.70 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1752, 1731])).
% 1.52/1.71 tff(1754,plain,
% 1.52/1.71 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1753, 1731])).
% 1.52/1.71 tff(1755,plain,
% 1.52/1.71 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1754, 1731])).
% 1.52/1.71 tff(1756,plain,
% 1.52/1.71 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1755, 1731])).
% 1.52/1.71 tff(1757,plain,
% 1.52/1.71 ((op1(e12, op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[1756, 659, 1730])).
% 1.52/1.71 tff(1758,plain,
% 1.52/1.71 (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[1757, 1727])).
% 1.52/1.71 tff(1759,plain,
% 1.52/1.71 (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[1758])).
% 1.52/1.71 tff(1760,plain,
% 1.52/1.71 (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[1759, 1276, 889, 888, 1717, 1632])).
% 1.52/1.71 tff(1761,plain,
% 1.52/1.71 (op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))) = op2(h1(e12), h3(e12))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[1541, 890])).
% 1.52/1.71 tff(1762,plain,
% 1.52/1.71 (op2(h1(e12), h3(e12)) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.52/1.71 inference(symmetry,[status(thm)],[1761])).
% 1.52/1.71 tff(1763,plain,
% 1.52/1.71 (h1(e12) = op2(h1(e12), h3(e12))),
% 1.52/1.71 inference(symmetry,[status(thm)],[471])).
% 1.52/1.71 tff(1764,plain,
% 1.52/1.71 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[1623])).
% 1.52/1.71 tff(1765,plain,
% 1.52/1.71 ((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[1764])).
% 1.52/1.71 tff(1766,plain,
% 1.52/1.71 ((~(op1(e11, e11) = op1(e11, e13))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(1767,plain,
% 1.52/1.71 ((~(op1(e11, e11) = op1(e11, e13))) <=> (~(op1(e11, e11) = op1(e11, e13)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(1768,plain,
% 1.52/1.71 (~(op1(e11, e11) = op1(e11, e13))),
% 1.52/1.71 inference(and_elim,[status(thm)],[611])).
% 1.52/1.71 tff(1769,plain,
% 1.52/1.71 (~(op1(e11, e11) = op1(e11, e13))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1768, 1767])).
% 1.52/1.71 tff(1770,plain,
% 1.52/1.71 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1769, 1766])).
% 1.52/1.71 tff(1771,plain,
% 1.52/1.71 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1770, 1765])).
% 1.52/1.71 tff(1772,plain,
% 1.52/1.71 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(1773,plain,
% 1.52/1.71 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | $false | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(1774,plain,
% 1.52/1.71 ((~(op1(e12, e11) = op1(e12, e12))) <=> (~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(1775,plain,
% 1.52/1.71 ((~(op1(e12, e11) = op1(e12, e12))) <=> (~(op1(e12, e11) = op1(e12, e12)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(1776,plain,
% 1.52/1.71 (~(op1(e12, e11) = op1(e12, e12))),
% 1.52/1.71 inference(and_elim,[status(thm)],[606])).
% 1.52/1.71 tff(1777,plain,
% 1.52/1.71 (~(op1(e12, e11) = op1(e12, e12))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1776, 1775])).
% 1.52/1.71 tff(1778,plain,
% 1.52/1.71 (~(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[1777, 1774])).
% 1.52/1.71 tff(1779,plain,
% 1.52/1.71 ((op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) <=> $false),
% 1.52/1.71 inference(iff_false,[status(thm)],[1778])).
% 1.52/1.71 tff(1780,plain,
% 1.52/1.71 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | $false | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[1779])).
% 1.52/1.72 tff(1781,plain,
% 1.52/1.72 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[1780, 1773])).
% 1.52/1.72 tff(1782,plain,
% 1.52/1.72 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(1783,plain,
% 1.52/1.72 ((op1(e13, e11) = e13) <=> (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(1784,plain,
% 1.52/1.72 ((op1(e12, e11) = e13) <=> (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(1785,plain,
% 1.52/1.72 ((op1(e11, e11) = e13) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(1786,plain,
% 1.52/1.72 (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[770, 1785, 1784, 1783])).
% 1.52/1.72 tff(1787,plain,
% 1.52/1.72 (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[1786, 1782])).
% 1.52/1.72 tff(1788,plain,
% 1.52/1.72 (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(1789,plain,
% 1.52/1.73 ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(1790,plain,
% 1.52/1.73 ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(1791,plain,
% 1.52/1.73 (((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)) <=> (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[1790])).
% 1.52/1.73 tff(1792,plain,
% 1.52/1.73 (((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13))),
% 1.52/1.73 inference(transitivity,[status(thm)],[1791, 1789])).
% 1.52/1.73 tff(1793,plain,
% 1.52/1.73 ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)),
% 1.52/1.73 inference(and_elim,[status(thm)],[795])).
% 1.52/1.73 tff(1794,plain,
% 1.52/1.73 ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 1.52/1.73 tff(1795,plain,
% 1.52/1.73 ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1794, 1788])).
% 1.52/1.73 tff(1796,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1795, 1787])).
% 1.52/1.73 tff(1797,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1796, 1782])).
% 1.52/1.73 tff(1798,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1797, 1782])).
% 1.52/1.73 tff(1799,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1798, 1781])).
% 1.52/1.73 tff(1800,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1799, 1772])).
% 1.52/1.73 tff(1801,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1800, 1772])).
% 1.52/1.73 tff(1802,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1801, 1772])).
% 1.52/1.73 tff(1803,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1802, 1772])).
% 1.52/1.73 tff(1804,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1803, 1772])).
% 1.52/1.73 tff(1805,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1804, 1772])).
% 1.52/1.73 tff(1806,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1805, 1772])).
% 1.52/1.73 tff(1807,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[1806, 1772])).
% 1.52/1.73 tff(1808,plain,
% 1.52/1.73 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1807, 1771])).
% 1.52/1.73 tff(1809,plain,
% 1.52/1.73 (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(e12, e12)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1808, 751])).
% 1.52/1.73 tff(1810,plain,
% 1.52/1.73 (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = h2(op1(e12, e12))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[1809])).
% 1.52/1.73 tff(1811,plain,
% 1.52/1.73 (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[1810, 559, 1763, 1762])).
% 1.52/1.73 tff(1812,plain,
% 1.52/1.73 (((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) | (~(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)))),
% 1.52/1.73 inference(tautology,[status(thm)],[])).
% 1.52/1.73 tff(1813,plain,
% 1.52/1.73 ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1812, 890])).
% 1.52/1.74 tff(1814,plain,
% 1.52/1.74 (((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12))) | (~(op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)))),
% 1.52/1.74 inference(tautology,[status(thm)],[])).
% 1.52/1.74 tff(1815,plain,
% 1.52/1.74 ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1814, 561])).
% 1.52/1.74 tff(1816,plain,
% 1.52/1.74 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) | (~(h2(op1(e12, e12)) = h1(e12)))),
% 1.52/1.74 inference(tautology,[status(thm)],[])).
% 1.52/1.74 tff(1817,plain,
% 1.52/1.74 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1816, 559])).
% 1.52/1.74 tff(1818,plain,
% 1.52/1.74 (op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) = op2(h1(e12), h4(e12))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1541, 561])).
% 1.52/1.74 tff(1819,plain,
% 1.52/1.74 (op2(h1(e12), h4(e12)) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.52/1.74 inference(symmetry,[status(thm)],[1818])).
% 1.52/1.74 tff(1820,plain,
% 1.52/1.74 ((h2(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))) <=> (h2(e12) = op2(h1(e12), h4(e12)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1821,plain,
% 1.52/1.74 ((h2(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (h2(e12) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1822,plain,
% 1.52/1.74 ((h2(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (h2(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1823,plain,
% 1.52/1.74 ((h2(e12) = e21) <=> (h2(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1824,plain,
% 1.52/1.74 ((h2(e12) = e21) <=> (h2(e12) = e21)),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1825,plain,
% 1.52/1.74 (h2(e12) = e21),
% 1.52/1.74 inference(and_elim,[status(thm)],[1289])).
% 1.52/1.74 tff(1826,plain,
% 1.52/1.74 (h2(e12) = e21),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1825, 1824])).
% 1.52/1.74 tff(1827,plain,
% 1.52/1.74 (h2(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1826, 1823])).
% 1.52/1.74 tff(1828,plain,
% 1.52/1.74 (h2(e12) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1827, 1822])).
% 1.52/1.74 tff(1829,plain,
% 1.52/1.74 (h2(e12) = op2(op2(h4(e12), h4(e12)), h4(e12))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1828, 1821])).
% 1.52/1.74 tff(1830,plain,
% 1.52/1.74 (h2(e12) = op2(h1(e12), h4(e12))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1829, 1820])).
% 1.52/1.74 tff(1831,plain,
% 1.52/1.74 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) <=> (op1(e12, e12) = e12)),
% 1.52/1.74 inference(monotonicity,[status(thm)],[812])).
% 1.52/1.74 tff(1832,plain,
% 1.52/1.74 ((op1(e12, e12) = e12) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(symmetry,[status(thm)],[1831])).
% 1.52/1.74 tff(1833,plain,
% 1.52/1.74 ((~(op1(e12, e12) = e12)) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1832])).
% 1.52/1.74 tff(1834,plain,
% 1.52/1.74 ((e12 = op1(e12, e12)) <=> (op1(e12, e12) = e12)),
% 1.52/1.74 inference(commutativity,[status(thm)],[])).
% 1.52/1.74 tff(1835,plain,
% 1.52/1.74 ((~(e12 = op1(e12, e12))) <=> (~(op1(e12, e12) = e12))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1834])).
% 1.52/1.74 tff(1836,plain,
% 1.52/1.74 ((~(e12 = e13)) <=> (~(e12 = op1(e12, e12)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1837,plain,
% 1.52/1.74 ((~(e12 = e13)) <=> (~(e12 = e13))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1838,plain,
% 1.52/1.74 (~(e12 = e13)),
% 1.52/1.74 inference(and_elim,[status(thm)],[581])).
% 1.52/1.74 tff(1839,plain,
% 1.52/1.74 (~(e12 = e13)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 1.52/1.74 tff(1840,plain,
% 1.52/1.74 (~(e12 = op1(e12, e12))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1839, 1836])).
% 1.52/1.74 tff(1841,plain,
% 1.52/1.74 (~(op1(e12, e12) = e12)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1840, 1835])).
% 1.52/1.74 tff(1842,plain,
% 1.52/1.74 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1841, 1833])).
% 1.52/1.74 tff(1843,plain,
% 1.52/1.74 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1278])).
% 1.52/1.74 tff(1844,plain,
% 1.52/1.74 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = e12) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(symmetry,[status(thm)],[1843])).
% 1.52/1.74 tff(1845,plain,
% 1.52/1.74 ((~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = e12)) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1844])).
% 1.52/1.74 tff(1846,plain,
% 1.52/1.74 ((~(e11 = e12)) <=> (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = e12))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1847,plain,
% 1.52/1.74 ((~(e11 = e12)) <=> (~(e11 = e12))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1848,plain,
% 1.52/1.74 (~(e11 = e12)),
% 1.52/1.74 inference(and_elim,[status(thm)],[583])).
% 1.52/1.74 tff(1849,plain,
% 1.52/1.74 (~(e11 = e12)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 1.52/1.74 tff(1850,plain,
% 1.52/1.74 (~(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1849, 1846])).
% 1.52/1.74 tff(1851,plain,
% 1.52/1.74 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1850, 1845])).
% 1.52/1.74 tff(1852,plain,
% 1.52/1.74 (((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1853,plain,
% 1.52/1.74 ((op1(e13, e10) = e12) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1854,plain,
% 1.52/1.74 ((op1(e12, e10) = e12) <=> (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1855,plain,
% 1.52/1.74 ((op1(e11, e10) = e12) <=> (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1856,plain,
% 1.52/1.74 ((op1(e10, e10) = e12) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1857,plain,
% 1.52/1.74 (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1856, 1855, 1854, 1853])).
% 1.52/1.74 tff(1858,plain,
% 1.52/1.74 (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)) <=> ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1857, 1852])).
% 1.52/1.75 tff(1859,plain,
% 1.52/1.75 (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1860,plain,
% 1.52/1.75 ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1861,plain,
% 1.52/1.75 ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1862,plain,
% 1.52/1.75 (((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)) <=> (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1861])).
% 1.52/1.75 tff(1863,plain,
% 1.52/1.75 (((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1862, 1860])).
% 1.52/1.75 tff(1864,plain,
% 1.52/1.75 ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)),
% 1.52/1.75 inference(and_elim,[status(thm)],[1315])).
% 1.52/1.75 tff(1865,plain,
% 1.52/1.75 ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 1.52/1.75 tff(1866,plain,
% 1.52/1.75 ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1865, 1859])).
% 1.52/1.75 tff(1867,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1866, 1858])).
% 1.52/1.75 tff(1868,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1867, 1852])).
% 1.52/1.75 tff(1869,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1868, 1852])).
% 1.52/1.75 tff(1870,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1869, 1852])).
% 1.52/1.75 tff(1871,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1870, 1852])).
% 1.52/1.75 tff(1872,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1871, 1852])).
% 1.52/1.75 tff(1873,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1872, 1852])).
% 1.52/1.75 tff(1874,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1873, 1852])).
% 1.52/1.75 tff(1875,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1874, 1852])).
% 1.52/1.75 tff(1876,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1875, 1852])).
% 1.52/1.75 tff(1877,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1876, 1852])).
% 1.52/1.75 tff(1878,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(e12, op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1877, 1852])).
% 1.52/1.75 tff(1879,plain,
% 1.52/1.75 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1878, 1155])).
% 1.52/1.75 tff(1880,plain,
% 1.52/1.75 (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = e12),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1879, 1851, 1842])).
% 1.52/1.75 tff(1881,plain,
% 1.52/1.75 (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = h2(e12)),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1880])).
% 1.52/1.75 tff(1882,plain,
% 1.52/1.75 (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1881, 1830, 1819])).
% 1.52/1.75 tff(1883,plain,
% 1.52/1.75 (op2(op2(h2(e12), h2(e12)), h2(e12)) = op2(h1(e12), h2(e12))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1541])).
% 1.52/1.75 tff(1884,plain,
% 1.52/1.75 (op2(h1(e12), h2(e12)) = op2(op2(h2(e12), h2(e12)), h2(e12))),
% 1.52/1.75 inference(symmetry,[status(thm)],[1883])).
% 1.52/1.75 tff(1885,plain,
% 1.52/1.75 (((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1886,plain,
% 1.52/1.75 (($false | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1887,plain,
% 1.61/1.76 ((~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))) <=> (~(op2(h1(e12), h2(e12)) = h2(e12)))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1888,plain,
% 1.61/1.76 ((~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))) <=> (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1889,plain,
% 1.61/1.76 ((~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1890,plain,
% 1.61/1.76 ((~(op2(e20, e21) = op2(e20, e23))) <=> (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1891,plain,
% 1.61/1.76 ((~(op2(e20, e21) = op2(e20, e23))) <=> (~(op2(e20, e21) = op2(e20, e23)))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1892,plain,
% 1.61/1.76 (~(op2(e20, e21) = op2(e20, e23))),
% 1.61/1.76 inference(and_elim,[status(thm)],[50])).
% 1.61/1.76 tff(1893,plain,
% 1.61/1.76 (~(op2(e20, e21) = op2(e20, e23))),
% 1.61/1.76 inference(modus_ponens,[status(thm)],[1892, 1891])).
% 1.61/1.76 tff(1894,plain,
% 1.61/1.76 (~(op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.61/1.76 inference(modus_ponens,[status(thm)],[1893, 1890])).
% 1.61/1.76 tff(1895,plain,
% 1.61/1.76 (~(op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.61/1.76 inference(modus_ponens,[status(thm)],[1894, 1889])).
% 1.61/1.76 tff(1896,plain,
% 1.61/1.76 (~(op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.61/1.76 inference(modus_ponens,[status(thm)],[1895, 1888])).
% 1.61/1.76 tff(1897,plain,
% 1.61/1.76 (~(op2(h1(e12), h2(e12)) = h2(e12))),
% 1.61/1.76 inference(modus_ponens,[status(thm)],[1896, 1887])).
% 1.61/1.76 tff(1898,plain,
% 1.61/1.76 ((op2(h1(e12), h2(e12)) = h2(e12)) <=> $false),
% 1.61/1.76 inference(iff_false,[status(thm)],[1897])).
% 1.61/1.76 tff(1899,plain,
% 1.61/1.76 (((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))) <=> ($false | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.61/1.76 inference(monotonicity,[status(thm)],[1898])).
% 1.61/1.76 tff(1900,plain,
% 1.61/1.76 (((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.61/1.76 inference(transitivity,[status(thm)],[1899, 1886])).
% 1.61/1.76 tff(1901,plain,
% 1.61/1.76 (((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))) <=> ((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1902,plain,
% 1.61/1.76 ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)) <=> (op2(h1(e12), h2(e12)) = h3(e12))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.76 tff(1903,plain,
% 1.61/1.76 ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) <=> (op2(h1(e12), h2(e12)) = h2(e12))),
% 1.61/1.76 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1904,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12))) <=> ((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[1903, 422, 999, 1902])).
% 1.61/1.77 tff(1905,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12))) <=> ((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.61/1.77 inference(transitivity,[status(thm)],[1904, 1901])).
% 1.61/1.77 tff(1906,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12))) <=> ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1907,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12))) <=> ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1908,plain,
% 1.61/1.77 ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)) <=> (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1909,plain,
% 1.61/1.77 ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) <=> (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1910,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12))) <=> ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[428, 1909, 224, 1908])).
% 1.61/1.77 tff(1911,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12))) <=> ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12)))),
% 1.61/1.77 inference(transitivity,[status(thm)],[1910, 1907])).
% 1.61/1.77 tff(1912,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12))) <=> ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1913,plain,
% 1.61/1.77 (((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12))) <=> ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1914,plain,
% 1.61/1.77 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) <=> (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1915,plain,
% 1.61/1.77 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) <=> (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12)))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1916,plain,
% 1.61/1.77 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[435, 1915, 1914, 240])).
% 1.61/1.78 tff(1917,plain,
% 1.61/1.78 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12)))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1916, 1913])).
% 1.61/1.78 tff(1918,plain,
% 1.61/1.78 (((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1919,plain,
% 1.61/1.78 ((op2(e20, e21) = e22) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1920,plain,
% 1.61/1.78 ((op2(e20, e21) = e21) <=> (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1921,plain,
% 1.61/1.78 (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[442, 1920, 1919, 247])).
% 1.61/1.78 tff(1922,plain,
% 1.61/1.78 (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)) <=> ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1921, 1918])).
% 1.61/1.78 tff(1923,plain,
% 1.61/1.78 (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1924,plain,
% 1.61/1.78 ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1925,plain,
% 1.61/1.78 ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1926,plain,
% 1.61/1.78 (((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)) <=> (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[1925])).
% 1.61/1.78 tff(1927,plain,
% 1.61/1.78 (((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1926, 1924])).
% 1.61/1.78 tff(1928,plain,
% 1.61/1.78 (((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))),
% 1.61/1.78 inference(and_elim,[status(thm)],[1700])).
% 1.61/1.78 tff(1929,plain,
% 1.61/1.78 ((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))),
% 1.61/1.78 inference(and_elim,[status(thm)],[1928])).
% 1.61/1.78 tff(1930,plain,
% 1.61/1.78 (((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))),
% 1.61/1.78 inference(and_elim,[status(thm)],[1929])).
% 1.61/1.78 tff(1931,plain,
% 1.64/1.79 ((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))),
% 1.64/1.79 inference(and_elim,[status(thm)],[1930])).
% 1.64/1.79 tff(1932,plain,
% 1.64/1.79 (((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))),
% 1.64/1.79 inference(and_elim,[status(thm)],[1931])).
% 1.64/1.79 tff(1933,plain,
% 1.64/1.79 ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)),
% 1.64/1.79 inference(and_elim,[status(thm)],[1932])).
% 1.64/1.79 tff(1934,plain,
% 1.64/1.79 ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)),
% 1.64/1.79 inference(modus_ponens,[status(thm)],[1933, 1927])).
% 1.64/1.79 tff(1935,plain,
% 1.64/1.79 ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)),
% 1.64/1.79 inference(modus_ponens,[status(thm)],[1934, 1923])).
% 1.64/1.79 tff(1936,plain,
% 1.64/1.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.64/1.79 inference(modus_ponens,[status(thm)],[1935, 1922])).
% 1.64/1.79 tff(1937,plain,
% 1.64/1.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.64/1.79 inference(modus_ponens,[status(thm)],[1936, 1918])).
% 1.64/1.79 tff(1938,plain,
% 1.64/1.79 ((op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.64/1.79 inference(modus_ponens,[status(thm)],[1937, 1918])).
% 1.64/1.79 tff(1939,plain,
% 1.64/1.79 ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12))),
% 1.64/1.79 inference(modus_ponens,[status(thm)],[1938, 1917])).
% 1.64/1.79 tff(1940,plain,
% 1.64/1.79 ((op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))), h4(e12))) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1939, 1912])).
% 1.64/1.80 tff(1941,plain,
% 1.64/1.80 ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1940, 1911])).
% 1.64/1.80 tff(1942,plain,
% 1.64/1.80 ((op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = op2(op2(h4(e12), h4(e12)), h4(e12))) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h1(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h4(e12)) | (op2(h1(e12), op2(op2(h4(e12), h4(e12)), h4(e12))) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1941, 1906])).
% 1.64/1.80 tff(1943,plain,
% 1.64/1.80 ((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1942, 1905])).
% 1.64/1.80 tff(1944,plain,
% 1.64/1.80 ((op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1943, 1901])).
% 1.64/1.80 tff(1945,plain,
% 1.64/1.80 ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1944, 1900])).
% 1.64/1.80 tff(1946,plain,
% 1.64/1.80 ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1945, 1885])).
% 1.64/1.80 tff(1947,plain,
% 1.64/1.80 ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h3(e12))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1946, 1885])).
% 1.64/1.80 tff(1948,plain,
% 1.64/1.80 (op2(h1(e12), h2(e12)) = h3(e12)),
% 1.64/1.80 inference(unit_resolution,[status(thm)],[1947, 407, 205])).
% 1.64/1.80 tff(1949,plain,
% 1.64/1.80 (h3(e12) = op2(h1(e12), h2(e12))),
% 1.64/1.80 inference(symmetry,[status(thm)],[1948])).
% 1.64/1.80 tff(1950,plain,
% 1.64/1.80 ((op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) <=> (op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.80 inference(monotonicity,[status(thm)],[1809])).
% 1.64/1.80 tff(1951,plain,
% 1.64/1.80 ((op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) <=> (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.80 inference(symmetry,[status(thm)],[1950])).
% 1.64/1.80 tff(1952,plain,
% 1.64/1.80 ((~(op1(e12, e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> (~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.80 inference(monotonicity,[status(thm)],[1951])).
% 1.64/1.80 tff(1953,plain,
% 1.64/1.80 (~(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1730, 1952])).
% 1.64/1.80 tff(1954,plain,
% 1.64/1.80 ((op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.80 inference(commutativity,[status(thm)],[])).
% 1.64/1.80 tff(1955,plain,
% 1.64/1.80 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))))),
% 1.64/1.80 inference(monotonicity,[status(thm)],[1278])).
% 1.64/1.80 tff(1956,plain,
% 1.64/1.80 ((op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.80 inference(transitivity,[status(thm)],[1955, 1954])).
% 1.64/1.80 tff(1957,plain,
% 1.64/1.80 ((~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))))) <=> (~(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.80 inference(monotonicity,[status(thm)],[1956])).
% 1.64/1.80 tff(1958,plain,
% 1.64/1.80 ((~(op1(e11, e10) = op1(e13, e10))) <=> (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))))),
% 1.64/1.80 inference(rewrite,[status(thm)],[])).
% 1.64/1.80 tff(1959,plain,
% 1.64/1.80 ((~(op1(e11, e10) = op1(e13, e10))) <=> (~(op1(e11, e10) = op1(e13, e10)))),
% 1.64/1.80 inference(rewrite,[status(thm)],[])).
% 1.64/1.80 tff(1960,plain,
% 1.64/1.80 (~(op1(e11, e10) = op1(e13, e10))),
% 1.64/1.80 inference(and_elim,[status(thm)],[1141])).
% 1.64/1.80 tff(1961,plain,
% 1.64/1.80 (~(op1(e11, e10) = op1(e13, e10))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 1.64/1.80 tff(1962,plain,
% 1.64/1.80 (~(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1961, 1958])).
% 1.64/1.80 tff(1963,plain,
% 1.64/1.80 (~(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1962, 1957])).
% 1.64/1.80 tff(1964,plain,
% 1.64/1.80 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.80 inference(rewrite,[status(thm)],[])).
% 1.64/1.80 tff(1965,plain,
% 1.64/1.80 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | $false) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.80 inference(rewrite,[status(thm)],[])).
% 1.64/1.80 tff(1966,plain,
% 1.64/1.80 ((~(e10 = e11)) <=> (~(op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.80 inference(rewrite,[status(thm)],[])).
% 1.64/1.80 tff(1967,plain,
% 1.64/1.80 ((~(e10 = e11)) <=> (~(e10 = e11))),
% 1.64/1.80 inference(rewrite,[status(thm)],[])).
% 1.64/1.80 tff(1968,plain,
% 1.64/1.80 ((~(e10 = e11)) & (~(e10 = e12))),
% 1.64/1.80 inference(and_elim,[status(thm)],[584])).
% 1.64/1.80 tff(1969,plain,
% 1.64/1.80 (~(e10 = e11)),
% 1.64/1.80 inference(and_elim,[status(thm)],[1968])).
% 1.64/1.80 tff(1970,plain,
% 1.64/1.80 (~(e10 = e11)),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1969, 1967])).
% 1.64/1.80 tff(1971,plain,
% 1.64/1.80 (~(op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1970, 1966])).
% 1.64/1.80 tff(1972,plain,
% 1.64/1.80 ((op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) <=> $false),
% 1.64/1.80 inference(iff_false,[status(thm)],[1971])).
% 1.64/1.81 tff(1973,plain,
% 1.64/1.81 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | $false)),
% 1.64/1.81 inference(monotonicity,[status(thm)],[1972])).
% 1.64/1.81 tff(1974,plain,
% 1.64/1.81 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.81 inference(transitivity,[status(thm)],[1973, 1965])).
% 1.64/1.81 tff(1975,plain,
% 1.64/1.81 (((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.81 inference(rewrite,[status(thm)],[])).
% 1.64/1.81 tff(1976,plain,
% 1.64/1.81 ((op1(e13, e13) = e11) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.81 inference(rewrite,[status(thm)],[])).
% 1.64/1.81 tff(1977,plain,
% 1.64/1.81 ((op1(e13, e12) = e11) <=> (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.81 inference(rewrite,[status(thm)],[])).
% 1.64/1.81 tff(1978,plain,
% 1.64/1.81 ((op1(e13, e11) = e11) <=> (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.81 inference(rewrite,[status(thm)],[])).
% 1.64/1.81 tff(1979,plain,
% 1.64/1.81 ((op1(e13, e10) = e11) <=> (op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.81 inference(rewrite,[status(thm)],[])).
% 1.64/1.81 tff(1980,plain,
% 1.64/1.81 (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.81 inference(monotonicity,[status(thm)],[1979, 1978, 1977, 1976])).
% 1.64/1.81 tff(1981,plain,
% 1.64/1.81 (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)) <=> ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))),
% 1.64/1.82 inference(transitivity,[status(thm)],[1980, 1975])).
% 1.64/1.82 tff(1982,plain,
% 1.64/1.82 (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11))),
% 1.64/1.82 inference(rewrite,[status(thm)],[])).
% 1.64/1.82 tff(1983,plain,
% 1.64/1.82 ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11))),
% 1.64/1.82 inference(rewrite,[status(thm)],[])).
% 1.64/1.82 tff(1984,plain,
% 1.64/1.82 ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11))),
% 1.64/1.82 inference(rewrite,[status(thm)],[])).
% 1.64/1.82 tff(1985,plain,
% 1.64/1.82 (((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)) <=> (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))),
% 1.64/1.82 inference(monotonicity,[status(thm)],[1984])).
% 1.64/1.82 tff(1986,plain,
% 1.64/1.82 (((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11))),
% 1.64/1.82 inference(transitivity,[status(thm)],[1985, 1983])).
% 1.64/1.82 tff(1987,plain,
% 1.64/1.82 ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)),
% 1.64/1.82 inference(and_elim,[status(thm)],[784])).
% 1.64/1.82 tff(1988,plain,
% 1.64/1.82 ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 1.64/1.82 tff(1989,plain,
% 1.64/1.82 ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1988, 1982])).
% 1.64/1.82 tff(1990,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1989, 1981])).
% 1.64/1.82 tff(1991,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1990, 1975])).
% 1.64/1.82 tff(1992,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1991, 1975])).
% 1.64/1.82 tff(1993,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1992, 1974])).
% 1.64/1.82 tff(1994,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1993, 1964])).
% 1.64/1.82 tff(1995,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1994, 1964])).
% 1.64/1.82 tff(1996,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1995, 1964])).
% 1.64/1.82 tff(1997,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1996, 1964])).
% 1.64/1.82 tff(1998,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1997, 1964])).
% 1.64/1.82 tff(1999,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1998, 1964])).
% 1.64/1.82 tff(2000,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[1999, 1964])).
% 1.64/1.82 tff(2001,plain,
% 1.64/1.82 ((op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) | (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(modus_ponens,[status(thm)],[2000, 1964])).
% 1.64/1.82 tff(2002,plain,
% 1.64/1.82 (op1(op1(e12, e12), e12) = op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))),
% 1.64/1.82 inference(unit_resolution,[status(thm)],[2001, 1963, 1953])).
% 1.64/1.82 tff(2003,plain,
% 1.64/1.82 (h2(op1(op1(e12, e12), e12)) = h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))),
% 1.64/1.82 inference(monotonicity,[status(thm)],[2002])).
% 1.64/1.82 tff(2004,plain,
% 1.64/1.82 (h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12))),
% 1.64/1.82 inference(transitivity,[status(thm)],[2003, 1276, 889, 888, 1949, 1884])).
% 1.64/1.82 tff(2005,plain,
% 1.64/1.82 ((~(~((~((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))) | (~((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12)))) | (~((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12))))) | (~(h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))))))) <=> ((~((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))) | (~((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12)))) | (~((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12))))) | (~(h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(2006,plain,
% 1.69/1.84 (((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))) <=> (~((~((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))) | (~((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12)))) | (~((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12))))) | (~(h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(2007,plain,
% 1.69/1.84 ((~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12))))) <=> (~(~((~((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))) | (~((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12)))) | (~((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12))))) | (~(h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))))))),
% 1.69/1.85 inference(monotonicity,[status(thm)],[2006])).
% 1.69/1.85 tff(2008,plain,
% 1.69/1.85 ((~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12))))) <=> ((~((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))) | (~((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12)))) | (~((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12))))) | (~(h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))))),
% 1.69/1.86 inference(transitivity,[status(thm)],[2007, 2005])).
% 1.69/1.86 tff(2009,plain,
% 1.69/1.86 ((~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12))))) <=> (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))))),
% 1.69/1.87 inference(rewrite,[status(thm)],[])).
% 1.69/1.87 tff(2010,plain,
% 1.69/1.87 ((~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))) <=> (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))))),
% 1.69/1.88 inference(rewrite,[status(thm)],[])).
% 1.69/1.88 tff(2011,plain,
% 1.69/1.88 (((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)))) <=> ((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))),
% 1.69/1.89 inference(rewrite,[status(thm)],[])).
% 1.69/1.89 tff(2012,plain,
% 1.69/1.89 ((~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))) <=> (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)))))),
% 1.69/1.90 inference(monotonicity,[status(thm)],[2011])).
% 1.69/1.90 tff(2013,plain,
% 1.69/1.90 ((~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12)))))) <=> (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)))))),
% 1.76/1.91 inference(rewrite,[status(thm)],[])).
% 1.76/1.91 tff(2014,plain,
% 1.76/1.91 (((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12))))) <=> ((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12)))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2015,plain,
% 1.76/1.92 ((~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12)))))) <=> (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[2014])).
% 1.76/1.93 tff(2016,plain,
% 1.76/1.93 ((~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))) <=> (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(2017,plain,
% 1.76/1.94 ((~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))) <=> (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2018,plain,
% 1.76/1.95 ((~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))) <=> (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2019,plain,
% 1.76/1.95 (((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23))) <=> ((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2020,plain,
% 1.76/1.95 ((~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))) <=> (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[2019])).
% 1.76/1.95 tff(2021,plain,
% 1.76/1.95 ((~((((((((((((((((((((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11)))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12)))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10)))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11)))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12)))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13)))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10)))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11)))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13)))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12)))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))) & ((((h2(e10) = e20) | (h2(e11) = e20)) | (h2(e12) = e20)) | (h2(e13) = e20))) & ((((h2(e10) = e21) | (h2(e11) = e21)) | (h2(e12) = e21)) | (h2(e13) = e21))) & ((((h2(e10) = e22) | (h2(e11) = e22)) | (h2(e12) = e22)) | (h2(e13) = e22))) & ((((h2(e10) = e23) | (h2(e11) = e23)) | (h2(e12) = e23)) | (h2(e13) = e23)))) <=> (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2022,axiom,(~(((((((((((((((((((((((h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & (h1(op1(e10, e11)) = op2(h1(e10), h1(e11)))) & (h1(op1(e10, e12)) = op2(h1(e10), h1(e12)))) & (h1(op1(e10, e13)) = op2(h1(e10), h1(e13)))) & (h1(op1(e11, e10)) = op2(h1(e11), h1(e10)))) & (h1(op1(e11, e11)) = op2(h1(e11), h1(e11)))) & (h1(op1(e11, e12)) = op2(h1(e11), h1(e12)))) & (h1(op1(e11, e13)) = op2(h1(e11), h1(e13)))) & (h1(op1(e12, e10)) = op2(h1(e12), h1(e10)))) & (h1(op1(e12, e11)) = op2(h1(e12), h1(e11)))) & (h1(op1(e12, e12)) = op2(h1(e12), h1(e12)))) & (h1(op1(e12, e13)) = op2(h1(e12), h1(e13)))) & (h1(op1(e13, e10)) = op2(h1(e13), h1(e10)))) & (h1(op1(e13, e11)) = op2(h1(e13), h1(e11)))) & (h1(op1(e13, e12)) = op2(h1(e13), h1(e12)))) & (h1(op1(e13, e13)) = op2(h1(e13), h1(e13)))) & ((((h1(e10) = e20) | (h1(e11) = e20)) | (h1(e12) = e20)) | (h1(e13) = e20))) & ((((h1(e10) = e21) | (h1(e11) = e21)) | (h1(e12) = e21)) | (h1(e13) = e21))) & ((((h1(e10) = e22) | (h1(e11) = e22)) | (h1(e12) = e22)) | (h1(e13) = e22))) & ((((h1(e10) = e23) | (h1(e11) = e23)) | (h1(e12) = e23)) | (h1(e13) = e23))) | ((((((((((((((((((((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11)))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12)))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10)))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11)))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12)))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13)))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10)))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11)))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13)))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12)))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))) & ((((h2(e10) = e20) | (h2(e11) = e20)) | (h2(e12) = e20)) | (h2(e13) = e20))) & ((((h2(e10) = e21) | (h2(e11) = e21)) | (h2(e12) = e21)) | (h2(e13) = e21))) & ((((h2(e10) = e22) | (h2(e11) = e22)) | (h2(e12) = e22)) | (h2(e13) = e22))) & ((((h2(e10) = e23) | (h2(e11) = e23)) | (h2(e12) = e23)) | (h2(e13) = e23)))) | ((((((((((((((((((((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13)))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12)))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11)))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12)))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13)))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11)))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12)))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))) & ((((h3(e10) = e20) | (h3(e11) = e20)) | (h3(e12) = e20)) | (h3(e13) = e20))) & ((((h3(e10) = e21) | (h3(e11) = e21)) | (h3(e12) = e21)) | (h3(e13) = e21))) & ((((h3(e10) = e22) | (h3(e11) = e22)) | (h3(e12) = e22)) | (h3(e13) = e22))) & ((((h3(e10) = e23) | (h3(e11) = e23)) | (h3(e12) = e23)) | (h3(e13) = e23)))) | ((((((((((((((((((((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11)))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12)))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13)))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10)))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11)))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12)))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13)))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10)))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11)))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12)))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13)))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10)))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11)))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12)))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13)))) & ((((h4(e10) = e20) | (h4(e11) = e20)) | (h4(e12) = e20)) | (h4(e13) = e20))) & ((((h4(e10) = e21) | (h4(e11) = e21)) | (h4(e12) = e21)) | (h4(e13) = e21))) & ((((h4(e10) = e22) | (h4(e11) = e22)) | (h4(e12) = e22)) | (h4(e13) = e22))) & ((((h4(e10) = e23) | (h4(e11) = e23)) | (h4(e12) = e23)) | (h4(e13) = e23))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 1.82/1.97 tff(2023,plain,
% 1.82/1.97 (~((((((((((((((((((((((h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & (h1(op1(e10, e11)) = op2(h1(e10), h1(e11)))) & (h1(op1(e10, e12)) = op2(h1(e10), h1(e12)))) & (h1(op1(e10, e13)) = op2(h1(e10), h1(e13)))) & (h1(op1(e11, e10)) = op2(h1(e11), h1(e10)))) & (h1(op1(e11, e11)) = op2(h1(e11), h1(e11)))) & (h1(op1(e11, e12)) = op2(h1(e11), h1(e12)))) & (h1(op1(e11, e13)) = op2(h1(e11), h1(e13)))) & (h1(op1(e12, e10)) = op2(h1(e12), h1(e10)))) & (h1(op1(e12, e11)) = op2(h1(e12), h1(e11)))) & (h1(op1(e12, e12)) = op2(h1(e12), h1(e12)))) & (h1(op1(e12, e13)) = op2(h1(e12), h1(e13)))) & (h1(op1(e13, e10)) = op2(h1(e13), h1(e10)))) & (h1(op1(e13, e11)) = op2(h1(e13), h1(e11)))) & (h1(op1(e13, e12)) = op2(h1(e13), h1(e12)))) & (h1(op1(e13, e13)) = op2(h1(e13), h1(e13)))) & ((((h1(e10) = e20) | (h1(e11) = e20)) | (h1(e12) = e20)) | (h1(e13) = e20))) & ((((h1(e10) = e21) | (h1(e11) = e21)) | (h1(e12) = e21)) | (h1(e13) = e21))) & ((((h1(e10) = e22) | (h1(e11) = e22)) | (h1(e12) = e22)) | (h1(e13) = e22))) & ((((h1(e10) = e23) | (h1(e11) = e23)) | (h1(e12) = e23)) | (h1(e13) = e23))) | ((((((((((((((((((((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11)))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12)))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10)))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11)))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12)))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13)))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10)))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11)))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13)))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12)))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))) & ((((h2(e10) = e20) | (h2(e11) = e20)) | (h2(e12) = e20)) | (h2(e13) = e20))) & ((((h2(e10) = e21) | (h2(e11) = e21)) | (h2(e12) = e21)) | (h2(e13) = e21))) & ((((h2(e10) = e22) | (h2(e11) = e22)) | (h2(e12) = e22)) | (h2(e13) = e22))) & ((((h2(e10) = e23) | (h2(e11) = e23)) | (h2(e12) = e23)) | (h2(e13) = e23)))) | ((((((((((((((((((((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13)))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12)))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11)))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12)))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13)))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11)))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12)))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))) & ((((h3(e10) = e20) | (h3(e11) = e20)) | (h3(e12) = e20)) | (h3(e13) = e20))) & ((((h3(e10) = e21) | (h3(e11) = e21)) | (h3(e12) = e21)) | (h3(e13) = e21))) & ((((h3(e10) = e22) | (h3(e11) = e22)) | (h3(e12) = e22)) | (h3(e13) = e22))) & ((((h3(e10) = e23) | (h3(e11) = e23)) | (h3(e12) = e23)) | (h3(e13) = e23))))),
% 1.82/1.97 inference(or_elim,[status(thm)],[2022])).
% 1.82/1.97 tff(2024,plain,
% 1.82/1.97 (~(((((((((((((((((((((h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & (h1(op1(e10, e11)) = op2(h1(e10), h1(e11)))) & (h1(op1(e10, e12)) = op2(h1(e10), h1(e12)))) & (h1(op1(e10, e13)) = op2(h1(e10), h1(e13)))) & (h1(op1(e11, e10)) = op2(h1(e11), h1(e10)))) & (h1(op1(e11, e11)) = op2(h1(e11), h1(e11)))) & (h1(op1(e11, e12)) = op2(h1(e11), h1(e12)))) & (h1(op1(e11, e13)) = op2(h1(e11), h1(e13)))) & (h1(op1(e12, e10)) = op2(h1(e12), h1(e10)))) & (h1(op1(e12, e11)) = op2(h1(e12), h1(e11)))) & (h1(op1(e12, e12)) = op2(h1(e12), h1(e12)))) & (h1(op1(e12, e13)) = op2(h1(e12), h1(e13)))) & (h1(op1(e13, e10)) = op2(h1(e13), h1(e10)))) & (h1(op1(e13, e11)) = op2(h1(e13), h1(e11)))) & (h1(op1(e13, e12)) = op2(h1(e13), h1(e12)))) & (h1(op1(e13, e13)) = op2(h1(e13), h1(e13)))) & ((((h1(e10) = e20) | (h1(e11) = e20)) | (h1(e12) = e20)) | (h1(e13) = e20))) & ((((h1(e10) = e21) | (h1(e11) = e21)) | (h1(e12) = e21)) | (h1(e13) = e21))) & ((((h1(e10) = e22) | (h1(e11) = e22)) | (h1(e12) = e22)) | (h1(e13) = e22))) & ((((h1(e10) = e23) | (h1(e11) = e23)) | (h1(e12) = e23)) | (h1(e13) = e23))) | ((((((((((((((((((((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11)))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12)))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10)))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11)))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12)))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13)))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10)))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11)))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13)))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12)))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))) & ((((h2(e10) = e20) | (h2(e11) = e20)) | (h2(e12) = e20)) | (h2(e13) = e20))) & ((((h2(e10) = e21) | (h2(e11) = e21)) | (h2(e12) = e21)) | (h2(e13) = e21))) & ((((h2(e10) = e22) | (h2(e11) = e22)) | (h2(e12) = e22)) | (h2(e13) = e22))) & ((((h2(e10) = e23) | (h2(e11) = e23)) | (h2(e12) = e23)) | (h2(e13) = e23))))),
% 1.82/1.97 inference(or_elim,[status(thm)],[2023])).
% 1.82/1.97 tff(2025,plain,
% 1.82/1.97 (~((((((((((((((((((((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11)))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12)))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10)))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11)))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12)))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13)))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10)))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11)))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13)))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12)))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))) & ((((h2(e10) = e20) | (h2(e11) = e20)) | (h2(e12) = e20)) | (h2(e13) = e20))) & ((((h2(e10) = e21) | (h2(e11) = e21)) | (h2(e12) = e21)) | (h2(e13) = e21))) & ((((h2(e10) = e22) | (h2(e11) = e22)) | (h2(e12) = e22)) | (h2(e13) = e22))) & ((((h2(e10) = e23) | (h2(e11) = e23)) | (h2(e12) = e23)) | (h2(e13) = e23)))),
% 1.82/1.97 inference(or_elim,[status(thm)],[2024])).
% 1.82/1.97 tff(2026,plain,
% 1.82/1.97 (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[2025, 2021])).
% 1.82/1.98 tff(2027,plain,
% 1.82/1.98 (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e12) = e21) | (h2(e10) = e21) | (h2(e11) = e21) | (h2(e13) = e21)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[2026, 2020])).
% 1.82/1.98 tff(2028,plain,
% 1.82/1.98 (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[2027, 2018])).
% 1.82/1.98 tff(2029,plain,
% 1.82/1.98 (~((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & ((h2(e10) = e20) | (h2(e11) = e20) | (h2(e12) = e20) | (h2(e13) = e20)) & ((h2(e10) = e22) | (h2(e11) = e22) | (h2(e12) = e22) | (h2(e13) = e22)) & ((h2(e10) = e23) | (h2(e11) = e23) | (h2(e12) = e23) | (h2(e13) = e23)))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[2028, 2017])).
% 1.82/1.98 tff(2030,plain,
% 1.82/1.98 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12)))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[2029, 2016])).
% 1.82/1.99 tff(2031,plain,
% 1.82/1.99 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(e12) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) | (h2(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h2(e12) = op2(h3(e12), h3(e12))) | (h2(op1(e12, e12)) = op2(h3(e12), h3(e12)))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[2030, 2015])).
% 1.82/2.00 tff(2032,plain,
% 1.82/2.00 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[2031, 2013])).
% 1.82/2.00 tff(2033,plain,
% 1.82/2.00 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[2032, 2012])).
% 1.82/2.00 tff(2034,plain,
% 1.82/2.00 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[2033, 2012])).
% 1.82/2.01 tff(2035,plain,
% 1.82/2.01 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[2034, 2012])).
% 1.82/2.02 tff(2036,plain,
% 1.82/2.02 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[2035, 2012])).
% 1.82/2.02 tff(2037,plain,
% 1.82/2.02 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(e12, e12), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(e12, e12), op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & (h2(op1(op1(e12, e12), op1(e12, e12))) = op2(h2(op1(e12, e12)), h2(op1(e12, e12)))) & ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(op1(e12, e12), op1(e12, e12))) = h1(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h1(e12)) | (h2(e12) = h1(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h3(e12)) | (h2(e12) = h3(e12)) | (h2(op1(e12, e12)) = h3(e12))) & ((h2(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)) | (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12))) = h4(e12)) | (h2(e12) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2036, 2012])).
% 1.82/2.03 tff(2038,plain,
% 1.82/2.03 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(op1(e12, e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), h2(op1(e12, e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(op1(e12, e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(op1(e12, e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(h2(op1(e12, e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2037, 2010])).
% 1.82/2.03 tff(2039,plain,
% 1.82/2.03 (~((h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12))) & (h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12)))) & (h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12)))) & (h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))))) & (h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12))) & ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12))) & ((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12))) & ((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2038, 2009])).
% 1.82/2.03 tff(2040,plain,
% 1.82/2.03 ((~((h2(op1(e12, e12)) = h4(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h4(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h4(e12)))) | (~((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h1(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h1(e12)))) | (~((h2(op1(e12, e12)) = h3(e12)) | (op2(h2(op1(e12, e12)), h2(op1(e12, e12))) = h3(e12)) | (op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))) = h3(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(e12, e12), e12)) = op2(op2(h2(e12), h2(e12)), h2(e12)))) | (~(h2(op1(op1(e12, e12), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(e12), h2(e12)), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(h2(e12), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(e12, op1(e12, e12))) = op2(h2(e12), op2(h2(e12), h2(e12))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(e12, e12))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(e12), h2(e12))))) | (~(h2(op1(e12, op1(op1(e12, e12), op1(e12, e12)))) = op2(h2(e12), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), e12)) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), e12)) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(e12)))) | (~(h2(op1(op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(op1(e12, e12), op1(e12, e12)), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), h2(op1(e12, e12)))))) | (~(h2(op1(op1(op1(e12, e12), op1(e12, e12)), op1(op1(e12, e12), op1(e12, e12)))) = op2(op2(h2(op1(e12, e12)), h2(op1(e12, e12))), op2(h2(op1(e12, e12)), h2(op1(e12, e12))))))),
% 1.82/2.05 inference(modus_ponens,[status(thm)],[2039, 2008])).
% 1.82/2.05 tff(2041,plain,
% 1.82/2.05 ($false),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2040, 2004, 1882, 1817, 1815, 1813, 1811, 1760, 1630, 1625, 1540, 1499, 1393, 1337, 1280, 1257, 814])).
% 1.82/2.05 % SZS output end Proof
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