TSTP Solution File: GRP234-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP234-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 22:26:52 EDT 2022
% Result : Unsatisfiable 66.66s 42.72s
% Output : Proof 66.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP234-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 15:54:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 66.66/42.72 % SZS status Unsatisfiable
% 66.66/42.72 % SZS output start Proof
% 66.66/42.72 tff(sk_c7_type, type, (
% 66.66/42.72 sk_c7: $i)).
% 66.66/42.72 tff(multiply_type, type, (
% 66.66/42.72 multiply: ( $i * $i ) > $i)).
% 66.66/42.72 tff(sk_c6_type, type, (
% 66.66/42.72 sk_c6: $i)).
% 66.66/42.72 tff(sk_c2_type, type, (
% 66.66/42.72 sk_c2: $i)).
% 66.66/42.72 tff(sk_c3_type, type, (
% 66.66/42.72 sk_c3: $i)).
% 66.66/42.72 tff(identity_type, type, (
% 66.66/42.72 identity: $i)).
% 66.66/42.72 tff(inverse_type, type, (
% 66.66/42.72 inverse: $i > $i)).
% 66.66/42.72 tff(sk_c5_type, type, (
% 66.66/42.72 sk_c5: $i)).
% 66.66/42.72 tff(sk_c4_type, type, (
% 66.66/42.72 sk_c4: $i)).
% 66.66/42.72 tff(sk_c1_type, type, (
% 66.66/42.72 sk_c1: $i)).
% 66.66/42.72 tff(1,plain,
% 66.66/42.72 (^[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))))),
% 66.66/42.72 inference(bind,[status(th)],[])).
% 66.66/42.72 tff(2,plain,
% 66.66/42.72 (![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)))),
% 66.66/42.72 inference(quant_intro,[status(thm)],[1])).
% 66.66/42.72 tff(3,plain,
% 66.66/42.72 (![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)))),
% 66.66/42.72 inference(rewrite,[status(thm)],[])).
% 66.66/42.72 tff(4,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')).
% 66.66/42.72 tff(5,plain,
% 66.66/42.72 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[4, 3])).
% 66.66/42.72 tff(6,plain,(
% 66.66/42.72 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 66.66/42.72 inference(skolemize,[status(sab)],[5])).
% 66.66/42.72 tff(7,plain,
% 66.66/42.72 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[6, 2])).
% 66.66/42.72 tff(8,plain,
% 66.66/42.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.66/42.72 inference(quant_inst,[status(thm)],[])).
% 66.66/42.72 tff(9,plain,
% 66.66/42.72 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[8, 7])).
% 66.66/42.72 tff(10,plain,
% 66.66/42.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.66/42.72 inference(quant_inst,[status(thm)],[])).
% 66.66/42.72 tff(11,plain,
% 66.66/42.72 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[10, 7])).
% 66.66/42.72 tff(12,plain,
% 66.66/42.72 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 66.66/42.72 inference(bind,[status(th)],[])).
% 66.66/42.72 tff(13,plain,
% 66.66/42.72 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 66.66/42.72 inference(quant_intro,[status(thm)],[12])).
% 66.66/42.72 tff(14,plain,
% 66.66/42.72 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 66.66/42.72 inference(rewrite,[status(thm)],[])).
% 66.66/42.72 tff(15,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 66.66/42.72 tff(16,plain,
% 66.66/42.72 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[15, 14])).
% 66.66/42.72 tff(17,plain,(
% 66.66/42.72 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 66.66/42.72 inference(skolemize,[status(sab)],[16])).
% 66.66/42.72 tff(18,plain,
% 66.66/42.72 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[17, 13])).
% 66.66/42.72 tff(19,plain,
% 66.66/42.72 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 66.66/42.72 inference(quant_inst,[status(thm)],[])).
% 66.66/42.72 tff(20,plain,
% 66.66/42.72 (multiply(inverse(sk_c7), sk_c7) = identity),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[19, 18])).
% 66.66/42.72 tff(21,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 66.66/42.72 tff(22,plain,
% 66.66/42.72 (((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7))),
% 66.66/42.72 inference(rewrite,[status(thm)],[])).
% 66.66/42.72 tff(23,axiom,((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 66.66/42.72 tff(24,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[23, 22])).
% 66.66/42.72 tff(25,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[24, 22])).
% 66.66/42.72 tff(26,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[25, 22])).
% 66.66/42.72 tff(27,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[26, 22])).
% 66.66/42.72 tff(28,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[27, 22])).
% 66.66/42.72 tff(29,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[28, 22])).
% 66.66/42.72 tff(30,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[29, 22])).
% 66.66/42.72 tff(31,plain,
% 66.66/42.72 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[30, 22])).
% 66.66/42.72 tff(32,plain,
% 66.66/42.72 (inverse(sk_c7) = sk_c6),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[31, 21])).
% 66.66/42.72 tff(33,plain,
% 66.66/42.72 (sk_c6 = inverse(sk_c7)),
% 66.66/42.72 inference(symmetry,[status(thm)],[32])).
% 66.66/42.72 tff(34,plain,
% 66.66/42.72 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 66.66/42.72 inference(bind,[status(th)],[])).
% 66.66/42.72 tff(35,plain,
% 66.66/42.72 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 66.66/42.72 inference(quant_intro,[status(thm)],[34])).
% 66.66/42.72 tff(36,plain,
% 66.66/42.72 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 66.66/42.72 inference(rewrite,[status(thm)],[])).
% 66.66/42.72 tff(37,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 66.66/42.72 tff(38,plain,
% 66.66/42.72 (![X: $i] : (multiply(identity, X) = X)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[37, 36])).
% 66.66/42.72 tff(39,plain,(
% 66.66/42.72 ![X: $i] : (multiply(identity, X) = X)),
% 66.66/42.72 inference(skolemize,[status(sab)],[38])).
% 66.66/42.72 tff(40,plain,
% 66.66/42.72 (![X: $i] : (multiply(identity, X) = X)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[39, 35])).
% 66.66/42.72 tff(41,plain,
% 66.66/42.72 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 66.66/42.72 inference(quant_inst,[status(thm)],[])).
% 66.66/42.72 tff(42,plain,
% 66.66/42.72 (multiply(identity, sk_c6) = sk_c6),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[41, 40])).
% 66.66/42.72 tff(43,plain,
% 66.66/42.72 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 66.66/42.72 inference(monotonicity,[status(thm)],[33])).
% 66.66/42.72 tff(44,plain,
% 66.66/42.72 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 66.66/42.72 inference(symmetry,[status(thm)],[43])).
% 66.66/42.72 tff(45,plain,
% 66.66/42.72 (identity = multiply(inverse(sk_c7), sk_c7)),
% 66.66/42.72 inference(symmetry,[status(thm)],[20])).
% 66.66/42.72 tff(46,plain,
% 66.66/42.72 (identity = multiply(sk_c6, sk_c7)),
% 66.66/42.72 inference(transitivity,[status(thm)],[45, 44])).
% 66.66/42.72 tff(47,plain,
% 66.66/42.72 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 66.66/42.72 inference(monotonicity,[status(thm)],[46])).
% 66.66/42.72 tff(48,plain,
% 66.66/42.72 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(identity, sk_c6)),
% 66.66/42.72 inference(symmetry,[status(thm)],[47])).
% 66.66/42.72 tff(49,plain,
% 66.66/42.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6)))),
% 66.66/42.72 inference(quant_inst,[status(thm)],[])).
% 66.66/42.72 tff(50,plain,
% 66.66/42.72 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[49, 7])).
% 66.66/42.72 tff(51,plain,
% 66.66/42.72 (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 66.66/42.72 inference(symmetry,[status(thm)],[50])).
% 66.66/42.72 tff(52,plain,
% 66.66/42.72 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 66.66/42.72 inference(rewrite,[status(thm)],[])).
% 66.66/42.72 tff(53,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 66.66/42.72 tff(54,plain,
% 66.66/42.72 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[53, 52])).
% 66.66/42.72 tff(55,plain,
% 66.66/42.72 (inverse(sk_c2) = sk_c7),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[54, 21])).
% 66.66/42.72 tff(56,plain,
% 66.66/42.72 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 66.66/42.72 inference(rewrite,[status(thm)],[])).
% 66.66/42.72 tff(57,plain,
% 66.66/42.72 (((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 66.66/42.72 inference(rewrite,[status(thm)],[])).
% 66.66/42.72 tff(58,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 66.66/42.72 tff(59,plain,
% 66.66/42.72 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[58, 57])).
% 66.66/42.72 tff(60,plain,
% 66.66/42.72 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 66.66/42.72 inference(modus_ponens,[status(thm)],[59, 56])).
% 66.66/42.72 tff(61,plain,
% 66.66/42.72 (multiply(sk_c2, sk_c7) = sk_c6),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[60, 21])).
% 66.66/42.72 tff(62,plain,
% 66.66/42.72 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 66.66/42.72 inference(quant_inst,[status(thm)],[])).
% 66.66/42.72 tff(63,plain,
% 66.66/42.72 (multiply(identity, sk_c7) = sk_c7),
% 66.66/42.72 inference(unit_resolution,[status(thm)],[62, 40])).
% 66.66/42.72 tff(64,assumption,(inverse(sk_c2) = sk_c7), introduced(assumption)).
% 66.66/42.72 tff(65,plain,
% 66.66/42.72 (sk_c7 = inverse(sk_c2)),
% 66.66/42.72 inference(symmetry,[status(thm)],[64])).
% 66.66/42.72 tff(66,plain,
% 66.66/42.72 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 66.66/42.72 inference(monotonicity,[status(thm)],[65])).
% 66.66/42.72 tff(67,plain,
% 66.66/42.72 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 66.66/42.72 inference(symmetry,[status(thm)],[66])).
% 66.66/42.72 tff(68,plain,
% 66.66/42.72 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 66.66/42.73 inference(quant_inst,[status(thm)],[])).
% 66.66/42.73 tff(69,plain,
% 66.66/42.73 (multiply(inverse(sk_c2), sk_c2) = identity),
% 66.66/42.73 inference(unit_resolution,[status(thm)],[68, 18])).
% 66.66/42.73 tff(70,plain,
% 66.66/42.73 (identity = multiply(inverse(sk_c2), sk_c2)),
% 66.66/42.73 inference(symmetry,[status(thm)],[69])).
% 66.66/42.73 tff(71,plain,
% 66.66/42.73 (identity = multiply(sk_c7, sk_c2)),
% 66.66/42.73 inference(transitivity,[status(thm)],[70, 67])).
% 66.66/42.73 tff(72,plain,
% 66.66/42.73 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[71])).
% 66.66/42.73 tff(73,plain,
% 66.66/42.73 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 66.66/42.73 inference(symmetry,[status(thm)],[72])).
% 66.66/42.73 tff(74,plain,
% 66.66/42.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 66.66/42.73 inference(quant_inst,[status(thm)],[])).
% 66.66/42.73 tff(75,plain,
% 66.66/42.73 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 66.66/42.73 inference(unit_resolution,[status(thm)],[74, 7])).
% 66.66/42.73 tff(76,plain,
% 66.66/42.73 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 66.66/42.73 inference(symmetry,[status(thm)],[75])).
% 66.66/42.73 tff(77,assumption,(multiply(sk_c2, sk_c7) = sk_c6), introduced(assumption)).
% 66.66/42.73 tff(78,plain,
% 66.66/42.73 (sk_c6 = multiply(sk_c2, sk_c7)),
% 66.66/42.73 inference(symmetry,[status(thm)],[77])).
% 66.66/42.73 tff(79,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 66.66/42.73 inference(monotonicity,[status(thm)],[78])).
% 66.66/42.73 tff(80,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c6) = sk_c7),
% 66.66/42.73 inference(transitivity,[status(thm)],[79, 76, 73, 63])).
% 66.66/42.73 tff(81,assumption,(~(multiply(sk_c7, sk_c6) = sk_c7)), introduced(assumption)).
% 66.66/42.73 tff(82,plain,
% 66.66/42.73 ($false),
% 66.66/42.73 inference(unit_resolution,[status(thm)],[81, 80])).
% 66.66/42.73 tff(83,plain,((multiply(sk_c7, sk_c6) = sk_c7) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7))), inference(lemma,lemma(discharge,[]))).
% 66.66/42.73 tff(84,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c6) = sk_c7),
% 66.66/42.73 inference(unit_resolution,[status(thm)],[83, 61, 55])).
% 66.66/42.73 tff(85,plain,
% 66.66/42.73 (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(inverse(sk_c7), sk_c7)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[33, 84])).
% 66.66/42.73 tff(86,plain,
% 66.66/42.73 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 66.66/42.73 inference(symmetry,[status(thm)],[85])).
% 66.66/42.73 tff(87,plain,
% 66.66/42.73 (sk_c7 = inverse(sk_c2)),
% 66.66/42.73 inference(symmetry,[status(thm)],[55])).
% 66.66/42.73 tff(88,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[87])).
% 66.66/42.73 tff(89,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c2) = inverse(sk_c7)),
% 66.66/42.73 inference(transitivity,[status(thm)],[88, 69, 45, 86, 51, 48, 42, 33])).
% 66.66/42.73 tff(90,plain,
% 66.66/42.73 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[89])).
% 66.66/42.73 tff(91,plain,
% 66.66/42.73 (sk_c6 = multiply(sk_c2, sk_c7)),
% 66.66/42.73 inference(symmetry,[status(thm)],[61])).
% 66.66/42.73 tff(92,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 66.66/42.73 inference(monotonicity,[status(thm)],[91])).
% 66.66/42.73 tff(93,plain,
% 66.66/42.73 (sk_c7 = multiply(sk_c7, sk_c6)),
% 66.66/42.73 inference(symmetry,[status(thm)],[84])).
% 66.66/42.73 tff(94,plain,
% 66.66/42.73 (sk_c7 = identity),
% 66.66/42.73 inference(transitivity,[status(thm)],[93, 92, 76, 90, 20])).
% 66.66/42.73 tff(95,plain,
% 66.66/42.73 ((multiply(sk_c7, sk_c7) = sk_c7) <=> (multiply(sk_c7, sk_c7) = identity)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[94])).
% 66.66/42.73 tff(96,plain,
% 66.66/42.73 ((multiply(sk_c7, sk_c7) = identity) <=> (multiply(sk_c7, sk_c7) = sk_c7)),
% 66.66/42.73 inference(symmetry,[status(thm)],[95])).
% 66.66/42.73 tff(97,plain,
% 66.66/42.73 (multiply(sk_c6, sk_c7) = sk_c6),
% 66.66/42.73 inference(transitivity,[status(thm)],[43, 86, 51, 48, 42])).
% 66.66/42.73 tff(98,plain,
% 66.66/42.73 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c6)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[97])).
% 66.66/42.73 tff(99,plain,
% 66.66/42.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7)))),
% 66.66/42.73 inference(quant_inst,[status(thm)],[])).
% 66.66/42.73 tff(100,plain,
% 66.66/42.73 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 66.66/42.73 inference(unit_resolution,[status(thm)],[99, 7])).
% 66.66/42.73 tff(101,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[93])).
% 66.66/42.73 tff(102,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c7) = identity),
% 66.66/42.73 inference(transitivity,[status(thm)],[101, 100, 98, 92, 76, 90, 20])).
% 66.66/42.73 tff(103,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c7) = sk_c7),
% 66.66/42.73 inference(modus_ponens,[status(thm)],[102, 96])).
% 66.66/42.73 tff(104,plain,
% 66.66/42.73 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, sk_c6)),
% 66.66/42.73 inference(symmetry,[status(thm)],[92])).
% 66.66/42.73 tff(105,plain,
% 66.66/42.73 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 66.66/42.73 inference(symmetry,[status(thm)],[90])).
% 66.66/42.73 tff(106,plain,
% 66.66/42.73 (sk_c6 = multiply(identity, sk_c6)),
% 66.66/42.73 inference(symmetry,[status(thm)],[42])).
% 66.66/42.73 tff(107,plain,
% 66.66/42.73 (inverse(sk_c7) = sk_c7),
% 66.66/42.73 inference(transitivity,[status(thm)],[32, 106, 47, 50, 85, 105, 75, 104, 84])).
% 66.66/42.73 tff(108,plain,
% 66.66/42.73 (identity = sk_c6),
% 66.66/42.73 inference(transitivity,[status(thm)],[45, 86, 51, 48, 42])).
% 66.66/42.73 tff(109,plain,
% 66.66/42.73 ((multiply(sk_c7, sk_c7) = identity) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 66.66/42.73 inference(monotonicity,[status(thm)],[108])).
% 66.66/42.73 tff(110,plain,
% 66.66/42.73 (multiply(sk_c7, sk_c7) = sk_c6),
% 66.66/42.73 inference(modus_ponens,[status(thm)],[102, 109])).
% 66.66/42.73 tff(111,plain,
% 66.66/42.73 (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))),
% 66.66/42.73 inference(bind,[status(th)],[])).
% 66.66/42.73 tff(112,plain,
% 66.66/42.73 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 66.66/42.73 inference(quant_intro,[status(thm)],[111])).
% 66.66/42.73 tff(113,plain,
% 66.66/42.73 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 66.66/42.73 inference(rewrite,[status(thm)],[])).
% 66.66/42.73 tff(114,plain,
% 66.66/42.73 (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c7, X2) = sk_c6))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c7, X2) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7))) <=> (((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X5) = sk_c7))))), rewrite((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X5) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 66.66/42.74 inference(bind,[status(th)],[])).
% 66.66/42.74 tff(115,plain,
% 66.66/42.74 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 66.66/42.74 inference(quant_intro,[status(thm)],[114])).
% 66.66/42.74 tff(116,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((~(inverse(sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(multiply(sk_c7, X2) = sk_c6))) | (~(multiply(X5, sk_c7) = X2))) | (~(inverse(X5) = sk_c7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 66.66/42.74 tff(117,plain,
% 66.66/42.74 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 66.66/42.74 inference(modus_ponens,[status(thm)],[116, 115])).
% 66.66/42.74 tff(118,plain,
% 66.66/42.74 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 66.66/42.74 inference(modus_ponens,[status(thm)],[117, 113])).
% 66.66/42.74 tff(119,plain,(
% 66.66/42.74 ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 66.66/42.74 inference(skolemize,[status(sab)],[118])).
% 66.66/42.74 tff(120,plain,
% 66.66/42.74 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 66.66/42.74 inference(modus_ponens,[status(thm)],[119, 112])).
% 66.66/42.74 tff(121,plain,
% 66.66/42.74 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c7)))),
% 66.66/42.74 inference(rewrite,[status(thm)],[])).
% 66.66/42.74 tff(122,plain,
% 66.66/42.74 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c7)))),
% 66.66/42.74 inference(rewrite,[status(thm)],[])).
% 66.66/42.74 tff(123,plain,
% 66.66/42.74 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c7))))),
% 66.66/42.74 inference(monotonicity,[status(thm)],[122])).
% 66.66/42.74 tff(124,plain,
% 66.66/42.74 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c7)))),
% 66.66/42.75 inference(transitivity,[status(thm)],[123, 121])).
% 66.66/42.75 tff(125,plain,
% 66.66/42.75 ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(126,plain,
% 66.66/42.75 ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c7))),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[125, 124])).
% 66.66/42.75 tff(127,plain,
% 66.66/42.75 ((~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c7))),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[126, 32, 120])).
% 66.66/42.75 tff(128,plain,
% 66.66/42.75 ($false),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[127, 110, 107, 84, 103])).
% 66.66/42.75 tff(129,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 66.66/42.75 tff(130,plain,
% 66.66/42.75 (sk_c7 = inverse(sk_c3)),
% 66.66/42.75 inference(symmetry,[status(thm)],[129])).
% 66.66/42.75 tff(131,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 66.66/42.75 inference(monotonicity,[status(thm)],[130])).
% 66.66/42.75 tff(132,plain,
% 66.66/42.75 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 66.66/42.75 inference(symmetry,[status(thm)],[131])).
% 66.66/42.75 tff(133,plain,
% 66.66/42.75 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(134,plain,
% 66.66/42.75 (multiply(inverse(sk_c3), sk_c3) = identity),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[133, 18])).
% 66.66/42.75 tff(135,plain,
% 66.66/42.75 (identity = multiply(inverse(sk_c3), sk_c3)),
% 66.66/42.75 inference(symmetry,[status(thm)],[134])).
% 66.66/42.75 tff(136,assumption,(~(inverse(sk_c7) = sk_c6)), introduced(assumption)).
% 66.66/42.75 tff(137,plain,
% 66.66/42.75 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 66.66/42.75 inference(rewrite,[status(thm)],[])).
% 66.66/42.75 tff(138,axiom,((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 66.66/42.75 tff(139,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[138, 137])).
% 66.66/42.75 tff(140,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c5) = sk_c6),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[139, 136])).
% 66.66/42.75 tff(141,plain,
% 66.66/42.75 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5))),
% 66.66/42.75 inference(rewrite,[status(thm)],[])).
% 66.66/42.75 tff(142,axiom,((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 66.66/42.75 tff(143,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[142, 141])).
% 66.66/42.75 tff(144,plain,
% 66.66/42.75 (multiply(sk_c4, sk_c7) = sk_c5),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[143, 136])).
% 66.66/42.75 tff(145,plain,
% 66.66/42.75 (sk_c5 = multiply(sk_c4, sk_c7)),
% 66.66/42.75 inference(symmetry,[status(thm)],[144])).
% 66.66/42.75 tff(146,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 66.66/42.75 inference(monotonicity,[status(thm)],[145])).
% 66.66/42.75 tff(147,plain,
% 66.66/42.75 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c5)),
% 66.66/42.75 inference(symmetry,[status(thm)],[146])).
% 66.66/42.75 tff(148,plain,
% 66.66/42.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7)))),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(149,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[148, 7])).
% 66.66/42.75 tff(150,plain,
% 66.66/42.75 (((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7))),
% 66.66/42.75 inference(rewrite,[status(thm)],[])).
% 66.66/42.75 tff(151,axiom,((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 66.66/42.75 tff(152,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[151, 150])).
% 66.66/42.75 tff(153,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[152, 150])).
% 66.66/42.75 tff(154,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[153, 150])).
% 66.66/42.75 tff(155,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[154, 150])).
% 66.66/42.75 tff(156,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[155, 150])).
% 66.66/42.75 tff(157,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[156, 150])).
% 66.66/42.75 tff(158,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[157, 150])).
% 66.66/42.75 tff(159,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[158, 150])).
% 66.66/42.75 tff(160,plain,
% 66.66/42.75 (inverse(sk_c4) = sk_c7),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[159, 136])).
% 66.66/42.75 tff(161,plain,
% 66.66/42.75 (sk_c7 = inverse(sk_c4)),
% 66.66/42.75 inference(symmetry,[status(thm)],[160])).
% 66.66/42.75 tff(162,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 66.66/42.75 inference(monotonicity,[status(thm)],[161])).
% 66.66/42.75 tff(163,plain,
% 66.66/42.75 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 66.66/42.75 inference(symmetry,[status(thm)],[162])).
% 66.66/42.75 tff(164,plain,
% 66.66/42.75 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(165,plain,
% 66.66/42.75 (multiply(inverse(sk_c4), sk_c4) = identity),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[164, 18])).
% 66.66/42.75 tff(166,plain,
% 66.66/42.75 (identity = multiply(inverse(sk_c4), sk_c4)),
% 66.66/42.75 inference(symmetry,[status(thm)],[165])).
% 66.66/42.75 tff(167,plain,
% 66.66/42.75 (identity = multiply(sk_c7, sk_c4)),
% 66.66/42.75 inference(transitivity,[status(thm)],[166, 163])).
% 66.66/42.75 tff(168,plain,
% 66.66/42.75 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 66.66/42.75 inference(monotonicity,[status(thm)],[167])).
% 66.66/42.75 tff(169,plain,
% 66.66/42.75 (sk_c7 = multiply(identity, sk_c7)),
% 66.66/42.75 inference(symmetry,[status(thm)],[63])).
% 66.66/42.75 tff(170,plain,
% 66.66/42.75 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(171,plain,
% 66.66/42.75 (multiply(identity, sk_c3) = sk_c3),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[170, 40])).
% 66.66/42.75 tff(172,plain,
% 66.66/42.75 (multiply(identity, sk_c3) = multiply(multiply(sk_c7, sk_c4), sk_c3)),
% 66.66/42.75 inference(monotonicity,[status(thm)],[167])).
% 66.66/42.75 tff(173,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(identity, sk_c3)),
% 66.66/42.75 inference(symmetry,[status(thm)],[172])).
% 66.66/42.75 tff(174,plain,
% 66.66/42.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(175,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(sk_c7, multiply(sk_c4, sk_c3))),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[174, 7])).
% 66.66/42.75 tff(176,plain,
% 66.66/42.75 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, sk_c4), sk_c3)),
% 66.66/42.75 inference(symmetry,[status(thm)],[175])).
% 66.66/42.75 tff(177,plain,
% 66.66/42.75 (sk_c7 = sk_c6),
% 66.66/42.75 inference(transitivity,[status(thm)],[169, 168, 149, 147, 140])).
% 66.66/42.75 tff(178,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c6)),
% 66.66/42.75 inference(monotonicity,[status(thm)],[177])).
% 66.66/42.75 tff(179,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c7)),
% 66.66/42.75 inference(symmetry,[status(thm)],[178])).
% 66.66/42.75 tff(180,plain,
% 66.66/42.75 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c6)),
% 66.66/42.75 inference(monotonicity,[status(thm)],[177])).
% 66.66/42.75 tff(181,plain,
% 66.66/42.75 (multiply(sk_c3, sk_c6) = multiply(sk_c3, sk_c7)),
% 66.66/42.75 inference(symmetry,[status(thm)],[180])).
% 66.66/42.75 tff(182,plain,
% 66.66/42.75 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 66.66/42.75 inference(rewrite,[status(thm)],[])).
% 66.66/42.75 tff(183,axiom,((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 66.66/42.75 tff(184,plain,
% 66.66/42.75 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 66.66/42.75 inference(modus_ponens,[status(thm)],[183, 182])).
% 66.66/42.75 tff(185,plain,
% 66.66/42.75 (multiply(sk_c3, sk_c6) = sk_c7),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[184, 136])).
% 66.66/42.75 tff(186,plain,
% 66.66/42.75 (sk_c7 = multiply(sk_c3, sk_c6)),
% 66.66/42.75 inference(symmetry,[status(thm)],[185])).
% 66.66/42.75 tff(187,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 66.66/42.75 inference(symmetry,[status(thm)],[168])).
% 66.66/42.75 tff(188,plain,
% 66.66/42.75 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 66.66/42.75 inference(symmetry,[status(thm)],[149])).
% 66.66/42.75 tff(189,plain,
% 66.66/42.75 (sk_c6 = multiply(sk_c7, sk_c5)),
% 66.66/42.75 inference(symmetry,[status(thm)],[140])).
% 66.66/42.75 tff(190,plain,
% 66.66/42.75 (sk_c6 = multiply(sk_c3, sk_c7)),
% 66.66/42.75 inference(transitivity,[status(thm)],[189, 146, 188, 187, 63, 186, 181])).
% 66.66/42.75 tff(191,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 66.66/42.75 inference(monotonicity,[status(thm)],[190])).
% 66.66/42.75 tff(192,plain,
% 66.66/42.75 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c6)),
% 66.66/42.75 inference(symmetry,[status(thm)],[191])).
% 66.66/42.75 tff(193,plain,
% 66.66/42.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(194,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[193, 7])).
% 66.66/42.75 tff(195,plain,
% 66.66/42.75 (multiply(sk_c7, sk_c3) = multiply(sk_c7, sk_c4)),
% 66.66/42.75 inference(transitivity,[status(thm)],[131, 134, 166, 163])).
% 66.66/42.75 tff(196,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 66.66/42.75 inference(monotonicity,[status(thm)],[195])).
% 66.66/42.75 tff(197,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 66.66/42.75 inference(symmetry,[status(thm)],[196])).
% 66.66/42.75 tff(198,plain,
% 66.66/42.75 (sk_c7 = multiply(sk_c7, sk_c7)),
% 66.66/42.75 inference(transitivity,[status(thm)],[169, 168, 197, 194, 192, 179])).
% 66.66/42.75 tff(199,plain,
% 66.66/42.75 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3))),
% 66.66/42.75 inference(monotonicity,[status(thm)],[198])).
% 66.66/42.75 tff(200,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c4, sk_c3))),
% 66.66/42.75 inference(symmetry,[status(thm)],[199])).
% 66.66/42.75 tff(201,plain,
% 66.66/42.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))))),
% 66.66/42.75 inference(quant_inst,[status(thm)],[])).
% 66.66/42.75 tff(202,plain,
% 66.66/42.75 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 66.66/42.75 inference(unit_resolution,[status(thm)],[201, 7])).
% 66.66/42.75 tff(203,plain,
% 66.66/42.75 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3))),
% 66.66/42.75 inference(symmetry,[status(thm)],[202])).
% 66.66/42.75 tff(204,plain,
% 66.66/42.75 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = sk_c3),
% 66.75/42.76 inference(transitivity,[status(thm)],[176, 173, 171])).
% 66.75/42.76 tff(205,plain,
% 66.75/42.76 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))) = multiply(inverse(sk_c3), sk_c3)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[130, 204])).
% 66.75/42.76 tff(206,plain,
% 66.75/42.76 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 66.75/42.76 inference(symmetry,[status(thm)],[205])).
% 66.75/42.76 tff(207,plain,
% 66.75/42.76 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 66.75/42.76 inference(symmetry,[status(thm)],[194])).
% 66.75/42.76 tff(208,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c7) = sk_c7),
% 66.75/42.76 inference(transitivity,[status(thm)],[178, 191, 207, 196, 187, 63])).
% 66.75/42.76 tff(209,plain,
% 66.75/42.76 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c7), sk_c7)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[208])).
% 66.75/42.76 tff(210,plain,
% 66.75/42.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c7)))),
% 66.75/42.76 inference(quant_inst,[status(thm)],[])).
% 66.75/42.76 tff(211,plain,
% 66.75/42.76 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c7))),
% 66.75/42.76 inference(unit_resolution,[status(thm)],[210, 7])).
% 66.75/42.76 tff(212,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c7), sk_c7)),
% 66.75/42.76 inference(transitivity,[status(thm)],[162, 165, 45])).
% 66.75/42.76 tff(213,plain,
% 66.75/42.76 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c7)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[212])).
% 66.75/42.76 tff(214,plain,
% 66.75/42.76 (sk_c7 = sk_c3),
% 66.75/42.76 inference(transitivity,[status(thm)],[169, 168, 213, 211, 209, 20, 135, 206, 203, 200, 176, 173, 171])).
% 66.75/42.76 tff(215,plain,
% 66.75/42.76 (inverse(sk_c7) = inverse(sk_c3)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[214])).
% 66.75/42.76 tff(216,plain,
% 66.75/42.76 (inverse(sk_c7) = sk_c6),
% 66.75/42.76 inference(transitivity,[status(thm)],[215, 129, 169, 168, 149, 147, 140])).
% 66.75/42.76 tff(217,plain,
% 66.75/42.76 ($false),
% 66.75/42.76 inference(unit_resolution,[status(thm)],[136, 216])).
% 66.75/42.76 tff(218,plain,(inverse(sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 66.75/42.76 tff(219,plain,
% 66.75/42.76 (sk_c6 = inverse(sk_c7)),
% 66.75/42.76 inference(symmetry,[status(thm)],[218])).
% 66.75/42.76 tff(220,plain,
% 66.75/42.76 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[219])).
% 66.75/42.76 tff(221,plain,
% 66.75/42.76 (multiply(sk_c6, sk_c7) = multiply(sk_c7, sk_c3)),
% 66.75/42.76 inference(transitivity,[status(thm)],[220, 20, 135, 132])).
% 66.75/42.76 tff(222,plain,
% 66.75/42.76 (multiply(multiply(sk_c6, sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[221])).
% 66.75/42.76 tff(223,plain,
% 66.75/42.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c2) = multiply(sk_c6, multiply(sk_c7, sk_c2)))),
% 66.75/42.76 inference(quant_inst,[status(thm)],[])).
% 66.75/42.76 tff(224,plain,
% 66.75/42.76 (multiply(multiply(sk_c6, sk_c7), sk_c2) = multiply(sk_c6, multiply(sk_c7, sk_c2))),
% 66.75/42.76 inference(unit_resolution,[status(thm)],[223, 7])).
% 66.75/42.76 tff(225,plain,
% 66.75/42.76 (multiply(sk_c6, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c6, sk_c7), sk_c2)),
% 66.75/42.76 inference(symmetry,[status(thm)],[224])).
% 66.75/42.76 tff(226,assumption,(~(inverse(sk_c2) = sk_c7)), introduced(assumption)).
% 66.75/42.76 tff(227,plain,
% 66.75/42.76 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 66.75/42.76 inference(rewrite,[status(thm)],[])).
% 66.75/42.76 tff(228,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 66.75/42.76 tff(229,plain,
% 66.75/42.76 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 66.75/42.76 inference(modus_ponens,[status(thm)],[228, 227])).
% 66.75/42.76 tff(230,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c5) = sk_c6),
% 66.75/42.76 inference(unit_resolution,[status(thm)],[229, 226])).
% 66.75/42.76 tff(231,plain,
% 66.75/42.76 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5))),
% 66.75/42.76 inference(rewrite,[status(thm)],[])).
% 66.75/42.76 tff(232,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 66.75/42.76 tff(233,plain,
% 66.75/42.76 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c5)),
% 66.75/42.76 inference(modus_ponens,[status(thm)],[232, 231])).
% 66.75/42.76 tff(234,plain,
% 66.75/42.76 (multiply(sk_c4, sk_c7) = sk_c5),
% 66.75/42.76 inference(unit_resolution,[status(thm)],[233, 226])).
% 66.75/42.76 tff(235,plain,
% 66.75/42.76 (sk_c5 = multiply(sk_c4, sk_c7)),
% 66.75/42.76 inference(symmetry,[status(thm)],[234])).
% 66.75/42.76 tff(236,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 66.75/42.76 inference(monotonicity,[status(thm)],[235])).
% 66.75/42.76 tff(237,plain,
% 66.75/42.76 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c5)),
% 66.75/42.76 inference(symmetry,[status(thm)],[236])).
% 66.75/42.76 tff(238,plain,
% 66.75/42.76 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7))),
% 66.75/42.76 inference(rewrite,[status(thm)],[])).
% 66.75/42.76 tff(239,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 66.75/42.76 tff(240,plain,
% 66.75/42.76 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c7)),
% 66.75/42.76 inference(modus_ponens,[status(thm)],[239, 238])).
% 66.75/42.76 tff(241,plain,
% 66.75/42.76 (inverse(sk_c4) = sk_c7),
% 66.75/42.76 inference(unit_resolution,[status(thm)],[240, 226])).
% 66.75/42.76 tff(242,plain,
% 66.75/42.76 (sk_c7 = inverse(sk_c4)),
% 66.75/42.76 inference(symmetry,[status(thm)],[241])).
% 66.75/42.76 tff(243,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[242])).
% 66.75/42.76 tff(244,plain,
% 66.75/42.76 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 66.75/42.76 inference(symmetry,[status(thm)],[243])).
% 66.75/42.76 tff(245,plain,
% 66.75/42.76 (identity = multiply(sk_c7, sk_c4)),
% 66.75/42.76 inference(transitivity,[status(thm)],[166, 244])).
% 66.75/42.76 tff(246,plain,
% 66.75/42.76 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[245])).
% 66.75/42.76 tff(247,plain,
% 66.75/42.76 (multiply(identity, sk_c3) = multiply(multiply(sk_c7, sk_c4), sk_c3)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[245])).
% 66.75/42.76 tff(248,plain,
% 66.75/42.76 (multiply(multiply(sk_c7, sk_c4), sk_c3) = multiply(identity, sk_c3)),
% 66.75/42.76 inference(symmetry,[status(thm)],[247])).
% 66.75/42.76 tff(249,plain,
% 66.75/42.76 (sk_c7 = sk_c6),
% 66.75/42.76 inference(transitivity,[status(thm)],[169, 246, 149, 237, 230])).
% 66.75/42.76 tff(250,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c6)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[249])).
% 66.75/42.76 tff(251,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c7)),
% 66.75/42.76 inference(symmetry,[status(thm)],[250])).
% 66.75/42.76 tff(252,plain,
% 66.75/42.76 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c6)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[249])).
% 66.75/42.76 tff(253,plain,
% 66.75/42.76 (multiply(sk_c3, sk_c6) = multiply(sk_c3, sk_c7)),
% 66.75/42.76 inference(symmetry,[status(thm)],[252])).
% 66.75/42.76 tff(254,plain,
% 66.75/42.76 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 66.75/42.76 inference(rewrite,[status(thm)],[])).
% 66.75/42.76 tff(255,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 66.75/42.76 tff(256,plain,
% 66.75/42.76 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 66.75/42.76 inference(modus_ponens,[status(thm)],[255, 254])).
% 66.75/42.76 tff(257,plain,
% 66.75/42.76 (multiply(sk_c3, sk_c6) = sk_c7),
% 66.75/42.76 inference(unit_resolution,[status(thm)],[256, 226])).
% 66.75/42.76 tff(258,plain,
% 66.75/42.76 (sk_c7 = multiply(sk_c3, sk_c6)),
% 66.75/42.76 inference(symmetry,[status(thm)],[257])).
% 66.75/42.76 tff(259,plain,
% 66.75/42.76 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 66.75/42.76 inference(symmetry,[status(thm)],[246])).
% 66.75/42.76 tff(260,plain,
% 66.75/42.76 (sk_c6 = multiply(sk_c7, sk_c5)),
% 66.75/42.76 inference(symmetry,[status(thm)],[230])).
% 66.75/42.76 tff(261,plain,
% 66.75/42.76 (sk_c6 = multiply(sk_c3, sk_c7)),
% 66.75/42.76 inference(transitivity,[status(thm)],[260, 236, 188, 259, 63, 258, 253])).
% 66.75/42.76 tff(262,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 66.75/42.76 inference(monotonicity,[status(thm)],[261])).
% 66.75/42.76 tff(263,plain,
% 66.75/42.76 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c6)),
% 66.75/42.76 inference(symmetry,[status(thm)],[262])).
% 66.75/42.76 tff(264,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c3) = multiply(sk_c7, sk_c4)),
% 66.75/42.76 inference(transitivity,[status(thm)],[131, 134, 166, 244])).
% 66.75/42.76 tff(265,plain,
% 66.75/42.76 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[264])).
% 66.75/42.76 tff(266,plain,
% 66.75/42.76 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 66.75/42.76 inference(symmetry,[status(thm)],[265])).
% 66.75/42.76 tff(267,plain,
% 66.75/42.76 (sk_c7 = multiply(sk_c7, sk_c7)),
% 66.75/42.76 inference(transitivity,[status(thm)],[169, 246, 266, 194, 263, 251])).
% 66.75/42.76 tff(268,plain,
% 66.75/42.76 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3))),
% 66.75/42.76 inference(monotonicity,[status(thm)],[267])).
% 66.75/42.76 tff(269,plain,
% 66.75/42.76 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c4, sk_c3)) = multiply(sk_c7, multiply(sk_c4, sk_c3))),
% 66.75/42.76 inference(symmetry,[status(thm)],[268])).
% 66.75/42.76 tff(270,plain,
% 66.75/42.76 (multiply(sk_c7, multiply(sk_c4, sk_c3)) = sk_c3),
% 66.75/42.76 inference(transitivity,[status(thm)],[176, 248, 171])).
% 66.75/42.76 tff(271,plain,
% 66.75/42.76 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3))) = multiply(inverse(sk_c3), sk_c3)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[130, 270])).
% 66.75/42.76 tff(272,plain,
% 66.75/42.76 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c4, sk_c3)))),
% 66.75/42.76 inference(symmetry,[status(thm)],[271])).
% 66.75/42.76 tff(273,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c7) = sk_c7),
% 66.75/42.76 inference(transitivity,[status(thm)],[250, 262, 207, 265, 259, 63])).
% 66.75/42.76 tff(274,plain,
% 66.75/42.76 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c7), sk_c7)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[273])).
% 66.75/42.76 tff(275,plain,
% 66.75/42.76 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c7), sk_c7)),
% 66.75/42.76 inference(transitivity,[status(thm)],[243, 165, 45])).
% 66.75/42.76 tff(276,plain,
% 66.75/42.76 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c7)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[275])).
% 66.75/42.76 tff(277,plain,
% 66.75/42.76 (sk_c7 = sk_c3),
% 66.75/42.76 inference(transitivity,[status(thm)],[169, 246, 276, 211, 274, 20, 135, 272, 203, 269, 176, 248, 171])).
% 66.75/42.76 tff(278,plain,
% 66.75/42.76 (inverse(sk_c7) = inverse(sk_c3)),
% 66.75/42.76 inference(monotonicity,[status(thm)],[277])).
% 66.75/42.76 tff(279,plain,
% 66.75/42.76 (inverse(sk_c7) = sk_c6),
% 66.75/42.76 inference(transitivity,[status(thm)],[278, 129, 169, 246, 149, 237, 230])).
% 66.75/42.76 tff(280,plain,
% 66.75/42.76 (multiply(sk_c3, sk_c7) = sk_c6),
% 66.75/42.76 inference(transitivity,[status(thm)],[252, 257, 169, 246, 149, 237, 230])).
% 66.75/42.76 tff(281,plain,
% 66.75/42.76 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)))),
% 66.75/42.76 inference(rewrite,[status(thm)],[])).
% 66.75/42.76 tff(282,plain,
% 66.75/42.76 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)))),
% 66.75/42.77 inference(rewrite,[status(thm)],[])).
% 66.75/42.77 tff(283,plain,
% 66.75/42.77 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7))))),
% 66.75/42.77 inference(monotonicity,[status(thm)],[282])).
% 66.75/42.77 tff(284,plain,
% 66.75/42.77 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)))),
% 66.75/42.77 inference(transitivity,[status(thm)],[283, 281])).
% 66.75/42.77 tff(285,plain,
% 66.75/42.77 ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))),
% 66.75/42.77 inference(quant_inst,[status(thm)],[])).
% 66.75/42.77 tff(286,plain,
% 66.75/42.77 ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7))),
% 66.75/42.77 inference(modus_ponens,[status(thm)],[285, 284])).
% 66.75/42.77 tff(287,plain,
% 66.75/42.77 ((~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))),
% 66.75/42.77 inference(unit_resolution,[status(thm)],[286, 129, 257, 230, 234, 241, 120])).
% 66.75/42.77 tff(288,plain,
% 66.75/42.77 (~(inverse(sk_c7) = sk_c6)),
% 66.75/42.77 inference(unit_resolution,[status(thm)],[287, 280])).
% 66.75/42.77 tff(289,plain,
% 66.75/42.77 ($false),
% 66.75/42.77 inference(unit_resolution,[status(thm)],[288, 279])).
% 66.75/42.77 tff(290,plain,(inverse(sk_c2) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 66.75/42.77 tff(291,plain,
% 66.75/42.77 (sk_c7 = inverse(sk_c2)),
% 66.75/42.77 inference(symmetry,[status(thm)],[290])).
% 66.75/42.77 tff(292,plain,
% 66.75/42.77 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 66.75/42.77 inference(monotonicity,[status(thm)],[291])).
% 66.75/42.77 tff(293,plain,
% 66.75/42.77 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, sk_c2)),
% 66.75/42.77 inference(symmetry,[status(thm)],[292])).
% 66.75/42.77 tff(294,plain,
% 66.75/42.77 (identity = multiply(sk_c7, sk_c2)),
% 66.75/42.77 inference(transitivity,[status(thm)],[70, 293])).
% 66.75/42.77 tff(295,plain,
% 66.75/42.77 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(sk_c7, sk_c2))),
% 66.75/42.77 inference(monotonicity,[status(thm)],[294])).
% 66.75/42.77 tff(296,plain,
% 66.75/42.77 (multiply(sk_c6, identity) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.75/42.77 inference(transitivity,[status(thm)],[295, 225, 222, 11])).
% 66.75/42.77 tff(297,plain,
% 66.75/42.77 (multiply(multiply(sk_c6, identity), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7))),
% 66.75/42.77 inference(monotonicity,[status(thm)],[296])).
% 66.75/42.77 tff(298,plain,
% 66.75/42.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(identity, multiply(sk_c7, sk_c7))))),
% 66.75/42.77 inference(quant_inst,[status(thm)],[])).
% 66.75/42.77 tff(299,plain,
% 66.75/42.77 (multiply(multiply(sk_c6, identity), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(identity, multiply(sk_c7, sk_c7)))),
% 66.75/42.77 inference(unit_resolution,[status(thm)],[298, 7])).
% 66.75/42.77 tff(300,plain,
% 66.75/42.77 (multiply(sk_c6, multiply(identity, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, identity), multiply(sk_c7, sk_c7))),
% 66.75/42.77 inference(symmetry,[status(thm)],[299])).
% 66.75/42.77 tff(301,plain,
% 66.75/42.77 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(sk_c7, sk_c7))),
% 66.75/42.77 inference(quant_inst,[status(thm)],[])).
% 66.75/42.77 tff(302,plain,
% 66.75/42.77 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(sk_c7, sk_c7)),
% 66.75/42.77 inference(unit_resolution,[status(thm)],[301, 40])).
% 66.75/42.77 tff(303,plain,
% 66.75/42.77 (multiply(sk_c7, sk_c7) = multiply(identity, multiply(sk_c7, sk_c7))),
% 66.75/42.77 inference(symmetry,[status(thm)],[302])).
% 66.75/42.77 tff(304,plain,
% 66.75/42.77 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(identity, multiply(sk_c7, sk_c7)))),
% 66.75/42.77 inference(monotonicity,[status(thm)],[303])).
% 66.75/42.77 tff(305,plain,
% 66.75/42.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 66.75/42.77 inference(quant_inst,[status(thm)],[])).
% 66.75/42.77 tff(306,plain,
% 66.75/42.77 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 66.75/42.77 inference(unit_resolution,[status(thm)],[305, 7])).
% 66.75/42.77 tff(307,plain,
% 66.75/42.77 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 66.75/42.77 inference(symmetry,[status(thm)],[220])).
% 66.75/42.77 tff(308,plain,
% 66.75/42.77 (identity = multiply(sk_c6, sk_c7)),
% 66.75/42.77 inference(transitivity,[status(thm)],[45, 307])).
% 66.75/42.77 tff(309,plain,
% 66.75/42.77 (multiply(identity, sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 66.75/42.77 inference(monotonicity,[status(thm)],[308])).
% 66.75/42.77 tff(310,plain,
% 66.75/42.77 (sk_c7 = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))),
% 66.75/42.77 inference(transitivity,[status(thm)],[169, 309, 306, 304, 300, 297, 9])).
% 66.75/42.77 tff(311,plain,
% 66.75/42.77 (multiply(sk_c6, sk_c7) = multiply(sk_c7, sk_c2)),
% 66.75/42.77 inference(transitivity,[status(thm)],[220, 20, 70, 293])).
% 66.75/42.77 tff(312,plain,
% 66.75/42.77 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(sk_c6, multiply(sk_c7, sk_c2))),
% 66.75/42.77 inference(monotonicity,[status(thm)],[311])).
% 66.75/42.77 tff(313,plain,
% 66.75/42.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7)))),
% 66.77/42.77 inference(quant_inst,[status(thm)],[])).
% 66.77/42.77 tff(314,plain,
% 66.77/42.77 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 66.77/42.77 inference(unit_resolution,[status(thm)],[313, 7])).
% 66.77/42.77 tff(315,plain,
% 66.77/42.77 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.77/42.77 inference(transitivity,[status(thm)],[314, 312, 225, 222, 11])).
% 66.77/42.77 tff(316,plain,
% 66.77/42.77 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.77/42.77 inference(monotonicity,[status(thm)],[315])).
% 66.77/42.77 tff(317,plain,
% 66.77/42.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, sk_c7)))),
% 66.77/42.77 inference(quant_inst,[status(thm)],[])).
% 66.77/42.77 tff(318,plain,
% 66.77/42.77 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, sk_c7))),
% 66.77/42.77 inference(unit_resolution,[status(thm)],[317, 7])).
% 66.77/42.77 tff(319,plain,
% 66.77/42.77 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), sk_c7)),
% 66.77/42.77 inference(symmetry,[status(thm)],[318])).
% 66.77/42.77 tff(320,plain,
% 66.77/42.77 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 66.77/42.77 inference(quant_inst,[status(thm)],[])).
% 66.77/42.77 tff(321,plain,
% 66.77/42.77 (multiply(identity, sk_c2) = sk_c2),
% 66.77/42.77 inference(unit_resolution,[status(thm)],[320, 40])).
% 66.77/42.77 tff(322,plain,
% 66.77/42.77 (identity = multiply(sk_c7, sk_c3)),
% 66.77/42.77 inference(transitivity,[status(thm)],[135, 132])).
% 66.77/42.77 tff(323,plain,
% 66.77/42.77 (multiply(identity, sk_c2) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 66.77/42.77 inference(monotonicity,[status(thm)],[322])).
% 66.77/42.77 tff(324,plain,
% 66.77/42.77 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(identity, sk_c2)),
% 66.77/42.77 inference(symmetry,[status(thm)],[323])).
% 66.77/42.77 tff(325,plain,
% 66.77/42.77 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 66.77/42.77 inference(symmetry,[status(thm)],[11])).
% 66.77/42.78 tff(326,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c2),
% 66.77/42.78 inference(transitivity,[status(thm)],[325, 324, 321])).
% 66.77/42.78 tff(327,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(inverse(sk_c2), sk_c2)),
% 66.77/42.78 inference(monotonicity,[status(thm)],[291, 326])).
% 66.77/42.78 tff(328,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))) = identity),
% 66.77/42.78 inference(transitivity,[status(thm)],[327, 69])).
% 66.77/42.78 tff(329,plain,
% 66.77/42.78 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[328])).
% 66.77/42.78 tff(330,plain,
% 66.77/42.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(quant_inst,[status(thm)],[])).
% 66.77/42.78 tff(331,plain,
% 66.77/42.78 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(unit_resolution,[status(thm)],[330, 7])).
% 66.77/42.78 tff(332,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(symmetry,[status(thm)],[331])).
% 66.77/42.78 tff(333,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(symmetry,[status(thm)],[9])).
% 66.77/42.78 tff(334,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[333])).
% 66.77/42.78 tff(335,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c7, sk_c7)),
% 66.77/42.78 inference(transitivity,[status(thm)],[334, 332, 329, 302])).
% 66.77/42.78 tff(336,plain,
% 66.77/42.78 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[335])).
% 66.77/42.78 tff(337,plain,
% 66.77/42.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))))),
% 66.77/42.78 inference(quant_inst,[status(thm)],[])).
% 66.77/42.78 tff(338,plain,
% 66.77/42.78 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.77/42.78 inference(unit_resolution,[status(thm)],[337, 7])).
% 66.77/42.78 tff(339,plain,
% 66.77/42.78 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 66.77/42.78 inference(symmetry,[status(thm)],[314])).
% 66.77/42.78 tff(340,plain,
% 66.77/42.78 (multiply(sk_c6, multiply(sk_c7, sk_c2)) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 66.77/42.78 inference(symmetry,[status(thm)],[312])).
% 66.77/42.78 tff(341,plain,
% 66.77/42.78 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(multiply(sk_c6, sk_c7), sk_c2)),
% 66.77/42.78 inference(symmetry,[status(thm)],[222])).
% 66.77/42.78 tff(342,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 66.77/42.78 inference(transitivity,[status(thm)],[325, 341, 224, 340, 339])).
% 66.77/42.78 tff(343,plain,
% 66.77/42.78 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[342])).
% 66.77/42.78 tff(344,plain,
% 66.77/42.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(quant_inst,[status(thm)],[])).
% 66.77/42.78 tff(345,plain,
% 66.77/42.78 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(unit_resolution,[status(thm)],[344, 7])).
% 66.77/42.78 tff(346,plain,
% 66.77/42.78 (multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(symmetry,[status(thm)],[345])).
% 66.77/42.78 tff(347,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7)))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[346])).
% 66.77/42.78 tff(348,plain,
% 66.77/42.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7)))))),
% 66.77/42.78 inference(quant_inst,[status(thm)],[])).
% 66.77/42.78 tff(349,plain,
% 66.77/42.78 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(unit_resolution,[status(thm)],[348, 7])).
% 66.77/42.78 tff(350,plain,
% 66.77/42.78 (sk_c2 = multiply(identity, sk_c2)),
% 66.77/42.78 inference(symmetry,[status(thm)],[321])).
% 66.77/42.78 tff(351,plain,
% 66.77/42.78 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = multiply(multiply(identity, sk_c2), multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[350])).
% 66.77/42.78 tff(352,plain,
% 66.77/42.78 (multiply(multiply(identity, sk_c2), multiply(sk_c7, sk_c7)) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(symmetry,[status(thm)],[351])).
% 66.77/42.78 tff(353,plain,
% 66.77/42.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c2), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c2, multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(quant_inst,[status(thm)],[])).
% 66.77/42.78 tff(354,plain,
% 66.77/42.78 (multiply(multiply(identity, sk_c2), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(unit_resolution,[status(thm)],[353, 7])).
% 66.77/42.78 tff(355,plain,
% 66.77/42.78 (multiply(identity, multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(multiply(identity, sk_c2), multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(symmetry,[status(thm)],[354])).
% 66.77/42.78 tff(356,plain,
% 66.77/42.78 (multiply(identity, multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[322])).
% 66.77/42.78 tff(357,plain,
% 66.77/42.78 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(identity, multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(symmetry,[status(thm)],[356])).
% 66.77/42.78 tff(358,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(symmetry,[status(thm)],[349])).
% 66.77/42.78 tff(359,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(symmetry,[status(thm)],[347])).
% 66.77/42.78 tff(360,plain,
% 66.77/42.78 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 66.77/42.78 inference(transitivity,[status(thm)],[359, 358, 357, 355, 352])).
% 66.77/42.78 tff(361,plain,
% 66.77/42.78 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[221, 360])).
% 66.77/42.78 tff(362,plain,
% 66.77/42.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))))),
% 66.77/42.78 inference(quant_inst,[status(thm)],[])).
% 66.77/42.78 tff(363,plain,
% 66.77/42.78 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.77/42.78 inference(unit_resolution,[status(thm)],[362, 7])).
% 66.77/42.78 tff(364,plain,
% 66.77/42.78 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(symmetry,[status(thm)],[363])).
% 66.77/42.78 tff(365,plain,
% 66.77/42.78 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))),
% 66.77/42.78 inference(transitivity,[status(thm)],[364, 361, 349, 347])).
% 66.77/42.78 tff(366,plain,
% 66.77/42.78 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.78 inference(monotonicity,[status(thm)],[365])).
% 66.77/42.78 tff(367,plain,
% 66.77/42.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))))),
% 66.77/42.78 inference(quant_inst,[status(thm)],[])).
% 66.77/42.78 tff(368,plain,
% 66.77/42.78 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))))),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[367, 7])).
% 66.77/42.79 tff(369,plain,
% 66.77/42.79 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(symmetry,[status(thm)],[334])).
% 66.77/42.79 tff(370,plain,
% 66.77/42.79 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(symmetry,[status(thm)],[329])).
% 66.77/42.79 tff(371,plain,
% 66.77/42.79 (multiply(sk_c6, sk_c7) = identity),
% 66.77/42.79 inference(transitivity,[status(thm)],[220, 20])).
% 66.77/42.79 tff(372,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[371])).
% 66.77/42.79 tff(373,plain,
% 66.77/42.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(quant_inst,[status(thm)],[])).
% 66.77/42.79 tff(374,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[373, 7])).
% 66.77/42.79 tff(375,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(symmetry,[status(thm)],[374])).
% 66.77/42.79 tff(376,plain,
% 66.77/42.79 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.77/42.79 inference(quant_inst,[status(thm)],[])).
% 66.77/42.79 tff(377,plain,
% 66.77/42.79 (multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[376, 40])).
% 66.77/42.79 tff(378,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[377])).
% 66.77/42.79 tff(379,plain,
% 66.77/42.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7)))))),
% 66.77/42.79 inference(quant_inst,[status(thm)],[])).
% 66.77/42.79 tff(380,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[379, 7])).
% 66.77/42.79 tff(381,plain,
% 66.77/42.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c7) = multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.77/42.79 inference(quant_inst,[status(thm)],[])).
% 66.77/42.79 tff(382,plain,
% 66.77/42.79 (multiply(multiply(sk_c7, sk_c7), sk_c7) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[381, 7])).
% 66.77/42.79 tff(383,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(sk_c7, sk_c2)) = multiply(sk_c6, identity)),
% 66.77/42.79 inference(symmetry,[status(thm)],[295])).
% 66.77/42.79 tff(384,plain,
% 66.77/42.79 (sk_c2 = multiply(sk_c6, identity)),
% 66.77/42.79 inference(transitivity,[status(thm)],[350, 323, 341, 224, 383])).
% 66.77/42.79 tff(385,plain,
% 66.77/42.79 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)) = multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[384, 382])).
% 66.77/42.79 tff(386,plain,
% 66.77/42.79 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(transitivity,[status(thm)],[385, 380, 378, 375, 372, 370, 331, 369])).
% 66.77/42.79 tff(387,plain,
% 66.77/42.79 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6) = multiply(sk_c2, sk_c6)),
% 66.77/42.79 inference(monotonicity,[status(thm)],[326])).
% 66.77/42.79 tff(388,plain,
% 66.77/42.79 (multiply(sk_c2, sk_c6) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6)),
% 66.77/42.79 inference(symmetry,[status(thm)],[387])).
% 66.77/42.79 tff(389,plain,
% 66.77/42.79 (multiply(identity, sk_c3) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 66.77/42.79 inference(monotonicity,[status(thm)],[308])).
% 66.77/42.79 tff(390,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(identity, sk_c3)),
% 66.77/42.79 inference(symmetry,[status(thm)],[389])).
% 66.77/42.79 tff(391,plain,
% 66.77/42.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3)))),
% 66.77/42.79 inference(quant_inst,[status(thm)],[])).
% 66.77/42.79 tff(392,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[391, 7])).
% 66.77/42.79 tff(393,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 66.77/42.79 inference(symmetry,[status(thm)],[392])).
% 66.77/42.79 tff(394,plain,
% 66.77/42.79 (multiply(sk_c7, sk_c3) = multiply(sk_c7, sk_c2)),
% 66.77/42.79 inference(transitivity,[status(thm)],[131, 134, 70, 293])).
% 66.77/42.79 tff(395,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, multiply(sk_c7, sk_c2))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[394])).
% 66.77/42.79 tff(396,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(sk_c7, sk_c2)) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 66.77/42.79 inference(symmetry,[status(thm)],[395])).
% 66.77/42.79 tff(397,plain,
% 66.77/42.79 (sk_c2 = sk_c3),
% 66.77/42.79 inference(transitivity,[status(thm)],[350, 323, 341, 224, 396, 393, 390, 171])).
% 66.77/42.79 tff(398,plain,
% 66.77/42.79 (multiply(sk_c2, sk_c6) = multiply(sk_c3, sk_c6)),
% 66.77/42.79 inference(monotonicity,[status(thm)],[397])).
% 66.77/42.79 tff(399,plain,
% 66.77/42.79 (multiply(sk_c3, sk_c6) = multiply(sk_c2, sk_c6)),
% 66.77/42.79 inference(symmetry,[status(thm)],[398])).
% 66.77/42.79 tff(400,assumption,(~(multiply(sk_c3, sk_c6) = sk_c7)), introduced(assumption)).
% 66.77/42.79 tff(401,plain,
% 66.77/42.79 (((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 66.77/42.79 inference(rewrite,[status(thm)],[])).
% 66.77/42.79 tff(402,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 66.77/42.79 tff(403,plain,
% 66.77/42.79 ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 66.77/42.79 inference(modus_ponens,[status(thm)],[402, 401])).
% 66.77/42.79 tff(404,plain,
% 66.77/42.79 (multiply(sk_c2, sk_c7) = sk_c6),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[403, 400])).
% 66.77/42.79 tff(405,plain,
% 66.77/42.79 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c2, sk_c7)),
% 66.77/42.79 inference(monotonicity,[status(thm)],[326])).
% 66.77/42.79 tff(406,plain,
% 66.77/42.79 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c7)),
% 66.77/42.79 inference(transitivity,[status(thm)],[131, 134, 45, 307])).
% 66.77/42.79 tff(407,plain,
% 66.77/42.79 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(multiply(sk_c6, sk_c7), sk_c2)),
% 66.77/42.79 inference(monotonicity,[status(thm)],[406])).
% 66.77/42.79 tff(408,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 66.77/42.79 inference(symmetry,[status(thm)],[407])).
% 66.77/42.79 tff(409,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.77/42.79 inference(transitivity,[status(thm)],[314, 312, 225, 408, 11])).
% 66.77/42.79 tff(410,plain,
% 66.77/42.79 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.77/42.79 inference(monotonicity,[status(thm)],[409])).
% 66.77/42.79 tff(411,plain,
% 66.77/42.79 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 66.77/42.79 inference(transitivity,[status(thm)],[325, 407, 224, 340, 339])).
% 66.77/42.79 tff(412,plain,
% 66.77/42.79 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[411])).
% 66.77/42.79 tff(413,plain,
% 66.77/42.79 (multiply(sk_c6, identity) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.77/42.79 inference(transitivity,[status(thm)],[295, 225, 408, 11])).
% 66.77/42.79 tff(414,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[413])).
% 66.77/42.79 tff(415,plain,
% 66.77/42.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))))),
% 66.77/42.79 inference(quant_inst,[status(thm)],[])).
% 66.77/42.79 tff(416,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[415, 7])).
% 66.77/42.79 tff(417,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(symmetry,[status(thm)],[416])).
% 66.77/42.79 tff(418,plain,
% 66.77/42.79 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[345])).
% 66.77/42.79 tff(419,plain,
% 66.77/42.79 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(transitivity,[status(thm)],[418, 358, 357, 355, 352])).
% 66.77/42.79 tff(420,plain,
% 66.77/42.79 (multiply(identity, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[322, 419])).
% 66.77/42.79 tff(421,plain,
% 66.77/42.79 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(identity, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(symmetry,[status(thm)],[420])).
% 66.77/42.79 tff(422,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, identity), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[413])).
% 66.77/42.79 tff(423,plain,
% 66.77/42.79 (sk_c7 = multiply(identity, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.79 inference(transitivity,[status(thm)],[169, 309, 306, 304, 300, 422, 9, 418, 358, 421])).
% 66.77/42.79 tff(424,plain,
% 66.77/42.79 (((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))),
% 66.77/42.79 inference(rewrite,[status(thm)],[])).
% 66.77/42.79 tff(425,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')).
% 66.77/42.79 tff(426,plain,
% 66.77/42.79 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 66.77/42.79 inference(modus_ponens,[status(thm)],[425, 424])).
% 66.77/42.79 tff(427,plain,
% 66.77/42.79 (multiply(sk_c1, sk_c7) = sk_c6),
% 66.77/42.79 inference(unit_resolution,[status(thm)],[426, 400])).
% 66.77/42.79 tff(428,plain,
% 66.77/42.79 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.77/42.79 inference(monotonicity,[status(thm)],[427, 423])).
% 66.77/42.79 tff(429,plain,
% 66.77/42.79 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(identity, sk_c7)),
% 66.77/42.79 inference(symmetry,[status(thm)],[309])).
% 66.77/42.79 tff(430,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 66.77/42.79 inference(symmetry,[status(thm)],[306])).
% 66.77/42.79 tff(431,plain,
% 66.77/42.79 (multiply(sk_c6, multiply(identity, multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(symmetry,[status(thm)],[304])).
% 66.77/42.79 tff(432,plain,
% 66.77/42.79 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, identity), multiply(sk_c7, sk_c7))),
% 66.77/42.79 inference(symmetry,[status(thm)],[422])).
% 66.77/42.79 tff(433,plain,
% 66.77/42.80 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c2, multiply(sk_c7, sk_c7)))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))),
% 66.77/42.80 inference(symmetry,[status(thm)],[418])).
% 66.77/42.80 tff(434,plain,
% 66.77/42.80 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = sk_c7),
% 66.77/42.80 inference(transitivity,[status(thm)],[351, 354, 356, 349, 433, 333, 432, 299, 431, 430, 429, 63])).
% 66.77/42.80 tff(435,plain,
% 66.77/42.80 (sk_c6 = multiply(sk_c1, sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[427])).
% 66.77/42.80 tff(436,plain,
% 66.77/42.80 (multiply(multiply(sk_c6, identity), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[413])).
% 66.77/42.80 tff(437,plain,
% 66.77/42.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), sk_c7) = multiply(sk_c6, multiply(identity, sk_c7)))),
% 66.77/42.80 inference(quant_inst,[status(thm)],[])).
% 66.77/42.80 tff(438,plain,
% 66.77/42.80 (multiply(multiply(sk_c6, identity), sk_c7) = multiply(sk_c6, multiply(identity, sk_c7))),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[437, 7])).
% 66.77/42.80 tff(439,plain,
% 66.77/42.80 (multiply(sk_c6, multiply(identity, sk_c7)) = multiply(multiply(sk_c6, identity), sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[438])).
% 66.77/42.80 tff(440,plain,
% 66.77/42.80 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, multiply(identity, sk_c7))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[218, 169])).
% 66.77/42.80 tff(441,plain,
% 66.77/42.80 (multiply(sk_c7, sk_c3) = multiply(sk_c1, sk_c7)),
% 66.77/42.80 inference(transitivity,[status(thm)],[131, 134, 45, 440, 439, 436, 405, 404, 435])).
% 66.77/42.80 tff(442,plain,
% 66.77/42.80 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[441, 434])).
% 66.77/42.80 tff(443,plain,
% 66.77/42.80 (sk_c7 = sk_c6),
% 66.77/42.80 inference(transitivity,[status(thm)],[169, 309, 306, 304, 300, 422, 9, 418, 358, 442, 428, 417, 414, 412, 338, 336, 319, 410, 405, 404])).
% 66.77/42.80 tff(444,plain,
% 66.77/42.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c1), sk_c7) = multiply(sk_c3, multiply(sk_c1, sk_c7)))),
% 66.77/42.80 inference(quant_inst,[status(thm)],[])).
% 66.77/42.80 tff(445,plain,
% 66.77/42.80 (multiply(multiply(sk_c3, sk_c1), sk_c7) = multiply(sk_c3, multiply(sk_c1, sk_c7))),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[444, 7])).
% 66.77/42.80 tff(446,plain,
% 66.77/42.80 (multiply(sk_c3, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c3, sk_c1), sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[445])).
% 66.77/42.80 tff(447,plain,
% 66.77/42.80 (sk_c3 = multiply(identity, sk_c3)),
% 66.77/42.80 inference(symmetry,[status(thm)],[171])).
% 66.77/42.80 tff(448,plain,
% 66.77/42.80 (sk_c3 = sk_c2),
% 66.77/42.80 inference(transitivity,[status(thm)],[447, 389, 392, 395, 225, 408, 324, 321])).
% 66.77/42.80 tff(449,plain,
% 66.77/42.80 (multiply(sk_c3, multiply(sk_c1, sk_c7)) = multiply(sk_c2, sk_c6)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[448, 427])).
% 66.77/42.80 tff(450,plain,
% 66.77/42.80 (multiply(sk_c2, sk_c6) = multiply(sk_c3, multiply(sk_c1, sk_c7))),
% 66.77/42.80 inference(symmetry,[status(thm)],[449])).
% 66.77/42.80 tff(451,plain,
% 66.77/42.80 (multiply(sk_c2, sk_c6) = multiply(multiply(sk_c3, sk_c1), sk_c7)),
% 66.77/42.80 inference(transitivity,[status(thm)],[450, 446])).
% 66.77/42.80 tff(452,plain,
% 66.77/42.80 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(multiply(sk_c3, sk_c1), sk_c7) = sk_c6)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[451, 443])).
% 66.77/42.80 tff(453,plain,
% 66.77/42.80 ((multiply(multiply(sk_c3, sk_c1), sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[452])).
% 66.77/42.80 tff(454,plain,
% 66.77/42.80 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, identity) = identity)),
% 66.77/42.80 inference(quant_inst,[status(thm)],[])).
% 66.77/42.80 tff(455,plain,
% 66.77/42.80 (multiply(identity, identity) = identity),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[454, 40])).
% 66.77/42.80 tff(456,plain,
% 66.77/42.80 (multiply(sk_c6, multiply(identity, sk_c7)) = multiply(inverse(sk_c7), sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[440])).
% 66.77/42.80 tff(457,plain,
% 66.77/42.80 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(multiply(sk_c6, identity), sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[436])).
% 66.77/42.80 tff(458,plain,
% 66.77/42.80 (multiply(sk_c2, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[405])).
% 66.77/42.80 tff(459,plain,
% 66.77/42.80 (sk_c6 = multiply(sk_c2, sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[404])).
% 66.77/42.80 tff(460,plain,
% 66.77/42.80 (sk_c6 = identity),
% 66.77/42.80 inference(transitivity,[status(thm)],[459, 458, 457, 438, 456, 20])).
% 66.77/42.80 tff(461,plain,
% 66.77/42.80 (multiply(sk_c6, sk_c6) = multiply(identity, identity)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[460, 460])).
% 66.77/42.80 tff(462,plain,
% 66.77/42.80 (multiply(sk_c6, multiply(identity, sk_c6)) = multiply(sk_c6, sk_c6)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[42])).
% 66.77/42.80 tff(463,plain,
% 66.77/42.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), sk_c6) = multiply(sk_c6, multiply(identity, sk_c6)))),
% 66.77/42.80 inference(quant_inst,[status(thm)],[])).
% 66.77/42.80 tff(464,plain,
% 66.77/42.80 (multiply(multiply(sk_c6, identity), sk_c6) = multiply(sk_c6, multiply(identity, sk_c6))),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[463, 7])).
% 66.77/42.80 tff(465,plain,
% 66.77/42.80 (sk_c2 = multiply(sk_c6, identity)),
% 66.77/42.80 inference(transitivity,[status(thm)],[350, 323, 407, 224, 383])).
% 66.77/42.80 tff(466,plain,
% 66.77/42.80 (multiply(sk_c2, sk_c6) = multiply(multiply(sk_c6, identity), sk_c6)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[465])).
% 66.77/42.80 tff(467,plain,
% 66.77/42.80 (multiply(multiply(sk_c3, sk_c1), sk_c7) = sk_c6),
% 66.77/42.80 inference(transitivity,[status(thm)],[445, 449, 466, 464, 462, 461, 455, 45, 440, 439, 436, 405, 404])).
% 66.77/42.80 tff(468,plain,
% 66.77/42.80 (multiply(sk_c2, sk_c6) = sk_c7),
% 66.77/42.80 inference(modus_ponens,[status(thm)],[467, 453])).
% 66.77/42.80 tff(469,plain,
% 66.77/42.80 (multiply(sk_c3, sk_c6) = multiply(sk_c2, sk_c6)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[448])).
% 66.77/42.80 tff(470,plain,
% 66.77/42.80 ((multiply(sk_c3, sk_c6) = sk_c7) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[469])).
% 66.77/42.80 tff(471,plain,
% 66.77/42.80 ((~(multiply(sk_c3, sk_c6) = sk_c7)) <=> (~(multiply(sk_c2, sk_c6) = sk_c7))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[470])).
% 66.77/42.80 tff(472,plain,
% 66.77/42.80 (~(multiply(sk_c2, sk_c6) = sk_c7)),
% 66.77/42.80 inference(modus_ponens,[status(thm)],[400, 471])).
% 66.77/42.80 tff(473,plain,
% 66.77/42.80 ($false),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[472, 468])).
% 66.77/42.80 tff(474,plain,(multiply(sk_c3, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 66.77/42.80 tff(475,plain,
% 66.77/42.80 (sk_c7 = multiply(sk_c3, sk_c6)),
% 66.77/42.80 inference(symmetry,[status(thm)],[474])).
% 66.77/42.80 tff(476,plain,
% 66.77/42.80 (sk_c7 = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6)),
% 66.77/42.80 inference(transitivity,[status(thm)],[475, 399, 388])).
% 66.77/42.80 tff(477,plain,
% 66.77/42.80 (multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[476, 386])).
% 66.77/42.80 tff(478,plain,
% 66.77/42.80 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c7), sk_c7)),
% 66.77/42.80 inference(symmetry,[status(thm)],[382])).
% 66.77/42.80 tff(479,plain,
% 66.77/42.80 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[326, 478])).
% 66.77/42.80 tff(480,plain,
% 66.77/42.80 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c7, sk_c7)))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[479])).
% 66.77/42.80 tff(481,plain,
% 66.77/42.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c7, sk_c7)))))),
% 66.77/42.80 inference(quant_inst,[status(thm)],[])).
% 66.77/42.80 tff(482,plain,
% 66.77/42.80 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c7, sk_c7))))),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[481, 7])).
% 66.77/42.80 tff(483,plain,
% 66.77/42.80 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.80 inference(symmetry,[status(thm)],[327])).
% 66.77/42.80 tff(484,plain,
% 66.77/42.80 (identity = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.80 inference(transitivity,[status(thm)],[70, 483])).
% 66.77/42.80 tff(485,plain,
% 66.77/42.80 (multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[484])).
% 66.77/42.80 tff(486,plain,
% 66.77/42.80 (multiply(identity, multiply(multiply(sk_c7, sk_c7), sk_c7)) = multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[382])).
% 66.77/42.80 tff(487,plain,
% 66.77/42.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c7, sk_c7)), sk_c7) = multiply(identity, multiply(multiply(sk_c7, sk_c7), sk_c7)))),
% 66.77/42.80 inference(quant_inst,[status(thm)],[])).
% 66.77/42.80 tff(488,plain,
% 66.77/42.80 (multiply(multiply(identity, multiply(sk_c7, sk_c7)), sk_c7) = multiply(identity, multiply(multiply(sk_c7, sk_c7), sk_c7))),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[487, 7])).
% 66.77/42.80 tff(489,plain,
% 66.77/42.80 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(identity, multiply(sk_c7, sk_c7))),
% 66.77/42.80 inference(transitivity,[status(thm)],[334, 332, 329])).
% 66.77/42.80 tff(490,plain,
% 66.77/42.80 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))), sk_c7) = multiply(multiply(identity, multiply(sk_c7, sk_c7)), sk_c7)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[489])).
% 66.77/42.80 tff(491,plain,
% 66.77/42.80 (multiply(sk_c2, sk_c6) = sk_c7),
% 66.77/42.80 inference(transitivity,[status(thm)],[398, 474])).
% 66.77/42.80 tff(492,plain,
% 66.77/42.80 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.80 inference(transitivity,[status(thm)],[303, 370, 331, 369])).
% 66.77/42.80 tff(493,plain,
% 66.77/42.80 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))), sk_c7)),
% 66.77/42.80 inference(monotonicity,[status(thm)],[492, 491])).
% 66.77/42.80 tff(494,plain,
% 66.77/42.80 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)) = multiply(sk_c7, sk_c7)),
% 66.77/42.80 inference(transitivity,[status(thm)],[385, 380, 378, 375, 372, 302])).
% 66.77/42.80 tff(495,plain,
% 66.77/42.80 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c6))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[494, 387])).
% 66.77/42.80 tff(496,plain,
% 66.77/42.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6)))),
% 66.77/42.80 inference(quant_inst,[status(thm)],[])).
% 66.77/42.80 tff(497,plain,
% 66.77/42.80 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6))),
% 66.77/42.80 inference(unit_resolution,[status(thm)],[496, 7])).
% 66.77/42.80 tff(498,plain,
% 66.77/42.80 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.80 inference(monotonicity,[status(thm)],[494])).
% 66.77/42.80 tff(499,plain,
% 66.77/42.80 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.80 inference(symmetry,[status(thm)],[498])).
% 66.77/42.80 tff(500,plain,
% 66.77/42.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2)))))),
% 66.77/42.81 inference(quant_inst,[status(thm)],[])).
% 66.77/42.81 tff(501,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.77/42.81 inference(unit_resolution,[status(thm)],[500, 7])).
% 66.77/42.81 tff(502,plain,
% 66.77/42.81 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.81 inference(symmetry,[status(thm)],[501])).
% 66.77/42.81 tff(503,plain,
% 66.77/42.81 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(sk_c7, identity)),
% 66.77/42.81 inference(monotonicity,[status(thm)],[328])).
% 66.77/42.81 tff(504,plain,
% 66.77/42.81 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.77/42.81 inference(symmetry,[status(thm)],[503])).
% 66.77/42.81 tff(505,plain,
% 66.77/42.81 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 66.77/42.81 inference(monotonicity,[status(thm)],[308])).
% 66.77/42.81 tff(506,plain,
% 66.77/42.81 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, identity)),
% 66.77/42.81 inference(symmetry,[status(thm)],[505])).
% 66.77/42.81 tff(507,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(multiply(sk_c7, sk_c6), multiply(identity, sk_c7))),
% 66.77/42.81 inference(monotonicity,[status(thm)],[169])).
% 66.77/42.81 tff(508,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, sk_c6), multiply(identity, sk_c7)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 66.77/42.81 inference(symmetry,[status(thm)],[507])).
% 66.77/42.81 tff(509,plain,
% 66.77/42.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c6), identity), sk_c7) = multiply(multiply(sk_c7, sk_c6), multiply(identity, sk_c7)))),
% 66.77/42.81 inference(quant_inst,[status(thm)],[])).
% 66.77/42.81 tff(510,plain,
% 66.77/42.81 (multiply(multiply(multiply(sk_c7, sk_c6), identity), sk_c7) = multiply(multiply(sk_c7, sk_c6), multiply(identity, sk_c7))),
% 66.77/42.81 inference(unit_resolution,[status(thm)],[509, 7])).
% 66.77/42.81 tff(511,plain,
% 66.77/42.81 (multiply(sk_c6, identity) = sk_c2),
% 66.77/42.81 inference(transitivity,[status(thm)],[295, 225, 222, 324, 321])).
% 66.77/42.81 tff(512,plain,
% 66.77/42.81 (multiply(sk_c7, multiply(sk_c6, identity)) = multiply(inverse(sk_c2), sk_c2)),
% 66.77/42.81 inference(monotonicity,[status(thm)],[291, 511])).
% 66.77/42.81 tff(513,plain,
% 66.77/42.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), identity) = multiply(sk_c7, multiply(sk_c6, identity)))),
% 66.77/42.81 inference(quant_inst,[status(thm)],[])).
% 66.77/42.81 tff(514,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, sk_c6), identity) = multiply(sk_c7, multiply(sk_c6, identity))),
% 66.77/42.81 inference(unit_resolution,[status(thm)],[513, 7])).
% 66.77/42.81 tff(515,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, sk_c6), identity) = identity),
% 66.77/42.81 inference(transitivity,[status(thm)],[514, 512, 69])).
% 66.77/42.81 tff(516,plain,
% 66.77/42.81 (multiply(multiply(multiply(sk_c7, sk_c6), identity), sk_c7) = multiply(identity, sk_c7)),
% 66.77/42.81 inference(monotonicity,[status(thm)],[515])).
% 66.77/42.81 tff(517,plain,
% 66.77/42.81 (multiply(identity, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c6), identity), sk_c7)),
% 66.77/42.81 inference(symmetry,[status(thm)],[516])).
% 66.77/42.81 tff(518,plain,
% 66.77/42.81 (sk_c7 = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.81 inference(transitivity,[status(thm)],[169, 517, 510, 508, 100, 506, 504, 502, 499])).
% 66.77/42.81 tff(519,plain,
% 66.77/42.81 (multiply(sk_c7, sk_c6) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)), multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6)),
% 66.77/42.81 inference(monotonicity,[status(thm)],[518])).
% 66.77/42.81 tff(520,plain,
% 66.77/42.81 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.77/42.81 inference(transitivity,[status(thm)],[519, 497, 495, 493, 490, 488, 486, 485, 482, 480, 477, 368, 366, 343, 338, 336, 319, 316])).
% 66.77/42.81 tff(521,plain,
% 66.77/42.81 ((multiply(sk_c7, sk_c6) = sk_c7) <=> (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.81 inference(monotonicity,[status(thm)],[520, 310])).
% 66.77/42.81 tff(522,plain,
% 66.77/42.81 ((multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 66.77/42.81 inference(symmetry,[status(thm)],[521])).
% 66.77/42.81 tff(523,plain,
% 66.77/42.81 (sk_c2 = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.77/42.81 inference(transitivity,[status(thm)],[350, 323, 11])).
% 66.77/42.81 tff(524,plain,
% 66.77/42.81 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, identity))),
% 66.77/42.81 inference(monotonicity,[status(thm)],[523, 384])).
% 66.77/42.81 tff(525,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, identity)) = multiply(sk_c2, sk_c2)),
% 66.77/42.81 inference(symmetry,[status(thm)],[524])).
% 66.77/42.81 tff(526,plain,
% 66.77/42.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), identity) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, identity)))),
% 66.77/42.81 inference(quant_inst,[status(thm)],[])).
% 66.77/42.81 tff(527,plain,
% 66.77/42.81 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), identity) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, identity))),
% 66.77/42.81 inference(unit_resolution,[status(thm)],[526, 7])).
% 66.77/42.81 tff(528,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6) = sk_c7),
% 66.77/42.81 inference(transitivity,[status(thm)],[387, 398, 474])).
% 66.77/42.81 tff(529,plain,
% 66.77/42.81 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), identity) = multiply(sk_c7, identity)),
% 66.77/42.81 inference(monotonicity,[status(thm)],[528])).
% 66.77/42.81 tff(530,plain,
% 66.77/42.81 (multiply(sk_c7, identity) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), identity)),
% 66.77/42.81 inference(symmetry,[status(thm)],[529])).
% 66.77/42.81 tff(531,plain,
% 66.77/42.81 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, identity), multiply(sk_c7, sk_c7))),
% 66.77/42.81 inference(symmetry,[status(thm)],[297])).
% 66.77/42.81 tff(532,plain,
% 66.77/42.81 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(sk_c2, sk_c2)),
% 66.77/42.81 inference(transitivity,[status(thm)],[333, 531, 299, 431, 430, 429, 517, 510, 508, 100, 506, 530, 527, 525])).
% 66.77/42.81 tff(533,plain,
% 66.77/42.81 ((multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) <=> (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c2, sk_c2))),
% 66.77/42.81 inference(monotonicity,[status(thm)],[532])).
% 66.77/42.81 tff(534,plain,
% 66.77/42.81 ((multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c2, sk_c2)) <=> (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.77/42.81 inference(symmetry,[status(thm)],[533])).
% 66.77/42.81 tff(535,plain,
% 66.77/42.81 (multiply(sk_c3, sk_c2) = multiply(multiply(identity, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.81 inference(monotonicity,[status(thm)],[447, 523])).
% 66.77/42.81 tff(536,plain,
% 66.77/42.81 (multiply(multiply(identity, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c3, sk_c2)),
% 66.77/42.81 inference(symmetry,[status(thm)],[535])).
% 66.77/42.81 tff(537,plain,
% 66.77/42.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))))),
% 66.77/42.81 inference(quant_inst,[status(thm)],[])).
% 66.77/42.81 tff(538,plain,
% 66.77/42.81 (multiply(multiply(identity, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.77/42.81 inference(unit_resolution,[status(thm)],[537, 7])).
% 66.77/42.81 tff(539,plain,
% 66.77/42.81 (multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(multiply(identity, sk_c3), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.77/42.81 inference(symmetry,[status(thm)],[538])).
% 66.77/42.81 tff(540,plain,
% 66.77/42.81 (multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.77/42.81 inference(monotonicity,[status(thm)],[308])).
% 66.80/42.81 tff(541,plain,
% 66.80/42.81 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.80/42.81 inference(symmetry,[status(thm)],[540])).
% 66.80/42.81 tff(542,plain,
% 66.80/42.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))))),
% 66.80/42.81 inference(quant_inst,[status(thm)],[])).
% 66.80/42.81 tff(543,plain,
% 66.80/42.81 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))))),
% 66.80/42.81 inference(unit_resolution,[status(thm)],[542, 7])).
% 66.80/42.81 tff(544,plain,
% 66.80/42.81 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.80/42.81 inference(symmetry,[status(thm)],[543])).
% 66.80/42.81 tff(545,plain,
% 66.80/42.81 (multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 66.80/42.81 inference(monotonicity,[status(thm)],[322, 326])).
% 66.80/42.81 tff(546,plain,
% 66.80/42.81 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.81 inference(symmetry,[status(thm)],[545])).
% 66.80/42.81 tff(547,plain,
% 66.80/42.81 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c3, sk_c2)),
% 66.80/42.81 inference(monotonicity,[status(thm)],[326])).
% 66.80/42.81 tff(548,plain,
% 66.80/42.81 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.80/42.81 inference(monotonicity,[status(thm)],[547])).
% 66.80/42.81 tff(549,plain,
% 66.80/42.81 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.81 inference(transitivity,[status(thm)],[548, 325, 546])).
% 66.80/42.81 tff(550,plain,
% 66.80/42.81 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2))))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.80/42.81 inference(monotonicity,[status(thm)],[549])).
% 66.80/42.81 tff(551,plain,
% 66.80/42.81 (multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c2)))))),
% 66.80/42.81 inference(symmetry,[status(thm)],[550])).
% 66.80/42.81 tff(552,plain,
% 66.80/42.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))))),
% 66.80/42.81 inference(quant_inst,[status(thm)],[])).
% 66.80/42.81 tff(553,plain,
% 66.80/42.81 (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.80/42.81 inference(unit_resolution,[status(thm)],[552, 7])).
% 66.80/42.81 tff(554,plain,
% 66.80/42.81 (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c2, sk_c2)),
% 66.80/42.81 inference(monotonicity,[status(thm)],[511, 326])).
% 66.80/42.81 tff(555,plain,
% 66.80/42.81 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.81 inference(symmetry,[status(thm)],[554])).
% 66.80/42.81 tff(556,plain,
% 66.80/42.81 (multiply(sk_c2, sk_c2) = multiply(sk_c3, sk_c2)),
% 66.80/42.81 inference(transitivity,[status(thm)],[555, 553, 551, 544, 541, 539, 536])).
% 66.80/42.81 tff(557,plain,
% 66.80/42.81 (multiply(sk_c2, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.80/42.81 inference(monotonicity,[status(thm)],[523])).
% 66.80/42.81 tff(558,plain,
% 66.80/42.81 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c2, sk_c7)),
% 66.80/42.81 inference(symmetry,[status(thm)],[557])).
% 66.80/42.81 tff(559,plain,
% 66.80/42.81 ((multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c2, sk_c2)) <=> (multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))),
% 66.80/42.81 inference(monotonicity,[status(thm)],[558, 556])).
% 66.80/42.81 tff(560,plain,
% 66.80/42.82 ((multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2)) <=> (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c2, sk_c2))),
% 66.80/42.82 inference(symmetry,[status(thm)],[559])).
% 66.80/42.82 tff(561,plain,
% 66.80/42.82 ((multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2)) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 66.80/42.82 inference(transitivity,[status(thm)],[560, 534, 522])).
% 66.80/42.82 tff(562,plain,
% 66.80/42.82 ((~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) <=> (~(multiply(sk_c7, sk_c6) = sk_c7))),
% 66.80/42.82 inference(monotonicity,[status(thm)],[561])).
% 66.80/42.82 tff(563,plain,
% 66.80/42.82 (multiply(sk_c7, sk_c3) = identity),
% 66.80/42.82 inference(transitivity,[status(thm)],[131, 134])).
% 66.80/42.82 tff(564,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, sk_c3), sk_c2) = multiply(identity, multiply(sk_c6, identity))),
% 66.80/42.82 inference(monotonicity,[status(thm)],[563, 384])).
% 66.80/42.82 tff(565,plain,
% 66.80/42.82 (multiply(identity, multiply(sk_c6, identity)) = multiply(multiply(sk_c7, sk_c3), sk_c2)),
% 66.80/42.82 inference(symmetry,[status(thm)],[564])).
% 66.80/42.82 tff(566,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), identity) = multiply(identity, multiply(sk_c6, identity)))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(567,plain,
% 66.80/42.82 (multiply(multiply(identity, sk_c6), identity) = multiply(identity, multiply(sk_c6, identity))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[566, 7])).
% 66.80/42.82 tff(568,plain,
% 66.80/42.82 (identity = multiply(identity, identity)),
% 66.80/42.82 inference(symmetry,[status(thm)],[455])).
% 66.80/42.82 tff(569,plain,
% 66.80/42.82 (multiply(multiply(identity, sk_c6), identity) = multiply(multiply(identity, sk_c6), multiply(identity, identity))),
% 66.80/42.82 inference(monotonicity,[status(thm)],[568])).
% 66.80/42.82 tff(570,plain,
% 66.80/42.82 (multiply(multiply(identity, sk_c6), multiply(identity, identity)) = multiply(multiply(identity, sk_c6), identity)),
% 66.80/42.82 inference(symmetry,[status(thm)],[569])).
% 66.80/42.82 tff(571,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(identity, sk_c6), identity), identity) = multiply(multiply(identity, sk_c6), multiply(identity, identity)))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(572,plain,
% 66.80/42.82 (multiply(multiply(multiply(identity, sk_c6), identity), identity) = multiply(multiply(identity, sk_c6), multiply(identity, identity))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[571, 7])).
% 66.80/42.82 tff(573,plain,
% 66.80/42.82 (multiply(multiply(identity, sk_c6), identity) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.80/42.82 inference(transitivity,[status(thm)],[567, 565, 11])).
% 66.80/42.82 tff(574,plain,
% 66.80/42.82 (multiply(multiply(multiply(identity, sk_c6), identity), identity) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[573])).
% 66.80/42.82 tff(575,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity) = multiply(multiply(multiply(identity, sk_c6), identity), identity)),
% 66.80/42.82 inference(symmetry,[status(thm)],[574])).
% 66.80/42.82 tff(576,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, sk_c7))),
% 66.80/42.82 inference(monotonicity,[status(thm)],[308])).
% 66.80/42.82 tff(577,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity)),
% 66.80/42.82 inference(symmetry,[status(thm)],[576])).
% 66.80/42.82 tff(578,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, sk_c7)))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(579,plain,
% 66.80/42.82 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, sk_c7))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[578, 7])).
% 66.80/42.82 tff(580,plain,
% 66.80/42.82 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(identity, sk_c7)) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), sk_c7)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[63])).
% 66.80/42.82 tff(581,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(identity, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(identity, sk_c7))))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(582,plain,
% 66.80/42.82 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(identity, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(identity, sk_c7)))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[581, 7])).
% 66.80/42.82 tff(583,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(identity, sk_c7))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(identity, sk_c7))),
% 66.80/42.82 inference(symmetry,[status(thm)],[582])).
% 66.80/42.82 tff(584,plain,
% 66.80/42.82 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = multiply(sk_c6, identity)),
% 66.80/42.82 inference(transitivity,[status(thm)],[325, 341, 224, 383])).
% 66.80/42.82 tff(585,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(multiply(sk_c6, identity), sk_c7)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[584])).
% 66.80/42.82 tff(586,plain,
% 66.80/42.82 (multiply(multiply(identity, sk_c2), sk_c7) = multiply(sk_c2, sk_c7)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[321])).
% 66.80/42.82 tff(587,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c2), sk_c7) = multiply(identity, multiply(sk_c2, sk_c7)))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(588,plain,
% 66.80/42.82 (multiply(multiply(identity, sk_c2), sk_c7) = multiply(identity, multiply(sk_c2, sk_c7))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[587, 7])).
% 66.80/42.82 tff(589,plain,
% 66.80/42.82 (multiply(identity, multiply(sk_c2, sk_c7)) = multiply(multiply(identity, sk_c2), sk_c7)),
% 66.80/42.82 inference(symmetry,[status(thm)],[588])).
% 66.80/42.82 tff(590,plain,
% 66.80/42.82 (multiply(identity, multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(identity, sk_c7))),
% 66.80/42.82 inference(transitivity,[status(thm)],[589, 586, 557, 585, 438])).
% 66.80/42.82 tff(591,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(identity, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(identity, sk_c7)))),
% 66.80/42.82 inference(monotonicity,[status(thm)],[590])).
% 66.80/42.82 tff(592,plain,
% 66.80/42.82 (multiply(sk_c2, sk_c7) = multiply(multiply(identity, sk_c2), sk_c7)),
% 66.80/42.82 inference(symmetry,[status(thm)],[586])).
% 66.80/42.82 tff(593,plain,
% 66.80/42.82 (multiply(sk_c2, sk_c7) = multiply(identity, multiply(sk_c2, sk_c7))),
% 66.80/42.82 inference(transitivity,[status(thm)],[592, 588])).
% 66.80/42.82 tff(594,plain,
% 66.80/42.82 (sk_c3 = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.80/42.82 inference(transitivity,[status(thm)],[447, 389, 392, 395, 225, 222, 11])).
% 66.80/42.82 tff(595,plain,
% 66.80/42.82 (multiply(sk_c3, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(identity, multiply(sk_c2, sk_c7)))),
% 66.80/42.82 inference(monotonicity,[status(thm)],[594, 593])).
% 66.80/42.82 tff(596,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(sk_c3, multiply(sk_c2, sk_c7)))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(597,plain,
% 66.80/42.82 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(sk_c3, multiply(sk_c2, sk_c7))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[596, 7])).
% 66.80/42.82 tff(598,plain,
% 66.80/42.82 (multiply(multiply(sk_c3, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.80/42.82 inference(transitivity,[status(thm)],[597, 595, 591, 583, 580, 579, 577, 575, 572, 570, 567, 565, 11])).
% 66.80/42.82 tff(599,plain,
% 66.80/42.82 ((multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6) <=> (multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[598])).
% 66.80/42.82 tff(600,plain,
% 66.80/42.82 ((multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6) <=> (multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)),
% 66.80/42.82 inference(symmetry,[status(thm)],[599])).
% 66.80/42.82 tff(601,plain,
% 66.80/42.82 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[528])).
% 66.80/42.82 tff(602,plain,
% 66.80/42.82 (multiply(sk_c7, sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), sk_c7)),
% 66.80/42.82 inference(symmetry,[status(thm)],[601])).
% 66.80/42.82 tff(603,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, sk_c7)), sk_c7) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(604,plain,
% 66.80/42.82 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c7)), sk_c7) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[603, 7])).
% 66.80/42.82 tff(605,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c7)), sk_c7)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[360])).
% 66.80/42.82 tff(606,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c2))),
% 66.80/42.82 inference(transitivity,[status(thm)],[605, 604, 385, 380, 378, 375, 372, 302, 602, 579, 577, 575, 572, 570, 567, 565, 11])).
% 66.80/42.82 tff(607,plain,
% 66.80/42.82 ((multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c7) = sk_c6) <=> (multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[606])).
% 66.80/42.82 tff(608,plain,
% 66.80/42.82 ((multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c7) = sk_c6) <=> (multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)),
% 66.80/42.82 inference(transitivity,[status(thm)],[607, 600])).
% 66.80/42.82 tff(609,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6) = multiply(identity, sk_c6)),
% 66.80/42.82 inference(monotonicity,[status(thm)],[328])).
% 66.80/42.82 tff(610,plain,
% 66.80/42.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6)))),
% 66.80/42.82 inference(quant_inst,[status(thm)],[])).
% 66.80/42.82 tff(611,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6))),
% 66.80/42.82 inference(unit_resolution,[status(thm)],[610, 7])).
% 66.80/42.82 tff(612,plain,
% 66.80/42.82 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6)),
% 66.80/42.82 inference(symmetry,[status(thm)],[611])).
% 66.80/42.82 tff(613,plain,
% 66.80/42.82 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6))),
% 66.80/42.82 inference(monotonicity,[status(thm)],[476])).
% 66.80/42.82 tff(614,plain,
% 66.80/42.82 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c7) = sk_c6),
% 66.80/42.82 inference(transitivity,[status(thm)],[605, 604, 385, 380, 378, 375, 372, 302, 613, 612, 609, 42])).
% 66.80/42.82 tff(615,plain,
% 66.80/42.82 (multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6),
% 66.80/42.82 inference(modus_ponens,[status(thm)],[614, 608])).
% 66.80/42.82 tff(616,plain,
% 66.80/42.82 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6),
% 66.80/42.82 inference(modus_ponens,[status(thm)],[614, 607])).
% 66.80/42.82 tff(617,plain,
% 66.80/42.82 ((multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c7, sk_c7)) <=> (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.80/42.82 inference(commutativity,[status(thm)],[])).
% 66.80/42.82 tff(618,plain,
% 66.80/42.82 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6)) = multiply(sk_c7, sk_c7)),
% 66.80/42.82 inference(symmetry,[status(thm)],[613])).
% 66.80/42.82 tff(619,plain,
% 66.80/42.82 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c6)),
% 66.80/42.82 inference(symmetry,[status(thm)],[609])).
% 66.80/42.82 tff(620,assumption,(~(multiply(sk_c2, sk_c7) = sk_c6)), introduced(assumption)).
% 66.80/42.82 tff(621,plain,
% 66.80/42.82 (((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6))),
% 66.80/42.83 inference(rewrite,[status(thm)],[])).
% 66.80/42.83 tff(622,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 66.80/42.83 tff(623,plain,
% 66.80/42.83 ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c5) = sk_c6)),
% 66.80/42.83 inference(modus_ponens,[status(thm)],[622, 621])).
% 66.80/42.83 tff(624,plain,
% 66.80/42.83 (multiply(sk_c7, sk_c5) = sk_c6),
% 66.80/42.83 inference(unit_resolution,[status(thm)],[623, 620])).
% 66.80/42.83 tff(625,plain,
% 66.80/42.83 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = sk_c7),
% 66.80/42.83 inference(transitivity,[status(thm)],[333, 531, 299, 431, 430, 429, 63])).
% 66.80/42.83 tff(626,plain,
% 66.80/42.83 (multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c4, sk_c7)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[625])).
% 66.80/42.83 tff(627,plain,
% 66.80/42.83 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.80/42.83 inference(symmetry,[status(thm)],[626])).
% 66.80/42.83 tff(628,plain,
% 66.80/42.83 (((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)) <=> ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5))),
% 66.80/42.83 inference(rewrite,[status(thm)],[])).
% 66.80/42.83 tff(629,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 66.80/42.83 tff(630,plain,
% 66.80/42.83 ((multiply(sk_c2, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c5)),
% 66.80/42.83 inference(modus_ponens,[status(thm)],[629, 628])).
% 66.80/42.83 tff(631,plain,
% 66.80/42.83 (multiply(sk_c4, sk_c7) = sk_c5),
% 66.80/42.83 inference(unit_resolution,[status(thm)],[630, 620])).
% 66.80/42.83 tff(632,plain,
% 66.80/42.83 (sk_c5 = multiply(sk_c4, sk_c7)),
% 66.80/42.83 inference(symmetry,[status(thm)],[631])).
% 66.80/42.83 tff(633,plain,
% 66.80/42.83 (sk_c5 = multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.80/42.83 inference(transitivity,[status(thm)],[632, 627])).
% 66.80/42.83 tff(634,plain,
% 66.80/42.83 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.80/42.83 inference(monotonicity,[status(thm)],[310, 633])).
% 66.80/42.83 tff(635,plain,
% 66.80/42.83 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(sk_c7, sk_c5)),
% 66.80/42.83 inference(symmetry,[status(thm)],[634])).
% 66.80/42.83 tff(636,plain,
% 66.80/42.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c4), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))))),
% 66.80/42.83 inference(quant_inst,[status(thm)],[])).
% 66.80/42.83 tff(637,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c4), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.80/42.83 inference(unit_resolution,[status(thm)],[636, 7])).
% 66.80/42.83 tff(638,plain,
% 66.80/42.83 (multiply(multiply(sk_c2, sk_c6), identity) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), identity)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[388])).
% 66.80/42.83 tff(639,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), identity) = multiply(multiply(sk_c2, sk_c6), identity)),
% 66.80/42.83 inference(symmetry,[status(thm)],[638])).
% 66.80/42.83 tff(640,plain,
% 66.80/42.83 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, identity)) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), identity)),
% 66.80/42.83 inference(symmetry,[status(thm)],[527])).
% 66.80/42.83 tff(641,plain,
% 66.80/42.83 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c2, sk_c6), identity)),
% 66.80/42.83 inference(transitivity,[status(thm)],[524, 640, 639])).
% 66.80/42.83 tff(642,plain,
% 66.80/42.83 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c6), identity), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.83 inference(monotonicity,[status(thm)],[641])).
% 66.80/42.83 tff(643,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c2, sk_c6), identity), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.83 inference(symmetry,[status(thm)],[642])).
% 66.80/42.83 tff(644,plain,
% 66.80/42.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c6), identity), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c2, sk_c6), multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))))),
% 66.80/42.83 inference(quant_inst,[status(thm)],[])).
% 66.80/42.83 tff(645,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c2, sk_c6), identity), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c2, sk_c6), multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.80/42.83 inference(unit_resolution,[status(thm)],[644, 7])).
% 66.80/42.83 tff(646,plain,
% 66.80/42.83 (multiply(multiply(sk_c2, sk_c6), multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c6), identity), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.83 inference(symmetry,[status(thm)],[645])).
% 66.80/42.83 tff(647,plain,
% 66.80/42.83 (multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))) = sk_c2),
% 66.80/42.83 inference(transitivity,[status(thm)],[545, 324, 321])).
% 66.80/42.83 tff(648,plain,
% 66.80/42.83 (multiply(sk_c2, sk_c6) = inverse(sk_c2)),
% 66.80/42.83 inference(transitivity,[status(thm)],[398, 474, 291])).
% 66.80/42.83 tff(649,plain,
% 66.80/42.83 (multiply(multiply(sk_c2, sk_c6), multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(inverse(sk_c2), sk_c2)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[648, 647])).
% 66.80/42.83 tff(650,plain,
% 66.80/42.83 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c2, sk_c6), multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.80/42.83 inference(symmetry,[status(thm)],[649])).
% 66.80/42.83 tff(651,plain,
% 66.80/42.83 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 66.80/42.83 inference(rewrite,[status(thm)],[])).
% 66.80/42.83 tff(652,plain,
% 66.80/42.83 (((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6))),
% 66.80/42.83 inference(rewrite,[status(thm)],[])).
% 66.80/42.83 tff(653,axiom,((multiply(sk_c2, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 66.80/42.83 tff(654,plain,
% 66.80/42.83 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 66.80/42.83 inference(modus_ponens,[status(thm)],[653, 652])).
% 66.80/42.83 tff(655,plain,
% 66.80/42.83 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c6)),
% 66.80/42.83 inference(modus_ponens,[status(thm)],[654, 651])).
% 66.80/42.83 tff(656,plain,
% 66.80/42.83 (inverse(sk_c4) = sk_c7),
% 66.80/42.83 inference(unit_resolution,[status(thm)],[655, 620])).
% 66.80/42.83 tff(657,plain,
% 66.80/42.83 (sk_c7 = inverse(sk_c4)),
% 66.80/42.83 inference(symmetry,[status(thm)],[656])).
% 66.80/42.83 tff(658,plain,
% 66.80/42.83 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = inverse(sk_c4)),
% 66.80/42.83 inference(transitivity,[status(thm)],[333, 531, 299, 431, 430, 429, 63, 657])).
% 66.80/42.83 tff(659,plain,
% 66.80/42.83 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[658])).
% 66.80/42.83 tff(660,plain,
% 66.80/42.83 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c4) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.83 inference(transitivity,[status(thm)],[659, 165, 70, 650, 646, 643])).
% 66.80/42.83 tff(661,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c4), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[660, 625])).
% 66.80/42.83 tff(662,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c4), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.80/42.83 inference(symmetry,[status(thm)],[661])).
% 66.80/42.83 tff(663,plain,
% 66.80/42.83 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c2, sk_c2)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[326, 326])).
% 66.80/42.83 tff(664,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.83 inference(monotonicity,[status(thm)],[663])).
% 66.80/42.83 tff(665,plain,
% 66.80/42.83 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.80/42.83 inference(symmetry,[status(thm)],[664])).
% 66.80/42.83 tff(666,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7) = multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.80/42.83 inference(monotonicity,[status(thm)],[665, 310])).
% 66.80/42.83 tff(667,plain,
% 66.80/42.83 (multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))), sk_c7)),
% 66.80/42.83 inference(symmetry,[status(thm)],[666])).
% 66.80/42.83 tff(668,plain,
% 66.80/42.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))))),
% 66.80/42.83 inference(quant_inst,[status(thm)],[])).
% 66.80/42.83 tff(669,plain,
% 66.80/42.83 (multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.80/42.83 inference(unit_resolution,[status(thm)],[668, 7])).
% 66.80/42.83 tff(670,plain,
% 66.80/42.83 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.80/42.83 inference(symmetry,[status(thm)],[669])).
% 66.80/42.83 tff(671,plain,
% 66.80/42.83 (multiply(multiply(sk_c6, identity), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[296])).
% 66.80/42.83 tff(672,plain,
% 66.80/42.83 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(multiply(sk_c6, identity), sk_c7)),
% 66.80/42.83 inference(symmetry,[status(thm)],[671])).
% 66.80/42.83 tff(673,plain,
% 66.80/42.83 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), sk_c7)),
% 66.80/42.83 inference(monotonicity,[status(thm)],[342])).
% 66.83/42.84 tff(674,plain,
% 66.83/42.84 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7)),
% 66.83/42.84 inference(symmetry,[status(thm)],[673])).
% 66.83/42.84 tff(675,plain,
% 66.83/42.84 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.83/42.84 inference(monotonicity,[status(thm)],[492])).
% 66.83/42.84 tff(676,plain,
% 66.83/42.84 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, sk_c7))),
% 66.83/42.84 inference(symmetry,[status(thm)],[675])).
% 66.83/42.84 tff(677,plain,
% 66.83/42.84 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.83/42.84 inference(monotonicity,[status(thm)],[315])).
% 66.83/42.84 tff(678,plain,
% 66.83/42.84 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.83/42.84 inference(symmetry,[status(thm)],[677])).
% 66.83/42.84 tff(679,plain,
% 66.83/42.84 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = identity),
% 66.83/42.84 inference(transitivity,[status(thm)],[678, 338, 676, 319, 674, 672, 438, 456, 20])).
% 66.83/42.84 tff(680,plain,
% 66.83/42.84 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), identity)),
% 66.83/42.84 inference(monotonicity,[status(thm)],[679])).
% 66.83/42.84 tff(681,plain,
% 66.83/42.84 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), identity) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.83/42.84 inference(symmetry,[status(thm)],[680])).
% 66.83/42.84 tff(682,plain,
% 66.83/42.84 (multiply(sk_c7, multiply(sk_c3, sk_c2)) = multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.84 inference(transitivity,[status(thm)],[325, 546])).
% 66.83/42.84 tff(683,plain,
% 66.83/42.84 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.83/42.84 inference(monotonicity,[status(thm)],[682])).
% 66.83/42.84 tff(684,plain,
% 66.83/42.84 (multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.84 inference(symmetry,[status(thm)],[683])).
% 66.83/42.84 tff(685,plain,
% 66.83/42.84 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.84 inference(transitivity,[status(thm)],[663, 555, 553, 684])).
% 66.83/42.84 tff(686,plain,
% 66.83/42.84 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), identity) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2))), identity)),
% 66.83/42.84 inference(monotonicity,[status(thm)],[685])).
% 66.83/42.84 tff(687,plain,
% 66.83/42.84 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2))), identity) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), identity)),
% 66.83/42.84 inference(symmetry,[status(thm)],[686])).
% 66.83/42.84 tff(688,plain,
% 66.83/42.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2))), identity) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity)))),
% 66.83/42.84 inference(quant_inst,[status(thm)],[])).
% 66.83/42.84 tff(689,plain,
% 66.83/42.84 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2))), identity) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity))),
% 66.83/42.84 inference(unit_resolution,[status(thm)],[688, 7])).
% 66.83/42.84 tff(690,plain,
% 66.83/42.84 (multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity)) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c2))), identity)),
% 66.83/42.84 inference(symmetry,[status(thm)],[689])).
% 66.83/42.84 tff(691,plain,
% 66.83/42.84 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity) = multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.84 inference(transitivity,[status(thm)],[575, 572, 570, 567, 565, 546])).
% 66.83/42.84 tff(692,plain,
% 66.83/42.84 (multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity)) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.83/42.84 inference(monotonicity,[status(thm)],[691])).
% 66.83/42.84 tff(693,plain,
% 66.83/42.84 (multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(sk_c6, multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), identity))),
% 66.83/42.84 inference(symmetry,[status(thm)],[692])).
% 66.83/42.84 tff(694,plain,
% 66.83/42.84 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(sk_c7, sk_c7)),
% 66.83/42.84 inference(transitivity,[status(thm)],[333, 531, 299, 431, 430, 429, 517, 510, 508, 100, 506, 530, 527, 525, 555, 553, 693, 690, 687, 681, 670, 667, 662, 637, 635, 624, 106, 619, 611, 618])).
% 66.83/42.84 tff(695,plain,
% 66.83/42.84 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.84 inference(transitivity,[status(thm)],[672, 438, 456, 20, 70, 650, 646, 643])).
% 66.83/42.84 tff(696,plain,
% 66.83/42.84 ((multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) <=> (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c7, sk_c7))),
% 66.83/42.84 inference(monotonicity,[status(thm)],[695, 694])).
% 66.83/42.84 tff(697,plain,
% 66.83/42.84 ((multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) <=> (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.83/42.84 inference(transitivity,[status(thm)],[696, 617])).
% 66.83/42.84 tff(698,plain,
% 66.83/42.84 ((multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))) <=> (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.83/42.84 inference(symmetry,[status(thm)],[697])).
% 66.83/42.84 tff(699,plain,
% 66.83/42.84 ((~(multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))))) <=> (~(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.83/42.84 inference(monotonicity,[status(thm)],[698])).
% 66.83/42.84 tff(700,plain,
% 66.83/42.84 (sk_c6 = multiply(sk_c7, sk_c7)),
% 66.83/42.84 inference(transitivity,[status(thm)],[106, 619, 611, 618])).
% 66.83/42.84 tff(701,plain,
% 66.83/42.84 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c6, sk_c6), sk_c7)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.84 inference(monotonicity,[status(thm)],[663, 315])).
% 66.83/42.84 tff(702,plain,
% 66.83/42.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c6, sk_c6), sk_c7)))),
% 66.83/42.84 inference(quant_inst,[status(thm)],[])).
% 66.83/42.84 tff(703,plain,
% 66.83/42.84 (multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c6, sk_c6), sk_c7))),
% 66.83/42.85 inference(unit_resolution,[status(thm)],[702, 7])).
% 66.83/42.85 tff(704,plain,
% 66.83/42.85 (multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.85 inference(transitivity,[status(thm)],[703, 701])).
% 66.83/42.85 tff(705,plain,
% 66.83/42.85 ((multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7) = sk_c6) <=> (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(sk_c7, sk_c7))),
% 66.83/42.85 inference(monotonicity,[status(thm)],[704, 700])).
% 66.83/42.85 tff(706,plain,
% 66.83/42.85 ((multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.83/42.85 inference(transitivity,[status(thm)],[705, 617])).
% 66.83/42.85 tff(707,plain,
% 66.83/42.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c6, sk_c6), sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7)),
% 66.83/42.85 inference(symmetry,[status(thm)],[703])).
% 66.83/42.85 tff(708,plain,
% 66.83/42.85 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(multiply(sk_c6, sk_c6), sk_c7))),
% 66.83/42.85 inference(symmetry,[status(thm)],[701])).
% 66.83/42.85 tff(709,plain,
% 66.83/42.85 (multiply(sk_c6, sk_c7) = multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7)),
% 66.83/42.85 inference(transitivity,[status(thm)],[220, 20, 70, 650, 646, 643, 708, 707])).
% 66.83/42.85 tff(710,plain,
% 66.83/42.85 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(sk_c3, sk_c2))), multiply(sk_c6, sk_c6)), sk_c7) = sk_c6)),
% 66.83/42.85 inference(monotonicity,[status(thm)],[709])).
% 66.83/42.85 tff(711,plain,
% 66.83/42.85 (multiply(sk_c2, sk_c7) = multiply(sk_c6, sk_c7)),
% 66.83/42.85 inference(transitivity,[status(thm)],[557, 672, 438, 456, 307])).
% 66.83/42.85 tff(712,plain,
% 66.83/42.85 ((multiply(sk_c2, sk_c7) = sk_c6) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 66.83/42.85 inference(monotonicity,[status(thm)],[711])).
% 66.83/42.85 tff(713,plain,
% 66.83/42.85 ((multiply(sk_c2, sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.83/42.85 inference(transitivity,[status(thm)],[712, 710, 706])).
% 66.83/42.85 tff(714,plain,
% 66.83/42.85 ((~(multiply(sk_c2, sk_c7) = sk_c6)) <=> (~(multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2)))))),
% 66.83/42.85 inference(monotonicity,[status(thm)],[713])).
% 66.83/42.85 tff(715,plain,
% 66.83/42.85 (~(multiply(sk_c7, sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c3, sk_c2))))),
% 66.83/42.85 inference(modus_ponens,[status(thm)],[620, 714])).
% 66.83/42.85 tff(716,plain,
% 66.83/42.85 (~(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.83/42.85 inference(modus_ponens,[status(thm)],[715, 699])).
% 66.83/42.85 tff(717,plain,
% 66.83/42.85 (multiply(multiply(sk_c7, sk_c6), multiply(identity, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c6), identity), sk_c7)),
% 66.83/42.85 inference(symmetry,[status(thm)],[510])).
% 66.83/42.85 tff(718,plain,
% 66.83/42.85 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 66.83/42.85 inference(symmetry,[status(thm)],[100])).
% 66.83/42.85 tff(719,plain,
% 66.83/42.85 (multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c3, sk_c2)))) = multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c3, sk_c2)))),
% 66.83/42.85 inference(symmetry,[status(thm)],[553])).
% 66.83/42.85 tff(720,plain,
% 66.83/42.85 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), multiply(sk_c4, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))), sk_c4), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.83/42.85 inference(symmetry,[status(thm)],[637])).
% 66.83/42.85 tff(721,plain,
% 66.83/42.85 (sk_c6 = multiply(sk_c7, sk_c5)),
% 66.83/42.85 inference(symmetry,[status(thm)],[624])).
% 66.83/42.85 tff(722,plain,
% 66.83/42.85 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)) = sk_c7),
% 66.83/42.85 inference(transitivity,[status(thm)],[385, 380, 378, 375, 372, 302, 613, 612, 609, 42, 721, 634, 720, 661, 666, 669, 680, 686, 689, 692, 719, 554, 524, 640, 529, 505, 718, 507, 717, 516, 63])).
% 66.83/42.85 tff(723,plain,
% 66.83/42.85 (multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7))) = multiply(sk_c7, sk_c7)),
% 66.83/42.85 inference(monotonicity,[status(thm)],[722])).
% 66.83/42.85 tff(724,plain,
% 66.83/42.85 (multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7))),
% 66.83/42.85 inference(symmetry,[status(thm)],[385])).
% 66.83/42.85 tff(725,plain,
% 66.83/42.85 (multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c6, identity), multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 66.83/42.85 inference(symmetry,[status(thm)],[380])).
% 66.83/42.85 tff(726,plain,
% 66.83/42.85 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c7))))),
% 66.83/42.85 inference(symmetry,[status(thm)],[378])).
% 66.83/42.85 tff(727,plain,
% 66.83/42.85 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, sk_c7))),
% 66.83/42.85 inference(symmetry,[status(thm)],[372])).
% 66.83/42.85 tff(728,plain,
% 66.83/42.85 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7))),
% 66.83/42.85 inference(transitivity,[status(thm)],[334, 332, 329, 727, 374, 726, 725, 724])).
% 66.83/42.85 tff(729,plain,
% 66.83/42.85 (multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c7, sk_c7), sk_c7)))),
% 66.83/42.85 inference(monotonicity,[status(thm)],[528, 728])).
% 66.83/42.85 tff(730,plain,
% 66.83/42.85 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))) = multiply(multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.83/42.85 inference(symmetry,[status(thm)],[368])).
% 66.83/42.85 tff(731,plain,
% 66.83/42.85 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c2, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.83/42.85 inference(symmetry,[status(thm)],[361])).
% 66.83/42.85 tff(732,plain,
% 66.83/42.85 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))))),
% 66.83/42.85 inference(transitivity,[status(thm)],[359, 358, 731, 363])).
% 66.83/42.85 tff(733,plain,
% 66.83/42.85 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), multiply(sk_c6, multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))))),
% 66.83/42.85 inference(monotonicity,[status(thm)],[732])).
% 66.83/42.85 tff(734,plain,
% 66.83/42.85 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7))))),
% 66.83/42.85 inference(symmetry,[status(thm)],[338])).
% 66.83/42.85 tff(735,plain,
% 66.83/42.85 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c2), multiply(sk_c7, sk_c7)))),
% 66.83/42.85 inference(transitivity,[status(thm)],[673, 318, 675, 734, 677, 733, 730, 729, 723, 613, 612, 609, 42, 721, 634, 720, 661, 666, 669, 680, 686, 689, 692, 719, 554, 524, 640, 529, 505, 718, 507, 717, 516, 309, 306, 304, 300, 297, 9])).
% 66.83/42.85 tff(736,plain,
% 66.83/42.85 ($false),
% 66.83/42.85 inference(unit_resolution,[status(thm)],[735, 716])).
% 66.83/42.85 tff(737,plain,(multiply(sk_c2, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 66.83/42.85 tff(738,plain,
% 66.83/42.85 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)))),
% 66.83/42.85 inference(rewrite,[status(thm)],[])).
% 66.83/42.85 tff(739,plain,
% 66.83/42.85 (((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6))) <=> ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)))),
% 66.83/42.85 inference(rewrite,[status(thm)],[])).
% 66.83/42.85 tff(740,plain,
% 66.83/42.85 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6))))),
% 66.83/42.85 inference(monotonicity,[status(thm)],[739])).
% 66.83/42.85 tff(741,plain,
% 66.83/42.85 (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)))),
% 66.83/42.91 inference(transitivity,[status(thm)],[740, 738])).
% 66.83/42.91 tff(742,plain,
% 66.83/42.91 ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)))),
% 66.83/42.91 inference(quant_inst,[status(thm)],[])).
% 66.83/42.91 tff(743,plain,
% 66.83/42.91 ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c7)) | (~(multiply(X5, sk_c7) = X2)) | (~(multiply(sk_c7, X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6))),
% 66.83/42.91 inference(modus_ponens,[status(thm)],[742, 741])).
% 66.83/42.91 tff(744,plain,
% 66.83/42.91 ((~(multiply(sk_c2, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c2), sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))) | (~(multiply(sk_c7, multiply(sk_c3, sk_c2)) = sk_c6))),
% 66.83/42.91 inference(unit_resolution,[status(thm)],[743, 218, 129, 290, 120])).
% 66.83/42.91 tff(745,plain,
% 66.83/42.91 (~(multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c2))),
% 66.83/42.91 inference(unit_resolution,[status(thm)],[744, 737, 474, 616, 615])).
% 66.83/42.91 tff(746,plain,
% 66.83/42.91 (~(multiply(sk_c7, sk_c6) = sk_c7)),
% 66.83/42.91 inference(modus_ponens,[status(thm)],[745, 562])).
% 66.83/42.91 tff(747,plain,
% 66.83/42.91 ((multiply(sk_c7, sk_c6) = sk_c7) | (~(multiply(sk_c2, sk_c7) = sk_c6))),
% 66.83/42.91 inference(unit_resolution,[status(thm)],[83, 290])).
% 66.83/42.91 tff(748,plain,
% 66.83/42.91 (multiply(sk_c7, sk_c6) = sk_c7),
% 66.83/42.91 inference(unit_resolution,[status(thm)],[747, 737])).
% 66.83/42.91 tff(749,plain,
% 66.83/42.91 ($false),
% 66.83/42.91 inference(unit_resolution,[status(thm)],[748, 746])).
% 66.83/42.91 % SZS output end Proof
%------------------------------------------------------------------------------