TSTP Solution File: GRP303-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP303-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 22:27:05 EDT 2022
% Result : Unsatisfiable 1.29s 1.04s
% Output : Proof 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP303-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 31 16:14:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 1.29/1.04 % SZS status Unsatisfiable
% 1.29/1.04 % SZS output start Proof
% 1.29/1.04 tff(sk_c6_type, type, (
% 1.29/1.04 sk_c6: $i)).
% 1.29/1.04 tff(multiply_type, type, (
% 1.29/1.04 multiply: ( $i * $i ) > $i)).
% 1.29/1.04 tff(sk_c7_type, type, (
% 1.29/1.04 sk_c7: $i)).
% 1.29/1.04 tff(sk_c2_type, type, (
% 1.29/1.04 sk_c2: $i)).
% 1.29/1.04 tff(sk_c1_type, type, (
% 1.29/1.04 sk_c1: $i)).
% 1.29/1.04 tff(sk_c3_type, type, (
% 1.29/1.04 sk_c3: $i)).
% 1.29/1.04 tff(sk_c4_type, type, (
% 1.29/1.04 sk_c4: $i)).
% 1.29/1.04 tff(sk_c5_type, type, (
% 1.29/1.04 sk_c5: $i)).
% 1.29/1.04 tff(identity_type, type, (
% 1.29/1.04 identity: $i)).
% 1.29/1.04 tff(inverse_type, type, (
% 1.29/1.04 inverse: $i > $i)).
% 1.29/1.04 tff(1,assumption,(~(multiply(sk_c1, sk_c7) = sk_c6)), introduced(assumption)).
% 1.29/1.04 tff(2,plain,
% 1.29/1.04 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(3,plain,
% 1.29/1.04 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(4,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 1.29/1.04 tff(5,plain,
% 1.29/1.04 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[4, 3])).
% 1.29/1.04 tff(6,plain,
% 1.29/1.04 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[5, 2])).
% 1.29/1.04 tff(7,plain,
% 1.29/1.04 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[6, 1])).
% 1.29/1.04 tff(8,assumption,(~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))), introduced(assumption)).
% 1.29/1.04 tff(9,plain,
% 1.29/1.04 (((multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c3, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(10,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) <=> (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(11,plain,
% 1.29/1.04 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[10])).
% 1.29/1.04 tff(12,plain,
% 1.29/1.04 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c3, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)))),
% 1.29/1.04 inference(transitivity,[status(thm)],[11, 9])).
% 1.29/1.04 tff(13,plain,
% 1.29/1.04 (((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))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(14,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 1.29/1.04 tff(15,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[14, 13])).
% 1.29/1.04 tff(16,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[15, 13])).
% 1.29/1.04 tff(17,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[16, 13])).
% 1.29/1.04 tff(18,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[17, 13])).
% 1.29/1.04 tff(19,plain,
% 1.29/1.04 ((multiply(sk_c3, sk_c6) = sk_c7) | (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[18, 12])).
% 1.29/1.04 tff(20,plain,
% 1.29/1.04 (multiply(sk_c3, sk_c6) = sk_c7),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[19, 8])).
% 1.29/1.04 tff(21,plain,
% 1.29/1.04 (sk_c7 = multiply(sk_c3, sk_c6)),
% 1.29/1.04 inference(symmetry,[status(thm)],[20])).
% 1.29/1.04 tff(22,plain,
% 1.29/1.04 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[21])).
% 1.29/1.04 tff(23,plain,
% 1.29/1.04 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.29/1.04 inference(symmetry,[status(thm)],[22])).
% 1.29/1.04 tff(24,plain,
% 1.29/1.04 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 1.29/1.04 inference(bind,[status(th)],[])).
% 1.29/1.04 tff(25,plain,
% 1.29/1.04 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 1.29/1.04 inference(quant_intro,[status(thm)],[24])).
% 1.29/1.04 tff(26,plain,
% 1.29/1.04 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(27,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 1.29/1.04 tff(28,plain,
% 1.29/1.04 (![X: $i] : (multiply(identity, X) = X)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[27, 26])).
% 1.29/1.04 tff(29,plain,(
% 1.29/1.04 ![X: $i] : (multiply(identity, X) = X)),
% 1.29/1.04 inference(skolemize,[status(sab)],[28])).
% 1.29/1.04 tff(30,plain,
% 1.29/1.04 (![X: $i] : (multiply(identity, X) = X)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[29, 25])).
% 1.29/1.04 tff(31,plain,
% 1.29/1.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c6))) = multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(32,plain,
% 1.29/1.04 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c6))) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[31, 30])).
% 1.29/1.04 tff(33,plain,
% 1.29/1.04 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 1.29/1.04 inference(bind,[status(th)],[])).
% 1.29/1.04 tff(34,plain,
% 1.29/1.04 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.29/1.04 inference(quant_intro,[status(thm)],[33])).
% 1.29/1.04 tff(35,plain,
% 1.29/1.04 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(36,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 1.29/1.04 tff(37,plain,
% 1.29/1.04 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[36, 35])).
% 1.29/1.04 tff(38,plain,(
% 1.29/1.04 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.29/1.04 inference(skolemize,[status(sab)],[37])).
% 1.29/1.04 tff(39,plain,
% 1.29/1.04 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[38, 34])).
% 1.29/1.04 tff(40,plain,
% 1.29/1.04 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(41,plain,
% 1.29/1.04 (multiply(inverse(sk_c3), sk_c3) = identity),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[40, 39])).
% 1.29/1.04 tff(42,plain,
% 1.29/1.04 (((multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(43,plain,
% 1.29/1.04 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)) | (inverse(sk_c3) = sk_c7))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[10])).
% 1.29/1.04 tff(44,plain,
% 1.29/1.04 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)))),
% 1.29/1.04 inference(transitivity,[status(thm)],[43, 42])).
% 1.29/1.04 tff(45,plain,
% 1.29/1.04 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(46,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 1.29/1.04 tff(47,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[46, 45])).
% 1.29/1.04 tff(48,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[47, 45])).
% 1.29/1.04 tff(49,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[48, 45])).
% 1.29/1.04 tff(50,plain,
% 1.29/1.04 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[49, 45])).
% 1.29/1.04 tff(51,plain,
% 1.29/1.04 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[50, 44])).
% 1.29/1.04 tff(52,plain,
% 1.29/1.04 (inverse(sk_c3) = sk_c7),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[51, 8])).
% 1.29/1.04 tff(53,plain,
% 1.29/1.04 (sk_c7 = inverse(sk_c3)),
% 1.29/1.04 inference(symmetry,[status(thm)],[52])).
% 1.29/1.04 tff(54,plain,
% 1.29/1.04 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 1.29/1.04 inference(monotonicity,[status(thm)],[53])).
% 1.29/1.04 tff(55,plain,
% 1.29/1.04 (multiply(sk_c7, sk_c3) = identity),
% 1.29/1.04 inference(transitivity,[status(thm)],[54, 41])).
% 1.29/1.04 tff(56,plain,
% 1.29/1.04 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c6))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[55])).
% 1.29/1.04 tff(57,plain,
% 1.29/1.04 (^[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))))),
% 1.29/1.04 inference(bind,[status(th)],[])).
% 1.29/1.04 tff(58,plain,
% 1.29/1.04 (![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)))),
% 1.29/1.04 inference(quant_intro,[status(thm)],[57])).
% 1.29/1.04 tff(59,plain,
% 1.29/1.04 (![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)))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(60,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 1.29/1.04 tff(61,plain,
% 1.29/1.04 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[60, 59])).
% 1.29/1.04 tff(62,plain,(
% 1.29/1.04 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.29/1.04 inference(skolemize,[status(sab)],[61])).
% 1.29/1.04 tff(63,plain,
% 1.29/1.04 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 1.29/1.04 inference(modus_ponens,[status(thm)],[62, 58])).
% 1.29/1.04 tff(64,plain,
% 1.29/1.04 ((~![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, multiply(sk_c3, sk_c6))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c6)))))),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(65,plain,
% 1.29/1.04 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c6))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c6))))),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[64, 63])).
% 1.29/1.04 tff(66,plain,
% 1.29/1.04 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c6)))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 1.29/1.04 inference(symmetry,[status(thm)],[65])).
% 1.29/1.04 tff(67,plain,
% 1.29/1.04 (multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c6))) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[23])).
% 1.29/1.04 tff(68,plain,
% 1.29/1.04 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 1.29/1.04 inference(symmetry,[status(thm)],[67])).
% 1.29/1.04 tff(69,plain,
% 1.29/1.04 ((~![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)))),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(70,plain,
% 1.29/1.04 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[69, 63])).
% 1.29/1.04 tff(71,plain,
% 1.29/1.04 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 1.29/1.04 inference(monotonicity,[status(thm)],[20])).
% 1.29/1.04 tff(72,plain,
% 1.29/1.04 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 1.29/1.04 inference(symmetry,[status(thm)],[71])).
% 1.29/1.04 tff(73,plain,
% 1.29/1.04 (multiply(sk_c7, sk_c7) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 1.29/1.04 inference(transitivity,[status(thm)],[72, 70, 68])).
% 1.29/1.04 tff(74,plain,
% 1.29/1.04 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c6))))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[73])).
% 1.29/1.04 tff(75,plain,
% 1.29/1.04 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[21])).
% 1.29/1.04 tff(76,plain,
% 1.29/1.04 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(sk_c7, sk_c7)),
% 1.29/1.04 inference(symmetry,[status(thm)],[75])).
% 1.29/1.04 tff(77,plain,
% 1.29/1.04 ((~![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)))),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(78,plain,
% 1.29/1.04 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[77, 63])).
% 1.29/1.04 tff(79,plain,
% 1.29/1.04 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 1.29/1.04 inference(monotonicity,[status(thm)],[55])).
% 1.29/1.04 tff(80,plain,
% 1.29/1.04 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.29/1.04 inference(symmetry,[status(thm)],[79])).
% 1.29/1.04 tff(81,plain,
% 1.29/1.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(82,plain,
% 1.29/1.04 (multiply(identity, sk_c6) = sk_c6),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[81, 30])).
% 1.29/1.04 tff(83,plain,
% 1.29/1.04 (sk_c6 = multiply(identity, sk_c6)),
% 1.29/1.04 inference(symmetry,[status(thm)],[82])).
% 1.29/1.04 tff(84,plain,
% 1.29/1.04 (sk_c6 = multiply(sk_c7, sk_c7)),
% 1.29/1.04 inference(transitivity,[status(thm)],[83, 80, 78, 76])).
% 1.29/1.04 tff(85,plain,
% 1.29/1.04 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 1.29/1.04 inference(monotonicity,[status(thm)],[84])).
% 1.29/1.04 tff(86,plain,
% 1.29/1.04 (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)),
% 1.29/1.04 inference(transitivity,[status(thm)],[85, 74, 66, 56, 32, 23])).
% 1.29/1.04 tff(87,plain,
% 1.29/1.04 ($false),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[8, 86])).
% 1.29/1.04 tff(88,plain,(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.04 tff(89,plain,
% 1.29/1.04 (multiply(sk_c6, sk_c7) = multiply(sk_c7, sk_c6)),
% 1.29/1.04 inference(symmetry,[status(thm)],[88])).
% 1.29/1.04 tff(90,plain,
% 1.29/1.04 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 1.29/1.04 inference(monotonicity,[status(thm)],[89])).
% 1.29/1.04 tff(91,plain,
% 1.29/1.04 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 1.29/1.04 inference(symmetry,[status(thm)],[90])).
% 1.29/1.04 tff(92,plain,
% 1.29/1.04 ((~![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)))),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(93,plain,
% 1.29/1.04 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[92, 63])).
% 1.29/1.04 tff(94,plain,
% 1.29/1.04 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 1.29/1.04 inference(symmetry,[status(thm)],[93])).
% 1.29/1.04 tff(95,plain,
% 1.29/1.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(sk_c6, sk_c7))),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(96,plain,
% 1.29/1.04 (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(sk_c6, sk_c7)),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[95, 30])).
% 1.29/1.04 tff(97,plain,
% 1.29/1.04 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 1.29/1.04 inference(quant_inst,[status(thm)],[])).
% 1.29/1.04 tff(98,plain,
% 1.29/1.04 (multiply(inverse(sk_c4), sk_c4) = identity),
% 1.29/1.04 inference(unit_resolution,[status(thm)],[97, 39])).
% 1.29/1.04 tff(99,plain,
% 1.29/1.04 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(100,plain,
% 1.29/1.04 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 1.29/1.04 inference(rewrite,[status(thm)],[])).
% 1.29/1.04 tff(101,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 1.29/1.05 tff(102,plain,
% 1.29/1.05 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[101, 100])).
% 1.29/1.05 tff(103,plain,
% 1.29/1.05 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[102, 99])).
% 1.29/1.05 tff(104,plain,
% 1.29/1.05 (inverse(sk_c4) = sk_c6),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[103, 1])).
% 1.29/1.05 tff(105,plain,
% 1.29/1.05 (sk_c6 = inverse(sk_c4)),
% 1.29/1.05 inference(symmetry,[status(thm)],[104])).
% 1.29/1.05 tff(106,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[105])).
% 1.29/1.05 tff(107,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c4) = identity),
% 1.29/1.05 inference(transitivity,[status(thm)],[106, 98])).
% 1.29/1.05 tff(108,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7)) = multiply(identity, multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(monotonicity,[status(thm)],[107])).
% 1.29/1.05 tff(109,plain,
% 1.29/1.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c7))))),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(110,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[109, 63])).
% 1.29/1.05 tff(111,plain,
% 1.29/1.05 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(symmetry,[status(thm)],[110])).
% 1.29/1.05 tff(112,plain,
% 1.29/1.05 (sk_c6 = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(symmetry,[status(thm)],[7])).
% 1.29/1.05 tff(113,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.05 inference(monotonicity,[status(thm)],[112])).
% 1.29/1.05 tff(114,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c6) = multiply(sk_c6, sk_c7)),
% 1.29/1.05 inference(transitivity,[status(thm)],[113, 111, 108, 96])).
% 1.29/1.05 tff(115,plain,
% 1.29/1.05 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(monotonicity,[status(thm)],[114])).
% 1.29/1.05 tff(116,plain,
% 1.29/1.05 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 1.29/1.05 inference(symmetry,[status(thm)],[115])).
% 1.29/1.05 tff(117,plain,
% 1.29/1.05 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(sk_c6, sk_c6)),
% 1.29/1.05 inference(symmetry,[status(thm)],[113])).
% 1.29/1.05 tff(118,plain,
% 1.29/1.05 (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(symmetry,[status(thm)],[108])).
% 1.29/1.05 tff(119,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c7) = multiply(identity, multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(symmetry,[status(thm)],[96])).
% 1.29/1.05 tff(120,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c6)),
% 1.29/1.05 inference(transitivity,[status(thm)],[119, 118, 110, 117])).
% 1.29/1.05 tff(121,plain,
% 1.29/1.05 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.29/1.05 inference(monotonicity,[status(thm)],[120])).
% 1.29/1.05 tff(122,plain,
% 1.29/1.05 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(symmetry,[status(thm)],[121])).
% 1.29/1.05 tff(123,plain,
% 1.29/1.05 ((~![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)))),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(124,plain,
% 1.29/1.05 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[123, 63])).
% 1.29/1.05 tff(125,assumption,(~(multiply(sk_c3, sk_c6) = sk_c7)), introduced(assumption)).
% 1.29/1.05 tff(126,plain,
% 1.29/1.05 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(127,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 1.29/1.05 tff(128,plain,
% 1.29/1.05 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[127, 126])).
% 1.29/1.05 tff(129,plain,
% 1.29/1.05 (inverse(sk_c2) = sk_c6),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[128, 125])).
% 1.29/1.05 tff(130,plain,
% 1.29/1.05 (sk_c6 = inverse(sk_c2)),
% 1.29/1.05 inference(symmetry,[status(thm)],[129])).
% 1.29/1.05 tff(131,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[130])).
% 1.29/1.05 tff(132,plain,
% 1.29/1.05 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 1.29/1.05 inference(symmetry,[status(thm)],[131])).
% 1.29/1.05 tff(133,plain,
% 1.29/1.05 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(134,plain,
% 1.29/1.05 (multiply(inverse(sk_c2), sk_c2) = identity),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[133, 39])).
% 1.29/1.05 tff(135,plain,
% 1.29/1.05 (identity = multiply(inverse(sk_c2), sk_c2)),
% 1.29/1.05 inference(symmetry,[status(thm)],[134])).
% 1.29/1.05 tff(136,plain,
% 1.29/1.05 (identity = multiply(sk_c6, sk_c2)),
% 1.29/1.05 inference(transitivity,[status(thm)],[135, 132])).
% 1.29/1.05 tff(137,plain,
% 1.29/1.05 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[136])).
% 1.29/1.05 tff(138,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(identity, sk_c6)),
% 1.29/1.05 inference(symmetry,[status(thm)],[137])).
% 1.29/1.05 tff(139,plain,
% 1.29/1.05 ((~![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)))),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(140,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[139, 63])).
% 1.29/1.05 tff(141,plain,
% 1.29/1.05 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 1.29/1.05 inference(symmetry,[status(thm)],[140])).
% 1.29/1.05 tff(142,plain,
% 1.29/1.05 (((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(143,axiom,((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 1.29/1.05 tff(144,plain,
% 1.29/1.05 ((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[143, 142])).
% 1.29/1.05 tff(145,plain,
% 1.29/1.05 (multiply(sk_c2, sk_c6) = sk_c7),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[144, 125])).
% 1.29/1.05 tff(146,plain,
% 1.29/1.05 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[145])).
% 1.29/1.05 tff(147,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 1.29/1.05 inference(symmetry,[status(thm)],[146])).
% 1.29/1.05 tff(148,plain,
% 1.29/1.05 (((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))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(149,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 1.29/1.05 tff(150,plain,
% 1.29/1.05 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[149, 148])).
% 1.29/1.05 tff(151,plain,
% 1.29/1.05 (multiply(sk_c1, sk_c7) = sk_c6),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[150, 125])).
% 1.29/1.05 tff(152,plain,
% 1.29/1.05 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[151])).
% 1.29/1.05 tff(153,plain,
% 1.29/1.05 ((~![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)))),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(154,plain,
% 1.29/1.05 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[153, 63])).
% 1.29/1.05 tff(155,assumption,(~(inverse(sk_c1) = sk_c7)), introduced(assumption)).
% 1.29/1.05 tff(156,plain,
% 1.29/1.05 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(157,plain,
% 1.29/1.05 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(158,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 1.29/1.05 tff(159,plain,
% 1.29/1.05 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[158, 157])).
% 1.29/1.05 tff(160,plain,
% 1.29/1.05 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[159, 156])).
% 1.29/1.05 tff(161,plain,
% 1.29/1.05 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[160, 155])).
% 1.29/1.05 tff(162,plain,
% 1.29/1.05 ((~![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)))),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(163,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[162, 63])).
% 1.29/1.05 tff(164,plain,
% 1.29/1.05 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.29/1.05 inference(symmetry,[status(thm)],[163])).
% 1.29/1.05 tff(165,plain,
% 1.29/1.05 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(166,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 1.29/1.05 tff(167,plain,
% 1.29/1.05 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[166, 165])).
% 1.29/1.05 tff(168,plain,
% 1.29/1.05 (multiply(sk_c3, sk_c6) = sk_c7),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[167, 155])).
% 1.29/1.05 tff(169,plain,
% 1.29/1.05 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[168])).
% 1.29/1.05 tff(170,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 1.29/1.05 inference(symmetry,[status(thm)],[169])).
% 1.29/1.05 tff(171,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.29/1.05 inference(transitivity,[status(thm)],[170, 164])).
% 1.29/1.05 tff(172,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[171])).
% 1.29/1.05 tff(173,plain,
% 1.29/1.05 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 1.29/1.05 inference(symmetry,[status(thm)],[172])).
% 1.29/1.05 tff(174,plain,
% 1.29/1.05 ((~![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)))),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(175,plain,
% 1.29/1.05 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[174, 63])).
% 1.29/1.05 tff(176,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 1.29/1.05 inference(symmetry,[status(thm)],[175])).
% 1.29/1.05 tff(177,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 1.29/1.05 tff(178,plain,
% 1.29/1.05 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(179,plain,
% 1.29/1.05 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(180,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 1.29/1.05 tff(181,plain,
% 1.29/1.05 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[180, 179])).
% 1.29/1.05 tff(182,plain,
% 1.29/1.05 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[181, 178])).
% 1.29/1.05 tff(183,plain,
% 1.29/1.05 (multiply(sk_c1, sk_c7) = sk_c6),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[182, 177])).
% 1.29/1.05 tff(184,plain,
% 1.29/1.05 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(185,plain,
% 1.29/1.05 (multiply(identity, sk_c7) = sk_c7),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[184, 30])).
% 1.29/1.05 tff(186,plain,
% 1.29/1.05 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(187,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 1.29/1.05 tff(188,plain,
% 1.29/1.05 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[187, 186])).
% 1.29/1.05 tff(189,plain,
% 1.29/1.05 (inverse(sk_c1) = sk_c7),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[188, 177])).
% 1.29/1.05 tff(190,plain,
% 1.29/1.05 (sk_c7 = inverse(sk_c1)),
% 1.29/1.05 inference(symmetry,[status(thm)],[189])).
% 1.29/1.05 tff(191,plain,
% 1.29/1.05 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[190])).
% 1.29/1.05 tff(192,plain,
% 1.29/1.05 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.29/1.05 inference(symmetry,[status(thm)],[191])).
% 1.29/1.05 tff(193,plain,
% 1.29/1.05 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 1.29/1.05 inference(quant_inst,[status(thm)],[])).
% 1.29/1.05 tff(194,plain,
% 1.29/1.05 (multiply(inverse(sk_c1), sk_c1) = identity),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[193, 39])).
% 1.29/1.05 tff(195,plain,
% 1.29/1.05 (identity = multiply(inverse(sk_c1), sk_c1)),
% 1.29/1.05 inference(symmetry,[status(thm)],[194])).
% 1.29/1.05 tff(196,plain,
% 1.29/1.05 (identity = multiply(sk_c7, sk_c1)),
% 1.29/1.05 inference(transitivity,[status(thm)],[195, 192])).
% 1.29/1.05 tff(197,plain,
% 1.29/1.05 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[196])).
% 1.29/1.05 tff(198,plain,
% 1.29/1.05 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 1.29/1.05 inference(symmetry,[status(thm)],[197])).
% 1.29/1.05 tff(199,plain,
% 1.29/1.05 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.29/1.05 inference(symmetry,[status(thm)],[154])).
% 1.29/1.05 tff(200,plain,
% 1.29/1.05 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[183])).
% 1.29/1.05 tff(201,plain,
% 1.29/1.05 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.29/1.05 inference(symmetry,[status(thm)],[200])).
% 1.29/1.05 tff(202,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c7) = sk_c7),
% 1.29/1.05 inference(transitivity,[status(thm)],[89, 201, 199, 198, 185])).
% 1.29/1.05 tff(203,plain,
% 1.29/1.05 (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c1, sk_c7)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[202])).
% 1.29/1.05 tff(204,plain,
% 1.29/1.05 (multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.29/1.05 inference(transitivity,[status(thm)],[203, 183])).
% 1.29/1.05 tff(205,plain,
% 1.29/1.05 (((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(206,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 1.29/1.05 tff(207,plain,
% 1.29/1.05 ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[206, 205])).
% 1.29/1.05 tff(208,plain,
% 1.29/1.05 (inverse(sk_c2) = sk_c6),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[207, 177])).
% 1.29/1.05 tff(209,plain,
% 1.29/1.05 (sk_c6 = inverse(sk_c2)),
% 1.29/1.05 inference(symmetry,[status(thm)],[208])).
% 1.29/1.05 tff(210,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[209])).
% 1.29/1.05 tff(211,plain,
% 1.29/1.05 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 1.29/1.05 inference(symmetry,[status(thm)],[210])).
% 1.29/1.05 tff(212,plain,
% 1.29/1.05 (identity = multiply(sk_c6, sk_c2)),
% 1.29/1.05 inference(transitivity,[status(thm)],[135, 211])).
% 1.29/1.05 tff(213,plain,
% 1.29/1.05 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[212])).
% 1.29/1.05 tff(214,plain,
% 1.29/1.05 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(identity, sk_c6)),
% 1.29/1.05 inference(symmetry,[status(thm)],[213])).
% 1.29/1.05 tff(215,plain,
% 1.29/1.05 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c7))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(216,plain,
% 1.29/1.05 (((multiply(sk_c2, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c7))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(217,axiom,((multiply(sk_c2, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 1.29/1.05 tff(218,plain,
% 1.29/1.05 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[217, 216])).
% 1.29/1.05 tff(219,plain,
% 1.29/1.05 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c7)),
% 1.29/1.05 inference(modus_ponens,[status(thm)],[218, 215])).
% 1.29/1.05 tff(220,plain,
% 1.29/1.05 (multiply(sk_c2, sk_c6) = sk_c7),
% 1.29/1.05 inference(unit_resolution,[status(thm)],[219, 177])).
% 1.29/1.05 tff(221,plain,
% 1.29/1.05 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.29/1.05 inference(monotonicity,[status(thm)],[220])).
% 1.29/1.05 tff(222,plain,
% 1.29/1.05 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 1.29/1.05 inference(symmetry,[status(thm)],[221])).
% 1.29/1.05 tff(223,plain,
% 1.29/1.05 (sk_c7 = multiply(identity, sk_c7)),
% 1.29/1.05 inference(symmetry,[status(thm)],[185])).
% 1.29/1.05 tff(224,plain,
% 1.29/1.05 (inverse(sk_c1) = sk_c6),
% 1.29/1.05 inference(transitivity,[status(thm)],[189, 223, 197, 154, 200, 88, 222, 141, 214, 82])).
% 1.29/1.05 tff(225,plain,
% 1.29/1.05 (sk_c6 = multiply(sk_c6, sk_c7)),
% 1.29/1.05 inference(transitivity,[status(thm)],[83, 213, 140, 221])).
% 1.29/1.05 tff(226,plain,
% 1.29/1.05 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 1.29/1.05 inference(monotonicity,[status(thm)],[225])).
% 1.29/1.05 tff(227,plain,
% 1.29/1.05 (multiply(sk_c1, sk_c6) = sk_c7),
% 1.29/1.05 inference(transitivity,[status(thm)],[226, 203, 183, 83, 213, 140, 221, 89, 201, 199, 198, 185])).
% 1.29/1.05 tff(228,plain,
% 1.29/1.05 (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 1.29/1.05 inference(bind,[status(th)],[])).
% 1.29/1.05 tff(229,plain,
% 1.29/1.05 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.05 inference(quant_intro,[status(thm)],[228])).
% 1.29/1.05 tff(230,plain,
% 1.29/1.05 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(rewrite((~(multiply(sk_c7, sk_c6) = sk_c5)) <=> (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)))), rewrite((~(multiply(X2, sk_c5) = sk_c6)) <=> (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6))), (((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), rewrite(((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))), (((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))))),
% 1.29/1.05 inference(bind,[status(th)],[])).
% 1.29/1.05 tff(231,plain,
% 1.29/1.05 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.05 inference(quant_intro,[status(thm)],[230])).
% 1.29/1.05 tff(232,plain,
% 1.29/1.05 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(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)) | (~(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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.29/1.05 inference(rewrite,[status(thm)],[])).
% 1.29/1.05 tff(233,plain,
% 1.29/1.05 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(multiply(sk_c6, sk_c7) = sk_c5), ((multiply(sk_c6, sk_c7) = sk_c5) <=> $true)), ((~(multiply(sk_c6, sk_c7) = sk_c5)) <=> (~$true))), rewrite((~$true) <=> $false), ((~(multiply(sk_c6, sk_c7) = sk_c5)) <=> $false)), (((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | $false | (~(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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), rewrite(((~(multiply(sk_c7, sk_c6) = sk_c5)) | $false | (~(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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 1.29/1.05 inference(bind,[status(th)],[])).
% 1.29/1.05 tff(234,plain,
% 1.29/1.05 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(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)) | (~(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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.29/1.05 inference(quant_intro,[status(thm)],[233])).
% 1.29/1.05 tff(235,plain,
% 1.29/1.05 (^[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(sk_c6, sk_c7) = sk_c5))) <=> ((~(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))) | (~(multiply(X3, sk_c7) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(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)) | (~(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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(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)) | (~(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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 1.29/1.06 inference(bind,[status(th)],[])).
% 1.29/1.06 tff(236,plain,
% 1.29/1.06 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(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)) | (~(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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.29/1.06 inference(quant_intro,[status(thm)],[235])).
% 1.29/1.06 tff(237,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 1.29/1.06 tff(238,plain,
% 1.29/1.06 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.29/1.06 inference(modus_ponens,[status(thm)],[237, 236])).
% 1.29/1.06 tff(239,plain,
% 1.29/1.06 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.29/1.06 inference(modus_ponens,[status(thm)],[238, 234])).
% 1.29/1.06 tff(240,plain,
% 1.29/1.06 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = 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_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 1.29/1.06 inference(modus_ponens,[status(thm)],[239, 232])).
% 1.29/1.06 tff(241,plain,
% 1.29/1.06 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.06 inference(modus_ponens,[status(thm)],[240, 231])).
% 1.29/1.06 tff(242,plain,(
% 1.29/1.06 ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.06 inference(skolemize,[status(sab)],[241])).
% 1.29/1.06 tff(243,plain,
% 1.29/1.06 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.06 inference(modus_ponens,[status(thm)],[242, 229])).
% 1.29/1.06 tff(244,plain,
% 1.29/1.06 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.06 inference(rewrite,[status(thm)],[])).
% 1.29/1.06 tff(245,plain,
% 1.29/1.06 (((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.06 inference(rewrite,[status(thm)],[])).
% 1.29/1.06 tff(246,plain,
% 1.29/1.06 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 1.29/1.06 inference(monotonicity,[status(thm)],[245])).
% 1.29/1.06 tff(247,plain,
% 1.29/1.06 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.06 inference(transitivity,[status(thm)],[246, 244])).
% 1.29/1.06 tff(248,plain,
% 1.29/1.06 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.06 inference(quant_inst,[status(thm)],[])).
% 1.29/1.06 tff(249,plain,
% 1.29/1.06 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.06 inference(modus_ponens,[status(thm)],[248, 247])).
% 1.29/1.06 tff(250,plain,
% 1.29/1.06 ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.06 inference(unit_resolution,[status(thm)],[249, 88, 183, 189, 243])).
% 1.29/1.06 tff(251,plain,
% 1.29/1.06 ($false),
% 1.29/1.06 inference(unit_resolution,[status(thm)],[250, 227, 224, 204])).
% 1.29/1.06 tff(252,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 1.29/1.06 tff(253,plain,
% 1.29/1.06 (sk_c7 = inverse(sk_c3)),
% 1.29/1.06 inference(symmetry,[status(thm)],[252])).
% 1.29/1.06 tff(254,plain,
% 1.29/1.06 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 1.29/1.06 inference(monotonicity,[status(thm)],[253])).
% 1.29/1.06 tff(255,plain,
% 1.29/1.06 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 1.29/1.06 inference(symmetry,[status(thm)],[254])).
% 1.29/1.06 tff(256,plain,
% 1.29/1.06 (identity = multiply(inverse(sk_c3), sk_c3)),
% 1.29/1.06 inference(symmetry,[status(thm)],[41])).
% 1.29/1.06 tff(257,plain,
% 1.29/1.06 (identity = multiply(sk_c7, sk_c3)),
% 1.29/1.06 inference(transitivity,[status(thm)],[256, 255])).
% 1.29/1.06 tff(258,plain,
% 1.29/1.06 (multiply(sk_c4, multiply(sk_c7, sk_c6)) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.29/1.06 inference(monotonicity,[status(thm)],[88])).
% 1.29/1.06 tff(259,plain,
% 1.29/1.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c6) = multiply(sk_c4, multiply(sk_c7, sk_c6)))),
% 1.29/1.06 inference(quant_inst,[status(thm)],[])).
% 1.29/1.06 tff(260,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, sk_c7), sk_c6) = multiply(sk_c4, multiply(sk_c7, sk_c6))),
% 1.29/1.06 inference(unit_resolution,[status(thm)],[259, 63])).
% 1.29/1.06 tff(261,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, sk_c7), sk_c6) = sk_c6),
% 1.29/1.06 inference(transitivity,[status(thm)],[260, 258, 161])).
% 1.29/1.06 tff(262,plain,
% 1.29/1.06 (multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)) = multiply(sk_c4, sk_c6)),
% 1.29/1.06 inference(monotonicity,[status(thm)],[261])).
% 1.29/1.06 tff(263,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))),
% 1.29/1.06 inference(monotonicity,[status(thm)],[262, 257])).
% 1.29/1.06 tff(264,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity)),
% 1.29/1.06 inference(symmetry,[status(thm)],[263])).
% 1.29/1.06 tff(265,plain,
% 1.29/1.06 ((~![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)))),
% 1.29/1.06 inference(quant_inst,[status(thm)],[])).
% 1.29/1.06 tff(266,plain,
% 1.29/1.06 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))),
% 1.29/1.06 inference(unit_resolution,[status(thm)],[265, 63])).
% 1.29/1.06 tff(267,plain,
% 1.29/1.06 ((~![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)))),
% 1.29/1.06 inference(quant_inst,[status(thm)],[])).
% 1.29/1.06 tff(268,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, sk_c6), sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.29/1.06 inference(unit_resolution,[status(thm)],[267, 63])).
% 1.29/1.06 tff(269,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, sk_c6), sk_c7) = sk_c6),
% 1.29/1.06 inference(transitivity,[status(thm)],[268, 161])).
% 1.29/1.06 tff(270,plain,
% 1.29/1.06 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 1.29/1.06 inference(monotonicity,[status(thm)],[269])).
% 1.29/1.06 tff(271,plain,
% 1.29/1.06 (multiply(sk_c6, sk_c3) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3)),
% 1.29/1.06 inference(symmetry,[status(thm)],[270])).
% 1.29/1.06 tff(272,plain,
% 1.29/1.06 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity)),
% 1.29/1.06 inference(transitivity,[status(thm)],[271, 266, 264])).
% 1.29/1.06 tff(273,plain,
% 1.29/1.06 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity), multiply(sk_c6, sk_c7))),
% 1.29/1.06 inference(monotonicity,[status(thm)],[272])).
% 1.29/1.06 tff(274,plain,
% 1.29/1.06 (multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 1.29/1.06 inference(symmetry,[status(thm)],[273])).
% 1.29/1.06 tff(275,plain,
% 1.29/1.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), multiply(identity, multiply(sk_c6, sk_c7))))),
% 1.29/1.06 inference(quant_inst,[status(thm)],[])).
% 1.29/1.06 tff(276,plain,
% 1.29/1.06 (multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), multiply(identity, multiply(sk_c6, sk_c7)))),
% 1.29/1.06 inference(unit_resolution,[status(thm)],[275, 63])).
% 1.29/1.06 tff(277,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), multiply(identity, multiply(sk_c6, sk_c7))) = multiply(multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), identity), multiply(sk_c6, sk_c7))),
% 1.29/1.06 inference(symmetry,[status(thm)],[276])).
% 1.29/1.06 tff(278,plain,
% 1.29/1.06 (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.29/1.06 inference(transitivity,[status(thm)],[96, 89])).
% 1.29/1.06 tff(279,plain,
% 1.29/1.06 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), multiply(identity, multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6))),
% 1.29/1.06 inference(monotonicity,[status(thm)],[262, 278])).
% 1.29/1.07 tff(280,plain,
% 1.29/1.07 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c7), sk_c6)), multiply(identity, multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(symmetry,[status(thm)],[279])).
% 1.29/1.07 tff(281,plain,
% 1.29/1.07 ((~![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_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6)))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(282,plain,
% 1.29/1.07 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c6))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[281, 63])).
% 1.29/1.07 tff(283,plain,
% 1.29/1.07 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[269])).
% 1.29/1.07 tff(284,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c6) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c6)),
% 1.29/1.07 inference(symmetry,[status(thm)],[283])).
% 1.29/1.07 tff(285,plain,
% 1.29/1.07 (sk_c6 = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[161])).
% 1.29/1.07 tff(286,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[285])).
% 1.29/1.07 tff(287,plain,
% 1.29/1.07 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(sk_c6, sk_c6)),
% 1.29/1.07 inference(symmetry,[status(thm)],[286])).
% 1.29/1.07 tff(288,plain,
% 1.29/1.07 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6))),
% 1.29/1.07 inference(rewrite,[status(thm)],[])).
% 1.29/1.07 tff(289,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 1.29/1.07 tff(290,plain,
% 1.29/1.07 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)),
% 1.29/1.07 inference(modus_ponens,[status(thm)],[289, 288])).
% 1.29/1.07 tff(291,plain,
% 1.29/1.07 (inverse(sk_c4) = sk_c6),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[290, 155])).
% 1.29/1.07 tff(292,plain,
% 1.29/1.07 (sk_c6 = inverse(sk_c4)),
% 1.29/1.07 inference(symmetry,[status(thm)],[291])).
% 1.29/1.07 tff(293,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[292])).
% 1.29/1.07 tff(294,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c4) = identity),
% 1.29/1.07 inference(transitivity,[status(thm)],[293, 98])).
% 1.29/1.07 tff(295,plain,
% 1.29/1.07 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7)) = multiply(identity, multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[294])).
% 1.29/1.07 tff(296,plain,
% 1.29/1.07 (multiply(identity, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[295])).
% 1.29/1.07 tff(297,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 1.29/1.07 inference(transitivity,[status(thm)],[119, 296, 110, 287, 284, 282, 280, 277, 274, 176, 173])).
% 1.29/1.07 tff(298,plain,
% 1.29/1.07 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c7))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[297])).
% 1.29/1.07 tff(299,plain,
% 1.29/1.07 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c7)) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[298])).
% 1.29/1.07 tff(300,plain,
% 1.29/1.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c7) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c7)))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(301,plain,
% 1.29/1.07 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c7) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c7))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[300, 63])).
% 1.29/1.07 tff(302,plain,
% 1.29/1.07 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c7) = multiply(sk_c6, sk_c7)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[161])).
% 1.29/1.07 tff(303,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c7)),
% 1.29/1.07 inference(symmetry,[status(thm)],[302])).
% 1.29/1.07 tff(304,plain,
% 1.29/1.07 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[168])).
% 1.29/1.07 tff(305,plain,
% 1.29/1.07 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 1.29/1.07 inference(symmetry,[status(thm)],[124])).
% 1.29/1.07 tff(306,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c6)),
% 1.29/1.07 inference(transitivity,[status(thm)],[119, 296, 110, 287])).
% 1.29/1.07 tff(307,plain,
% 1.29/1.07 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[306])).
% 1.29/1.07 tff(308,plain,
% 1.29/1.07 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.29/1.07 inference(transitivity,[status(thm)],[307, 305, 304, 88, 303, 301, 299, 161])).
% 1.29/1.07 tff(309,plain,
% 1.29/1.07 (sk_c7 = multiply(sk_c3, sk_c6)),
% 1.29/1.07 inference(symmetry,[status(thm)],[168])).
% 1.29/1.07 tff(310,plain,
% 1.29/1.07 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[309])).
% 1.29/1.07 tff(311,plain,
% 1.29/1.07 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[285])).
% 1.29/1.07 tff(312,plain,
% 1.29/1.07 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(sk_c3, sk_c6)),
% 1.29/1.07 inference(symmetry,[status(thm)],[311])).
% 1.29/1.07 tff(313,plain,
% 1.29/1.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c7)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c6, sk_c7))))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(314,plain,
% 1.29/1.07 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c7)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[313, 63])).
% 1.29/1.07 tff(315,plain,
% 1.29/1.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c7))))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(316,plain,
% 1.29/1.07 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[315, 63])).
% 1.29/1.07 tff(317,plain,
% 1.29/1.07 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[316])).
% 1.29/1.07 tff(318,plain,
% 1.29/1.07 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(sk_c7, sk_c6)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[161])).
% 1.29/1.07 tff(319,plain,
% 1.29/1.07 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(symmetry,[status(thm)],[318])).
% 1.29/1.07 tff(320,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(transitivity,[status(thm)],[89, 319, 317])).
% 1.29/1.07 tff(321,plain,
% 1.29/1.07 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[320])).
% 1.29/1.07 tff(322,plain,
% 1.29/1.07 (multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[321])).
% 1.29/1.07 tff(323,plain,
% 1.29/1.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7))))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(324,plain,
% 1.29/1.07 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7)))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[323, 63])).
% 1.29/1.07 tff(325,plain,
% 1.29/1.07 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)) = sk_c7),
% 1.29/1.07 inference(transitivity,[status(thm)],[324, 322, 314, 312, 168])).
% 1.29/1.07 tff(326,plain,
% 1.29/1.07 (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)), sk_c7) = multiply(sk_c7, sk_c7)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[325])).
% 1.29/1.07 tff(327,plain,
% 1.29/1.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(multiply(sk_c6, sk_c7), sk_c7)))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(328,plain,
% 1.29/1.07 (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(multiply(sk_c6, sk_c7), sk_c7))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[327, 63])).
% 1.29/1.07 tff(329,plain,
% 1.29/1.07 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(multiply(sk_c6, sk_c7), sk_c7)) = multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)), sk_c7)),
% 1.29/1.07 inference(symmetry,[status(thm)],[328])).
% 1.29/1.07 tff(330,plain,
% 1.29/1.07 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(multiply(sk_c6, sk_c7), sk_c7))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[297])).
% 1.29/1.07 tff(331,plain,
% 1.29/1.07 (multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, sk_c7))) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(sk_c7, sk_c4)), multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[324])).
% 1.29/1.07 tff(332,plain,
% 1.29/1.07 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[314])).
% 1.29/1.07 tff(333,plain,
% 1.29/1.07 (inverse(sk_c3) = sk_c6),
% 1.29/1.07 inference(transitivity,[status(thm)],[252, 309, 311, 332, 321, 331, 330, 329, 326, 310, 70, 307, 305, 304, 88, 303, 301, 299, 161])).
% 1.29/1.07 tff(334,plain,
% 1.29/1.07 (sk_c7 = multiply(sk_c6, sk_c7)),
% 1.29/1.07 inference(transitivity,[status(thm)],[309, 311, 332, 321, 331, 330, 329, 326, 310, 70, 307, 305, 304, 88])).
% 1.29/1.07 tff(335,plain,
% 1.29/1.07 (multiply(sk_c3, sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[334])).
% 1.29/1.07 tff(336,plain,
% 1.29/1.07 (multiply(sk_c3, sk_c7) = sk_c6),
% 1.29/1.07 inference(transitivity,[status(thm)],[335, 307, 305, 304, 88, 303, 301, 299, 161])).
% 1.29/1.07 tff(337,plain,
% 1.29/1.07 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.07 inference(rewrite,[status(thm)],[])).
% 1.29/1.07 tff(338,plain,
% 1.29/1.07 (((~(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_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.07 inference(rewrite,[status(thm)],[])).
% 1.29/1.07 tff(339,plain,
% 1.29/1.07 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[338])).
% 1.29/1.07 tff(340,plain,
% 1.29/1.07 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.07 inference(transitivity,[status(thm)],[339, 337])).
% 1.29/1.07 tff(341,plain,
% 1.29/1.07 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(342,plain,
% 1.29/1.07 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.07 inference(modus_ponens,[status(thm)],[341, 340])).
% 1.29/1.07 tff(343,plain,
% 1.29/1.07 ((~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[342, 252, 88, 243])).
% 1.29/1.07 tff(344,plain,
% 1.29/1.07 ($false),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[343, 336, 333, 168, 308])).
% 1.29/1.07 tff(345,plain,(inverse(sk_c1) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 1.29/1.07 tff(346,plain,
% 1.29/1.07 (sk_c7 = inverse(sk_c1)),
% 1.29/1.07 inference(symmetry,[status(thm)],[345])).
% 1.29/1.07 tff(347,plain,
% 1.29/1.07 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[346])).
% 1.29/1.07 tff(348,plain,
% 1.29/1.07 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.29/1.07 inference(symmetry,[status(thm)],[347])).
% 1.29/1.07 tff(349,plain,
% 1.29/1.07 (identity = multiply(sk_c7, sk_c1)),
% 1.29/1.07 inference(transitivity,[status(thm)],[195, 348])).
% 1.29/1.07 tff(350,plain,
% 1.29/1.07 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[349])).
% 1.29/1.07 tff(351,plain,
% 1.29/1.07 (sk_c7 = sk_c6),
% 1.29/1.07 inference(transitivity,[status(thm)],[223, 350, 154, 152, 88, 147, 141, 138, 82])).
% 1.29/1.07 tff(352,plain,
% 1.29/1.07 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c6)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[351])).
% 1.29/1.07 tff(353,plain,
% 1.29/1.07 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[145])).
% 1.29/1.07 tff(354,plain,
% 1.29/1.07 ((~![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)))),
% 1.29/1.07 inference(quant_inst,[status(thm)],[])).
% 1.29/1.07 tff(355,plain,
% 1.29/1.07 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(unit_resolution,[status(thm)],[354, 63])).
% 1.29/1.07 tff(356,plain,
% 1.29/1.07 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 1.29/1.07 inference(symmetry,[status(thm)],[355])).
% 1.29/1.07 tff(357,plain,
% 1.29/1.07 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.29/1.07 inference(transitivity,[status(thm)],[356, 353, 352, 88, 147, 141, 138, 82])).
% 1.29/1.07 tff(358,plain,
% 1.29/1.07 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 1.29/1.07 inference(symmetry,[status(thm)],[350])).
% 1.29/1.07 tff(359,plain,
% 1.29/1.07 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.29/1.07 inference(symmetry,[status(thm)],[152])).
% 1.29/1.07 tff(360,plain,
% 1.29/1.07 (multiply(sk_c6, sk_c7) = sk_c7),
% 1.29/1.07 inference(transitivity,[status(thm)],[89, 359, 199, 358, 185])).
% 1.29/1.07 tff(361,plain,
% 1.29/1.07 (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c1, sk_c7)),
% 1.29/1.07 inference(monotonicity,[status(thm)],[360])).
% 1.29/1.07 tff(362,plain,
% 1.29/1.07 (sk_c6 = multiply(sk_c6, sk_c7)),
% 1.29/1.07 inference(transitivity,[status(thm)],[83, 137, 140, 146])).
% 1.29/1.07 tff(363,plain,
% 1.29/1.07 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[362])).
% 1.29/1.07 tff(364,plain,
% 1.29/1.07 (multiply(sk_c1, sk_c6) = sk_c7),
% 1.29/1.07 inference(transitivity,[status(thm)],[363, 361, 151, 83, 137, 140, 146, 89, 359, 199, 358, 185])).
% 1.29/1.07 tff(365,plain,
% 1.29/1.07 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.07 inference(rewrite,[status(thm)],[])).
% 1.29/1.07 tff(366,plain,
% 1.29/1.07 (((~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.07 inference(rewrite,[status(thm)],[])).
% 1.29/1.07 tff(367,plain,
% 1.29/1.07 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))))),
% 1.29/1.07 inference(monotonicity,[status(thm)],[366])).
% 1.29/1.07 tff(368,plain,
% 1.29/1.07 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.08 inference(transitivity,[status(thm)],[367, 365])).
% 1.29/1.08 tff(369,plain,
% 1.29/1.08 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.29/1.08 inference(quant_inst,[status(thm)],[])).
% 1.29/1.08 tff(370,plain,
% 1.29/1.08 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.08 inference(modus_ponens,[status(thm)],[369, 368])).
% 1.29/1.08 tff(371,plain,
% 1.29/1.08 ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.29/1.08 inference(unit_resolution,[status(thm)],[370, 88, 151, 345, 145, 129, 243])).
% 1.29/1.08 tff(372,plain,
% 1.29/1.08 ($false),
% 1.29/1.08 inference(unit_resolution,[status(thm)],[371, 364, 357])).
% 1.29/1.08 tff(373,plain,(multiply(sk_c3, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 1.29/1.08 tff(374,plain,
% 1.29/1.08 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 1.29/1.08 inference(monotonicity,[status(thm)],[373])).
% 1.29/1.08 tff(375,plain,
% 1.29/1.08 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 1.29/1.08 inference(symmetry,[status(thm)],[374])).
% 1.29/1.08 tff(376,plain,
% 1.29/1.08 (multiply(sk_c6, sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.29/1.08 inference(transitivity,[status(thm)],[89, 375, 124, 122])).
% 1.29/1.08 tff(377,plain,
% 1.29/1.08 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[376])).
% 1.29/1.08 tff(378,plain,
% 1.29/1.08 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c7))) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.29/1.08 inference(symmetry,[status(thm)],[377])).
% 1.29/1.08 tff(379,plain,
% 1.29/1.08 ((~![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_c7)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c7))))),
% 1.29/1.08 inference(quant_inst,[status(thm)],[])).
% 1.29/1.08 tff(380,plain,
% 1.29/1.08 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 1.29/1.08 inference(unit_resolution,[status(thm)],[379, 63])).
% 1.29/1.08 tff(381,plain,
% 1.29/1.08 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 1.29/1.08 inference(symmetry,[status(thm)],[106])).
% 1.29/1.08 tff(382,plain,
% 1.29/1.08 (identity = multiply(inverse(sk_c4), sk_c4)),
% 1.29/1.08 inference(symmetry,[status(thm)],[98])).
% 1.29/1.08 tff(383,plain,
% 1.29/1.08 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c4)),
% 1.29/1.08 inference(transitivity,[status(thm)],[254, 41, 382, 381])).
% 1.29/1.08 tff(384,plain,
% 1.29/1.08 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[383])).
% 1.29/1.08 tff(385,plain,
% 1.29/1.08 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c7))),
% 1.29/1.08 inference(symmetry,[status(thm)],[384])).
% 1.29/1.08 tff(386,plain,
% 1.29/1.08 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 1.29/1.08 inference(transitivity,[status(thm)],[119, 118, 385, 380, 378, 116, 94, 91])).
% 1.29/1.08 tff(387,plain,
% 1.29/1.08 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[386])).
% 1.29/1.08 tff(388,plain,
% 1.29/1.08 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6)) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 1.29/1.08 inference(symmetry,[status(thm)],[387])).
% 1.29/1.08 tff(389,plain,
% 1.29/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c6) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6)))),
% 1.29/1.08 inference(quant_inst,[status(thm)],[])).
% 1.29/1.08 tff(390,plain,
% 1.29/1.08 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c6) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6))),
% 1.29/1.08 inference(unit_resolution,[status(thm)],[389, 63])).
% 1.29/1.08 tff(391,plain,
% 1.29/1.08 (multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.29/1.08 inference(monotonicity,[status(thm)],[7])).
% 1.29/1.08 tff(392,plain,
% 1.29/1.08 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c6)),
% 1.29/1.08 inference(symmetry,[status(thm)],[391])).
% 1.29/1.08 tff(393,plain,
% 1.29/1.08 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.29/1.08 inference(transitivity,[status(thm)],[121, 305, 374, 88, 119, 118, 110, 117, 392, 390, 388, 7])).
% 1.29/1.08 tff(394,plain,
% 1.29/1.08 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6)) = multiply(multiply(sk_c4, multiply(sk_c6, sk_c7)), sk_c6)),
% 1.29/1.08 inference(symmetry,[status(thm)],[390])).
% 1.29/1.08 tff(395,plain,
% 1.29/1.08 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6)) = multiply(sk_c6, sk_c6)),
% 1.29/1.08 inference(transitivity,[status(thm)],[394, 391])).
% 1.29/1.08 tff(396,plain,
% 1.29/1.08 (multiply(sk_c3, multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6))) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[395])).
% 1.29/1.08 tff(397,plain,
% 1.29/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c6, sk_c7), sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6))))),
% 1.29/1.08 inference(quant_inst,[status(thm)],[])).
% 1.29/1.08 tff(398,plain,
% 1.29/1.08 (multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c6, sk_c7), sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(multiply(sk_c6, sk_c7), sk_c6)))),
% 1.29/1.08 inference(unit_resolution,[status(thm)],[397, 63])).
% 1.29/1.08 tff(399,plain,
% 1.29/1.08 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c6, sk_c7), sk_c6))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[386])).
% 1.29/1.08 tff(400,plain,
% 1.29/1.08 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[112])).
% 1.29/1.08 tff(401,plain,
% 1.29/1.08 (sk_c7 = multiply(sk_c3, sk_c6)),
% 1.29/1.08 inference(symmetry,[status(thm)],[373])).
% 1.29/1.08 tff(402,plain,
% 1.29/1.08 (inverse(sk_c3) = sk_c6),
% 1.29/1.08 inference(transitivity,[status(thm)],[252, 401, 400, 332, 399, 398, 396, 305, 374, 88, 119, 118, 110, 117, 392, 390, 388, 7])).
% 1.29/1.08 tff(403,plain,
% 1.29/1.08 (sk_c7 = multiply(sk_c6, sk_c7)),
% 1.29/1.08 inference(transitivity,[status(thm)],[401, 400, 332, 399, 398, 396, 305, 374, 88])).
% 1.29/1.08 tff(404,plain,
% 1.29/1.08 (multiply(sk_c3, sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[403])).
% 1.29/1.08 tff(405,plain,
% 1.29/1.08 (multiply(sk_c3, sk_c7) = sk_c6),
% 1.29/1.08 inference(transitivity,[status(thm)],[404, 121, 305, 374, 88, 119, 118, 110, 117, 392, 390, 388, 7])).
% 1.29/1.08 tff(406,plain,
% 1.29/1.08 ($false),
% 1.29/1.08 inference(unit_resolution,[status(thm)],[343, 405, 402, 373, 393])).
% 1.29/1.08 tff(407,plain,(multiply(sk_c1, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 1.29/1.08 tff(408,plain,
% 1.29/1.08 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.29/1.08 inference(monotonicity,[status(thm)],[407])).
% 1.29/1.08 tff(409,plain,
% 1.29/1.08 (sk_c7 = multiply(sk_c6, sk_c7)),
% 1.29/1.08 inference(transitivity,[status(thm)],[223, 350, 154, 408, 88])).
% 1.29/1.08 tff(410,plain,
% 1.29/1.08 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 1.29/1.08 inference(monotonicity,[status(thm)],[409])).
% 1.29/1.08 tff(411,plain,
% 1.33/1.08 (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c1, sk_c7)),
% 1.33/1.08 inference(symmetry,[status(thm)],[410])).
% 1.33/1.08 tff(412,plain,
% 1.33/1.08 (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[89])).
% 1.33/1.08 tff(413,plain,
% 1.33/1.08 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 1.33/1.08 inference(symmetry,[status(thm)],[412])).
% 1.33/1.08 tff(414,plain,
% 1.33/1.08 ((~![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)))),
% 1.33/1.08 inference(quant_inst,[status(thm)],[])).
% 1.33/1.08 tff(415,plain,
% 1.33/1.08 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[414, 63])).
% 1.33/1.08 tff(416,plain,
% 1.33/1.08 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[407])).
% 1.33/1.08 tff(417,plain,
% 1.33/1.08 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 1.33/1.08 inference(symmetry,[status(thm)],[416])).
% 1.33/1.08 tff(418,plain,
% 1.33/1.08 (sk_c6 = multiply(sk_c1, sk_c7)),
% 1.33/1.08 inference(symmetry,[status(thm)],[407])).
% 1.33/1.08 tff(419,plain,
% 1.33/1.08 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[418])).
% 1.33/1.08 tff(420,plain,
% 1.33/1.08 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c6)),
% 1.33/1.08 inference(symmetry,[status(thm)],[419])).
% 1.33/1.08 tff(421,plain,
% 1.33/1.08 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 1.33/1.08 inference(quant_inst,[status(thm)],[])).
% 1.33/1.08 tff(422,plain,
% 1.33/1.08 (multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[421, 30])).
% 1.33/1.08 tff(423,plain,
% 1.33/1.08 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 1.33/1.08 inference(symmetry,[status(thm)],[415])).
% 1.33/1.08 tff(424,plain,
% 1.33/1.08 (sk_c6 = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.33/1.08 inference(transitivity,[status(thm)],[418, 410, 412, 423, 416, 419])).
% 1.33/1.08 tff(425,plain,
% 1.33/1.08 (multiply(sk_c7, sk_c3) = identity),
% 1.33/1.08 inference(transitivity,[status(thm)],[254, 41])).
% 1.33/1.08 tff(426,plain,
% 1.33/1.08 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[425, 424])).
% 1.33/1.08 tff(427,plain,
% 1.33/1.08 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.33/1.08 inference(symmetry,[status(thm)],[78])).
% 1.33/1.08 tff(428,plain,
% 1.33/1.08 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[401])).
% 1.33/1.08 tff(429,plain,
% 1.33/1.08 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.33/1.08 inference(symmetry,[status(thm)],[408])).
% 1.33/1.08 tff(430,plain,
% 1.33/1.08 (multiply(sk_c6, sk_c7) = sk_c7),
% 1.33/1.08 inference(transitivity,[status(thm)],[89, 429, 199, 358, 185])).
% 1.33/1.08 tff(431,plain,
% 1.33/1.08 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[418])).
% 1.33/1.08 tff(432,plain,
% 1.33/1.08 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 1.33/1.08 inference(symmetry,[status(thm)],[431])).
% 1.33/1.08 tff(433,plain,
% 1.33/1.08 (sk_c7 = multiply(sk_c6, sk_c7)),
% 1.33/1.08 inference(transitivity,[status(thm)],[223, 350, 154, 432, 88])).
% 1.33/1.08 tff(434,plain,
% 1.33/1.08 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[433])).
% 1.33/1.08 tff(435,plain,
% 1.33/1.08 (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(sk_c1, sk_c7)),
% 1.33/1.08 inference(symmetry,[status(thm)],[434])).
% 1.33/1.08 tff(436,assumption,(multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6), introduced(assumption)).
% 1.33/1.08 tff(437,plain,
% 1.33/1.08 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = sk_c6),
% 1.33/1.08 inference(transitivity,[status(thm)],[420, 417, 415, 413, 435, 407])).
% 1.33/1.08 tff(438,plain,
% 1.33/1.08 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c6, sk_c7))) = multiply(sk_c6, sk_c6)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[437, 436])).
% 1.33/1.08 tff(439,plain,
% 1.33/1.08 ((~![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)), sk_c4), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c6, sk_c7))))),
% 1.33/1.08 inference(quant_inst,[status(thm)],[])).
% 1.33/1.08 tff(440,plain,
% 1.33/1.08 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c4), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[439, 63])).
% 1.33/1.08 tff(441,plain,
% 1.33/1.08 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = sk_c6),
% 1.33/1.08 inference(transitivity,[status(thm)],[420, 417, 415, 413, 411, 407])).
% 1.33/1.08 tff(442,plain,
% 1.33/1.08 (multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[257, 441])).
% 1.33/1.08 tff(443,plain,
% 1.33/1.08 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 1.33/1.08 inference(symmetry,[status(thm)],[442])).
% 1.33/1.08 tff(444,assumption,(~(inverse(sk_c4) = sk_c6)), introduced(assumption)).
% 1.33/1.08 tff(445,plain,
% 1.33/1.08 (((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6))),
% 1.33/1.08 inference(rewrite,[status(thm)],[])).
% 1.33/1.08 tff(446,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 1.33/1.08 tff(447,plain,
% 1.33/1.08 ((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)),
% 1.33/1.08 inference(modus_ponens,[status(thm)],[446, 445])).
% 1.33/1.08 tff(448,plain,
% 1.33/1.08 (inverse(sk_c2) = sk_c6),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[447, 444])).
% 1.33/1.08 tff(449,plain,
% 1.33/1.08 (sk_c6 = inverse(sk_c2)),
% 1.33/1.08 inference(symmetry,[status(thm)],[448])).
% 1.33/1.08 tff(450,plain,
% 1.33/1.08 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = inverse(sk_c2)),
% 1.33/1.08 inference(transitivity,[status(thm)],[420, 417, 415, 413, 411, 407, 449])).
% 1.33/1.08 tff(451,plain,
% 1.33/1.08 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[450])).
% 1.33/1.08 tff(452,plain,
% 1.33/1.08 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c2)),
% 1.33/1.08 inference(symmetry,[status(thm)],[451])).
% 1.33/1.08 tff(453,plain,
% 1.33/1.08 (multiply(sk_c7, sk_c3) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c2)),
% 1.33/1.08 inference(transitivity,[status(thm)],[254, 41, 135, 452])).
% 1.33/1.08 tff(454,plain,
% 1.33/1.08 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c2), multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[453, 424])).
% 1.33/1.08 tff(455,plain,
% 1.33/1.08 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c2), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 1.33/1.08 inference(symmetry,[status(thm)],[454])).
% 1.33/1.08 tff(456,plain,
% 1.33/1.08 ((~![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)), sk_c2), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7)))))),
% 1.33/1.08 inference(quant_inst,[status(thm)],[])).
% 1.33/1.08 tff(457,plain,
% 1.33/1.08 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c2), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))))),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[456, 63])).
% 1.33/1.08 tff(458,plain,
% 1.33/1.08 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c2), multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 1.33/1.08 inference(symmetry,[status(thm)],[457])).
% 1.33/1.08 tff(459,plain,
% 1.33/1.08 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c7)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c7))),
% 1.33/1.08 inference(rewrite,[status(thm)],[])).
% 1.33/1.08 tff(460,plain,
% 1.33/1.08 (((multiply(sk_c2, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c7))),
% 1.33/1.08 inference(rewrite,[status(thm)],[])).
% 1.33/1.08 tff(461,axiom,((multiply(sk_c2, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 1.33/1.08 tff(462,plain,
% 1.33/1.08 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c7)),
% 1.33/1.08 inference(modus_ponens,[status(thm)],[461, 460])).
% 1.33/1.08 tff(463,plain,
% 1.33/1.08 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c7)),
% 1.33/1.08 inference(modus_ponens,[status(thm)],[462, 459])).
% 1.33/1.08 tff(464,plain,
% 1.33/1.08 (multiply(sk_c2, sk_c6) = sk_c7),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[463, 444])).
% 1.33/1.08 tff(465,plain,
% 1.33/1.08 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c2, sk_c6)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[441])).
% 1.33/1.08 tff(466,plain,
% 1.33/1.08 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c7),
% 1.33/1.08 inference(transitivity,[status(thm)],[465, 464])).
% 1.33/1.08 tff(467,plain,
% 1.33/1.08 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7)))) = multiply(sk_c6, sk_c7)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[441, 466])).
% 1.33/1.08 tff(468,plain,
% 1.33/1.08 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))))),
% 1.33/1.08 inference(symmetry,[status(thm)],[467])).
% 1.33/1.08 tff(469,plain,
% 1.33/1.08 (inverse(sk_c3) = sk_c6),
% 1.33/1.08 inference(transitivity,[status(thm)],[252, 223, 350, 154, 408, 88, 468, 458, 455, 443, 422, 420, 417, 415, 413, 411, 407])).
% 1.33/1.08 tff(470,plain,
% 1.33/1.08 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[373])).
% 1.33/1.08 tff(471,plain,
% 1.33/1.08 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 1.33/1.08 inference(symmetry,[status(thm)],[70])).
% 1.33/1.08 tff(472,plain,
% 1.33/1.08 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.33/1.08 inference(transitivity,[status(thm)],[471, 470, 428, 427, 443, 422, 420, 417, 415, 413, 411, 407])).
% 1.33/1.08 tff(473,plain,
% 1.33/1.08 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))),
% 1.33/1.08 inference(rewrite,[status(thm)],[])).
% 1.33/1.08 tff(474,plain,
% 1.33/1.08 (((~(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_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))),
% 1.33/1.08 inference(rewrite,[status(thm)],[])).
% 1.33/1.08 tff(475,plain,
% 1.33/1.08 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6))))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[474])).
% 1.33/1.08 tff(476,plain,
% 1.33/1.08 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))),
% 1.33/1.08 inference(transitivity,[status(thm)],[475, 473])).
% 1.33/1.08 tff(477,plain,
% 1.33/1.08 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = 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_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.33/1.08 inference(quant_inst,[status(thm)],[])).
% 1.33/1.08 tff(478,plain,
% 1.33/1.08 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6))),
% 1.33/1.08 inference(modus_ponens,[status(thm)],[477, 476])).
% 1.33/1.08 tff(479,plain,
% 1.33/1.08 ((~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c6))),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[478, 252, 88, 345, 243])).
% 1.33/1.08 tff(480,plain,
% 1.33/1.08 (~(inverse(sk_c3) = sk_c6)),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[479, 472, 373, 407])).
% 1.33/1.08 tff(481,plain,
% 1.33/1.08 ($false),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[480, 469])).
% 1.33/1.08 tff(482,plain,(inverse(sk_c4) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 1.33/1.08 tff(483,plain,
% 1.33/1.08 (sk_c6 = inverse(sk_c4)),
% 1.33/1.08 inference(symmetry,[status(thm)],[482])).
% 1.33/1.08 tff(484,plain,
% 1.33/1.08 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = inverse(sk_c4)),
% 1.33/1.08 inference(transitivity,[status(thm)],[420, 417, 415, 413, 435, 407, 483])).
% 1.33/1.08 tff(485,plain,
% 1.33/1.08 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[484])).
% 1.33/1.08 tff(486,plain,
% 1.33/1.08 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c4)),
% 1.33/1.08 inference(symmetry,[status(thm)],[485])).
% 1.33/1.08 tff(487,plain,
% 1.33/1.08 (multiply(sk_c7, sk_c1) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c4)),
% 1.33/1.08 inference(transitivity,[status(thm)],[347, 194, 382, 486])).
% 1.33/1.08 tff(488,plain,
% 1.33/1.08 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c4), multiply(sk_c6, sk_c7))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[487, 433])).
% 1.33/1.08 tff(489,plain,
% 1.33/1.08 (inverse(sk_c3) = sk_c6),
% 1.33/1.08 inference(transitivity,[status(thm)],[252, 223, 350, 488, 440, 438, 417, 415, 413, 435, 407])).
% 1.33/1.08 tff(490,plain,
% 1.33/1.08 (sk_c6 = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.33/1.08 inference(transitivity,[status(thm)],[418, 434, 412, 423, 416, 419])).
% 1.33/1.08 tff(491,plain,
% 1.33/1.08 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 1.33/1.08 inference(monotonicity,[status(thm)],[425, 490])).
% 1.33/1.08 tff(492,plain,
% 1.33/1.08 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.33/1.08 inference(transitivity,[status(thm)],[471, 470, 428, 427, 491, 422, 420, 417, 415, 413, 435, 407])).
% 1.33/1.08 tff(493,plain,
% 1.33/1.08 (~(inverse(sk_c3) = sk_c6)),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[479, 492, 373, 407])).
% 1.33/1.08 tff(494,plain,
% 1.33/1.08 ($false),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[493, 489])).
% 1.33/1.08 tff(495,plain,(~(multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6)), inference(lemma,lemma(discharge,[]))).
% 1.33/1.08 tff(496,plain,
% 1.33/1.08 (((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.33/1.08 inference(rewrite,[status(thm)],[])).
% 1.33/1.08 tff(497,plain,
% 1.33/1.08 (((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.33/1.08 inference(rewrite,[status(thm)],[])).
% 1.33/1.08 tff(498,axiom,((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 1.33/1.08 tff(499,plain,
% 1.33/1.08 ((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.33/1.08 inference(modus_ponens,[status(thm)],[498, 497])).
% 1.33/1.08 tff(500,plain,
% 1.33/1.08 ((multiply(sk_c2, sk_c6) = sk_c7) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6)),
% 1.33/1.08 inference(modus_ponens,[status(thm)],[499, 496])).
% 1.33/1.08 tff(501,plain,
% 1.33/1.08 (multiply(sk_c2, sk_c6) = sk_c7),
% 1.33/1.08 inference(unit_resolution,[status(thm)],[500, 495])).
% 1.33/1.08 tff(502,plain,
% 1.33/1.08 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c7),
% 1.33/1.08 inference(transitivity,[status(thm)],[465, 501])).
% 1.33/1.08 tff(503,plain,
% 1.33/1.08 (multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c7)),
% 1.33/1.08 inference(monotonicity,[status(thm)],[502, 430])).
% 1.33/1.08 tff(504,plain,
% 1.33/1.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c6, sk_c7)) = multiply(sk_c2, multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7))))),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(505,plain,
% 1.33/1.09 (multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c6, sk_c7)) = multiply(sk_c2, multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)))),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[504, 63])).
% 1.33/1.09 tff(506,plain,
% 1.33/1.09 (multiply(sk_c2, multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7))) = multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c6, sk_c7))),
% 1.33/1.09 inference(symmetry,[status(thm)],[505])).
% 1.33/1.09 tff(507,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)) = multiply(sk_c6, sk_c7)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[441, 430])).
% 1.33/1.09 tff(508,plain,
% 1.33/1.09 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7))),
% 1.33/1.09 inference(symmetry,[status(thm)],[507])).
% 1.33/1.09 tff(509,plain,
% 1.33/1.09 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(sk_c2, multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)))),
% 1.33/1.09 inference(monotonicity,[status(thm)],[508])).
% 1.33/1.09 tff(510,plain,
% 1.33/1.09 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6),
% 1.33/1.09 inference(transitivity,[status(thm)],[509, 506, 503, 428, 427, 426, 422, 420, 417, 415, 413, 411, 407])).
% 1.33/1.09 tff(511,plain,
% 1.33/1.09 ((~![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)))),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(512,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[511, 63])).
% 1.33/1.09 tff(513,plain,
% 1.33/1.09 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[418])).
% 1.33/1.09 tff(514,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c6, sk_c1)),
% 1.33/1.09 inference(symmetry,[status(thm)],[513])).
% 1.33/1.09 tff(515,plain,
% 1.33/1.09 ((~![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)))),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(516,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[515, 63])).
% 1.33/1.09 tff(517,plain,
% 1.33/1.09 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 1.33/1.09 inference(symmetry,[status(thm)],[516])).
% 1.33/1.09 tff(518,plain,
% 1.33/1.09 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c6, sk_c1)),
% 1.33/1.09 inference(transitivity,[status(thm)],[517, 514])).
% 1.33/1.09 tff(519,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = multiply(multiply(sk_c6, sk_c1), sk_c7)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[518])).
% 1.33/1.09 tff(520,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6),
% 1.33/1.09 inference(transitivity,[status(thm)],[519, 512, 420, 417, 415, 413, 411, 407])).
% 1.33/1.09 tff(521,plain,
% 1.33/1.09 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(522,plain,
% 1.33/1.09 (multiply(identity, sk_c3) = sk_c3),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[521, 30])).
% 1.33/1.09 tff(523,plain,
% 1.33/1.09 (multiply(sk_c6, sk_c7) = inverse(sk_c1)),
% 1.33/1.09 inference(transitivity,[status(thm)],[89, 429, 199, 358, 185, 346])).
% 1.33/1.09 tff(524,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[523])).
% 1.33/1.09 tff(525,plain,
% 1.33/1.09 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 1.33/1.09 inference(symmetry,[status(thm)],[524])).
% 1.33/1.09 tff(526,plain,
% 1.33/1.09 (identity = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 1.33/1.09 inference(transitivity,[status(thm)],[195, 525])).
% 1.33/1.09 tff(527,plain,
% 1.33/1.09 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c7), sk_c1), sk_c3)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[526])).
% 1.33/1.09 tff(528,plain,
% 1.33/1.09 (multiply(multiply(multiply(sk_c6, sk_c7), sk_c1), sk_c3) = multiply(identity, sk_c3)),
% 1.33/1.09 inference(symmetry,[status(thm)],[527])).
% 1.33/1.09 tff(529,plain,
% 1.33/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c7), sk_c1), sk_c3) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3)))),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(530,plain,
% 1.33/1.09 (multiply(multiply(multiply(sk_c6, sk_c7), sk_c1), sk_c3) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3))),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[529, 63])).
% 1.33/1.09 tff(531,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3)) = multiply(multiply(multiply(sk_c6, sk_c7), sk_c1), sk_c3)),
% 1.33/1.09 inference(symmetry,[status(thm)],[530])).
% 1.33/1.09 tff(532,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3)) = multiply(sk_c7, multiply(sk_c1, sk_c3))),
% 1.33/1.09 inference(monotonicity,[status(thm)],[430])).
% 1.33/1.09 tff(533,plain,
% 1.33/1.09 (multiply(sk_c7, multiply(sk_c1, sk_c3)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3))),
% 1.33/1.09 inference(symmetry,[status(thm)],[532])).
% 1.33/1.09 tff(534,plain,
% 1.33/1.09 (sk_c7 = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7))),
% 1.33/1.09 inference(transitivity,[status(thm)],[223, 350, 154, 408, 88, 508])).
% 1.33/1.09 tff(535,plain,
% 1.33/1.09 (multiply(sk_c7, multiply(sk_c1, sk_c3)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)), multiply(sk_c1, sk_c3))),
% 1.33/1.09 inference(monotonicity,[status(thm)],[534])).
% 1.33/1.09 tff(536,plain,
% 1.33/1.09 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)), multiply(sk_c1, sk_c3)) = multiply(sk_c7, multiply(sk_c1, sk_c3))),
% 1.33/1.09 inference(symmetry,[status(thm)],[535])).
% 1.33/1.09 tff(537,plain,
% 1.33/1.09 ((~![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, sk_c7)), multiply(sk_c1, sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3))))),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(538,plain,
% 1.33/1.09 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)), multiply(sk_c1, sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3)))),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[537, 63])).
% 1.33/1.09 tff(539,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, sk_c7)), multiply(sk_c1, sk_c3))),
% 1.33/1.09 inference(symmetry,[status(thm)],[538])).
% 1.33/1.09 tff(540,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3)) = sk_c3),
% 1.33/1.09 inference(transitivity,[status(thm)],[531, 528, 522])).
% 1.33/1.09 tff(541,plain,
% 1.33/1.09 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3))) = multiply(sk_c6, sk_c3)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[441, 540])).
% 1.33/1.09 tff(542,plain,
% 1.33/1.09 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, sk_c7), multiply(sk_c1, sk_c3)))),
% 1.33/1.09 inference(symmetry,[status(thm)],[541])).
% 1.33/1.09 tff(543,plain,
% 1.33/1.09 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c1, sk_c7), sk_c3)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[418])).
% 1.33/1.09 tff(544,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 1.33/1.09 inference(symmetry,[status(thm)],[543])).
% 1.33/1.09 tff(545,plain,
% 1.33/1.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c3) = multiply(sk_c1, multiply(sk_c7, sk_c3)))),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(546,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, sk_c7), sk_c3) = multiply(sk_c1, multiply(sk_c7, sk_c3))),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[545, 63])).
% 1.33/1.09 tff(547,plain,
% 1.33/1.09 (multiply(sk_c1, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c1, sk_c7), sk_c3)),
% 1.33/1.09 inference(symmetry,[status(thm)],[546])).
% 1.33/1.09 tff(548,plain,
% 1.33/1.09 (multiply(sk_c7, sk_c3) = multiply(sk_c7, sk_c1)),
% 1.33/1.09 inference(transitivity,[status(thm)],[254, 41, 195, 348])).
% 1.33/1.09 tff(549,plain,
% 1.33/1.09 (multiply(sk_c1, multiply(sk_c7, sk_c3)) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 1.33/1.09 inference(monotonicity,[status(thm)],[548])).
% 1.33/1.09 tff(550,plain,
% 1.33/1.09 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c3))),
% 1.33/1.09 inference(symmetry,[status(thm)],[549])).
% 1.33/1.09 tff(551,plain,
% 1.33/1.09 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = sk_c3),
% 1.33/1.09 inference(transitivity,[status(thm)],[550, 547, 544, 542, 539, 536, 533, 531, 528, 522])).
% 1.33/1.09 tff(552,plain,
% 1.33/1.09 (inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = inverse(sk_c3)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[551])).
% 1.33/1.09 tff(553,plain,
% 1.33/1.09 (inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7),
% 1.33/1.09 inference(transitivity,[status(thm)],[552, 252])).
% 1.33/1.09 tff(554,plain,
% 1.33/1.09 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[373])).
% 1.33/1.09 tff(555,plain,
% 1.33/1.09 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c6, sk_c3)),
% 1.33/1.09 inference(transitivity,[status(thm)],[550, 547, 544])).
% 1.33/1.09 tff(556,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 1.33/1.09 inference(monotonicity,[status(thm)],[555])).
% 1.33/1.09 tff(557,plain,
% 1.33/1.09 (multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7),
% 1.33/1.09 inference(transitivity,[status(thm)],[556, 163, 554, 89, 429, 199, 358, 185])).
% 1.33/1.09 tff(558,plain,
% 1.33/1.09 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6))),
% 1.33/1.09 inference(rewrite,[status(thm)],[])).
% 1.33/1.09 tff(559,plain,
% 1.33/1.09 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 1.33/1.09 inference(rewrite,[status(thm)],[])).
% 1.33/1.09 tff(560,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 1.33/1.09 tff(561,plain,
% 1.33/1.09 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 1.33/1.09 inference(modus_ponens,[status(thm)],[560, 559])).
% 1.33/1.09 tff(562,plain,
% 1.33/1.09 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, multiply(sk_c6, sk_c7)) = sk_c6)),
% 1.33/1.09 inference(modus_ponens,[status(thm)],[561, 558])).
% 1.33/1.09 tff(563,plain,
% 1.33/1.09 (inverse(sk_c2) = sk_c6),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[562, 495])).
% 1.33/1.09 tff(564,plain,
% 1.33/1.09 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)))),
% 1.33/1.09 inference(rewrite,[status(thm)],[])).
% 1.33/1.09 tff(565,plain,
% 1.33/1.09 (((~(inverse(sk_c2) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)))),
% 1.33/1.09 inference(rewrite,[status(thm)],[])).
% 1.33/1.09 tff(566,plain,
% 1.33/1.09 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c2) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6))))),
% 1.33/1.09 inference(monotonicity,[status(thm)],[565])).
% 1.33/1.09 tff(567,plain,
% 1.33/1.09 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c2) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)))),
% 1.33/1.09 inference(transitivity,[status(thm)],[566, 564])).
% 1.33/1.09 tff(568,plain,
% 1.33/1.09 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | ((~(inverse(sk_c2) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)))),
% 1.33/1.09 inference(quant_inst,[status(thm)],[])).
% 1.33/1.09 tff(569,plain,
% 1.33/1.09 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(multiply(X2, multiply(sk_c6, sk_c7)) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7))) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c7, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c7, sk_c1)), sk_c7) = sk_c6))),
% 1.33/1.09 inference(modus_ponens,[status(thm)],[568, 567])).
% 1.33/1.09 tff(570,plain,
% 1.33/1.09 (~(multiply(sk_c2, multiply(sk_c6, sk_c7)) = sk_c6)),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[569, 88, 501, 563, 243, 557, 553, 520])).
% 1.33/1.09 tff(571,plain,
% 1.33/1.09 ($false),
% 1.33/1.09 inference(unit_resolution,[status(thm)],[570, 510])).
% 1.33/1.09 % SZS output end Proof
%------------------------------------------------------------------------------