TSTP Solution File: GRP301-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP301-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : Fri Sep 16 22:27:04 EDT 2022
% Result : Unsatisfiable 1.05s 0.92s
% Output : Proof 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP301-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 16:14:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 1.05/0.92 % SZS status Unsatisfiable
% 1.05/0.92 % SZS output start Proof
% 1.05/0.92 tff(sk_c5_type, type, (
% 1.05/0.92 sk_c5: $i)).
% 1.05/0.92 tff(multiply_type, type, (
% 1.05/0.92 multiply: ( $i * $i ) > $i)).
% 1.05/0.92 tff(sk_c6_type, type, (
% 1.05/0.92 sk_c6: $i)).
% 1.05/0.92 tff(sk_c2_type, type, (
% 1.05/0.92 sk_c2: $i)).
% 1.05/0.92 tff(sk_c7_type, type, (
% 1.05/0.92 sk_c7: $i)).
% 1.05/0.92 tff(sk_c4_type, type, (
% 1.05/0.92 sk_c4: $i)).
% 1.05/0.92 tff(sk_c3_type, type, (
% 1.05/0.92 sk_c3: $i)).
% 1.05/0.92 tff(sk_c1_type, type, (
% 1.05/0.92 sk_c1: $i)).
% 1.05/0.92 tff(identity_type, type, (
% 1.05/0.92 identity: $i)).
% 1.05/0.92 tff(inverse_type, type, (
% 1.05/0.92 inverse: $i > $i)).
% 1.05/0.92 tff(1,assumption,(~(multiply(sk_c7, sk_c6) = sk_c5)), introduced(assumption)).
% 1.05/0.92 tff(2,plain,
% 1.05/0.92 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(3,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 1.05/0.92 tff(4,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[3, 2])).
% 1.05/0.92 tff(5,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[4, 2])).
% 1.05/0.92 tff(6,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[5, 2])).
% 1.05/0.92 tff(7,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[6, 2])).
% 1.05/0.92 tff(8,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[7, 2])).
% 1.05/0.92 tff(9,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[8, 2])).
% 1.05/0.92 tff(10,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[9, 2])).
% 1.05/0.92 tff(11,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[10, 2])).
% 1.05/0.92 tff(12,plain,
% 1.05/0.92 (multiply(sk_c6, sk_c7) = sk_c5),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[11, 1])).
% 1.05/0.92 tff(13,plain,
% 1.05/0.92 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(14,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 1.05/0.92 tff(15,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[14, 13])).
% 1.05/0.92 tff(16,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[15, 13])).
% 1.05/0.92 tff(17,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[16, 13])).
% 1.05/0.92 tff(18,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[17, 13])).
% 1.05/0.92 tff(19,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[18, 13])).
% 1.05/0.92 tff(20,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[19, 13])).
% 1.05/0.92 tff(21,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[20, 13])).
% 1.05/0.92 tff(22,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[21, 13])).
% 1.05/0.92 tff(23,plain,
% 1.05/0.92 (multiply(sk_c4, sk_c5) = sk_c6),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[22, 1])).
% 1.05/0.92 tff(24,plain,
% 1.05/0.92 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = multiply(sk_c4, sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[12])).
% 1.05/0.92 tff(25,plain,
% 1.05/0.92 (^[Z: $i, Y: $i, X: $i] : refl((multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))))),
% 1.05/0.92 inference(bind,[status(th)],[])).
% 1.05/0.92 tff(26,plain,
% 1.05/0.92 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.05/0.92 inference(quant_intro,[status(thm)],[25])).
% 1.05/0.92 tff(27,plain,
% 1.05/0.92 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(28,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 1.05/0.92 tff(29,plain,
% 1.05/0.92 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[28, 27])).
% 1.05/0.92 tff(30,plain,(
% 1.05/0.92 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.05/0.92 inference(skolemize,[status(sab)],[29])).
% 1.05/0.92 tff(31,plain,
% 1.05/0.92 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[30, 26])).
% 1.05/0.92 tff(32,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(33,plain,
% 1.05/0.92 (multiply(multiply(sk_c4, sk_c6), sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[32, 31])).
% 1.05/0.92 tff(34,plain,
% 1.05/0.92 (multiply(multiply(sk_c4, sk_c6), sk_c7) = sk_c6),
% 1.05/0.92 inference(transitivity,[status(thm)],[33, 24, 23])).
% 1.05/0.92 tff(35,plain,
% 1.05/0.92 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[34])).
% 1.05/0.92 tff(36,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(37,plain,
% 1.05/0.92 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[36, 31])).
% 1.05/0.92 tff(38,plain,
% 1.05/0.92 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[37])).
% 1.05/0.92 tff(39,assumption,(~(multiply(sk_c3, sk_c6) = sk_c7)), introduced(assumption)).
% 1.05/0.92 tff(40,plain,
% 1.05/0.92 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(41,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 1.05/0.92 tff(42,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[41, 40])).
% 1.05/0.92 tff(43,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[42, 40])).
% 1.05/0.92 tff(44,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[43, 40])).
% 1.05/0.92 tff(45,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[44, 40])).
% 1.05/0.92 tff(46,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[45, 40])).
% 1.05/0.92 tff(47,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[46, 40])).
% 1.05/0.92 tff(48,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[47, 40])).
% 1.05/0.92 tff(49,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[48, 40])).
% 1.05/0.92 tff(50,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c6) = sk_c5),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[49, 39])).
% 1.05/0.92 tff(51,plain,
% 1.05/0.92 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(52,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 1.05/0.92 tff(53,plain,
% 1.05/0.92 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[52, 51])).
% 1.05/0.92 tff(54,plain,
% 1.05/0.92 (multiply(sk_c1, sk_c7) = sk_c6),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[53, 39])).
% 1.05/0.92 tff(55,plain,
% 1.05/0.92 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[54])).
% 1.05/0.92 tff(56,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(57,plain,
% 1.05/0.92 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[56, 31])).
% 1.05/0.92 tff(58,plain,
% 1.05/0.92 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(59,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 1.05/0.92 tff(60,plain,
% 1.05/0.92 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[59, 58])).
% 1.05/0.92 tff(61,plain,
% 1.05/0.92 (inverse(sk_c1) = sk_c7),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[60, 39])).
% 1.05/0.92 tff(62,plain,
% 1.05/0.92 (sk_c7 = inverse(sk_c1)),
% 1.05/0.92 inference(symmetry,[status(thm)],[61])).
% 1.05/0.92 tff(63,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[62])).
% 1.05/0.92 tff(64,plain,
% 1.05/0.92 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.05/0.92 inference(symmetry,[status(thm)],[63])).
% 1.05/0.92 tff(65,plain,
% 1.05/0.92 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 1.05/0.92 inference(bind,[status(th)],[])).
% 1.05/0.92 tff(66,plain,
% 1.05/0.92 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.05/0.92 inference(quant_intro,[status(thm)],[65])).
% 1.05/0.92 tff(67,plain,
% 1.05/0.92 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(68,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 1.05/0.92 tff(69,plain,
% 1.05/0.92 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[68, 67])).
% 1.05/0.92 tff(70,plain,(
% 1.05/0.92 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.05/0.92 inference(skolemize,[status(sab)],[69])).
% 1.05/0.92 tff(71,plain,
% 1.05/0.92 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[70, 66])).
% 1.05/0.92 tff(72,plain,
% 1.05/0.92 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(73,plain,
% 1.05/0.92 (multiply(inverse(sk_c1), sk_c1) = identity),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[72, 71])).
% 1.05/0.92 tff(74,plain,
% 1.05/0.92 (identity = multiply(inverse(sk_c1), sk_c1)),
% 1.05/0.92 inference(symmetry,[status(thm)],[73])).
% 1.05/0.92 tff(75,plain,
% 1.05/0.92 (identity = multiply(sk_c7, sk_c1)),
% 1.05/0.92 inference(transitivity,[status(thm)],[74, 64])).
% 1.05/0.92 tff(76,plain,
% 1.05/0.92 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[75])).
% 1.05/0.92 tff(77,plain,
% 1.05/0.92 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 1.05/0.92 inference(bind,[status(th)],[])).
% 1.05/0.92 tff(78,plain,
% 1.05/0.92 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 1.05/0.92 inference(quant_intro,[status(thm)],[77])).
% 1.05/0.92 tff(79,plain,
% 1.05/0.92 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(80,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 1.05/0.92 tff(81,plain,
% 1.05/0.92 (![X: $i] : (multiply(identity, X) = X)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[80, 79])).
% 1.05/0.92 tff(82,plain,(
% 1.05/0.92 ![X: $i] : (multiply(identity, X) = X)),
% 1.05/0.92 inference(skolemize,[status(sab)],[81])).
% 1.05/0.92 tff(83,plain,
% 1.05/0.92 (![X: $i] : (multiply(identity, X) = X)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[82, 78])).
% 1.05/0.92 tff(84,plain,
% 1.05/0.92 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(85,plain,
% 1.05/0.92 (multiply(identity, sk_c7) = sk_c7),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[84, 83])).
% 1.05/0.92 tff(86,plain,
% 1.05/0.92 (sk_c7 = multiply(identity, sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[85])).
% 1.05/0.92 tff(87,plain,
% 1.05/0.92 (sk_c7 = sk_c5),
% 1.05/0.92 inference(transitivity,[status(thm)],[86, 76, 57, 55, 50])).
% 1.05/0.92 tff(88,plain,
% 1.05/0.92 ((multiply(sk_c1, sk_c6) = sk_c7) <=> (multiply(sk_c1, sk_c6) = sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[87])).
% 1.05/0.92 tff(89,plain,
% 1.05/0.92 ((~(multiply(sk_c1, sk_c6) = sk_c7)) <=> (~(multiply(sk_c1, sk_c6) = sk_c5))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[88])).
% 1.05/0.92 tff(90,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[87])).
% 1.05/0.92 tff(91,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[90])).
% 1.05/0.92 tff(92,plain,
% 1.05/0.92 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(93,plain,
% 1.05/0.92 (multiply(inverse(sk_c2), sk_c2) = identity),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[92, 71])).
% 1.05/0.92 tff(94,plain,
% 1.05/0.92 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(95,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_28')).
% 1.05/0.92 tff(96,plain,
% 1.05/0.92 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[95, 94])).
% 1.05/0.92 tff(97,plain,
% 1.05/0.92 (inverse(sk_c2) = sk_c6),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[96, 39])).
% 1.05/0.92 tff(98,plain,
% 1.05/0.92 (sk_c6 = inverse(sk_c2)),
% 1.05/0.92 inference(symmetry,[status(thm)],[97])).
% 1.05/0.92 tff(99,plain,
% 1.05/0.92 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[98])).
% 1.05/0.92 tff(100,plain,
% 1.05/0.92 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c1)),
% 1.05/0.92 inference(transitivity,[status(thm)],[99, 93, 74, 64])).
% 1.05/0.92 tff(101,plain,
% 1.05/0.92 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[100])).
% 1.05/0.92 tff(102,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c7)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(103,plain,
% 1.05/0.92 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[102, 31])).
% 1.05/0.92 tff(104,plain,
% 1.05/0.92 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[103])).
% 1.05/0.92 tff(105,plain,
% 1.05/0.92 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[87])).
% 1.05/0.92 tff(106,plain,
% 1.05/0.92 (multiply(sk_c2, sk_c5) = multiply(sk_c2, sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[105])).
% 1.05/0.92 tff(107,plain,
% 1.05/0.92 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[106])).
% 1.05/0.92 tff(108,plain,
% 1.05/0.92 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = sk_c5),
% 1.05/0.92 inference(transitivity,[status(thm)],[107, 104, 101, 57, 55, 50])).
% 1.05/0.92 tff(109,plain,
% 1.05/0.92 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[76])).
% 1.05/0.92 tff(110,plain,
% 1.05/0.92 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[57])).
% 1.05/0.92 tff(111,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.05/0.92 inference(symmetry,[status(thm)],[55])).
% 1.05/0.92 tff(112,plain,
% 1.05/0.92 (sk_c5 = multiply(sk_c7, sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[50])).
% 1.05/0.92 tff(113,plain,
% 1.05/0.92 (sk_c5 = sk_c7),
% 1.05/0.92 inference(transitivity,[status(thm)],[112, 111, 110, 109, 85])).
% 1.05/0.92 tff(114,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c2, sk_c5))) = multiply(sk_c7, sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[113, 108])).
% 1.05/0.92 tff(115,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c2, sk_c5))))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(116,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[115, 31])).
% 1.05/0.92 tff(117,plain,
% 1.05/0.92 (multiply(sk_c5, sk_c6) = multiply(sk_c7, sk_c6)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[113])).
% 1.05/0.92 tff(118,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c6) = multiply(sk_c5, sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[117])).
% 1.05/0.92 tff(119,plain,
% 1.05/0.92 (sk_c5 = multiply(sk_c5, sk_c6)),
% 1.05/0.92 inference(transitivity,[status(thm)],[112, 118])).
% 1.05/0.92 tff(120,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c2, sk_c5))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[119])).
% 1.05/0.92 tff(121,plain,
% 1.05/0.92 (((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(122,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_23')).
% 1.05/0.92 tff(123,plain,
% 1.05/0.92 ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[122, 121])).
% 1.05/0.92 tff(124,plain,
% 1.05/0.92 (multiply(sk_c2, sk_c6) = sk_c5),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[123, 39])).
% 1.05/0.92 tff(125,plain,
% 1.05/0.92 (multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c5, multiply(sk_c2, sk_c5))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[124])).
% 1.05/0.92 tff(126,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5))))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(127,plain,
% 1.05/0.92 (multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[126, 31])).
% 1.05/0.92 tff(128,plain,
% 1.05/0.92 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5))) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5))),
% 1.05/0.92 inference(symmetry,[status(thm)],[127])).
% 1.05/0.92 tff(129,plain,
% 1.05/0.92 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 1.05/0.92 inference(symmetry,[status(thm)],[107])).
% 1.05/0.92 tff(130,plain,
% 1.05/0.92 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[101])).
% 1.05/0.92 tff(131,plain,
% 1.05/0.92 (sk_c5 = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 1.05/0.92 inference(transitivity,[status(thm)],[112, 111, 110, 130, 103, 129])).
% 1.05/0.92 tff(132,plain,
% 1.05/0.92 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[131])).
% 1.05/0.92 tff(133,plain,
% 1.05/0.92 (multiply(sk_c2, sk_c5) = multiply(sk_c7, sk_c7)),
% 1.05/0.92 inference(transitivity,[status(thm)],[132, 128, 125, 120, 116, 114, 91])).
% 1.05/0.92 tff(134,plain,
% 1.05/0.92 ((multiply(sk_c2, sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[133])).
% 1.05/0.92 tff(135,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[134])).
% 1.05/0.92 tff(136,plain,
% 1.05/0.92 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[87])).
% 1.05/0.92 tff(137,plain,
% 1.05/0.92 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[136])).
% 1.05/0.92 tff(138,plain,
% 1.05/0.92 (sk_c7 = multiply(sk_c5, sk_c6)),
% 1.05/0.92 inference(transitivity,[status(thm)],[86, 76, 57, 55, 118])).
% 1.05/0.92 tff(139,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c5, sk_c6), sk_c2)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[138])).
% 1.05/0.92 tff(140,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c7, sk_c2)),
% 1.05/0.92 inference(symmetry,[status(thm)],[139])).
% 1.05/0.92 tff(141,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c5, multiply(sk_c6, sk_c2)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(142,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c5, multiply(sk_c6, sk_c2))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[141, 31])).
% 1.05/0.92 tff(143,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c5, sk_c6), sk_c2)),
% 1.05/0.92 inference(symmetry,[status(thm)],[142])).
% 1.05/0.92 tff(144,plain,
% 1.05/0.92 (((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.05/0.92 inference(rewrite,[status(thm)],[])).
% 1.05/0.92 tff(145,axiom,((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 1.05/0.92 tff(146,plain,
% 1.05/0.92 ((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[145, 144])).
% 1.05/0.92 tff(147,plain,
% 1.05/0.92 (inverse(sk_c7) = sk_c5),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[146, 39])).
% 1.05/0.92 tff(148,plain,
% 1.05/0.92 (sk_c5 = inverse(sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[147])).
% 1.05/0.92 tff(149,plain,
% 1.05/0.92 (sk_c7 = inverse(sk_c7)),
% 1.05/0.92 inference(transitivity,[status(thm)],[86, 76, 57, 55, 50, 148])).
% 1.05/0.92 tff(150,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c7), sk_c7)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[149, 113])).
% 1.05/0.92 tff(151,plain,
% 1.05/0.92 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c7, sk_c5)),
% 1.05/0.92 inference(symmetry,[status(thm)],[150])).
% 1.05/0.92 tff(152,plain,
% 1.05/0.92 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(153,plain,
% 1.05/0.92 (multiply(inverse(sk_c7), sk_c7) = identity),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[152, 71])).
% 1.05/0.92 tff(154,plain,
% 1.05/0.92 (identity = multiply(inverse(sk_c7), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[153])).
% 1.05/0.92 tff(155,plain,
% 1.05/0.92 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c7)),
% 1.05/0.92 inference(transitivity,[status(thm)],[99, 93, 154, 151, 91])).
% 1.05/0.92 tff(156,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(sk_c6, sk_c2)) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[155])).
% 1.05/0.92 tff(157,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(sk_c5, multiply(sk_c6, sk_c2))),
% 1.05/0.92 inference(symmetry,[status(thm)],[156])).
% 1.05/0.92 tff(158,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(159,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[158, 31])).
% 1.05/0.92 tff(160,plain,
% 1.05/0.92 (multiply(sk_c5, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[148])).
% 1.05/0.92 tff(161,plain,
% 1.05/0.92 (multiply(sk_c5, sk_c7) = multiply(sk_c7, sk_c1)),
% 1.05/0.92 inference(transitivity,[status(thm)],[160, 153, 74, 64])).
% 1.05/0.92 tff(162,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[161])).
% 1.05/0.92 tff(163,plain,
% 1.05/0.92 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c5, sk_c7), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[162])).
% 1.05/0.92 tff(164,plain,
% 1.05/0.92 (sk_c5 = multiply(sk_c7, sk_c2)),
% 1.05/0.92 inference(transitivity,[status(thm)],[112, 111, 110, 163, 159, 157, 143, 140])).
% 1.05/0.92 tff(165,plain,
% 1.05/0.92 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[164])).
% 1.05/0.92 tff(166,plain,
% 1.05/0.92 (multiply(sk_c1, multiply(sk_c7, sk_c2)) = multiply(sk_c1, sk_c5)),
% 1.05/0.92 inference(symmetry,[status(thm)],[165])).
% 1.05/0.92 tff(167,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(168,plain,
% 1.05/0.92 (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[167, 31])).
% 1.05/0.92 tff(169,plain,
% 1.05/0.92 (multiply(sk_c1, sk_c7) = inverse(sk_c2)),
% 1.05/0.92 inference(transitivity,[status(thm)],[54, 98])).
% 1.05/0.92 tff(170,plain,
% 1.05/0.92 (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[169])).
% 1.05/0.92 tff(171,plain,
% 1.05/0.92 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c1, sk_c7), sk_c2)),
% 1.05/0.92 inference(symmetry,[status(thm)],[170])).
% 1.05/0.92 tff(172,plain,
% 1.05/0.92 (identity = multiply(inverse(sk_c2), sk_c2)),
% 1.05/0.92 inference(symmetry,[status(thm)],[93])).
% 1.05/0.92 tff(173,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c7) = sk_c6),
% 1.05/0.92 inference(transitivity,[status(thm)],[90, 150, 153, 172, 171, 168, 166, 137, 54])).
% 1.05/0.92 tff(174,plain,
% 1.05/0.92 (multiply(sk_c2, sk_c5) = sk_c6),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[173, 135])).
% 1.05/0.92 tff(175,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c6) = inverse(sk_c7)),
% 1.05/0.92 inference(transitivity,[status(thm)],[50, 148])).
% 1.05/0.92 tff(176,plain,
% 1.05/0.92 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[175])).
% 1.05/0.92 tff(177,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(178,plain,
% 1.05/0.92 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[177, 31])).
% 1.05/0.92 tff(179,plain,
% 1.05/0.92 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[178])).
% 1.05/0.92 tff(180,plain,
% 1.05/0.92 (sk_c5 = multiply(sk_c2, sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[124])).
% 1.05/0.92 tff(181,plain,
% 1.05/0.92 (sk_c7 = multiply(sk_c2, sk_c6)),
% 1.05/0.92 inference(transitivity,[status(thm)],[86, 76, 57, 55, 50, 180])).
% 1.05/0.92 tff(182,plain,
% 1.05/0.92 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[181])).
% 1.05/0.92 tff(183,plain,
% 1.05/0.92 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[182])).
% 1.05/0.92 tff(184,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(185,plain,
% 1.05/0.92 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[184, 31])).
% 1.05/0.92 tff(186,plain,
% 1.05/0.92 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 1.05/0.92 inference(symmetry,[status(thm)],[99])).
% 1.05/0.92 tff(187,plain,
% 1.05/0.92 (identity = multiply(sk_c6, sk_c2)),
% 1.05/0.92 inference(transitivity,[status(thm)],[172, 186])).
% 1.05/0.92 tff(188,plain,
% 1.05/0.92 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[187])).
% 1.05/0.92 tff(189,plain,
% 1.05/0.92 (multiply(identity, sk_c6) = multiply(sk_c6, sk_c7)),
% 1.05/0.92 inference(transitivity,[status(thm)],[188, 185, 183])).
% 1.05/0.92 tff(190,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(identity, sk_c6)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[113, 189])).
% 1.05/0.92 tff(191,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, identity), sk_c6) = multiply(sk_c5, multiply(identity, sk_c6)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(192,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, identity), sk_c6) = multiply(sk_c5, multiply(identity, sk_c6))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[191, 31])).
% 1.05/0.92 tff(193,plain,
% 1.05/0.92 (identity = multiply(sk_c7, sk_c7)),
% 1.05/0.92 inference(transitivity,[status(thm)],[154, 151, 91])).
% 1.05/0.92 tff(194,plain,
% 1.05/0.92 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 1.05/0.92 inference(monotonicity,[status(thm)],[193])).
% 1.05/0.92 tff(195,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(sk_c5, identity)),
% 1.05/0.92 inference(symmetry,[status(thm)],[194])).
% 1.05/0.92 tff(196,plain,
% 1.05/0.92 (sk_c7 = multiply(sk_c5, identity)),
% 1.05/0.92 inference(transitivity,[status(thm)],[86, 76, 163, 159, 195])).
% 1.05/0.92 tff(197,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c5, identity), sk_c6)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[196])).
% 1.05/0.92 tff(198,plain,
% 1.05/0.92 (inverse(sk_c7) = multiply(sk_c7, sk_c7)),
% 1.05/0.92 inference(transitivity,[status(thm)],[147, 112, 197, 192, 190, 179, 176, 151, 91])).
% 1.05/0.92 tff(199,plain,
% 1.05/0.92 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[198])).
% 1.05/0.92 tff(200,plain,
% 1.05/0.92 ((multiply(sk_c7, sk_c7) = sk_c6) <=> (inverse(sk_c7) = sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[199])).
% 1.05/0.92 tff(201,plain,
% 1.05/0.92 (inverse(sk_c7) = sk_c6),
% 1.05/0.92 inference(modus_ponens,[status(thm)],[173, 200])).
% 1.05/0.92 tff(202,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, identity), sk_c6) = multiply(sk_c7, sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[197])).
% 1.05/0.92 tff(203,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(identity, sk_c6)) = multiply(multiply(sk_c5, identity), sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[192])).
% 1.05/0.92 tff(204,plain,
% 1.05/0.92 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c5, multiply(identity, sk_c6))),
% 1.05/0.92 inference(symmetry,[status(thm)],[190])).
% 1.05/0.92 tff(205,plain,
% 1.05/0.92 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.05/0.92 inference(symmetry,[status(thm)],[176])).
% 1.05/0.92 tff(206,plain,
% 1.05/0.92 (multiply(sk_c5, sk_c6) = sk_c5),
% 1.05/0.92 inference(transitivity,[status(thm)],[117, 50])).
% 1.05/0.92 tff(207,plain,
% 1.05/0.92 (multiply(sk_c5, multiply(sk_c5, sk_c6)) = multiply(sk_c7, sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[113, 206])).
% 1.05/0.92 tff(208,plain,
% 1.05/0.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6)))),
% 1.05/0.92 inference(quant_inst,[status(thm)],[])).
% 1.05/0.92 tff(209,plain,
% 1.05/0.92 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 1.05/0.92 inference(unit_resolution,[status(thm)],[208, 31])).
% 1.05/0.92 tff(210,plain,
% 1.05/0.92 (multiply(sk_c5, sk_c5) = multiply(sk_c7, sk_c5)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[113])).
% 1.05/0.92 tff(211,plain,
% 1.05/0.92 (multiply(sk_c7, sk_c5) = multiply(sk_c5, sk_c5)),
% 1.05/0.92 inference(symmetry,[status(thm)],[210])).
% 1.05/0.92 tff(212,plain,
% 1.05/0.92 (multiply(sk_c6, sk_c2) = multiply(sk_c5, sk_c5)),
% 1.05/0.92 inference(transitivity,[status(thm)],[99, 93, 154, 151, 211])).
% 1.05/0.92 tff(213,plain,
% 1.05/0.92 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 1.05/0.92 inference(monotonicity,[status(thm)],[212])).
% 1.05/0.92 tff(214,plain,
% 1.05/0.92 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 1.05/0.92 inference(symmetry,[status(thm)],[185])).
% 1.05/0.92 tff(215,plain,
% 1.05/0.92 (multiply(sk_c6, sk_c7) = sk_c5),
% 1.05/0.92 inference(transitivity,[status(thm)],[182, 214, 213, 209, 207, 150, 205, 178, 204, 203, 202, 50])).
% 1.05/0.92 tff(216,plain,
% 1.05/0.92 (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))),
% 1.05/0.93 inference(bind,[status(th)],[])).
% 1.05/0.93 tff(217,plain,
% 1.05/0.93 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.05/0.93 inference(quant_intro,[status(thm)],[216])).
% 1.05/0.93 tff(218,plain,
% 1.05/0.93 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.05/0.93 inference(rewrite,[status(thm)],[])).
% 1.05/0.93 tff(219,plain,
% 1.05/0.93 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c6) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 1.05/0.93 inference(bind,[status(th)],[])).
% 1.05/0.93 tff(220,plain,
% 1.05/0.93 (![X4: $i, X3: $i, X2: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.05/0.93 inference(quant_intro,[status(thm)],[219])).
% 1.05/0.93 tff(221,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_31')).
% 1.05/0.93 tff(222,plain,
% 1.05/0.93 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.05/0.93 inference(modus_ponens,[status(thm)],[221, 220])).
% 1.05/0.93 tff(223,plain,
% 1.05/0.93 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.11/0.93 inference(modus_ponens,[status(thm)],[222, 218])).
% 1.11/0.93 tff(224,plain,(
% 1.11/0.93 ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.11/0.93 inference(skolemize,[status(sab)],[223])).
% 1.11/0.93 tff(225,plain,
% 1.11/0.93 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.11/0.93 inference(modus_ponens,[status(thm)],[224, 217])).
% 1.11/0.93 tff(226,plain,
% 1.11/0.93 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))),
% 1.11/0.93 inference(rewrite,[status(thm)],[])).
% 1.11/0.93 tff(227,plain,
% 1.11/0.93 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))),
% 1.11/0.93 inference(rewrite,[status(thm)],[])).
% 1.11/0.93 tff(228,plain,
% 1.11/0.93 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6))))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[227])).
% 1.11/0.94 tff(229,plain,
% 1.11/0.94 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))),
% 1.11/0.94 inference(transitivity,[status(thm)],[228, 226])).
% 1.11/0.94 tff(230,plain,
% 1.11/0.94 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(231,plain,
% 1.11/0.94 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6))),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[230, 229])).
% 1.11/0.94 tff(232,plain,
% 1.11/0.94 ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[231, 50, 54, 61, 147, 97, 225])).
% 1.11/0.94 tff(233,plain,
% 1.11/0.94 (~(multiply(sk_c1, sk_c6) = sk_c7)),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[232, 215, 201, 174])).
% 1.11/0.94 tff(234,plain,
% 1.11/0.94 (~(multiply(sk_c1, sk_c6) = sk_c5)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[233, 89])).
% 1.11/0.94 tff(235,plain,
% 1.11/0.94 (multiply(sk_c1, sk_c5) = sk_c6),
% 1.11/0.94 inference(transitivity,[status(thm)],[137, 54])).
% 1.11/0.94 tff(236,plain,
% 1.11/0.94 (multiply(multiply(sk_c1, sk_c5), sk_c5) = multiply(sk_c6, sk_c7)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[235, 113])).
% 1.11/0.94 tff(237,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c5), sk_c5) = multiply(sk_c1, multiply(sk_c5, sk_c5)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(238,plain,
% 1.11/0.94 (multiply(multiply(sk_c1, sk_c5), sk_c5) = multiply(sk_c1, multiply(sk_c5, sk_c5))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[237, 31])).
% 1.11/0.94 tff(239,plain,
% 1.11/0.94 (multiply(sk_c1, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c1, sk_c5), sk_c5)),
% 1.11/0.94 inference(symmetry,[status(thm)],[238])).
% 1.11/0.94 tff(240,plain,
% 1.11/0.94 (identity = multiply(sk_c5, sk_c5)),
% 1.11/0.94 inference(transitivity,[status(thm)],[154, 151, 211])).
% 1.11/0.94 tff(241,plain,
% 1.11/0.94 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c5, sk_c5))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[240])).
% 1.11/0.94 tff(242,plain,
% 1.11/0.94 (multiply(sk_c1, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c1, sk_c7), sk_c2)),
% 1.11/0.94 inference(symmetry,[status(thm)],[168])).
% 1.11/0.94 tff(243,plain,
% 1.11/0.94 (sk_c6 = multiply(sk_c1, sk_c7)),
% 1.11/0.94 inference(symmetry,[status(thm)],[54])).
% 1.11/0.94 tff(244,plain,
% 1.11/0.94 (sk_c6 = identity),
% 1.11/0.94 inference(transitivity,[status(thm)],[243, 136, 165, 242, 170, 93])).
% 1.11/0.94 tff(245,plain,
% 1.11/0.94 (multiply(sk_c1, sk_c6) = multiply(sk_c1, identity)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[244])).
% 1.11/0.94 tff(246,plain,
% 1.11/0.94 (multiply(sk_c1, sk_c6) = sk_c5),
% 1.11/0.94 inference(transitivity,[status(thm)],[245, 241, 239, 236, 182, 214, 213, 209, 207, 150, 205, 178, 204, 203, 202, 50])).
% 1.11/0.94 tff(247,plain,
% 1.11/0.94 ($false),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[246, 234])).
% 1.11/0.94 tff(248,plain,(multiply(sk_c3, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 1.11/0.94 tff(249,plain,
% 1.11/0.94 (sk_c7 = multiply(sk_c3, sk_c6)),
% 1.11/0.94 inference(symmetry,[status(thm)],[248])).
% 1.11/0.94 tff(250,plain,
% 1.11/0.94 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[249])).
% 1.11/0.94 tff(251,plain,
% 1.11/0.94 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(sk_c7, sk_c7)),
% 1.11/0.94 inference(symmetry,[status(thm)],[250])).
% 1.11/0.94 tff(252,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(253,plain,
% 1.11/0.94 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[252, 31])).
% 1.11/0.94 tff(254,plain,
% 1.11/0.94 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(255,plain,
% 1.11/0.94 (multiply(inverse(sk_c3), sk_c3) = identity),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[254, 71])).
% 1.11/0.94 tff(256,plain,
% 1.11/0.94 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7))),
% 1.11/0.94 inference(rewrite,[status(thm)],[])).
% 1.11/0.94 tff(257,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 1.11/0.94 tff(258,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[257, 256])).
% 1.11/0.94 tff(259,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[258, 256])).
% 1.11/0.94 tff(260,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[259, 256])).
% 1.11/0.94 tff(261,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[260, 256])).
% 1.11/0.94 tff(262,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[261, 256])).
% 1.11/0.94 tff(263,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[262, 256])).
% 1.11/0.94 tff(264,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[263, 256])).
% 1.11/0.94 tff(265,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[264, 256])).
% 1.11/0.94 tff(266,plain,
% 1.11/0.94 (inverse(sk_c3) = sk_c7),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[265, 1])).
% 1.11/0.94 tff(267,plain,
% 1.11/0.94 (sk_c7 = inverse(sk_c3)),
% 1.11/0.94 inference(symmetry,[status(thm)],[266])).
% 1.11/0.94 tff(268,plain,
% 1.11/0.94 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[267])).
% 1.11/0.94 tff(269,plain,
% 1.11/0.94 (multiply(sk_c7, sk_c3) = identity),
% 1.11/0.94 inference(transitivity,[status(thm)],[268, 255])).
% 1.11/0.94 tff(270,plain,
% 1.11/0.94 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[269])).
% 1.11/0.94 tff(271,plain,
% 1.11/0.94 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.11/0.94 inference(symmetry,[status(thm)],[270])).
% 1.11/0.94 tff(272,plain,
% 1.11/0.94 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(273,plain,
% 1.11/0.94 (multiply(identity, sk_c6) = sk_c6),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[272, 83])).
% 1.11/0.94 tff(274,plain,
% 1.11/0.94 (sk_c6 = multiply(identity, sk_c6)),
% 1.11/0.94 inference(symmetry,[status(thm)],[273])).
% 1.11/0.94 tff(275,plain,
% 1.11/0.94 (sk_c6 = multiply(sk_c7, sk_c7)),
% 1.11/0.94 inference(transitivity,[status(thm)],[274, 271, 253, 251])).
% 1.11/0.94 tff(276,plain,
% 1.11/0.94 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c4, sk_c6), sk_c7)),
% 1.11/0.94 inference(symmetry,[status(thm)],[33])).
% 1.11/0.94 tff(277,plain,
% 1.11/0.94 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.11/0.94 inference(symmetry,[status(thm)],[24])).
% 1.11/0.94 tff(278,plain,
% 1.11/0.94 (sk_c6 = multiply(sk_c4, sk_c5)),
% 1.11/0.94 inference(symmetry,[status(thm)],[23])).
% 1.11/0.94 tff(279,plain,
% 1.11/0.94 (sk_c6 = multiply(multiply(sk_c4, sk_c6), sk_c7)),
% 1.11/0.94 inference(transitivity,[status(thm)],[278, 277, 276])).
% 1.11/0.94 tff(280,plain,
% 1.11/0.94 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[279])).
% 1.11/0.94 tff(281,plain,
% 1.11/0.94 (multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)) = multiply(sk_c4, sk_c6)),
% 1.11/0.94 inference(symmetry,[status(thm)],[280])).
% 1.11/0.94 tff(282,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), sk_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[281, 275])).
% 1.11/0.94 tff(283,plain,
% 1.11/0.94 (multiply(sk_c4, multiply(sk_c4, sk_c5)) = multiply(sk_c4, sk_c6)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[23])).
% 1.11/0.94 tff(284,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c4), sk_c5) = multiply(sk_c4, multiply(sk_c4, sk_c5)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(285,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c4), sk_c5) = multiply(sk_c4, multiply(sk_c4, sk_c5))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[284, 31])).
% 1.11/0.94 tff(286,plain,
% 1.11/0.94 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[248])).
% 1.11/0.94 tff(287,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(288,plain,
% 1.11/0.94 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[287, 31])).
% 1.11/0.94 tff(289,plain,
% 1.11/0.94 (multiply(sk_c6, sk_c3) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[279])).
% 1.11/0.94 tff(290,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 1.11/0.94 inference(symmetry,[status(thm)],[289])).
% 1.11/0.94 tff(291,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(292,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[291, 31])).
% 1.11/0.94 tff(293,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3)),
% 1.11/0.94 inference(symmetry,[status(thm)],[292])).
% 1.11/0.94 tff(294,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)) = multiply(sk_c6, sk_c3)),
% 1.11/0.94 inference(transitivity,[status(thm)],[293, 290])).
% 1.11/0.94 tff(295,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[294])).
% 1.11/0.94 tff(296,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6) = sk_c5),
% 1.11/0.94 inference(transitivity,[status(thm)],[295, 288, 286, 12])).
% 1.11/0.94 tff(297,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6)) = multiply(multiply(sk_c4, sk_c4), sk_c5)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[296])).
% 1.11/0.94 tff(298,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(299,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[298, 31])).
% 1.11/0.94 tff(300,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6) = multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7))),
% 1.11/0.94 inference(transitivity,[status(thm)],[299, 297, 285, 283, 280])).
% 1.11/0.94 tff(301,plain,
% 1.11/0.94 (multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), sk_c6)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[300])).
% 1.11/0.94 tff(302,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(303,plain,
% 1.11/0.94 (multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[302, 31])).
% 1.11/0.94 tff(304,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6)),
% 1.11/0.94 inference(symmetry,[status(thm)],[303])).
% 1.11/0.94 tff(305,plain,
% 1.11/0.94 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[278])).
% 1.11/0.94 tff(306,plain,
% 1.11/0.94 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 1.11/0.94 inference(symmetry,[status(thm)],[305])).
% 1.11/0.94 tff(307,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(308,plain,
% 1.11/0.94 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[307, 31])).
% 1.11/0.94 tff(309,plain,
% 1.11/0.94 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(310,plain,
% 1.11/0.94 (multiply(inverse(sk_c4), sk_c4) = identity),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[309, 71])).
% 1.11/0.94 tff(311,plain,
% 1.11/0.94 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6))),
% 1.11/0.94 inference(rewrite,[status(thm)],[])).
% 1.11/0.94 tff(312,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 1.11/0.94 tff(313,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[312, 311])).
% 1.11/0.94 tff(314,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[313, 311])).
% 1.11/0.94 tff(315,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[314, 311])).
% 1.11/0.94 tff(316,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[315, 311])).
% 1.11/0.94 tff(317,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[316, 311])).
% 1.11/0.94 tff(318,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[317, 311])).
% 1.11/0.94 tff(319,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[318, 311])).
% 1.11/0.94 tff(320,plain,
% 1.11/0.94 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[319, 311])).
% 1.11/0.94 tff(321,plain,
% 1.11/0.94 (inverse(sk_c4) = sk_c6),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[320, 1])).
% 1.11/0.94 tff(322,plain,
% 1.11/0.94 (sk_c6 = inverse(sk_c4)),
% 1.11/0.94 inference(symmetry,[status(thm)],[321])).
% 1.11/0.94 tff(323,plain,
% 1.11/0.94 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[322])).
% 1.11/0.94 tff(324,plain,
% 1.11/0.94 (multiply(sk_c6, sk_c4) = identity),
% 1.11/0.94 inference(transitivity,[status(thm)],[323, 310])).
% 1.11/0.94 tff(325,plain,
% 1.11/0.94 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[324])).
% 1.11/0.94 tff(326,plain,
% 1.11/0.94 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 1.11/0.94 inference(symmetry,[status(thm)],[325])).
% 1.11/0.94 tff(327,plain,
% 1.11/0.94 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(328,plain,
% 1.11/0.94 (multiply(identity, sk_c5) = sk_c5),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[327, 83])).
% 1.11/0.94 tff(329,plain,
% 1.11/0.94 (sk_c5 = multiply(identity, sk_c5)),
% 1.11/0.94 inference(symmetry,[status(thm)],[328])).
% 1.11/0.94 tff(330,plain,
% 1.11/0.94 (sk_c5 = multiply(sk_c6, sk_c6)),
% 1.11/0.94 inference(transitivity,[status(thm)],[329, 326, 308, 306])).
% 1.11/0.94 tff(331,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[330])).
% 1.11/0.94 tff(332,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(333,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[332, 31])).
% 1.11/0.94 tff(334,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5)),
% 1.11/0.94 inference(symmetry,[status(thm)],[333])).
% 1.11/0.94 tff(335,plain,
% 1.11/0.94 (sk_c5 = multiply(sk_c6, sk_c7)),
% 1.11/0.94 inference(symmetry,[status(thm)],[12])).
% 1.11/0.94 tff(336,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[294, 335])).
% 1.11/0.94 tff(337,plain,
% 1.11/0.94 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)),
% 1.11/0.94 inference(symmetry,[status(thm)],[336])).
% 1.11/0.94 tff(338,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(339,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[338, 31])).
% 1.11/0.94 tff(340,plain,
% 1.11/0.94 (multiply(multiply(sk_c6, sk_c3), sk_c6) = sk_c5),
% 1.11/0.94 inference(transitivity,[status(thm)],[288, 286, 12])).
% 1.11/0.94 tff(341,plain,
% 1.11/0.94 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(sk_c5, sk_c7)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[340])).
% 1.11/0.94 tff(342,plain,
% 1.11/0.94 (multiply(sk_c5, sk_c7) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 1.11/0.94 inference(symmetry,[status(thm)],[341])).
% 1.11/0.94 tff(343,plain,
% 1.11/0.94 (multiply(sk_c5, sk_c7) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)),
% 1.11/0.94 inference(transitivity,[status(thm)],[342, 339, 337])).
% 1.11/0.94 tff(344,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[343])).
% 1.11/0.94 tff(345,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7))))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(346,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[345, 31])).
% 1.11/0.94 tff(347,plain,
% 1.11/0.94 (multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7))),
% 1.11/0.94 inference(symmetry,[status(thm)],[346])).
% 1.11/0.94 tff(348,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(349,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[348, 31])).
% 1.11/0.94 tff(350,plain,
% 1.11/0.94 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c6, sk_c7)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[23])).
% 1.11/0.94 tff(351,plain,
% 1.11/0.94 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 1.11/0.94 inference(symmetry,[status(thm)],[350])).
% 1.11/0.94 tff(352,plain,
% 1.11/0.94 (sk_c5 = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 1.11/0.94 inference(transitivity,[status(thm)],[335, 351, 349])).
% 1.11/0.94 tff(353,plain,
% 1.11/0.94 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[352])).
% 1.11/0.94 tff(354,plain,
% 1.11/0.94 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.11/0.94 inference(symmetry,[status(thm)],[253])).
% 1.11/0.94 tff(355,plain,
% 1.11/0.94 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[248])).
% 1.11/0.94 tff(356,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(357,plain,
% 1.11/0.94 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[356, 31])).
% 1.11/0.94 tff(358,plain,
% 1.11/0.94 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 1.11/0.94 inference(symmetry,[status(thm)],[357])).
% 1.11/0.94 tff(359,plain,
% 1.11/0.94 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.11/0.94 inference(monotonicity,[status(thm)],[335])).
% 1.11/0.94 tff(360,plain,
% 1.11/0.94 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 1.11/0.94 inference(symmetry,[status(thm)],[308])).
% 1.11/0.94 tff(361,plain,
% 1.11/0.94 (multiply(sk_c6, sk_c6) = sk_c5),
% 1.11/0.94 inference(transitivity,[status(thm)],[305, 360, 325, 328])).
% 1.11/0.94 tff(362,plain,
% 1.11/0.94 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[361])).
% 1.11/0.94 tff(363,plain,
% 1.11/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 1.11/0.94 inference(quant_inst,[status(thm)],[])).
% 1.11/0.94 tff(364,plain,
% 1.11/0.94 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[363, 31])).
% 1.11/0.94 tff(365,plain,
% 1.11/0.94 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[249])).
% 1.11/0.94 tff(366,plain,
% 1.11/0.94 (multiply(sk_c7, sk_c6) = sk_c5),
% 1.11/0.94 inference(transitivity,[status(thm)],[365, 364, 362, 359, 358, 355, 250, 354, 270, 273, 278, 353, 347, 344, 334, 331, 304, 301, 282, 38, 35, 12])).
% 1.11/0.94 tff(367,plain,
% 1.11/0.94 ($false),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[1, 366])).
% 1.11/0.94 tff(368,plain,(multiply(sk_c7, sk_c6) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 1.11/0.94 tff(369,assumption,(~(multiply(sk_c6, sk_c7) = sk_c5)), introduced(assumption)).
% 1.11/0.94 tff(370,plain,
% 1.11/0.94 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 1.11/0.94 inference(rewrite,[status(thm)],[])).
% 1.11/0.94 tff(371,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 1.11/0.94 tff(372,plain,
% 1.11/0.94 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[371, 370])).
% 1.11/0.94 tff(373,plain,
% 1.11/0.94 (multiply(sk_c1, sk_c7) = sk_c6),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[372, 369])).
% 1.11/0.94 tff(374,plain,
% 1.11/0.94 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[373])).
% 1.11/0.94 tff(375,plain,
% 1.11/0.94 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 1.11/0.94 inference(rewrite,[status(thm)],[])).
% 1.11/0.94 tff(376,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 1.11/0.94 tff(377,plain,
% 1.11/0.94 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.11/0.94 inference(modus_ponens,[status(thm)],[376, 375])).
% 1.11/0.94 tff(378,plain,
% 1.11/0.94 (inverse(sk_c1) = sk_c7),
% 1.11/0.94 inference(unit_resolution,[status(thm)],[377, 369])).
% 1.11/0.94 tff(379,plain,
% 1.11/0.94 (sk_c7 = inverse(sk_c1)),
% 1.11/0.94 inference(symmetry,[status(thm)],[378])).
% 1.11/0.94 tff(380,plain,
% 1.11/0.94 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 1.11/0.94 inference(monotonicity,[status(thm)],[379])).
% 1.11/0.94 tff(381,plain,
% 1.11/0.94 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.11/0.94 inference(symmetry,[status(thm)],[380])).
% 1.11/0.94 tff(382,plain,
% 1.11/0.94 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 1.11/0.95 inference(rewrite,[status(thm)],[])).
% 1.11/0.95 tff(383,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_26')).
% 1.11/0.95 tff(384,plain,
% 1.11/0.95 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 1.11/0.95 inference(modus_ponens,[status(thm)],[383, 382])).
% 1.11/0.95 tff(385,plain,
% 1.11/0.95 (inverse(sk_c2) = sk_c6),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[384, 369])).
% 1.11/0.95 tff(386,plain,
% 1.11/0.95 (sk_c6 = inverse(sk_c2)),
% 1.11/0.95 inference(symmetry,[status(thm)],[385])).
% 1.11/0.95 tff(387,plain,
% 1.11/0.95 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[386])).
% 1.11/0.95 tff(388,plain,
% 1.11/0.95 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c1)),
% 1.11/0.95 inference(transitivity,[status(thm)],[387, 93, 74, 381])).
% 1.11/0.95 tff(389,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[388])).
% 1.11/0.95 tff(390,plain,
% 1.11/0.95 (identity = multiply(sk_c7, sk_c1)),
% 1.11/0.95 inference(transitivity,[status(thm)],[74, 381])).
% 1.11/0.95 tff(391,plain,
% 1.11/0.95 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[390])).
% 1.11/0.95 tff(392,plain,
% 1.11/0.95 (sk_c7 = sk_c5),
% 1.11/0.95 inference(transitivity,[status(thm)],[86, 391, 57, 374, 368])).
% 1.11/0.95 tff(393,plain,
% 1.11/0.95 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c5)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[392])).
% 1.11/0.95 tff(394,plain,
% 1.11/0.95 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 1.11/0.95 inference(symmetry,[status(thm)],[393])).
% 1.11/0.95 tff(395,plain,
% 1.11/0.95 (sk_c5 = multiply(sk_c7, sk_c6)),
% 1.11/0.95 inference(symmetry,[status(thm)],[368])).
% 1.11/0.95 tff(396,plain,
% 1.11/0.95 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 1.11/0.95 inference(monotonicity,[status(thm)],[395])).
% 1.11/0.95 tff(397,plain,
% 1.11/0.95 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(sk_c1, sk_c5)),
% 1.11/0.95 inference(symmetry,[status(thm)],[396])).
% 1.11/0.95 tff(398,plain,
% 1.11/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c1, multiply(sk_c7, sk_c6)))),
% 1.11/0.95 inference(quant_inst,[status(thm)],[])).
% 1.11/0.95 tff(399,plain,
% 1.11/0.95 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[398, 31])).
% 1.11/0.95 tff(400,plain,
% 1.11/0.95 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[373])).
% 1.11/0.95 tff(401,plain,
% 1.11/0.95 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 1.11/0.95 inference(symmetry,[status(thm)],[400])).
% 1.11/0.95 tff(402,plain,
% 1.11/0.95 (sk_c6 = multiply(sk_c1, sk_c7)),
% 1.11/0.95 inference(symmetry,[status(thm)],[373])).
% 1.11/0.95 tff(403,plain,
% 1.11/0.95 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.11/0.95 inference(monotonicity,[status(thm)],[402])).
% 1.11/0.95 tff(404,plain,
% 1.11/0.95 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c6)),
% 1.11/0.95 inference(symmetry,[status(thm)],[403])).
% 1.11/0.95 tff(405,plain,
% 1.11/0.95 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = sk_c6),
% 1.11/0.95 inference(transitivity,[status(thm)],[404, 401, 399, 397, 394, 373])).
% 1.11/0.95 tff(406,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c6, sk_c6)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[405, 405])).
% 1.11/0.95 tff(407,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c6),
% 1.11/0.95 inference(transitivity,[status(thm)],[406, 401, 399, 397, 394, 373])).
% 1.11/0.95 tff(408,plain,
% 1.11/0.95 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 1.11/0.95 inference(monotonicity,[status(thm)],[407])).
% 1.11/0.95 tff(409,plain,
% 1.11/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))))),
% 1.11/0.95 inference(quant_inst,[status(thm)],[])).
% 1.11/0.95 tff(410,plain,
% 1.11/0.95 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7)))),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[409, 31])).
% 1.11/0.95 tff(411,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7))),
% 1.11/0.95 inference(symmetry,[status(thm)],[410])).
% 1.11/0.95 tff(412,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 1.11/0.95 inference(monotonicity,[status(thm)],[405])).
% 1.11/0.95 tff(413,plain,
% 1.11/0.95 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))),
% 1.11/0.95 inference(symmetry,[status(thm)],[412])).
% 1.11/0.95 tff(414,plain,
% 1.11/0.95 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 1.11/0.95 inference(symmetry,[status(thm)],[389])).
% 1.11/0.95 tff(415,plain,
% 1.11/0.95 (sk_c7 = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))),
% 1.11/0.95 inference(transitivity,[status(thm)],[86, 391, 414, 103, 413])).
% 1.11/0.95 tff(416,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7)))),
% 1.11/0.95 inference(monotonicity,[status(thm)],[415])).
% 1.11/0.95 tff(417,plain,
% 1.11/0.95 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 1.11/0.95 inference(symmetry,[status(thm)],[399])).
% 1.11/0.95 tff(418,plain,
% 1.11/0.95 (sk_c6 = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.11/0.95 inference(transitivity,[status(thm)],[402, 393, 396, 417, 400, 403])).
% 1.11/0.95 tff(419,plain,
% 1.11/0.95 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c7)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[418])).
% 1.11/0.95 tff(420,plain,
% 1.11/0.95 (multiply(sk_c6, sk_c7) = sk_c5),
% 1.11/0.95 inference(transitivity,[status(thm)],[419, 416, 411, 408, 104, 389, 57, 374, 368])).
% 1.11/0.95 tff(421,plain,
% 1.11/0.95 ($false),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[369, 420])).
% 1.11/0.95 tff(422,plain,(multiply(sk_c6, sk_c7) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 1.11/0.95 tff(423,plain,
% 1.11/0.95 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 1.11/0.95 inference(monotonicity,[status(thm)],[249])).
% 1.11/0.95 tff(424,plain,
% 1.11/0.95 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.11/0.95 inference(symmetry,[status(thm)],[423])).
% 1.11/0.95 tff(425,plain,
% 1.11/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)))),
% 1.11/0.95 inference(quant_inst,[status(thm)],[])).
% 1.11/0.95 tff(426,plain,
% 1.11/0.95 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[425, 31])).
% 1.11/0.95 tff(427,plain,
% 1.11/0.95 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.11/0.95 inference(symmetry,[status(thm)],[288])).
% 1.11/0.95 tff(428,plain,
% 1.11/0.95 (sk_c5 = multiply(sk_c6, sk_c7)),
% 1.11/0.95 inference(symmetry,[status(thm)],[422])).
% 1.11/0.95 tff(429,plain,
% 1.11/0.95 (sk_c5 = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.11/0.95 inference(transitivity,[status(thm)],[428, 423, 427])).
% 1.11/0.95 tff(430,plain,
% 1.11/0.95 (multiply(sk_c5, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[429])).
% 1.11/0.95 tff(431,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c5, sk_c3)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[422])).
% 1.11/0.95 tff(432,plain,
% 1.11/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3)))),
% 1.11/0.95 inference(quant_inst,[status(thm)],[])).
% 1.11/0.95 tff(433,plain,
% 1.11/0.95 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[432, 31])).
% 1.11/0.95 tff(434,plain,
% 1.11/0.95 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 1.11/0.95 inference(symmetry,[status(thm)],[433])).
% 1.11/0.95 tff(435,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 1.11/0.95 tff(436,plain,
% 1.11/0.95 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 1.11/0.95 inference(rewrite,[status(thm)],[])).
% 1.11/0.95 tff(437,plain,
% 1.11/0.95 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 1.11/0.95 inference(rewrite,[status(thm)],[])).
% 1.11/0.95 tff(438,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 1.11/0.95 tff(439,plain,
% 1.11/0.95 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 1.11/0.95 inference(modus_ponens,[status(thm)],[438, 437])).
% 1.11/0.95 tff(440,plain,
% 1.11/0.95 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 1.11/0.95 inference(modus_ponens,[status(thm)],[439, 436])).
% 1.11/0.95 tff(441,plain,
% 1.11/0.95 (multiply(sk_c1, sk_c7) = sk_c6),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[440, 435])).
% 1.11/0.95 tff(442,plain,
% 1.11/0.95 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[441])).
% 1.11/0.95 tff(443,plain,
% 1.11/0.95 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 1.11/0.95 inference(rewrite,[status(thm)],[])).
% 1.11/0.95 tff(444,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 1.11/0.95 tff(445,plain,
% 1.11/0.95 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 1.11/0.95 inference(modus_ponens,[status(thm)],[444, 443])).
% 1.11/0.95 tff(446,plain,
% 1.11/0.95 (inverse(sk_c1) = sk_c7),
% 1.11/0.95 inference(unit_resolution,[status(thm)],[445, 435])).
% 1.11/0.95 tff(447,plain,
% 1.11/0.95 (sk_c7 = inverse(sk_c1)),
% 1.11/0.95 inference(symmetry,[status(thm)],[446])).
% 1.11/0.95 tff(448,plain,
% 1.11/0.95 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[447])).
% 1.11/0.95 tff(449,plain,
% 1.11/0.95 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.11/0.95 inference(symmetry,[status(thm)],[448])).
% 1.11/0.95 tff(450,plain,
% 1.11/0.95 (identity = multiply(sk_c7, sk_c1)),
% 1.11/0.95 inference(transitivity,[status(thm)],[74, 449])).
% 1.11/0.95 tff(451,plain,
% 1.11/0.95 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[450])).
% 1.11/0.95 tff(452,plain,
% 1.11/0.95 (sk_c7 = sk_c5),
% 1.11/0.95 inference(transitivity,[status(thm)],[86, 451, 57, 442, 368])).
% 1.11/0.95 tff(453,plain,
% 1.11/0.95 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c5)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[452])).
% 1.11/0.95 tff(454,plain,
% 1.11/0.95 ((multiply(sk_c7, sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 1.11/0.95 inference(monotonicity,[status(thm)],[453])).
% 1.11/0.95 tff(455,plain,
% 1.11/0.95 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 1.11/0.95 inference(symmetry,[status(thm)],[454])).
% 1.11/0.95 tff(456,plain,
% 1.11/0.95 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.11/0.95 inference(monotonicity,[status(thm)],[428])).
% 1.11/0.95 tff(457,plain,
% 1.11/0.95 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c5)),
% 1.11/0.95 inference(symmetry,[status(thm)],[456])).
% 1.11/0.95 tff(458,plain,
% 1.11/0.95 (((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5))),
% 1.11/0.95 inference(rewrite,[status(thm)],[])).
% 1.11/0.95 tff(459,plain,
% 1.11/0.95 (((inverse(sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5))),
% 1.11/0.95 inference(rewrite,[status(thm)],[])).
% 1.11/0.95 tff(460,axiom,((inverse(sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 1.11/0.95 tff(461,plain,
% 1.11/0.95 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 1.11/0.95 inference(modus_ponens,[status(thm)],[460, 459])).
% 1.11/0.95 tff(462,plain,
% 1.11/0.95 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 1.13/0.95 inference(modus_ponens,[status(thm)],[461, 458])).
% 1.13/0.95 tff(463,plain,
% 1.13/0.95 (inverse(sk_c7) = sk_c5),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[462, 435])).
% 1.13/0.95 tff(464,plain,
% 1.13/0.95 (sk_c5 = inverse(sk_c7)),
% 1.13/0.95 inference(symmetry,[status(thm)],[463])).
% 1.13/0.95 tff(465,plain,
% 1.13/0.95 (multiply(sk_c7, sk_c6) = inverse(sk_c7)),
% 1.13/0.95 inference(transitivity,[status(thm)],[368, 464])).
% 1.13/0.95 tff(466,plain,
% 1.13/0.95 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[465])).
% 1.13/0.95 tff(467,plain,
% 1.13/0.95 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.13/0.95 inference(symmetry,[status(thm)],[466])).
% 1.13/0.95 tff(468,plain,
% 1.13/0.95 (inverse(sk_c7) = multiply(sk_c6, sk_c7)),
% 1.13/0.95 inference(transitivity,[status(thm)],[463, 428])).
% 1.13/0.95 tff(469,plain,
% 1.13/0.95 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[468])).
% 1.13/0.95 tff(470,plain,
% 1.13/0.95 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.95 inference(symmetry,[status(thm)],[469])).
% 1.13/0.95 tff(471,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(472,plain,
% 1.13/0.95 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[471, 31])).
% 1.13/0.95 tff(473,plain,
% 1.13/0.95 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 1.13/0.95 inference(symmetry,[status(thm)],[472])).
% 1.13/0.95 tff(474,plain,
% 1.13/0.95 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c5)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[452])).
% 1.13/0.95 tff(475,plain,
% 1.13/0.95 (multiply(sk_c2, sk_c5) = multiply(sk_c2, sk_c7)),
% 1.13/0.95 inference(symmetry,[status(thm)],[474])).
% 1.13/0.95 tff(476,plain,
% 1.13/0.95 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[428])).
% 1.13/0.95 tff(477,plain,
% 1.13/0.95 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(sk_c2, sk_c5)),
% 1.13/0.95 inference(symmetry,[status(thm)],[476])).
% 1.13/0.95 tff(478,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(479,plain,
% 1.13/0.95 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[478, 31])).
% 1.13/0.95 tff(480,plain,
% 1.13/0.95 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 1.13/0.95 inference(rewrite,[status(thm)],[])).
% 1.13/0.95 tff(481,plain,
% 1.13/0.95 (((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 1.13/0.95 inference(rewrite,[status(thm)],[])).
% 1.13/0.95 tff(482,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 1.13/0.95 tff(483,plain,
% 1.13/0.95 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 1.13/0.95 inference(modus_ponens,[status(thm)],[482, 481])).
% 1.13/0.95 tff(484,plain,
% 1.13/0.95 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 1.13/0.95 inference(modus_ponens,[status(thm)],[483, 480])).
% 1.13/0.95 tff(485,plain,
% 1.13/0.95 (multiply(sk_c2, sk_c6) = sk_c5),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[484, 435])).
% 1.13/0.95 tff(486,plain,
% 1.13/0.95 (multiply(sk_c2, sk_c6) = inverse(sk_c7)),
% 1.13/0.95 inference(transitivity,[status(thm)],[485, 464])).
% 1.13/0.95 tff(487,plain,
% 1.13/0.95 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[486])).
% 1.13/0.95 tff(488,plain,
% 1.13/0.95 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 1.13/0.95 inference(symmetry,[status(thm)],[487])).
% 1.13/0.95 tff(489,plain,
% 1.13/0.95 (multiply(sk_c7, sk_c7) = multiply(sk_c2, sk_c7)),
% 1.13/0.95 inference(transitivity,[status(thm)],[453, 456, 179, 466, 488, 479, 477, 475])).
% 1.13/0.95 tff(490,plain,
% 1.13/0.95 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[489])).
% 1.13/0.95 tff(491,plain,
% 1.13/0.95 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 1.13/0.95 inference(symmetry,[status(thm)],[490])).
% 1.13/0.95 tff(492,assumption,(~(inverse(sk_c2) = sk_c6)), introduced(assumption)).
% 1.13/0.95 tff(493,plain,
% 1.13/0.95 (((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6))),
% 1.13/0.95 inference(rewrite,[status(thm)],[])).
% 1.13/0.95 tff(494,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_29')).
% 1.13/0.95 tff(495,plain,
% 1.13/0.95 ((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)),
% 1.13/0.95 inference(modus_ponens,[status(thm)],[494, 493])).
% 1.13/0.95 tff(496,plain,
% 1.13/0.95 (inverse(sk_c4) = sk_c6),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[495, 492])).
% 1.13/0.95 tff(497,plain,
% 1.13/0.95 (sk_c6 = inverse(sk_c4)),
% 1.13/0.95 inference(symmetry,[status(thm)],[496])).
% 1.13/0.95 tff(498,plain,
% 1.13/0.95 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[497])).
% 1.13/0.95 tff(499,plain,
% 1.13/0.95 (multiply(sk_c6, sk_c4) = identity),
% 1.13/0.95 inference(transitivity,[status(thm)],[498, 310])).
% 1.13/0.95 tff(500,plain,
% 1.13/0.95 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[499])).
% 1.13/0.95 tff(501,plain,
% 1.13/0.95 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.13/0.95 inference(rewrite,[status(thm)],[])).
% 1.13/0.95 tff(502,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_30')).
% 1.13/0.95 tff(503,plain,
% 1.13/0.95 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.13/0.95 inference(modus_ponens,[status(thm)],[502, 501])).
% 1.13/0.95 tff(504,plain,
% 1.13/0.95 (multiply(sk_c4, sk_c5) = sk_c6),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[503, 492])).
% 1.13/0.95 tff(505,plain,
% 1.13/0.95 (sk_c6 = multiply(sk_c4, sk_c5)),
% 1.13/0.95 inference(symmetry,[status(thm)],[504])).
% 1.13/0.95 tff(506,plain,
% 1.13/0.95 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[505])).
% 1.13/0.95 tff(507,plain,
% 1.13/0.95 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[504])).
% 1.13/0.95 tff(508,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(509,plain,
% 1.13/0.95 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[508, 31])).
% 1.13/0.95 tff(510,plain,
% 1.13/0.95 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 1.13/0.95 inference(symmetry,[status(thm)],[509])).
% 1.13/0.95 tff(511,plain,
% 1.13/0.95 (multiply(sk_c5, sk_c6) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[395])).
% 1.13/0.95 tff(512,plain,
% 1.13/0.95 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c5, sk_c6)),
% 1.13/0.95 inference(symmetry,[status(thm)],[511])).
% 1.13/0.95 tff(513,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(514,plain,
% 1.13/0.95 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[513, 31])).
% 1.13/0.95 tff(515,plain,
% 1.13/0.95 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 1.13/0.95 inference(symmetry,[status(thm)],[514])).
% 1.13/0.95 tff(516,plain,
% 1.13/0.95 (multiply(sk_c6, sk_c6) = multiply(sk_c6, sk_c7)),
% 1.13/0.95 inference(transitivity,[status(thm)],[506, 360, 500, 328, 428])).
% 1.13/0.95 tff(517,plain,
% 1.13/0.95 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[516])).
% 1.13/0.95 tff(518,plain,
% 1.13/0.95 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 1.13/0.95 inference(symmetry,[status(thm)],[517])).
% 1.13/0.95 tff(519,plain,
% 1.13/0.95 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 1.13/0.95 inference(symmetry,[status(thm)],[506])).
% 1.13/0.95 tff(520,plain,
% 1.13/0.95 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 1.13/0.95 inference(symmetry,[status(thm)],[500])).
% 1.13/0.95 tff(521,plain,
% 1.13/0.95 (sk_c5 = multiply(sk_c6, sk_c6)),
% 1.13/0.95 inference(transitivity,[status(thm)],[329, 520, 308, 519])).
% 1.13/0.95 tff(522,plain,
% 1.13/0.95 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[521])).
% 1.13/0.95 tff(523,plain,
% 1.13/0.95 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 1.13/0.95 inference(symmetry,[status(thm)],[522])).
% 1.13/0.95 tff(524,plain,
% 1.13/0.95 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[248])).
% 1.13/0.95 tff(525,plain,
% 1.13/0.95 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 1.13/0.95 inference(symmetry,[status(thm)],[524])).
% 1.13/0.95 tff(526,plain,
% 1.13/0.95 (multiply(sk_c6, sk_c7) = multiply(sk_c3, sk_c5)),
% 1.13/0.95 inference(transitivity,[status(thm)],[422, 395, 525, 364, 523])).
% 1.13/0.95 tff(527,plain,
% 1.13/0.95 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[526])).
% 1.13/0.95 tff(528,plain,
% 1.13/0.95 (multiply(sk_c7, multiply(sk_c3, sk_c5)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.13/0.95 inference(symmetry,[status(thm)],[527])).
% 1.13/0.95 tff(529,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(530,plain,
% 1.13/0.95 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[529, 31])).
% 1.13/0.95 tff(531,plain,
% 1.13/0.95 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 1.13/0.95 inference(symmetry,[status(thm)],[498])).
% 1.13/0.95 tff(532,plain,
% 1.13/0.95 (identity = multiply(inverse(sk_c4), sk_c4)),
% 1.13/0.95 inference(symmetry,[status(thm)],[310])).
% 1.13/0.95 tff(533,plain,
% 1.13/0.95 (((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7))),
% 1.13/0.95 inference(rewrite,[status(thm)],[])).
% 1.13/0.95 tff(534,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_27')).
% 1.13/0.95 tff(535,plain,
% 1.13/0.95 ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 1.13/0.95 inference(modus_ponens,[status(thm)],[534, 533])).
% 1.13/0.95 tff(536,plain,
% 1.13/0.95 (inverse(sk_c3) = sk_c7),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[535, 492])).
% 1.13/0.95 tff(537,plain,
% 1.13/0.95 (sk_c7 = inverse(sk_c3)),
% 1.13/0.95 inference(symmetry,[status(thm)],[536])).
% 1.13/0.95 tff(538,plain,
% 1.13/0.95 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[537])).
% 1.13/0.95 tff(539,plain,
% 1.13/0.95 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c4)),
% 1.13/0.95 inference(transitivity,[status(thm)],[538, 255, 532, 531])).
% 1.13/0.95 tff(540,plain,
% 1.13/0.95 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[539])).
% 1.13/0.95 tff(541,plain,
% 1.13/0.95 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(sk_c7, sk_c3), sk_c5)),
% 1.13/0.95 inference(symmetry,[status(thm)],[540])).
% 1.13/0.95 tff(542,plain,
% 1.13/0.95 (sk_c5 = multiply(sk_c5, sk_c6)),
% 1.13/0.95 inference(transitivity,[status(thm)],[329, 520, 541, 530, 528, 518, 515, 512])).
% 1.13/0.95 tff(543,plain,
% 1.13/0.95 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[542])).
% 1.13/0.95 tff(544,plain,
% 1.13/0.95 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(545,plain,
% 1.13/0.95 (multiply(identity, sk_c4) = sk_c4),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[544, 83])).
% 1.13/0.95 tff(546,plain,
% 1.13/0.95 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[505])).
% 1.13/0.95 tff(547,plain,
% 1.13/0.95 (multiply(sk_c3, multiply(sk_c4, sk_c5)) = multiply(sk_c3, sk_c6)),
% 1.13/0.95 inference(symmetry,[status(thm)],[546])).
% 1.13/0.95 tff(548,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(sk_c3, multiply(sk_c4, sk_c5)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(549,plain,
% 1.13/0.95 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[548, 31])).
% 1.13/0.95 tff(550,plain,
% 1.13/0.95 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[542])).
% 1.13/0.95 tff(551,plain,
% 1.13/0.95 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c3, sk_c4), sk_c5)),
% 1.13/0.95 inference(symmetry,[status(thm)],[550])).
% 1.13/0.95 tff(552,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(553,plain,
% 1.13/0.95 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[552, 31])).
% 1.13/0.95 tff(554,plain,
% 1.13/0.95 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6))),
% 1.13/0.95 inference(symmetry,[status(thm)],[553])).
% 1.13/0.95 tff(555,plain,
% 1.13/0.95 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c6)),
% 1.13/0.95 inference(transitivity,[status(thm)],[510, 507])).
% 1.13/0.95 tff(556,plain,
% 1.13/0.95 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[555])).
% 1.13/0.95 tff(557,plain,
% 1.13/0.95 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 1.13/0.95 inference(symmetry,[status(thm)],[556])).
% 1.13/0.95 tff(558,plain,
% 1.13/0.95 (sk_c5 = inverse(sk_c3)),
% 1.13/0.95 inference(transitivity,[status(thm)],[395, 525, 364, 557, 554, 551, 549, 547, 248, 537])).
% 1.13/0.95 tff(559,plain,
% 1.13/0.95 (multiply(sk_c5, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[558])).
% 1.13/0.95 tff(560,plain,
% 1.13/0.95 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c5, sk_c3)),
% 1.13/0.95 inference(symmetry,[status(thm)],[559])).
% 1.13/0.95 tff(561,plain,
% 1.13/0.95 (identity = multiply(inverse(sk_c3), sk_c3)),
% 1.13/0.95 inference(symmetry,[status(thm)],[255])).
% 1.13/0.95 tff(562,plain,
% 1.13/0.95 (identity = multiply(sk_c5, sk_c3)),
% 1.13/0.95 inference(transitivity,[status(thm)],[561, 560])).
% 1.13/0.95 tff(563,plain,
% 1.13/0.95 (multiply(identity, sk_c4) = multiply(multiply(sk_c5, sk_c3), sk_c4)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[562])).
% 1.13/0.95 tff(564,plain,
% 1.13/0.95 (multiply(multiply(sk_c5, sk_c3), sk_c4) = multiply(identity, sk_c4)),
% 1.13/0.95 inference(symmetry,[status(thm)],[563])).
% 1.13/0.95 tff(565,plain,
% 1.13/0.95 (sk_c6 = sk_c5),
% 1.13/0.95 inference(transitivity,[status(thm)],[505, 543, 510, 507, 506, 360, 500, 328])).
% 1.13/0.95 tff(566,plain,
% 1.13/0.95 (multiply(sk_c6, sk_c3) = multiply(sk_c5, sk_c3)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[565])).
% 1.13/0.95 tff(567,plain,
% 1.13/0.95 (multiply(sk_c5, sk_c3) = multiply(sk_c6, sk_c3)),
% 1.13/0.95 inference(symmetry,[status(thm)],[566])).
% 1.13/0.95 tff(568,plain,
% 1.13/0.95 (multiply(multiply(sk_c5, sk_c3), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[567])).
% 1.13/0.95 tff(569,plain,
% 1.13/0.95 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(multiply(sk_c5, sk_c3), sk_c4)),
% 1.13/0.95 inference(symmetry,[status(thm)],[568])).
% 1.13/0.95 tff(570,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(571,plain,
% 1.13/0.95 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[570, 31])).
% 1.13/0.95 tff(572,plain,
% 1.13/0.95 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 1.13/0.95 inference(symmetry,[status(thm)],[571])).
% 1.13/0.95 tff(573,plain,
% 1.13/0.95 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(574,plain,
% 1.13/0.95 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[573, 83])).
% 1.13/0.95 tff(575,plain,
% 1.13/0.95 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[572])).
% 1.13/0.95 tff(576,plain,
% 1.13/0.95 (multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4)) = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 1.13/0.95 inference(symmetry,[status(thm)],[575])).
% 1.13/0.95 tff(577,plain,
% 1.13/0.95 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c5)),
% 1.13/0.95 inference(symmetry,[status(thm)],[543])).
% 1.13/0.95 tff(578,plain,
% 1.13/0.95 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 1.13/0.95 inference(symmetry,[status(thm)],[507])).
% 1.13/0.95 tff(579,plain,
% 1.13/0.95 (sk_c5 = inverse(sk_c4)),
% 1.13/0.95 inference(transitivity,[status(thm)],[329, 520, 308, 519, 578, 509, 577, 504, 497])).
% 1.13/0.95 tff(580,plain,
% 1.13/0.95 (multiply(sk_c5, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[579])).
% 1.13/0.95 tff(581,plain,
% 1.13/0.95 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c5, sk_c4)),
% 1.13/0.95 inference(symmetry,[status(thm)],[580])).
% 1.13/0.95 tff(582,plain,
% 1.13/0.95 (identity = multiply(sk_c5, sk_c4)),
% 1.13/0.95 inference(transitivity,[status(thm)],[532, 581])).
% 1.13/0.95 tff(583,plain,
% 1.13/0.95 (multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4)) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[582, 571])).
% 1.13/0.95 tff(584,plain,
% 1.13/0.95 (multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4))),
% 1.13/0.95 inference(symmetry,[status(thm)],[583])).
% 1.13/0.95 tff(585,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(586,plain,
% 1.13/0.95 (multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[585, 31])).
% 1.13/0.95 tff(587,plain,
% 1.13/0.95 (multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 1.13/0.95 inference(symmetry,[status(thm)],[586])).
% 1.13/0.95 tff(588,plain,
% 1.13/0.95 (sk_c5 = sk_c6),
% 1.13/0.95 inference(transitivity,[status(thm)],[329, 520, 308, 519, 578, 509, 577, 504])).
% 1.13/0.95 tff(589,plain,
% 1.13/0.95 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 1.13/0.95 inference(monotonicity,[status(thm)],[588])).
% 1.13/0.95 tff(590,plain,
% 1.13/0.95 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 1.13/0.95 inference(symmetry,[status(thm)],[589])).
% 1.13/0.95 tff(591,plain,
% 1.13/0.95 (multiply(multiply(sk_c4, sk_c5), sk_c3) = multiply(sk_c6, sk_c3)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[504])).
% 1.13/0.95 tff(592,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c3) = multiply(sk_c4, multiply(sk_c5, sk_c3)))),
% 1.13/0.95 inference(quant_inst,[status(thm)],[])).
% 1.13/0.95 tff(593,plain,
% 1.13/0.95 (multiply(multiply(sk_c4, sk_c5), sk_c3) = multiply(sk_c4, multiply(sk_c5, sk_c3))),
% 1.13/0.95 inference(unit_resolution,[status(thm)],[592, 31])).
% 1.13/0.95 tff(594,plain,
% 1.13/0.95 (multiply(sk_c4, multiply(sk_c5, sk_c3)) = multiply(multiply(sk_c4, sk_c5), sk_c3)),
% 1.13/0.95 inference(symmetry,[status(thm)],[593])).
% 1.13/0.95 tff(595,plain,
% 1.13/0.95 (multiply(sk_c4, multiply(sk_c5, sk_c3)) = multiply(sk_c6, sk_c3)),
% 1.13/0.95 inference(transitivity,[status(thm)],[594, 591])).
% 1.13/0.95 tff(596,plain,
% 1.13/0.95 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 1.13/0.95 inference(monotonicity,[status(thm)],[595])).
% 1.13/0.95 tff(597,plain,
% 1.13/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4)))),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(598,plain,
% 1.13/0.96 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4))),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[597, 31])).
% 1.13/0.96 tff(599,plain,
% 1.13/0.96 (multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4)) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4)),
% 1.13/0.96 inference(symmetry,[status(thm)],[598])).
% 1.13/0.96 tff(600,plain,
% 1.13/0.96 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c3), sk_c4)) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[569])).
% 1.13/0.96 tff(601,plain,
% 1.13/0.96 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c3), sk_c4))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[572])).
% 1.13/0.96 tff(602,plain,
% 1.13/0.96 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 1.13/0.96 inference(transitivity,[status(thm)],[601, 600, 599, 596, 571, 590])).
% 1.13/0.96 tff(603,plain,
% 1.13/0.96 (multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[602])).
% 1.13/0.96 tff(604,plain,
% 1.13/0.96 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 1.13/0.96 inference(symmetry,[status(thm)],[603])).
% 1.13/0.96 tff(605,plain,
% 1.13/0.96 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = sk_c4),
% 1.13/0.96 inference(transitivity,[status(thm)],[589, 572, 569, 564, 545])).
% 1.13/0.96 tff(606,plain,
% 1.13/0.96 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c5, sk_c4)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[605])).
% 1.13/0.96 tff(607,plain,
% 1.13/0.96 (multiply(sk_c5, sk_c4) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 1.13/0.96 inference(symmetry,[status(thm)],[606])).
% 1.13/0.96 tff(608,plain,
% 1.13/0.96 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(609,plain,
% 1.13/0.96 (multiply(inverse(sk_c5), sk_c5) = identity),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[608, 71])).
% 1.13/0.96 tff(610,plain,
% 1.13/0.96 (multiply(sk_c5, sk_c5) = multiply(sk_c6, sk_c6)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[588, 588])).
% 1.13/0.96 tff(611,plain,
% 1.13/0.96 (multiply(sk_c6, sk_c6) = multiply(sk_c5, sk_c5)),
% 1.13/0.96 inference(symmetry,[status(thm)],[610])).
% 1.13/0.96 tff(612,plain,
% 1.13/0.96 (sk_c5 = multiply(sk_c5, sk_c5)),
% 1.13/0.96 inference(transitivity,[status(thm)],[329, 520, 308, 519, 611])).
% 1.13/0.96 tff(613,plain,
% 1.13/0.96 (sk_c5 = sk_c7),
% 1.13/0.96 inference(transitivity,[status(thm)],[395, 525, 364, 557, 554, 551, 549, 547, 248])).
% 1.13/0.96 tff(614,plain,
% 1.13/0.96 (inverse(sk_c5) = inverse(sk_c7)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[613])).
% 1.13/0.96 tff(615,plain,
% 1.13/0.96 (multiply(inverse(sk_c5), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c5))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[614, 612])).
% 1.13/0.96 tff(616,plain,
% 1.13/0.96 (multiply(inverse(sk_c7), multiply(sk_c5, sk_c5)) = multiply(inverse(sk_c5), sk_c5)),
% 1.13/0.96 inference(symmetry,[status(thm)],[615])).
% 1.13/0.96 tff(617,plain,
% 1.13/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c5), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c5)))),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(618,plain,
% 1.13/0.96 (multiply(multiply(inverse(sk_c7), sk_c5), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c5))),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[617, 31])).
% 1.13/0.96 tff(619,plain,
% 1.13/0.96 (inverse(sk_c7) = inverse(sk_c5)),
% 1.13/0.96 inference(symmetry,[status(thm)],[614])).
% 1.13/0.96 tff(620,plain,
% 1.13/0.96 (multiply(inverse(sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[619])).
% 1.13/0.96 tff(621,plain,
% 1.13/0.96 (multiply(inverse(sk_c7), sk_c5) = multiply(sk_c5, sk_c3)),
% 1.13/0.96 inference(transitivity,[status(thm)],[620, 609, 561, 560])).
% 1.13/0.96 tff(622,plain,
% 1.13/0.96 (multiply(multiply(inverse(sk_c7), sk_c5), sk_c5) = multiply(multiply(sk_c5, sk_c3), sk_c6)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[621, 588])).
% 1.13/0.96 tff(623,plain,
% 1.13/0.96 (multiply(multiply(sk_c5, sk_c3), sk_c6) = multiply(multiply(inverse(sk_c7), sk_c5), sk_c5)),
% 1.13/0.96 inference(symmetry,[status(thm)],[622])).
% 1.13/0.96 tff(624,plain,
% 1.13/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), sk_c6) = multiply(sk_c5, multiply(sk_c3, sk_c6)))),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(625,plain,
% 1.13/0.96 (multiply(multiply(sk_c5, sk_c3), sk_c6) = multiply(sk_c5, multiply(sk_c3, sk_c6))),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[624, 31])).
% 1.13/0.96 tff(626,plain,
% 1.13/0.96 (multiply(sk_c5, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c5, sk_c3), sk_c6)),
% 1.13/0.96 inference(symmetry,[status(thm)],[625])).
% 1.13/0.96 tff(627,plain,
% 1.13/0.96 (multiply(sk_c5, multiply(sk_c3, sk_c6)) = multiply(sk_c5, sk_c7)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[248])).
% 1.13/0.96 tff(628,plain,
% 1.13/0.96 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c3, sk_c6))),
% 1.13/0.96 inference(symmetry,[status(thm)],[627])).
% 1.13/0.96 tff(629,plain,
% 1.13/0.96 (multiply(sk_c5, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[395])).
% 1.13/0.96 tff(630,plain,
% 1.13/0.96 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c5, sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[629])).
% 1.13/0.96 tff(631,plain,
% 1.13/0.96 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 1.13/0.96 inference(symmetry,[status(thm)],[364])).
% 1.13/0.96 tff(632,plain,
% 1.13/0.96 (multiply(sk_c3, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c3, sk_c4), sk_c5)),
% 1.13/0.96 inference(symmetry,[status(thm)],[549])).
% 1.13/0.96 tff(633,plain,
% 1.13/0.96 (sk_c7 = sk_c4),
% 1.13/0.96 inference(transitivity,[status(thm)],[249, 546, 632, 550, 553, 556, 631, 524, 368, 329, 520, 541, 530, 528, 179, 630, 628, 626, 623, 618, 616, 609, 532, 581, 607, 604, 587, 584, 576, 574, 572, 569, 564, 545])).
% 1.13/0.96 tff(634,plain,
% 1.13/0.96 (inverse(sk_c7) = inverse(sk_c4)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[633])).
% 1.13/0.96 tff(635,plain,
% 1.13/0.96 (inverse(sk_c7) = sk_c5),
% 1.13/0.96 inference(transitivity,[status(thm)],[634, 496, 505, 543, 510, 507, 506, 360, 500, 328])).
% 1.13/0.96 tff(636,plain,
% 1.13/0.96 (sk_c7 = sk_c5),
% 1.13/0.96 inference(transitivity,[status(thm)],[249, 546, 632, 550, 553, 556, 631, 524, 368])).
% 1.13/0.96 tff(637,plain,
% 1.13/0.96 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c5)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[636])).
% 1.13/0.96 tff(638,plain,
% 1.13/0.96 (multiply(sk_c3, sk_c7) = sk_c6),
% 1.13/0.96 inference(transitivity,[status(thm)],[637, 522, 631, 524, 368, 329, 520, 308, 519, 578, 509, 577, 504])).
% 1.13/0.96 tff(639,plain,
% 1.13/0.96 (multiply(sk_c3, sk_c6) = inverse(sk_c3)),
% 1.13/0.96 inference(transitivity,[status(thm)],[248, 537])).
% 1.13/0.96 tff(640,plain,
% 1.13/0.96 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (inverse(sk_c3) = sk_c6)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[639, 588])).
% 1.13/0.96 tff(641,plain,
% 1.13/0.96 (multiply(sk_c3, sk_c6) = sk_c5),
% 1.13/0.96 inference(transitivity,[status(thm)],[546, 632, 550, 553, 556, 631, 524, 368])).
% 1.13/0.96 tff(642,plain,
% 1.13/0.96 (inverse(sk_c3) = sk_c6),
% 1.13/0.96 inference(modus_ponens,[status(thm)],[641, 640])).
% 1.13/0.96 tff(643,plain,
% 1.13/0.96 (multiply(sk_c3, sk_c5) = sk_c6),
% 1.13/0.96 inference(transitivity,[status(thm)],[522, 631, 524, 368, 329, 520, 308, 519, 578, 509, 577, 504])).
% 1.13/0.96 tff(644,plain,
% 1.13/0.96 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))),
% 1.13/0.96 inference(rewrite,[status(thm)],[])).
% 1.13/0.96 tff(645,plain,
% 1.13/0.96 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))),
% 1.13/0.96 inference(rewrite,[status(thm)],[])).
% 1.13/0.96 tff(646,plain,
% 1.13/0.96 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7))))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[645])).
% 1.13/0.96 tff(647,plain,
% 1.13/0.96 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))),
% 1.13/0.96 inference(transitivity,[status(thm)],[646, 644])).
% 1.13/0.96 tff(648,plain,
% 1.13/0.96 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(649,plain,
% 1.13/0.96 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7))),
% 1.13/0.96 inference(modus_ponens,[status(thm)],[648, 647])).
% 1.13/0.96 tff(650,plain,
% 1.13/0.96 ((~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[649, 368, 422, 536, 248, 225])).
% 1.13/0.96 tff(651,plain,
% 1.13/0.96 (~(inverse(sk_c7) = sk_c5)),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[650, 643, 641, 642, 638])).
% 1.13/0.96 tff(652,plain,
% 1.13/0.96 ($false),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[651, 635])).
% 1.13/0.96 tff(653,plain,(inverse(sk_c2) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 1.13/0.96 tff(654,plain,
% 1.13/0.96 (sk_c6 = inverse(sk_c2)),
% 1.13/0.96 inference(symmetry,[status(thm)],[653])).
% 1.13/0.96 tff(655,plain,
% 1.13/0.96 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[654])).
% 1.13/0.96 tff(656,plain,
% 1.13/0.96 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c1)),
% 1.13/0.96 inference(transitivity,[status(thm)],[655, 93, 74, 449])).
% 1.13/0.96 tff(657,plain,
% 1.13/0.96 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[656])).
% 1.13/0.96 tff(658,plain,
% 1.13/0.96 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[657])).
% 1.13/0.96 tff(659,plain,
% 1.13/0.96 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.13/0.96 inference(symmetry,[status(thm)],[442])).
% 1.13/0.96 tff(660,plain,
% 1.13/0.96 (inverse(sk_c7) = multiply(sk_c7, sk_c5)),
% 1.13/0.96 inference(transitivity,[status(thm)],[463, 395, 659, 110, 658, 103, 491, 473, 470, 467, 178, 457])).
% 1.13/0.96 tff(661,plain,
% 1.13/0.96 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[660])).
% 1.13/0.96 tff(662,plain,
% 1.13/0.96 ((sk_c6 = inverse(sk_c7)) <=> (inverse(sk_c7) = sk_c6)),
% 1.13/0.96 inference(commutativity,[status(thm)],[])).
% 1.13/0.96 tff(663,plain,
% 1.13/0.96 (sk_c7 = inverse(sk_c7)),
% 1.13/0.96 inference(transitivity,[status(thm)],[86, 451, 57, 442, 368, 464])).
% 1.13/0.96 tff(664,plain,
% 1.13/0.96 ((inverse(sk_c2) = sk_c7) <=> (sk_c6 = inverse(sk_c7))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[653, 663])).
% 1.13/0.96 tff(665,plain,
% 1.13/0.96 ((inverse(sk_c2) = sk_c7) <=> (inverse(sk_c7) = sk_c6)),
% 1.13/0.96 inference(transitivity,[status(thm)],[664, 662])).
% 1.13/0.96 tff(666,plain,
% 1.13/0.96 ((inverse(sk_c2) = sk_c7) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 1.13/0.96 inference(transitivity,[status(thm)],[665, 661, 455])).
% 1.13/0.96 tff(667,plain,
% 1.13/0.96 ((~(inverse(sk_c2) = sk_c7)) <=> (~(multiply(sk_c7, sk_c7) = sk_c6))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[666])).
% 1.13/0.96 tff(668,plain,
% 1.13/0.96 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[479])).
% 1.13/0.96 tff(669,plain,
% 1.13/0.96 (multiply(sk_c2, sk_c7) = multiply(sk_c7, sk_c5)),
% 1.13/0.96 inference(transitivity,[status(thm)],[474, 476, 668, 487, 467, 178, 457])).
% 1.13/0.96 tff(670,plain,
% 1.13/0.96 ((multiply(sk_c2, sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[669])).
% 1.13/0.96 tff(671,plain,
% 1.13/0.96 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c2, sk_c7) = sk_c6)),
% 1.13/0.96 inference(symmetry,[status(thm)],[670])).
% 1.13/0.96 tff(672,plain,
% 1.13/0.96 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c7) = sk_c6)),
% 1.13/0.96 inference(transitivity,[status(thm)],[661, 671])).
% 1.13/0.96 tff(673,plain,
% 1.13/0.96 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c5)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[452])).
% 1.13/0.96 tff(674,plain,
% 1.13/0.96 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[673])).
% 1.13/0.96 tff(675,plain,
% 1.13/0.96 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[441])).
% 1.13/0.96 tff(676,plain,
% 1.13/0.96 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 1.13/0.96 inference(symmetry,[status(thm)],[675])).
% 1.13/0.96 tff(677,plain,
% 1.13/0.96 (sk_c6 = multiply(sk_c1, sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[441])).
% 1.13/0.96 tff(678,plain,
% 1.13/0.96 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[677])).
% 1.13/0.96 tff(679,plain,
% 1.13/0.96 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c6)),
% 1.13/0.96 inference(symmetry,[status(thm)],[678])).
% 1.13/0.96 tff(680,plain,
% 1.13/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(681,plain,
% 1.13/0.96 (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[680, 31])).
% 1.13/0.96 tff(682,plain,
% 1.13/0.96 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[451])).
% 1.13/0.96 tff(683,plain,
% 1.13/0.96 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[441])).
% 1.13/0.96 tff(684,plain,
% 1.13/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7)))),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(685,plain,
% 1.13/0.96 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[684, 31])).
% 1.13/0.96 tff(686,plain,
% 1.13/0.96 (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[685])).
% 1.13/0.96 tff(687,plain,
% 1.13/0.96 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[453])).
% 1.13/0.96 tff(688,plain,
% 1.13/0.96 (multiply(sk_c7, sk_c1) = multiply(sk_c7, sk_c7)),
% 1.13/0.96 inference(transitivity,[status(thm)],[448, 73, 154, 467, 178, 457, 687])).
% 1.13/0.96 tff(689,plain,
% 1.13/0.96 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 1.13/0.96 inference(monotonicity,[status(thm)],[688])).
% 1.13/0.96 tff(690,plain,
% 1.13/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 1.13/0.96 inference(quant_inst,[status(thm)],[])).
% 1.13/0.96 tff(691,plain,
% 1.13/0.96 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 1.13/0.96 inference(unit_resolution,[status(thm)],[690, 31])).
% 1.13/0.96 tff(692,plain,
% 1.13/0.96 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[677])).
% 1.13/0.96 tff(693,plain,
% 1.13/0.96 (multiply(sk_c6, sk_c1) = sk_c7),
% 1.13/0.96 inference(transitivity,[status(thm)],[692, 691, 689, 686, 683, 422, 395, 659, 110, 682, 85])).
% 1.13/0.96 tff(694,plain,
% 1.13/0.96 (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c7, sk_c5)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[693, 452])).
% 1.13/0.96 tff(695,plain,
% 1.13/0.96 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c6, sk_c1), sk_c7)),
% 1.13/0.96 inference(symmetry,[status(thm)],[694])).
% 1.13/0.96 tff(696,plain,
% 1.13/0.96 (inverse(sk_c7) = sk_c6),
% 1.13/0.96 inference(transitivity,[status(thm)],[463, 395, 659, 110, 658, 103, 491, 473, 470, 467, 178, 457, 695, 681, 679, 676, 399, 397, 674, 441])).
% 1.13/0.96 tff(697,plain,
% 1.13/0.96 (multiply(sk_c2, sk_c7) = sk_c6),
% 1.13/0.96 inference(modus_ponens,[status(thm)],[696, 672])).
% 1.13/0.96 tff(698,plain,
% 1.13/0.96 (multiply(sk_c2, sk_c5) = multiply(sk_c7, sk_c5)),
% 1.13/0.96 inference(transitivity,[status(thm)],[476, 668, 487, 467, 178, 457])).
% 1.13/0.96 tff(699,plain,
% 1.13/0.96 ((multiply(sk_c2, sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 1.13/0.96 inference(monotonicity,[status(thm)],[698])).
% 1.13/0.96 tff(700,plain,
% 1.13/0.96 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 1.13/0.96 inference(symmetry,[status(thm)],[699])).
% 1.13/0.96 tff(701,plain,
% 1.13/0.96 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 1.13/0.96 inference(transitivity,[status(thm)],[661, 700])).
% 1.13/0.96 tff(702,plain,
% 1.13/0.96 (multiply(sk_c2, sk_c5) = sk_c6),
% 1.13/0.96 inference(modus_ponens,[status(thm)],[696, 701])).
% 1.13/0.96 tff(703,plain,
% 1.13/0.96 (multiply(sk_c2, sk_c6) = sk_c7),
% 1.13/0.96 inference(transitivity,[status(thm)],[485, 395, 659, 110, 682, 85])).
% 1.13/0.96 tff(704,plain,
% 1.13/0.96 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 1.13/0.96 inference(rewrite,[status(thm)],[])).
% 1.13/0.96 tff(705,plain,
% 1.13/0.96 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 1.13/0.96 inference(rewrite,[status(thm)],[])).
% 1.13/0.96 tff(706,plain,
% 1.13/0.96 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6))))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[705])).
% 1.13/0.97 tff(707,plain,
% 1.13/0.97 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 1.13/0.97 inference(transitivity,[status(thm)],[706, 704])).
% 1.13/0.97 tff(708,plain,
% 1.13/0.97 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(709,plain,
% 1.13/0.97 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[708, 707])).
% 1.13/0.97 tff(710,plain,
% 1.13/0.97 ((~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[709, 368, 422, 653, 225])).
% 1.13/0.97 tff(711,plain,
% 1.13/0.97 (~(inverse(sk_c2) = sk_c7)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[710, 703, 463, 485, 702, 697])).
% 1.13/0.97 tff(712,plain,
% 1.13/0.97 (~(multiply(sk_c7, sk_c7) = sk_c6)),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[711, 667])).
% 1.13/0.97 tff(713,plain,
% 1.13/0.97 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[661, 455])).
% 1.13/0.97 tff(714,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c7) = sk_c6),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[696, 713])).
% 1.13/0.97 tff(715,plain,
% 1.13/0.97 ($false),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[714, 712])).
% 1.13/0.97 tff(716,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 1.13/0.97 tff(717,plain,
% 1.13/0.97 (sk_c7 = inverse(sk_c3)),
% 1.13/0.97 inference(symmetry,[status(thm)],[716])).
% 1.13/0.97 tff(718,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[717])).
% 1.13/0.97 tff(719,plain,
% 1.13/0.97 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 1.13/0.97 inference(symmetry,[status(thm)],[718])).
% 1.13/0.97 tff(720,assumption,(~(inverse(sk_c7) = sk_c5)), introduced(assumption)).
% 1.13/0.97 tff(721,plain,
% 1.13/0.97 (((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(722,plain,
% 1.13/0.97 (((inverse(sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(723,axiom,((inverse(sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 1.13/0.97 tff(724,plain,
% 1.13/0.97 ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[723, 722])).
% 1.13/0.97 tff(725,plain,
% 1.13/0.97 ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[724, 721])).
% 1.13/0.97 tff(726,plain,
% 1.13/0.97 (inverse(sk_c4) = sk_c6),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[725, 720])).
% 1.13/0.97 tff(727,plain,
% 1.13/0.97 (sk_c6 = inverse(sk_c4)),
% 1.13/0.97 inference(symmetry,[status(thm)],[726])).
% 1.13/0.97 tff(728,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[727])).
% 1.13/0.97 tff(729,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c4) = identity),
% 1.13/0.97 inference(transitivity,[status(thm)],[728, 310])).
% 1.13/0.97 tff(730,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[729])).
% 1.13/0.97 tff(731,plain,
% 1.13/0.97 (((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(732,axiom,((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 1.13/0.97 tff(733,plain,
% 1.13/0.97 ((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[732, 731])).
% 1.13/0.97 tff(734,plain,
% 1.13/0.97 (multiply(sk_c4, sk_c5) = sk_c6),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[733, 720])).
% 1.13/0.97 tff(735,plain,
% 1.13/0.97 (sk_c6 = multiply(sk_c4, sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[734])).
% 1.13/0.97 tff(736,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[735])).
% 1.13/0.97 tff(737,plain,
% 1.13/0.97 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[734])).
% 1.13/0.97 tff(738,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c6) = sk_c5),
% 1.13/0.97 inference(transitivity,[status(thm)],[736, 360, 730, 328])).
% 1.13/0.97 tff(739,plain,
% 1.13/0.97 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[738])).
% 1.13/0.97 tff(740,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(symmetry,[status(thm)],[739])).
% 1.13/0.97 tff(741,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[736])).
% 1.13/0.97 tff(742,plain,
% 1.13/0.97 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[730])).
% 1.13/0.97 tff(743,plain,
% 1.13/0.97 (sk_c5 = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[329, 742, 308, 741])).
% 1.13/0.97 tff(744,plain,
% 1.13/0.97 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[743])).
% 1.13/0.97 tff(745,plain,
% 1.13/0.97 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[744])).
% 1.13/0.97 tff(746,plain,
% 1.13/0.97 (sk_c5 = multiply(sk_c3, sk_c5)),
% 1.13/0.97 inference(transitivity,[status(thm)],[395, 525, 364, 745])).
% 1.13/0.97 tff(747,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[746])).
% 1.13/0.97 tff(748,plain,
% 1.13/0.97 (multiply(sk_c7, multiply(sk_c3, sk_c5)) = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[747])).
% 1.13/0.97 tff(749,plain,
% 1.13/0.97 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 1.13/0.97 inference(symmetry,[status(thm)],[728])).
% 1.13/0.97 tff(750,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c4)),
% 1.13/0.97 inference(transitivity,[status(thm)],[718, 255, 532, 749])).
% 1.13/0.97 tff(751,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[750])).
% 1.13/0.97 tff(752,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(sk_c7, sk_c3), sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[751])).
% 1.13/0.97 tff(753,plain,
% 1.13/0.97 (sk_c5 = multiply(sk_c5, sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[329, 742, 752, 530, 748, 740, 515, 512])).
% 1.13/0.97 tff(754,plain,
% 1.13/0.97 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[753])).
% 1.13/0.97 tff(755,plain,
% 1.13/0.97 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c4)),
% 1.13/0.97 inference(transitivity,[status(thm)],[153, 532, 749])).
% 1.13/0.97 tff(756,plain,
% 1.13/0.97 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[755])).
% 1.13/0.97 tff(757,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(758,plain,
% 1.13/0.97 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[757, 31])).
% 1.13/0.97 tff(759,plain,
% 1.13/0.97 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[758])).
% 1.13/0.97 tff(760,plain,
% 1.13/0.97 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[510, 737])).
% 1.13/0.97 tff(761,plain,
% 1.13/0.97 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[760])).
% 1.13/0.97 tff(762,plain,
% 1.13/0.97 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[753])).
% 1.13/0.97 tff(763,plain,
% 1.13/0.97 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[735])).
% 1.13/0.97 tff(764,plain,
% 1.13/0.97 (sk_c7 = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(transitivity,[status(thm)],[249, 763, 632, 762, 553, 761, 631, 524, 368, 329, 742, 752, 530, 748])).
% 1.13/0.97 tff(765,plain,
% 1.13/0.97 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[764])).
% 1.13/0.97 tff(766,plain,
% 1.13/0.97 (identity = sk_c5),
% 1.13/0.97 inference(transitivity,[status(thm)],[154, 765, 759, 756, 730, 328])).
% 1.13/0.97 tff(767,plain,
% 1.13/0.97 (multiply(identity, sk_c4) = multiply(sk_c5, sk_c4)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[766])).
% 1.13/0.97 tff(768,plain,
% 1.13/0.97 (multiply(sk_c5, sk_c4) = multiply(identity, sk_c4)),
% 1.13/0.97 inference(symmetry,[status(thm)],[767])).
% 1.13/0.97 tff(769,plain,
% 1.13/0.97 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[754])).
% 1.13/0.97 tff(770,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[737])).
% 1.13/0.97 tff(771,plain,
% 1.13/0.97 (sk_c5 = inverse(sk_c4)),
% 1.13/0.97 inference(transitivity,[status(thm)],[329, 742, 308, 741, 770, 509, 769, 734, 727])).
% 1.13/0.97 tff(772,plain,
% 1.13/0.97 (multiply(sk_c5, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[771])).
% 1.13/0.97 tff(773,plain,
% 1.13/0.97 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c5, sk_c4)),
% 1.13/0.97 inference(symmetry,[status(thm)],[772])).
% 1.13/0.97 tff(774,plain,
% 1.13/0.97 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.97 inference(symmetry,[status(thm)],[765])).
% 1.13/0.97 tff(775,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[756])).
% 1.13/0.97 tff(776,plain,
% 1.13/0.97 (sk_c7 = sk_c4),
% 1.13/0.97 inference(transitivity,[status(thm)],[249, 763, 632, 762, 553, 761, 631, 524, 368, 329, 742, 775, 758, 774, 153, 532, 773, 768, 545])).
% 1.13/0.97 tff(777,plain,
% 1.13/0.97 (inverse(sk_c7) = inverse(sk_c4)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[776])).
% 1.13/0.97 tff(778,plain,
% 1.13/0.97 (inverse(sk_c7) = sk_c5),
% 1.13/0.97 inference(transitivity,[status(thm)],[777, 726, 735, 754, 510, 737, 736, 360, 730, 328])).
% 1.13/0.97 tff(779,plain,
% 1.13/0.97 ($false),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[720, 778])).
% 1.13/0.97 tff(780,plain,(inverse(sk_c7) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 1.13/0.97 tff(781,plain,
% 1.13/0.97 (sk_c5 = inverse(sk_c7)),
% 1.13/0.97 inference(symmetry,[status(thm)],[780])).
% 1.13/0.97 tff(782,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c6) = inverse(sk_c7)),
% 1.13/0.97 inference(transitivity,[status(thm)],[368, 781])).
% 1.13/0.97 tff(783,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[782])).
% 1.13/0.97 tff(784,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c3)),
% 1.13/0.97 inference(transitivity,[status(thm)],[456, 179, 783, 153, 561, 719])).
% 1.13/0.97 tff(785,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[784])).
% 1.13/0.97 tff(786,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c6, multiply(sk_c7, sk_c5)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(787,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[786, 31])).
% 1.13/0.97 tff(788,plain,
% 1.13/0.97 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[428, 368])).
% 1.13/0.97 tff(789,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(790,plain,
% 1.13/0.97 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[789, 31])).
% 1.13/0.97 tff(791,plain,
% 1.13/0.97 (multiply(sk_c5, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[781])).
% 1.13/0.97 tff(792,plain,
% 1.13/0.97 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, sk_c7)),
% 1.13/0.97 inference(symmetry,[status(thm)],[791])).
% 1.13/0.97 tff(793,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c3) = multiply(sk_c5, sk_c7)),
% 1.13/0.97 inference(transitivity,[status(thm)],[718, 255, 154, 792])).
% 1.13/0.97 tff(794,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[793])).
% 1.13/0.97 tff(795,plain,
% 1.13/0.97 (identity = multiply(sk_c7, sk_c3)),
% 1.13/0.97 inference(transitivity,[status(thm)],[561, 719])).
% 1.13/0.97 tff(796,plain,
% 1.13/0.97 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[795])).
% 1.13/0.97 tff(797,plain,
% 1.13/0.97 (sk_c6 = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(transitivity,[status(thm)],[274, 796, 794, 790, 788, 787, 785, 434, 431, 430, 426])).
% 1.13/0.97 tff(798,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[797])).
% 1.13/0.97 tff(799,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[798])).
% 1.13/0.97 tff(800,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(801,plain,
% 1.13/0.97 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[800, 31])).
% 1.13/0.97 tff(802,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[796])).
% 1.13/0.97 tff(803,plain,
% 1.13/0.97 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[794])).
% 1.13/0.97 tff(804,plain,
% 1.13/0.97 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[790])).
% 1.13/0.97 tff(805,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 1.13/0.97 inference(symmetry,[status(thm)],[788])).
% 1.13/0.97 tff(806,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[787])).
% 1.13/0.97 tff(807,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 1.13/0.97 inference(symmetry,[status(thm)],[785])).
% 1.13/0.97 tff(808,plain,
% 1.13/0.97 (multiply(sk_c5, sk_c3) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 1.13/0.97 inference(symmetry,[status(thm)],[431])).
% 1.13/0.97 tff(809,plain,
% 1.13/0.97 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3) = multiply(sk_c5, sk_c3)),
% 1.13/0.97 inference(symmetry,[status(thm)],[430])).
% 1.13/0.97 tff(810,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3)),
% 1.13/0.97 inference(symmetry,[status(thm)],[426])).
% 1.13/0.97 tff(811,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)) = sk_c6),
% 1.13/0.97 inference(transitivity,[status(thm)],[810, 809, 808, 433, 807, 806, 805, 804, 803, 802, 273])).
% 1.13/0.97 tff(812,plain,
% 1.13/0.97 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[811])).
% 1.13/0.97 tff(813,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(symmetry,[status(thm)],[812])).
% 1.13/0.97 tff(814,plain,
% 1.13/0.97 (sk_c6 = multiply(sk_c5, sk_c3)),
% 1.13/0.97 inference(transitivity,[status(thm)],[274, 796, 794, 790, 788, 787, 785, 434, 431])).
% 1.13/0.97 tff(815,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[814])).
% 1.13/0.97 tff(816,plain,
% 1.13/0.97 (multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(symmetry,[status(thm)],[815])).
% 1.13/0.97 tff(817,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3)) = multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3))))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(818,plain,
% 1.13/0.97 (multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3)) = multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[817, 31])).
% 1.13/0.97 tff(819,plain,
% 1.13/0.97 (multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(symmetry,[status(thm)],[818])).
% 1.13/0.97 tff(820,plain,
% 1.13/0.97 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(821,plain,
% 1.13/0.97 (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[820, 83])).
% 1.13/0.97 tff(822,plain,
% 1.13/0.97 (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[795])).
% 1.13/0.97 tff(823,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(identity, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(symmetry,[status(thm)],[822])).
% 1.13/0.97 tff(824,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(825,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[824, 31])).
% 1.13/0.97 tff(826,plain,
% 1.13/0.97 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(symmetry,[status(thm)],[825])).
% 1.13/0.97 tff(827,plain,
% 1.13/0.97 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = sk_c5),
% 1.13/0.97 inference(transitivity,[status(thm)],[631, 524, 368])).
% 1.13/0.97 tff(828,plain,
% 1.13/0.97 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[827])).
% 1.13/0.97 tff(829,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 1.13/0.97 inference(symmetry,[status(thm)],[828])).
% 1.13/0.97 tff(830,plain,
% 1.13/0.97 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.13/0.97 inference(symmetry,[status(thm)],[783])).
% 1.13/0.97 tff(831,plain,
% 1.13/0.97 (multiply(sk_c3, sk_c6) = inverse(sk_c3)),
% 1.13/0.97 inference(transitivity,[status(thm)],[248, 717])).
% 1.13/0.97 tff(832,plain,
% 1.13/0.97 (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[831])).
% 1.13/0.97 tff(833,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(834,plain,
% 1.13/0.97 (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[833, 31])).
% 1.13/0.97 tff(835,plain,
% 1.13/0.97 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, sk_c6), sk_c3)),
% 1.13/0.97 inference(symmetry,[status(thm)],[834])).
% 1.13/0.97 tff(836,plain,
% 1.13/0.97 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[835, 832, 255, 154, 830, 178, 457, 829, 826, 823, 821])).
% 1.13/0.97 tff(837,plain,
% 1.13/0.97 (multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c5, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[836])).
% 1.13/0.97 tff(838,plain,
% 1.13/0.97 (multiply(sk_c5, multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 1.13/0.97 inference(symmetry,[status(thm)],[837])).
% 1.13/0.97 tff(839,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c6) = multiply(identity, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(symmetry,[status(thm)],[821])).
% 1.13/0.97 tff(840,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c6) = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(transitivity,[status(thm)],[839, 822, 825, 828])).
% 1.13/0.97 tff(841,plain,
% 1.13/0.97 (multiply(sk_c5, multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[840])).
% 1.13/0.97 tff(842,plain,
% 1.13/0.97 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(symmetry,[status(thm)],[841])).
% 1.13/0.97 tff(843,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(844,plain,
% 1.13/0.97 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[843, 31])).
% 1.13/0.97 tff(845,plain,
% 1.13/0.97 (multiply(sk_c5, sk_c7) = identity),
% 1.13/0.97 inference(transitivity,[status(thm)],[791, 153])).
% 1.13/0.97 tff(846,plain,
% 1.13/0.97 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(identity, sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[845])).
% 1.13/0.97 tff(847,plain,
% 1.13/0.97 (multiply(identity, sk_c5) = multiply(multiply(sk_c5, sk_c7), sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[846])).
% 1.13/0.97 tff(848,plain,
% 1.13/0.97 (sk_c5 = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(transitivity,[status(thm)],[395, 525, 364])).
% 1.13/0.97 tff(849,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[848])).
% 1.13/0.97 tff(850,plain,
% 1.13/0.97 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(symmetry,[status(thm)],[849])).
% 1.13/0.97 tff(851,plain,
% 1.13/0.97 (inverse(sk_c7) = multiply(sk_c7, sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[780, 395])).
% 1.13/0.97 tff(852,plain,
% 1.13/0.97 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[851])).
% 1.13/0.97 tff(853,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.97 inference(symmetry,[status(thm)],[852])).
% 1.13/0.97 tff(854,plain,
% 1.13/0.97 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[422])).
% 1.13/0.97 tff(855,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.13/0.97 inference(symmetry,[status(thm)],[854])).
% 1.13/0.97 tff(856,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c3)),
% 1.13/0.97 inference(transitivity,[status(thm)],[855, 179, 853, 153, 561, 719])).
% 1.13/0.97 tff(857,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[856])).
% 1.13/0.97 tff(858,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 1.13/0.97 inference(symmetry,[status(thm)],[857])).
% 1.13/0.97 tff(859,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c3)),
% 1.13/0.97 inference(transitivity,[status(thm)],[655, 93, 561, 719])).
% 1.13/0.97 tff(860,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c6, sk_c2)) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[859])).
% 1.13/0.97 tff(861,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c2) = multiply(sk_c6, multiply(sk_c6, sk_c2)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(862,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c6), sk_c2) = multiply(sk_c6, multiply(sk_c6, sk_c2))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[861, 31])).
% 1.13/0.97 tff(863,plain,
% 1.13/0.97 (identity = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[154, 852, 178, 854, 849, 826, 823, 821])).
% 1.13/0.97 tff(864,plain,
% 1.13/0.97 (multiply(identity, sk_c2) = multiply(multiply(sk_c6, sk_c6), sk_c2)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[863])).
% 1.13/0.97 tff(865,plain,
% 1.13/0.97 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(866,plain,
% 1.13/0.97 (multiply(identity, sk_c2) = sk_c2),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[865, 83])).
% 1.13/0.97 tff(867,plain,
% 1.13/0.97 (sk_c2 = multiply(identity, sk_c2)),
% 1.13/0.97 inference(symmetry,[status(thm)],[866])).
% 1.13/0.97 tff(868,plain,
% 1.13/0.97 (sk_c2 = sk_c6),
% 1.13/0.97 inference(transitivity,[status(thm)],[867, 864, 862, 860, 858, 806, 805, 804, 803, 802, 273])).
% 1.13/0.97 tff(869,plain,
% 1.13/0.97 (multiply(sk_c2, sk_c6) = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[868])).
% 1.13/0.97 tff(870,assumption,(multiply(sk_c2, sk_c6) = sk_c5), introduced(assumption)).
% 1.13/0.97 tff(871,plain,
% 1.13/0.97 (sk_c5 = multiply(sk_c2, sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[870])).
% 1.13/0.97 tff(872,plain,
% 1.13/0.97 (inverse(sk_c7) = multiply(sk_c7, sk_c5)),
% 1.13/0.97 inference(transitivity,[status(thm)],[780, 871, 869, 839, 822, 825, 850])).
% 1.13/0.97 tff(873,plain,
% 1.13/0.97 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[872])).
% 1.13/0.97 tff(874,plain,
% 1.13/0.97 ((~(inverse(sk_c7) = sk_c6)) <=> (~(multiply(sk_c7, sk_c5) = sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[873])).
% 1.13/0.97 tff(875,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c6) = multiply(sk_c2, sk_c6)),
% 1.13/0.97 inference(symmetry,[status(thm)],[869])).
% 1.13/0.97 tff(876,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c6) = sk_c5),
% 1.13/0.97 inference(transitivity,[status(thm)],[875, 870])).
% 1.13/0.97 tff(877,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c7)),
% 1.13/0.97 inference(transitivity,[status(thm)],[718, 255, 154, 852, 178, 854, 849, 826, 823, 821, 875, 870, 428])).
% 1.13/0.97 tff(878,plain,
% 1.13/0.97 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[877, 876])).
% 1.13/0.97 tff(879,plain,
% 1.13/0.97 (multiply(sk_c7, sk_c5) = sk_c6),
% 1.13/0.97 inference(transitivity,[status(thm)],[849, 826, 878, 805, 804, 803, 802, 273])).
% 1.13/0.97 tff(880,plain,
% 1.13/0.97 (multiply(identity, sk_c7) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[863])).
% 1.13/0.97 tff(881,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 1.13/0.97 inference(symmetry,[status(thm)],[880])).
% 1.13/0.97 tff(882,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(883,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[882, 31])).
% 1.13/0.97 tff(884,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 1.13/0.97 inference(symmetry,[status(thm)],[883])).
% 1.13/0.97 tff(885,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[422, 871, 869])).
% 1.13/0.97 tff(886,plain,
% 1.13/0.97 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 1.13/0.97 inference(symmetry,[status(thm)],[286])).
% 1.13/0.97 tff(887,plain,
% 1.13/0.97 (sk_c5 = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.13/0.97 inference(transitivity,[status(thm)],[428, 886, 427])).
% 1.13/0.97 tff(888,plain,
% 1.13/0.97 (multiply(sk_c5, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3)),
% 1.13/0.97 inference(monotonicity,[status(thm)],[887])).
% 1.13/0.97 tff(889,plain,
% 1.13/0.97 (sk_c6 = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))),
% 1.13/0.97 inference(transitivity,[status(thm)],[274, 796, 794, 790, 788, 787, 857, 434, 431, 888, 426])).
% 1.13/0.97 tff(890,plain,
% 1.13/0.97 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[889, 885])).
% 1.13/0.97 tff(891,plain,
% 1.13/0.97 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 1.13/0.97 inference(symmetry,[status(thm)],[890])).
% 1.13/0.97 tff(892,plain,
% 1.13/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(893,plain,
% 1.13/0.97 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[892, 31])).
% 1.13/0.97 tff(894,plain,
% 1.13/0.97 (multiply(multiply(sk_c6, sk_c3), sk_c6) = inverse(sk_c7)),
% 1.13/0.97 inference(transitivity,[status(thm)],[288, 286, 422, 781])).
% 1.13/0.97 tff(895,plain,
% 1.13/0.97 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[894])).
% 1.13/0.98 tff(896,plain,
% 1.13/0.98 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 1.13/0.98 inference(symmetry,[status(thm)],[339])).
% 1.13/0.98 tff(897,plain,
% 1.13/0.98 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, sk_c7)),
% 1.13/0.98 inference(transitivity,[status(thm)],[288, 286])).
% 1.13/0.98 tff(898,plain,
% 1.13/0.98 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), sk_c6)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[897])).
% 1.13/0.98 tff(899,plain,
% 1.13/0.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), sk_c6)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(900,plain,
% 1.13/0.98 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), sk_c6))),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[899, 31])).
% 1.13/0.98 tff(901,plain,
% 1.13/0.98 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6) = multiply(sk_c7, sk_c3)),
% 1.13/0.98 inference(transitivity,[status(thm)],[900, 898, 896, 895, 153, 561, 719])).
% 1.13/0.98 tff(902,plain,
% 1.13/0.98 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[901])).
% 1.13/0.98 tff(903,plain,
% 1.13/0.98 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6)),
% 1.13/0.98 inference(symmetry,[status(thm)],[902])).
% 1.13/0.98 tff(904,plain,
% 1.13/0.98 (inverse(sk_c2) = sk_c7),
% 1.13/0.98 inference(transitivity,[status(thm)],[653, 274, 796, 903, 893, 891, 884, 881, 85])).
% 1.13/0.98 tff(905,plain,
% 1.13/0.98 ((sk_c5 = multiply(sk_c3, sk_c6)) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 1.13/0.98 inference(commutativity,[status(thm)],[])).
% 1.13/0.98 tff(906,plain,
% 1.13/0.98 ((inverse(sk_c7) = sk_c7) <=> (sk_c5 = multiply(sk_c3, sk_c6))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[780, 249])).
% 1.13/0.98 tff(907,plain,
% 1.13/0.98 ((inverse(sk_c7) = sk_c7) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 1.13/0.98 inference(transitivity,[status(thm)],[906, 905])).
% 1.13/0.98 tff(908,plain,
% 1.13/0.98 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (inverse(sk_c7) = sk_c7)),
% 1.13/0.98 inference(symmetry,[status(thm)],[907])).
% 1.13/0.98 tff(909,plain,
% 1.13/0.98 ((sk_c7 = multiply(sk_c2, sk_c6)) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 1.13/0.98 inference(commutativity,[status(thm)],[])).
% 1.13/0.98 tff(910,plain,
% 1.13/0.98 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (sk_c7 = multiply(sk_c2, sk_c6))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[248, 871])).
% 1.13/0.98 tff(911,plain,
% 1.13/0.98 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 1.13/0.98 inference(transitivity,[status(thm)],[910, 909])).
% 1.13/0.98 tff(912,plain,
% 1.13/0.98 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 1.13/0.98 inference(symmetry,[status(thm)],[911])).
% 1.13/0.98 tff(913,plain,
% 1.13/0.98 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6)),
% 1.13/0.98 inference(symmetry,[status(thm)],[893])).
% 1.13/0.98 tff(914,plain,
% 1.13/0.98 (sk_c7 = sk_c6),
% 1.13/0.98 inference(transitivity,[status(thm)],[86, 880, 883, 890, 913, 902, 802, 273])).
% 1.13/0.98 tff(915,plain,
% 1.13/0.98 (multiply(sk_c2, sk_c6) = multiply(sk_c7, sk_c5)),
% 1.13/0.98 inference(transitivity,[status(thm)],[869, 839, 822, 825, 850])).
% 1.13/0.98 tff(916,plain,
% 1.13/0.98 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[915, 914])).
% 1.13/0.98 tff(917,plain,
% 1.13/0.98 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 1.13/0.98 inference(symmetry,[status(thm)],[916])).
% 1.13/0.98 tff(918,plain,
% 1.13/0.98 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (inverse(sk_c7) = sk_c7)),
% 1.13/0.98 inference(transitivity,[status(thm)],[917, 912, 908])).
% 1.13/0.98 tff(919,plain,
% 1.13/0.98 (inverse(sk_c7) = sk_c7),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[879, 918])).
% 1.13/0.98 tff(920,plain,
% 1.13/0.98 (multiply(sk_c2, sk_c6) = sk_c7),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[879, 917])).
% 1.13/0.98 tff(921,plain,
% 1.13/0.98 (multiply(sk_c7, sk_c7) = sk_c6),
% 1.13/0.98 inference(transitivity,[status(thm)],[250, 354, 802, 273])).
% 1.13/0.98 tff(922,plain,
% 1.13/0.98 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(923,plain,
% 1.13/0.98 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(924,plain,
% 1.13/0.98 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6))))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[923])).
% 1.13/0.98 tff(925,plain,
% 1.13/0.98 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 1.13/0.98 inference(transitivity,[status(thm)],[924, 922])).
% 1.13/0.98 tff(926,plain,
% 1.13/0.98 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(927,plain,
% 1.13/0.98 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[926, 925])).
% 1.13/0.98 tff(928,plain,
% 1.13/0.98 ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6))),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[927, 368, 422, 780, 225])).
% 1.13/0.98 tff(929,plain,
% 1.13/0.98 ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6))),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[928, 921])).
% 1.13/0.98 tff(930,plain,
% 1.13/0.98 (~(inverse(sk_c7) = sk_c6)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[929, 920, 919, 904, 879])).
% 1.13/0.98 tff(931,plain,
% 1.13/0.98 (~(multiply(sk_c7, sk_c5) = sk_c6)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[930, 874])).
% 1.13/0.98 tff(932,plain,
% 1.13/0.98 ($false),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[879, 931])).
% 1.13/0.98 tff(933,plain,(~(multiply(sk_c2, sk_c6) = sk_c5)), inference(lemma,lemma(discharge,[]))).
% 1.13/0.98 tff(934,plain,
% 1.13/0.98 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(935,plain,
% 1.13/0.98 (((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(936,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_24')).
% 1.13/0.98 tff(937,plain,
% 1.13/0.98 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[936, 935])).
% 1.13/0.98 tff(938,plain,
% 1.13/0.98 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[937, 934])).
% 1.13/0.98 tff(939,plain,
% 1.13/0.98 (inverse(sk_c4) = sk_c6),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[938, 933])).
% 1.13/0.98 tff(940,plain,
% 1.13/0.98 (sk_c6 = inverse(sk_c4)),
% 1.13/0.98 inference(symmetry,[status(thm)],[939])).
% 1.13/0.98 tff(941,plain,
% 1.13/0.98 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)) = inverse(sk_c4)),
% 1.13/0.98 inference(transitivity,[status(thm)],[810, 809, 808, 433, 807, 806, 805, 804, 803, 802, 273, 940])).
% 1.13/0.98 tff(942,plain,
% 1.13/0.98 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[941])).
% 1.13/0.98 tff(943,plain,
% 1.13/0.98 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4)),
% 1.13/0.98 inference(symmetry,[status(thm)],[942])).
% 1.13/0.98 tff(944,plain,
% 1.13/0.98 (identity = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4)),
% 1.13/0.98 inference(transitivity,[status(thm)],[532, 943])).
% 1.13/0.98 tff(945,plain,
% 1.13/0.98 (multiply(identity, sk_c5) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[944])).
% 1.13/0.98 tff(946,plain,
% 1.13/0.98 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 1.13/0.98 inference(symmetry,[status(thm)],[945])).
% 1.13/0.98 tff(947,plain,
% 1.13/0.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(948,plain,
% 1.13/0.98 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5))),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[947, 31])).
% 1.13/0.98 tff(949,plain,
% 1.13/0.98 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5)) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5)),
% 1.13/0.98 inference(symmetry,[status(thm)],[948])).
% 1.13/0.98 tff(950,plain,
% 1.13/0.98 (((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(951,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_25')).
% 1.13/0.98 tff(952,plain,
% 1.13/0.98 ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[951, 950])).
% 1.13/0.98 tff(953,plain,
% 1.13/0.98 (multiply(sk_c4, sk_c5) = sk_c6),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[952, 933])).
% 1.13/0.98 tff(954,plain,
% 1.13/0.98 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[811, 953])).
% 1.13/0.98 tff(955,plain,
% 1.13/0.98 (multiply(sk_c6, sk_c6) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5))),
% 1.13/0.98 inference(symmetry,[status(thm)],[954])).
% 1.13/0.98 tff(956,plain,
% 1.13/0.98 (identity = multiply(sk_c6, sk_c6)),
% 1.13/0.98 inference(transitivity,[status(thm)],[154, 830, 178, 457, 829, 826, 823, 821])).
% 1.13/0.98 tff(957,plain,
% 1.13/0.98 (multiply(identity, sk_c2) = multiply(multiply(sk_c6, sk_c6), sk_c2)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[956])).
% 1.13/0.98 tff(958,plain,
% 1.13/0.98 (sk_c2 = sk_c6),
% 1.13/0.98 inference(transitivity,[status(thm)],[867, 957, 862, 860, 807, 806, 805, 804, 803, 802, 273])).
% 1.13/0.98 tff(959,plain,
% 1.13/0.98 (multiply(sk_c2, sk_c6) = multiply(sk_c6, sk_c6)),
% 1.13/0.98 inference(monotonicity,[status(thm)],[958])).
% 1.13/0.98 tff(960,plain,
% 1.13/0.98 (multiply(sk_c2, sk_c6) = sk_c5),
% 1.13/0.98 inference(transitivity,[status(thm)],[959, 955, 949, 946, 847, 844, 842, 838, 819, 816, 813, 801, 799, 288, 424, 422])).
% 1.13/0.98 tff(961,plain,
% 1.13/0.98 ($false),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[933, 960])).
% 1.13/0.98 % SZS output end Proof
%------------------------------------------------------------------------------