%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP279-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 : Sat Jun 21 05:07:33 AM UTC 2025
% Result : Unsatisfiable 34.45s 34.63s
% Output : Proof 34.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP279-1 : TPTP v9.0.0. Released v2.5.0.
% 0.09/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Jun 19 15:53:47 EDT 2025
% 0.14/0.36 % CPUTime :
% 34.45/34.63 % SZS status Unsatisfiable
% 34.45/34.63 % SZS output start Proof
% 34.45/34.63 tff(sk_c8_type, type, (
% 34.45/34.63 sk_c8: $i)).
% 34.45/34.63 tff(multiply_type, type, (
% 34.45/34.63 multiply: ( $i * $i ) > $i)).
% 34.45/34.63 tff(sk_c7_type, type, (
% 34.45/34.63 sk_c7: $i)).
% 34.45/34.63 tff(inverse_type, type, (
% 34.45/34.63 inverse: $i > $i)).
% 34.45/34.63 tff(sk_c4_type, type, (
% 34.45/34.63 sk_c4: $i)).
% 34.45/34.63 tff(identity_type, type, (
% 34.45/34.63 identity: $i)).
% 34.45/34.63 tff(sk_c1_type, type, (
% 34.45/34.63 sk_c1: $i)).
% 34.45/34.63 tff(sk_c2_type, type, (
% 34.45/34.63 sk_c2: $i)).
% 34.45/34.63 tff(sk_c5_type, type, (
% 34.45/34.63 sk_c5: $i)).
% 34.45/34.63 tff(sk_c6_type, type, (
% 34.45/34.63 sk_c6: $i)).
% 34.45/34.63 tff(sk_c3_type, type, (
% 34.45/34.63 sk_c3: $i)).
% 34.45/34.63 tff(1,plain,
% 34.45/34.63 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 34.45/34.63 inference(bind,[status(th)],[])).
% 34.45/34.63 tff(2,plain,
% 34.45/34.63 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 34.45/34.63 inference(quant_intro,[status(thm)],[1])).
% 34.45/34.63 tff(3,plain,
% 34.45/34.63 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 34.45/34.63 inference(rewrite,[status(thm)],[])).
% 34.45/34.63 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 34.45/34.63 tff(5,plain,
% 34.45/34.63 (![X: $i] : (multiply(identity, X) = X)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[4, 3])).
% 34.45/34.63 tff(6,plain,(
% 34.45/34.63 ![X: $i] : (multiply(identity, X) = X)),
% 34.45/34.63 inference(skolemize,[status(sab)],[5])).
% 34.45/34.63 tff(7,plain,
% 34.45/34.63 (![X: $i] : (multiply(identity, X) = X)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[6, 2])).
% 34.45/34.63 tff(8,plain,
% 34.45/34.63 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 34.45/34.63 inference(quant_inst,[status(thm)],[])).
% 34.45/34.63 tff(9,plain,
% 34.45/34.63 (multiply(identity, sk_c8) = sk_c8),
% 34.45/34.63 inference(unit_resolution,[status(thm)],[8, 7])).
% 34.45/34.63 tff(10,plain,
% 34.45/34.63 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 34.45/34.63 inference(quant_inst,[status(thm)],[])).
% 34.45/34.63 tff(11,plain,
% 34.45/34.63 (multiply(identity, sk_c7) = sk_c7),
% 34.45/34.63 inference(unit_resolution,[status(thm)],[10, 7])).
% 34.45/34.63 tff(12,plain,
% 34.45/34.63 ((sk_c8 = multiply(sk_c7, sk_c7)) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 34.45/34.63 inference(commutativity,[status(thm)],[])).
% 34.45/34.63 tff(13,assumption,(~(multiply(sk_c1, sk_c8) = sk_c7)), introduced(assumption)).
% 34.45/34.63 tff(14,plain,
% 34.45/34.63 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 34.45/34.63 inference(rewrite,[status(thm)],[])).
% 34.45/34.63 tff(15,plain,
% 34.45/34.63 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 34.45/34.63 inference(rewrite,[status(thm)],[])).
% 34.45/34.63 tff(16,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 34.45/34.63 tff(17,plain,
% 34.45/34.63 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[16, 15])).
% 34.45/34.63 tff(18,plain,
% 34.45/34.63 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[17, 14])).
% 34.45/34.63 tff(19,plain,
% 34.45/34.63 (inverse(sk_c4) = sk_c8),
% 34.45/34.63 inference(unit_resolution,[status(thm)],[18, 13])).
% 34.45/34.63 tff(20,plain,
% 34.45/34.63 (sk_c8 = inverse(sk_c4)),
% 34.45/34.63 inference(symmetry,[status(thm)],[19])).
% 34.45/34.63 tff(21,plain,
% 34.45/34.63 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 34.45/34.63 inference(monotonicity,[status(thm)],[20])).
% 34.45/34.63 tff(22,plain,
% 34.45/34.63 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 34.45/34.63 inference(symmetry,[status(thm)],[21])).
% 34.45/34.63 tff(23,plain,
% 34.45/34.63 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 34.45/34.63 inference(bind,[status(th)],[])).
% 34.45/34.63 tff(24,plain,
% 34.45/34.63 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 34.45/34.63 inference(quant_intro,[status(thm)],[23])).
% 34.45/34.63 tff(25,plain,
% 34.45/34.63 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 34.45/34.63 inference(rewrite,[status(thm)],[])).
% 34.45/34.63 tff(26,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 34.45/34.63 tff(27,plain,
% 34.45/34.63 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[26, 25])).
% 34.45/34.63 tff(28,plain,(
% 34.45/34.63 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 34.45/34.63 inference(skolemize,[status(sab)],[27])).
% 34.45/34.63 tff(29,plain,
% 34.45/34.63 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[28, 24])).
% 34.45/34.63 tff(30,plain,
% 34.45/34.63 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 34.45/34.63 inference(quant_inst,[status(thm)],[])).
% 34.45/34.63 tff(31,plain,
% 34.45/34.63 (multiply(inverse(sk_c4), sk_c4) = identity),
% 34.45/34.63 inference(unit_resolution,[status(thm)],[30, 29])).
% 34.45/34.63 tff(32,plain,
% 34.45/34.63 (identity = multiply(inverse(sk_c4), sk_c4)),
% 34.45/34.63 inference(symmetry,[status(thm)],[31])).
% 34.45/34.63 tff(33,plain,
% 34.45/34.63 (identity = multiply(sk_c8, sk_c4)),
% 34.45/34.63 inference(transitivity,[status(thm)],[32, 22])).
% 34.45/34.63 tff(34,plain,
% 34.45/34.63 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 34.45/34.63 inference(monotonicity,[status(thm)],[33])).
% 34.45/34.63 tff(35,plain,
% 34.45/34.63 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 34.45/34.63 inference(symmetry,[status(thm)],[34])).
% 34.45/34.63 tff(36,plain,
% 34.45/34.63 (((inverse(sk_c5) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 34.45/34.63 inference(rewrite,[status(thm)],[])).
% 34.45/34.63 tff(37,plain,
% 34.45/34.63 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 34.45/34.63 inference(rewrite,[status(thm)],[])).
% 34.45/34.63 tff(38,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_9')).
% 34.45/34.63 tff(39,plain,
% 34.45/34.63 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[38, 37])).
% 34.45/34.63 tff(40,plain,
% 34.45/34.63 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[39, 36])).
% 34.45/34.63 tff(41,plain,
% 34.45/34.63 (inverse(sk_c5) = sk_c7),
% 34.45/34.63 inference(unit_resolution,[status(thm)],[40, 13])).
% 34.45/34.63 tff(42,plain,
% 34.45/34.63 (sk_c7 = inverse(sk_c5)),
% 34.45/34.63 inference(symmetry,[status(thm)],[41])).
% 34.45/34.63 tff(43,plain,
% 34.45/34.63 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 34.45/34.63 inference(monotonicity,[status(thm)],[42])).
% 34.45/34.63 tff(44,plain,
% 34.45/34.63 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c7, sk_c5)),
% 34.45/34.63 inference(symmetry,[status(thm)],[43])).
% 34.45/34.63 tff(45,plain,
% 34.45/34.63 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 34.45/34.63 inference(quant_inst,[status(thm)],[])).
% 34.45/34.63 tff(46,plain,
% 34.45/34.63 (multiply(inverse(sk_c5), sk_c5) = identity),
% 34.45/34.63 inference(unit_resolution,[status(thm)],[45, 29])).
% 34.45/34.63 tff(47,plain,
% 34.45/34.63 (identity = multiply(inverse(sk_c5), sk_c5)),
% 34.45/34.63 inference(symmetry,[status(thm)],[46])).
% 34.45/34.63 tff(48,plain,
% 34.45/34.63 (multiply(sk_c8, sk_c4) = multiply(sk_c7, sk_c5)),
% 34.45/34.63 inference(transitivity,[status(thm)],[21, 31, 47, 44])).
% 34.45/34.63 tff(49,plain,
% 34.45/34.63 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 34.45/34.63 inference(monotonicity,[status(thm)],[48])).
% 34.45/34.63 tff(50,plain,
% 34.45/34.63 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 34.45/34.63 inference(symmetry,[status(thm)],[49])).
% 34.45/34.63 tff(51,plain,
% 34.45/34.63 (^[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))))),
% 34.45/34.63 inference(bind,[status(th)],[])).
% 34.45/34.63 tff(52,plain,
% 34.45/34.63 (![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)))),
% 34.45/34.63 inference(quant_intro,[status(thm)],[51])).
% 34.45/34.63 tff(53,plain,
% 34.45/34.63 (![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)))),
% 34.45/34.63 inference(rewrite,[status(thm)],[])).
% 34.45/34.63 tff(54,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 34.45/34.63 tff(55,plain,
% 34.45/34.63 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 34.45/34.63 inference(modus_ponens,[status(thm)],[54, 53])).
% 34.48/34.63 tff(56,plain,(
% 34.48/34.63 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 34.48/34.63 inference(skolemize,[status(sab)],[55])).
% 34.48/34.63 tff(57,plain,
% 34.48/34.63 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 34.48/34.63 inference(modus_ponens,[status(thm)],[56, 52])).
% 34.48/34.63 tff(58,plain,
% 34.48/34.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 34.48/34.63 inference(quant_inst,[status(thm)],[])).
% 34.48/34.63 tff(59,plain,
% 34.48/34.63 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[58, 57])).
% 34.48/34.63 tff(60,plain,
% 34.48/34.63 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 34.48/34.63 inference(symmetry,[status(thm)],[59])).
% 34.48/34.63 tff(61,plain,
% 34.48/34.63 (multiply(sk_c5, sk_c7) = multiply(sk_c5, inverse(sk_c5))),
% 34.48/34.63 inference(monotonicity,[status(thm)],[42])).
% 34.48/34.63 tff(62,plain,
% 34.48/34.63 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))),
% 34.48/34.63 inference(monotonicity,[status(thm)],[61])).
% 34.48/34.63 tff(63,plain,
% 34.48/34.63 (multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 34.48/34.63 inference(symmetry,[status(thm)],[62])).
% 34.48/34.63 tff(64,plain,
% 34.48/34.63 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c5, inverse(sk_c5)))),
% 34.48/34.63 inference(quant_inst,[status(thm)],[])).
% 34.48/34.63 tff(65,plain,
% 34.48/34.63 (multiply(identity, multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c5, inverse(sk_c5))),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[64, 7])).
% 34.48/34.63 tff(66,plain,
% 34.48/34.63 (multiply(sk_c5, inverse(sk_c5)) = multiply(identity, multiply(sk_c5, inverse(sk_c5)))),
% 34.48/34.63 inference(symmetry,[status(thm)],[65])).
% 34.48/34.63 tff(67,plain,
% 34.48/34.63 (multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c7, multiply(identity, multiply(sk_c5, inverse(sk_c5))))),
% 34.48/34.63 inference(monotonicity,[status(thm)],[66])).
% 34.48/34.63 tff(68,plain,
% 34.48/34.63 (multiply(sk_c7, multiply(identity, multiply(sk_c5, inverse(sk_c5)))) = multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))),
% 34.48/34.63 inference(symmetry,[status(thm)],[67])).
% 34.48/34.63 tff(69,plain,
% 34.48/34.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c7, multiply(identity, multiply(sk_c5, inverse(sk_c5)))))),
% 34.48/34.63 inference(quant_inst,[status(thm)],[])).
% 34.48/34.63 tff(70,plain,
% 34.48/34.63 (multiply(multiply(sk_c7, identity), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c7, multiply(identity, multiply(sk_c5, inverse(sk_c5))))),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[69, 57])).
% 34.48/34.63 tff(71,assumption,(~(multiply(sk_c7, sk_c8) = sk_c6)), introduced(assumption)).
% 34.48/34.63 tff(72,plain,
% 34.48/34.63 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6))),
% 34.48/34.63 inference(rewrite,[status(thm)],[])).
% 34.48/34.63 tff(73,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 34.48/34.63 tff(74,plain,
% 34.48/34.63 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.63 inference(modus_ponens,[status(thm)],[73, 72])).
% 34.48/34.63 tff(75,plain,
% 34.48/34.63 (inverse(sk_c1) = sk_c8),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[74, 71])).
% 34.48/34.63 tff(76,plain,
% 34.48/34.63 (sk_c8 = inverse(sk_c1)),
% 34.48/34.63 inference(symmetry,[status(thm)],[75])).
% 34.48/34.63 tff(77,plain,
% 34.48/34.63 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 34.48/34.63 inference(monotonicity,[status(thm)],[76])).
% 34.48/34.63 tff(78,plain,
% 34.48/34.63 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.48/34.63 inference(symmetry,[status(thm)],[77])).
% 34.48/34.63 tff(79,plain,
% 34.48/34.63 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 34.48/34.63 inference(quant_inst,[status(thm)],[])).
% 34.48/34.63 tff(80,plain,
% 34.48/34.63 (multiply(inverse(sk_c1), sk_c1) = identity),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[79, 29])).
% 34.48/34.63 tff(81,plain,
% 34.48/34.63 (identity = multiply(inverse(sk_c1), sk_c1)),
% 34.48/34.63 inference(symmetry,[status(thm)],[80])).
% 34.48/34.63 tff(82,plain,
% 34.48/34.63 (identity = multiply(sk_c8, sk_c1)),
% 34.48/34.63 inference(transitivity,[status(thm)],[81, 78])).
% 34.48/34.63 tff(83,plain,
% 34.48/34.63 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.48/34.63 inference(monotonicity,[status(thm)],[82])).
% 34.48/34.63 tff(84,plain,
% 34.48/34.63 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 34.48/34.63 inference(symmetry,[status(thm)],[83])).
% 34.48/34.63 tff(85,plain,
% 34.48/34.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c8)))),
% 34.48/34.63 inference(quant_inst,[status(thm)],[])).
% 34.48/34.63 tff(86,plain,
% 34.48/34.63 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[85, 57])).
% 34.48/34.63 tff(87,plain,
% 34.48/34.63 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.48/34.63 inference(symmetry,[status(thm)],[86])).
% 34.48/34.63 tff(88,plain,
% 34.48/34.63 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c8) = sk_c6))),
% 34.48/34.63 inference(rewrite,[status(thm)],[])).
% 34.48/34.63 tff(89,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 34.48/34.63 tff(90,plain,
% 34.48/34.63 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.63 inference(modus_ponens,[status(thm)],[89, 88])).
% 34.48/34.63 tff(91,plain,
% 34.48/34.63 (multiply(sk_c1, sk_c8) = sk_c7),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[90, 71])).
% 34.48/34.63 tff(92,plain,
% 34.48/34.63 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, sk_c7)),
% 34.48/34.63 inference(monotonicity,[status(thm)],[91])).
% 34.48/34.63 tff(93,plain,
% 34.48/34.63 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 34.48/34.63 inference(symmetry,[status(thm)],[92])).
% 34.48/34.63 tff(94,plain,
% 34.48/34.63 (sk_c8 = multiply(identity, sk_c8)),
% 34.48/34.63 inference(symmetry,[status(thm)],[9])).
% 34.48/34.63 tff(95,plain,
% 34.48/34.63 (sk_c8 = multiply(sk_c8, sk_c7)),
% 34.48/34.63 inference(transitivity,[status(thm)],[94, 83, 86, 92])).
% 34.48/34.63 tff(96,plain,
% 34.48/34.63 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c8, sk_c7))),
% 34.48/34.63 inference(monotonicity,[status(thm)],[95])).
% 34.48/34.63 tff(97,plain,
% 34.48/34.63 (multiply(sk_c1, multiply(sk_c8, sk_c7)) = multiply(sk_c1, sk_c8)),
% 34.48/34.63 inference(symmetry,[status(thm)],[96])).
% 34.48/34.63 tff(98,plain,
% 34.48/34.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c7) = multiply(sk_c1, multiply(sk_c8, sk_c7)))),
% 34.48/34.63 inference(quant_inst,[status(thm)],[])).
% 34.48/34.63 tff(99,plain,
% 34.48/34.63 (multiply(multiply(sk_c1, sk_c8), sk_c7) = multiply(sk_c1, multiply(sk_c8, sk_c7))),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[98, 57])).
% 34.48/34.63 tff(100,plain,
% 34.48/34.63 (multiply(multiply(sk_c1, sk_c8), sk_c7) = multiply(sk_c7, sk_c7)),
% 34.48/34.63 inference(monotonicity,[status(thm)],[91])).
% 34.48/34.63 tff(101,plain,
% 34.48/34.63 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c1, sk_c8), sk_c7)),
% 34.48/34.63 inference(symmetry,[status(thm)],[100])).
% 34.48/34.63 tff(102,plain,
% 34.48/34.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), sk_c3) = multiply(sk_c1, multiply(sk_c2, sk_c3)))),
% 34.48/34.63 inference(quant_inst,[status(thm)],[])).
% 34.48/34.63 tff(103,plain,
% 34.48/34.63 (multiply(multiply(sk_c1, sk_c2), sk_c3) = multiply(sk_c1, multiply(sk_c2, sk_c3))),
% 34.48/34.63 inference(unit_resolution,[status(thm)],[102, 57])).
% 34.48/34.63 tff(104,plain,
% 34.48/34.63 (multiply(sk_c1, multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, sk_c2), sk_c3)),
% 34.48/34.63 inference(symmetry,[status(thm)],[103])).
% 34.48/34.63 tff(105,plain,
% 34.48/34.63 (((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)) <=> ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6))),
% 34.48/34.63 inference(rewrite,[status(thm)],[])).
% 34.48/34.63 tff(106,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 34.48/34.63 tff(107,plain,
% 34.48/34.63 ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.63 inference(modus_ponens,[status(thm)],[106, 105])).
% 34.48/34.63 tff(108,plain,
% 34.48/34.63 (multiply(sk_c2, sk_c3) = sk_c8),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[107, 71])).
% 34.48/34.64 tff(109,plain,
% 34.48/34.64 (multiply(sk_c1, multiply(sk_c2, sk_c3)) = multiply(sk_c1, sk_c8)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[108])).
% 34.48/34.64 tff(110,plain,
% 34.48/34.64 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c2, sk_c3))),
% 34.48/34.64 inference(symmetry,[status(thm)],[109])).
% 34.48/34.64 tff(111,plain,
% 34.48/34.64 (sk_c7 = multiply(sk_c1, sk_c8)),
% 34.48/34.64 inference(symmetry,[status(thm)],[91])).
% 34.48/34.64 tff(112,plain,
% 34.48/34.64 (sk_c7 = multiply(multiply(sk_c1, sk_c2), sk_c3)),
% 34.48/34.64 inference(transitivity,[status(thm)],[111, 110, 104])).
% 34.48/34.64 tff(113,plain,
% 34.48/34.64 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3))),
% 34.48/34.64 inference(monotonicity,[status(thm)],[112])).
% 34.48/34.64 tff(114,plain,
% 34.48/34.64 (multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3)) = multiply(sk_c7, sk_c7)),
% 34.48/34.64 inference(symmetry,[status(thm)],[113])).
% 34.48/34.64 tff(115,plain,
% 34.48/34.64 (multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3)) = sk_c7),
% 34.48/34.64 inference(transitivity,[status(thm)],[114, 101, 99, 97, 91])).
% 34.48/34.64 tff(116,plain,
% 34.48/34.64 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(117,plain,
% 34.48/34.64 (multiply(inverse(sk_c7), sk_c7) = identity),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[116, 29])).
% 34.48/34.64 tff(118,plain,
% 34.48/34.64 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c8))),
% 34.48/34.64 inference(monotonicity,[status(thm)],[111])).
% 34.48/34.64 tff(119,plain,
% 34.48/34.64 (multiply(inverse(sk_c7), multiply(sk_c1, sk_c8)) = multiply(inverse(sk_c7), sk_c7)),
% 34.48/34.64 inference(symmetry,[status(thm)],[118])).
% 34.48/34.64 tff(120,plain,
% 34.48/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c8)))),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(121,plain,
% 34.48/34.64 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c8))),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[120, 57])).
% 34.48/34.64 tff(122,plain,
% 34.48/34.64 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(sk_c8, sk_c1)),
% 34.48/34.64 inference(transitivity,[status(thm)],[121, 119, 117, 81, 78])).
% 34.48/34.64 tff(123,plain,
% 34.48/34.64 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[122])).
% 34.48/34.64 tff(124,plain,
% 34.48/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c8), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)))),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(125,plain,
% 34.48/34.64 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c8), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8))),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[124, 57])).
% 34.48/34.64 tff(126,plain,
% 34.48/34.64 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c8), sk_c8)),
% 34.48/34.64 inference(symmetry,[status(thm)],[125])).
% 34.48/34.64 tff(127,plain,
% 34.48/34.64 (sk_c8 = multiply(sk_c2, sk_c3)),
% 34.48/34.64 inference(symmetry,[status(thm)],[108])).
% 34.48/34.64 tff(128,plain,
% 34.48/34.64 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[127])).
% 34.48/34.64 tff(129,plain,
% 34.48/34.64 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c8, sk_c8)),
% 34.48/34.64 inference(symmetry,[status(thm)],[128])).
% 34.48/34.64 tff(130,plain,
% 34.48/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c8)))),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(131,plain,
% 34.48/34.64 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[130, 57])).
% 34.48/34.64 tff(132,plain,
% 34.48/34.64 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 34.48/34.64 inference(symmetry,[status(thm)],[131])).
% 34.48/34.64 tff(133,plain,
% 34.48/34.64 (((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)) <=> ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6))),
% 34.48/34.64 inference(rewrite,[status(thm)],[])).
% 34.48/34.64 tff(134,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_26')).
% 34.48/34.64 tff(135,plain,
% 34.48/34.64 ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.64 inference(modus_ponens,[status(thm)],[134, 133])).
% 34.48/34.64 tff(136,plain,
% 34.48/34.64 (multiply(sk_c3, sk_c7) = sk_c8),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[135, 71])).
% 34.48/34.64 tff(137,plain,
% 34.48/34.64 (sk_c8 = multiply(sk_c3, sk_c7)),
% 34.48/34.64 inference(symmetry,[status(thm)],[136])).
% 34.48/34.64 tff(138,plain,
% 34.48/34.64 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(139,plain,
% 34.48/34.64 (multiply(inverse(sk_c2), sk_c2) = identity),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[138, 29])).
% 34.48/34.64 tff(140,plain,
% 34.48/34.64 (((inverse(sk_c2) = sk_c3) | (multiply(sk_c7, sk_c8) = sk_c6)) <=> ((inverse(sk_c2) = sk_c3) | (multiply(sk_c7, sk_c8) = sk_c6))),
% 34.48/34.64 inference(rewrite,[status(thm)],[])).
% 34.48/34.64 tff(141,axiom,((inverse(sk_c2) = sk_c3) | (multiply(sk_c7, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_21')).
% 34.48/34.64 tff(142,plain,
% 34.48/34.64 ((inverse(sk_c2) = sk_c3) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.64 inference(modus_ponens,[status(thm)],[141, 140])).
% 34.48/34.64 tff(143,plain,
% 34.48/34.64 (inverse(sk_c2) = sk_c3),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[142, 71])).
% 34.48/34.64 tff(144,plain,
% 34.48/34.64 (sk_c3 = inverse(sk_c2)),
% 34.48/34.64 inference(symmetry,[status(thm)],[143])).
% 34.48/34.64 tff(145,plain,
% 34.48/34.64 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[144])).
% 34.48/34.64 tff(146,plain,
% 34.48/34.64 (multiply(sk_c3, sk_c2) = multiply(sk_c8, sk_c1)),
% 34.48/34.64 inference(transitivity,[status(thm)],[145, 139, 81, 78])).
% 34.48/34.64 tff(147,plain,
% 34.48/34.64 (multiply(multiply(sk_c3, sk_c2), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[146])).
% 34.48/34.64 tff(148,plain,
% 34.48/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), sk_c8) = multiply(sk_c3, multiply(sk_c2, sk_c8)))),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(149,plain,
% 34.48/34.64 (multiply(multiply(sk_c3, sk_c2), sk_c8) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[148, 57])).
% 34.48/34.64 tff(150,plain,
% 34.48/34.64 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c3, sk_c2), sk_c8)),
% 34.48/34.64 inference(symmetry,[status(thm)],[149])).
% 34.48/34.64 tff(151,plain,
% 34.48/34.64 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c7))),
% 34.48/34.64 inference(monotonicity,[status(thm)],[137])).
% 34.48/34.64 tff(152,plain,
% 34.48/34.64 (multiply(sk_c2, multiply(sk_c3, sk_c7)) = multiply(sk_c2, sk_c8)),
% 34.48/34.64 inference(symmetry,[status(thm)],[151])).
% 34.48/34.64 tff(153,plain,
% 34.48/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(sk_c2, multiply(sk_c3, sk_c7)))),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(154,plain,
% 34.48/34.64 (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(sk_c2, multiply(sk_c3, sk_c7))),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[153, 57])).
% 34.48/34.64 tff(155,plain,
% 34.48/34.64 (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(sk_c8, sk_c7)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[108])).
% 34.48/34.64 tff(156,plain,
% 34.48/34.64 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c2, sk_c3), sk_c7)),
% 34.48/34.64 inference(symmetry,[status(thm)],[155])).
% 34.48/34.64 tff(157,plain,
% 34.48/34.64 (sk_c8 = multiply(sk_c2, sk_c8)),
% 34.48/34.64 inference(transitivity,[status(thm)],[94, 83, 86, 92, 156, 154, 152])).
% 34.48/34.64 tff(158,plain,
% 34.48/34.64 (multiply(sk_c3, sk_c8) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 34.48/34.64 inference(monotonicity,[status(thm)],[157])).
% 34.48/34.64 tff(159,plain,
% 34.48/34.64 (multiply(sk_c3, sk_c8) = multiply(sk_c3, sk_c7)),
% 34.48/34.64 inference(transitivity,[status(thm)],[158, 150, 147, 84, 9, 137])).
% 34.48/34.64 tff(160,plain,
% 34.48/34.64 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(sk_c2, multiply(sk_c3, sk_c7))),
% 34.48/34.64 inference(monotonicity,[status(thm)],[159])).
% 34.48/34.64 tff(161,plain,
% 34.48/34.64 (multiply(sk_c2, multiply(sk_c3, sk_c7)) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 34.48/34.64 inference(symmetry,[status(thm)],[160])).
% 34.48/34.64 tff(162,plain,
% 34.48/34.64 (sk_c8 = multiply(sk_c8, sk_c8)),
% 34.48/34.64 inference(transitivity,[status(thm)],[94, 83, 86, 92, 156, 154, 161, 132, 129])).
% 34.48/34.64 tff(163,plain,
% 34.48/34.64 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8))),
% 34.48/34.64 inference(monotonicity,[status(thm)],[162])).
% 34.48/34.64 tff(164,plain,
% 34.48/34.64 (multiply(inverse(sk_c7), multiply(sk_c1, sk_c8)) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)),
% 34.48/34.64 inference(symmetry,[status(thm)],[121])).
% 34.48/34.64 tff(165,plain,
% 34.48/34.64 (identity = multiply(inverse(sk_c7), sk_c7)),
% 34.48/34.64 inference(symmetry,[status(thm)],[117])).
% 34.48/34.64 tff(166,plain,
% 34.48/34.64 (identity = sk_c8),
% 34.48/34.64 inference(transitivity,[status(thm)],[165, 118, 164, 163, 126, 123, 84, 9])).
% 34.48/34.64 tff(167,plain,
% 34.48/34.64 (multiply(identity, multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3))) = multiply(sk_c8, sk_c7)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[166, 115])).
% 34.48/34.64 tff(168,plain,
% 34.48/34.64 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3))) = multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3)))),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(169,plain,
% 34.48/34.64 (multiply(identity, multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3))) = multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3))),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[168, 7])).
% 34.48/34.64 tff(170,plain,
% 34.48/34.64 (multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3)) = multiply(identity, multiply(sk_c7, multiply(multiply(sk_c1, sk_c2), sk_c3)))),
% 34.48/34.64 inference(symmetry,[status(thm)],[169])).
% 34.48/34.64 tff(171,plain,
% 34.48/34.64 (multiply(sk_c7, sk_c7) = sk_c8),
% 34.48/34.64 inference(transitivity,[status(thm)],[113, 170, 167, 93, 87, 84, 9])).
% 34.48/34.64 tff(172,plain,
% 34.48/34.64 (((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6))),
% 34.48/34.64 inference(rewrite,[status(thm)],[])).
% 34.48/34.64 tff(173,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 34.48/34.64 tff(174,plain,
% 34.48/34.64 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.64 inference(modus_ponens,[status(thm)],[173, 172])).
% 34.48/34.64 tff(175,plain,
% 34.48/34.64 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.64 inference(modus_ponens,[status(thm)],[174, 172])).
% 34.48/34.64 tff(176,plain,
% 34.48/34.64 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.64 inference(modus_ponens,[status(thm)],[175, 172])).
% 34.48/34.64 tff(177,plain,
% 34.48/34.64 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.64 inference(modus_ponens,[status(thm)],[176, 172])).
% 34.48/34.64 tff(178,plain,
% 34.48/34.64 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c8) = sk_c6)),
% 34.48/34.64 inference(modus_ponens,[status(thm)],[177, 172])).
% 34.48/34.64 tff(179,plain,
% 34.48/34.64 (multiply(sk_c8, sk_c7) = sk_c6),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[178, 71])).
% 34.48/34.64 tff(180,plain,
% 34.48/34.64 (sk_c6 = multiply(sk_c8, sk_c7)),
% 34.48/34.64 inference(symmetry,[status(thm)],[179])).
% 34.48/34.64 tff(181,plain,
% 34.48/34.64 (sk_c6 = sk_c8),
% 34.48/34.64 inference(transitivity,[status(thm)],[180, 93, 87, 84, 9])).
% 34.48/34.64 tff(182,plain,
% 34.48/34.64 (multiply(multiply(sk_c1, sk_c2), sk_c3) = sk_c7),
% 34.48/34.64 inference(transitivity,[status(thm)],[103, 109, 91])).
% 34.48/34.64 tff(183,plain,
% 34.48/34.64 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c7) = multiply(sk_c7, sk_c7)),
% 34.48/34.64 inference(monotonicity,[status(thm)],[182])).
% 34.48/34.64 tff(184,plain,
% 34.48/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c7)))),
% 34.48/34.64 inference(quant_inst,[status(thm)],[])).
% 34.48/34.64 tff(185,plain,
% 34.48/34.64 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c7))),
% 34.48/34.64 inference(unit_resolution,[status(thm)],[184, 57])).
% 34.48/34.64 tff(186,plain,
% 34.48/34.64 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c7)),
% 34.49/34.64 inference(symmetry,[status(thm)],[185])).
% 34.49/34.64 tff(187,plain,
% 34.49/34.64 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c7))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[159])).
% 34.49/34.64 tff(188,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c8) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c8)))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(189,plain,
% 34.49/34.64 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c8) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c8))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[188, 57])).
% 34.49/34.64 tff(190,plain,
% 34.49/34.64 (multiply(sk_c7, sk_c8) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c8)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[112])).
% 34.49/34.64 tff(191,plain,
% 34.49/34.64 (multiply(sk_c7, sk_c8) = multiply(sk_c7, sk_c7)),
% 34.49/34.64 inference(transitivity,[status(thm)],[190, 189, 187, 186, 183])).
% 34.49/34.64 tff(192,plain,
% 34.49/34.64 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[191, 181])).
% 34.49/34.64 tff(193,plain,
% 34.49/34.64 ((~(multiply(sk_c7, sk_c8) = sk_c6)) <=> (~(multiply(sk_c7, sk_c7) = sk_c8))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[192])).
% 34.49/34.64 tff(194,plain,
% 34.49/34.64 (~(multiply(sk_c7, sk_c7) = sk_c8)),
% 34.49/34.64 inference(modus_ponens,[status(thm)],[71, 193])).
% 34.49/34.64 tff(195,plain,
% 34.49/34.64 ($false),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[194, 171])).
% 34.49/34.64 tff(196,plain,(multiply(sk_c7, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 34.49/34.64 tff(197,plain,
% 34.49/34.64 (sk_c6 = multiply(sk_c7, sk_c8)),
% 34.49/34.64 inference(symmetry,[status(thm)],[196])).
% 34.49/34.64 tff(198,plain,
% 34.49/34.64 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[197])).
% 34.49/34.64 tff(199,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c6, sk_c4)),
% 34.49/34.64 inference(symmetry,[status(thm)],[198])).
% 34.49/34.64 tff(200,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, multiply(sk_c8, sk_c4)))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(201,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, multiply(sk_c8, sk_c4))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[200, 57])).
% 34.49/34.64 tff(202,plain,
% 34.49/34.64 (multiply(sk_c7, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 34.49/34.64 inference(symmetry,[status(thm)],[201])).
% 34.49/34.64 tff(203,plain,
% 34.49/34.64 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c4))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[33])).
% 34.49/34.64 tff(204,plain,
% 34.49/34.64 (multiply(sk_c7, identity) = multiply(sk_c6, sk_c4)),
% 34.49/34.64 inference(transitivity,[status(thm)],[203, 202, 199])).
% 34.49/34.64 tff(205,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, identity), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[204])).
% 34.49/34.64 tff(206,plain,
% 34.49/34.64 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c7, identity), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(symmetry,[status(thm)],[205])).
% 34.49/34.64 tff(207,plain,
% 34.49/34.64 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 34.49/34.64 inference(rewrite,[status(thm)],[])).
% 34.49/34.64 tff(208,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 34.49/34.64 tff(209,plain,
% 34.49/34.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.49/34.64 inference(modus_ponens,[status(thm)],[208, 207])).
% 34.49/34.64 tff(210,plain,
% 34.49/34.64 (multiply(sk_c5, sk_c6) = sk_c7),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[209, 13])).
% 34.49/34.64 tff(211,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, sk_c6), sk_c4) = multiply(sk_c7, sk_c4)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[210])).
% 34.49/34.64 tff(212,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c4) = multiply(sk_c5, multiply(sk_c6, sk_c4)))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(213,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, sk_c6), sk_c4) = multiply(sk_c5, multiply(sk_c6, sk_c4))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[212, 57])).
% 34.49/34.64 tff(214,plain,
% 34.49/34.64 (multiply(sk_c5, multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c5, sk_c6), sk_c4)),
% 34.49/34.64 inference(symmetry,[status(thm)],[213])).
% 34.49/34.64 tff(215,plain,
% 34.49/34.64 (multiply(sk_c5, multiply(sk_c6, sk_c4)) = multiply(sk_c7, sk_c4)),
% 34.49/34.64 inference(transitivity,[status(thm)],[214, 211])).
% 34.49/34.64 tff(216,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c7, sk_c4))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[215])).
% 34.49/34.64 tff(217,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4)))),
% 34.49/34.64 inference(symmetry,[status(thm)],[216])).
% 34.49/34.64 tff(218,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c7), sk_c4) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c7, sk_c4)))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(219,plain,
% 34.49/34.64 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c7), sk_c4) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c7, sk_c4))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[218, 57])).
% 34.49/34.64 tff(220,plain,
% 34.49/34.64 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 34.49/34.64 inference(rewrite,[status(thm)],[])).
% 34.49/34.64 tff(221,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 34.49/34.64 tff(222,plain,
% 34.49/34.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.49/34.64 inference(modus_ponens,[status(thm)],[221, 220])).
% 34.49/34.64 tff(223,plain,
% 34.49/34.64 (multiply(sk_c4, sk_c7) = sk_c8),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[222, 13])).
% 34.49/34.64 tff(224,plain,
% 34.49/34.64 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c8)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[223])).
% 34.49/34.64 tff(225,plain,
% 34.49/34.64 ((~![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)))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(226,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[225, 57])).
% 34.49/34.64 tff(227,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[215])).
% 34.49/34.64 tff(228,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c7) = sk_c6),
% 34.49/34.64 inference(transitivity,[status(thm)],[227, 226, 224, 196])).
% 34.49/34.64 tff(229,plain,
% 34.49/34.64 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c7), sk_c4) = multiply(sk_c6, sk_c4)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[228])).
% 34.49/34.64 tff(230,plain,
% 34.49/34.64 (multiply(sk_c6, sk_c4) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c7), sk_c4)),
% 34.49/34.64 inference(symmetry,[status(thm)],[229])).
% 34.49/34.64 tff(231,plain,
% 34.49/34.64 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4)))),
% 34.49/34.64 inference(transitivity,[status(thm)],[230, 219, 217])).
% 34.49/34.64 tff(232,plain,
% 34.49/34.64 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4))), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[231])).
% 34.49/34.64 tff(233,plain,
% 34.49/34.64 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4))), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(symmetry,[status(thm)],[232])).
% 34.49/34.64 tff(234,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4))), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(235,plain,
% 34.49/34.64 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4))), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[234, 57])).
% 34.49/34.64 tff(236,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(sk_c6, sk_c4))), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(symmetry,[status(thm)],[235])).
% 34.49/34.64 tff(237,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[215])).
% 34.49/34.64 tff(238,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[237])).
% 34.49/34.64 tff(239,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(symmetry,[status(thm)],[238])).
% 34.49/34.64 tff(240,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(241,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[240, 57])).
% 34.49/34.64 tff(242,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(symmetry,[status(thm)],[237])).
% 34.49/34.64 tff(243,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(transitivity,[status(thm)],[242, 241])).
% 34.49/34.64 tff(244,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[243])).
% 34.49/34.64 tff(245,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(symmetry,[status(thm)],[244])).
% 34.49/34.64 tff(246,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(247,plain,
% 34.49/34.64 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[246, 57])).
% 34.49/34.64 tff(248,plain,
% 34.49/34.64 (multiply(sk_c5, inverse(sk_c5)) = multiply(sk_c5, sk_c7)),
% 34.49/34.64 inference(symmetry,[status(thm)],[61])).
% 34.49/34.64 tff(249,plain,
% 34.49/34.64 (multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[248])).
% 34.49/34.64 tff(250,plain,
% 34.49/34.64 (multiply(sk_c4, multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(symmetry,[status(thm)],[249])).
% 34.49/34.64 tff(251,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(252,plain,
% 34.49/34.64 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[251, 57])).
% 34.49/34.64 tff(253,plain,
% 34.49/34.64 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(transitivity,[status(thm)],[252, 250])).
% 34.49/34.64 tff(254,plain,
% 34.49/34.64 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[253])).
% 34.49/34.64 tff(255,plain,
% 34.49/34.64 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.64 inference(symmetry,[status(thm)],[254])).
% 34.49/34.64 tff(256,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(257,plain,
% 34.49/34.64 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[256, 57])).
% 34.49/34.64 tff(258,plain,
% 34.49/34.64 (multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.64 inference(transitivity,[status(thm)],[257, 255])).
% 34.49/34.64 tff(259,plain,
% 34.49/34.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c5)))),
% 34.49/34.64 inference(quant_inst,[status(thm)],[])).
% 34.49/34.64 tff(260,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, sk_c4), sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 34.49/34.64 inference(unit_resolution,[status(thm)],[259, 57])).
% 34.49/34.64 tff(261,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5) = multiply(multiply(sk_c7, sk_c4), sk_c5)),
% 34.49/34.64 inference(monotonicity,[status(thm)],[215])).
% 34.49/34.64 tff(262,plain,
% 34.49/34.64 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 34.49/34.64 inference(transitivity,[status(thm)],[261, 260])).
% 34.49/34.64 tff(263,plain,
% 34.49/34.64 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 34.49/34.64 inference(monotonicity,[status(thm)],[262, 258])).
% 34.49/34.64 tff(264,plain,
% 34.49/34.64 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.64 inference(symmetry,[status(thm)],[263])).
% 34.49/34.64 tff(265,plain,
% 34.49/34.64 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.64 inference(symmetry,[status(thm)],[257])).
% 34.49/34.65 tff(266,plain,
% 34.49/34.65 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)) = sk_c7),
% 34.49/34.65 inference(transitivity,[status(thm)],[254, 265, 206, 70, 68, 63, 60, 50, 35, 11])).
% 34.49/34.65 tff(267,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[266])).
% 34.49/34.65 tff(268,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[267])).
% 34.49/34.65 tff(269,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, sk_c4), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5)),
% 34.49/34.65 inference(symmetry,[status(thm)],[261])).
% 34.49/34.65 tff(270,plain,
% 34.49/34.65 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c7, sk_c4), sk_c5)),
% 34.49/34.65 inference(symmetry,[status(thm)],[260])).
% 34.49/34.65 tff(271,plain,
% 34.49/34.65 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5)),
% 34.49/34.65 inference(transitivity,[status(thm)],[270, 269])).
% 34.49/34.65 tff(272,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), sk_c7)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[271])).
% 34.49/34.65 tff(273,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7)),
% 34.49/34.65 inference(symmetry,[status(thm)],[272])).
% 34.49/34.65 tff(274,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, sk_c7)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(275,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, sk_c7))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[274, 57])).
% 34.49/34.65 tff(276,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), sk_c5), sk_c7)),
% 34.49/34.65 inference(symmetry,[status(thm)],[275])).
% 34.49/34.65 tff(277,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[215, 61])).
% 34.49/34.65 tff(278,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, sk_c7))),
% 34.49/34.65 inference(symmetry,[status(thm)],[277])).
% 34.49/34.65 tff(279,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), identity) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c4))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[33])).
% 34.49/34.65 tff(280,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c5, inverse(sk_c5)), identity)),
% 34.49/34.65 inference(symmetry,[status(thm)],[279])).
% 34.49/34.65 tff(281,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c4) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c4)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(282,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c4) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c4))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[281, 57])).
% 34.49/34.65 tff(283,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8) = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[248])).
% 34.49/34.65 tff(284,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8)),
% 34.49/34.65 inference(symmetry,[status(thm)],[283])).
% 34.49/34.65 tff(285,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c8)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(286,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c8))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[285, 57])).
% 34.49/34.65 tff(287,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 34.49/34.65 inference(symmetry,[status(thm)],[286])).
% 34.49/34.65 tff(288,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c7, sk_c8)) = multiply(sk_c5, sk_c6)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[196])).
% 34.49/34.65 tff(289,plain,
% 34.49/34.65 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c8))),
% 34.49/34.65 inference(symmetry,[status(thm)],[288])).
% 34.49/34.65 tff(290,plain,
% 34.49/34.65 (sk_c7 = multiply(sk_c5, sk_c6)),
% 34.49/34.65 inference(symmetry,[status(thm)],[210])).
% 34.49/34.65 tff(291,plain,
% 34.49/34.65 (sk_c7 = multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8)),
% 34.49/34.65 inference(transitivity,[status(thm)],[290, 289, 287, 284])).
% 34.49/34.65 tff(292,plain,
% 34.49/34.65 (multiply(sk_c7, sk_c4) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c4)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[291])).
% 34.49/34.65 tff(293,plain,
% 34.49/34.65 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c5, inverse(sk_c5)), identity)),
% 34.49/34.65 inference(transitivity,[status(thm)],[292, 282, 280])).
% 34.49/34.65 tff(294,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[293])).
% 34.49/34.65 tff(295,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[294])).
% 34.49/34.65 tff(296,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(297,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[296, 57])).
% 34.49/34.65 tff(298,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[297])).
% 34.49/34.65 tff(299,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[65])).
% 34.49/34.65 tff(300,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.65 inference(symmetry,[status(thm)],[299])).
% 34.49/34.65 tff(301,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[248])).
% 34.49/34.65 tff(302,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[301])).
% 34.49/34.65 tff(303,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(304,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[303, 57])).
% 34.49/34.65 tff(305,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[304])).
% 34.49/34.65 tff(306,plain,
% 34.49/34.65 (multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))) = inverse(sk_c5)),
% 34.49/34.65 inference(transitivity,[status(thm)],[63, 60, 50, 35, 11, 42])).
% 34.49/34.65 tff(307,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))) = multiply(sk_c5, inverse(sk_c5))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[306])).
% 34.49/34.65 tff(308,plain,
% 34.49/34.65 (multiply(sk_c5, inverse(sk_c5)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.65 inference(symmetry,[status(thm)],[307])).
% 34.49/34.65 tff(309,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7) = multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(310,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7) = multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[309, 57])).
% 34.49/34.65 tff(311,plain,
% 34.49/34.65 (multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7)) = multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7)),
% 34.49/34.65 inference(symmetry,[status(thm)],[310])).
% 34.49/34.65 tff(312,plain,
% 34.49/34.65 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[290])).
% 34.49/34.65 tff(313,plain,
% 34.49/34.65 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c7)),
% 34.49/34.65 inference(symmetry,[status(thm)],[312])).
% 34.49/34.65 tff(314,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(315,plain,
% 34.49/34.65 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[314, 57])).
% 34.49/34.65 tff(316,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, sk_c4), sk_c7) = sk_c6),
% 34.49/34.65 inference(transitivity,[status(thm)],[226, 224, 196])).
% 34.49/34.65 tff(317,plain,
% 34.49/34.65 (multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, sk_c4), sk_c7)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[316])).
% 34.49/34.65 tff(318,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, sk_c4), sk_c7)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(319,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, sk_c4), sk_c7))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[318, 57])).
% 34.49/34.65 tff(320,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7) = sk_c8),
% 34.49/34.65 inference(transitivity,[status(thm)],[319, 317, 315, 313, 223])).
% 34.49/34.65 tff(321,plain,
% 34.49/34.65 (multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7)) = multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), sk_c8)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[320])).
% 34.49/34.65 tff(322,plain,
% 34.49/34.65 (multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), sk_c8) = multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4)), sk_c7))),
% 34.49/34.65 inference(symmetry,[status(thm)],[321])).
% 34.49/34.65 tff(323,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c5), multiply(sk_c7, sk_c8)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(324,plain,
% 34.49/34.65 (multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c5), multiply(sk_c7, sk_c8))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[323, 57])).
% 34.49/34.65 tff(325,plain,
% 34.49/34.65 (multiply(multiply(inverse(sk_c7), sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), sk_c8)),
% 34.49/34.65 inference(symmetry,[status(thm)],[324])).
% 34.49/34.65 tff(326,plain,
% 34.49/34.65 (multiply(multiply(inverse(sk_c7), sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(inverse(sk_c7), sk_c5), sk_c6)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[196])).
% 34.49/34.65 tff(327,plain,
% 34.49/34.65 (multiply(multiply(inverse(sk_c7), sk_c5), sk_c6) = multiply(multiply(inverse(sk_c7), sk_c5), multiply(sk_c7, sk_c8))),
% 34.49/34.65 inference(symmetry,[status(thm)],[326])).
% 34.49/34.65 tff(328,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c5), sk_c6) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c6)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(329,plain,
% 34.49/34.65 (multiply(multiply(inverse(sk_c7), sk_c5), sk_c6) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c6))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[328, 57])).
% 34.49/34.65 tff(330,plain,
% 34.49/34.65 (multiply(inverse(sk_c7), multiply(sk_c5, sk_c6)) = multiply(multiply(inverse(sk_c7), sk_c5), sk_c6)),
% 34.49/34.65 inference(symmetry,[status(thm)],[329])).
% 34.49/34.65 tff(331,plain,
% 34.49/34.65 (multiply(inverse(sk_c7), multiply(sk_c5, sk_c6)) = multiply(inverse(sk_c7), sk_c7)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[210])).
% 34.49/34.65 tff(332,plain,
% 34.49/34.65 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c6))),
% 34.49/34.65 inference(symmetry,[status(thm)],[331])).
% 34.49/34.65 tff(333,plain,
% 34.49/34.65 (identity = multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7)),
% 34.49/34.65 inference(transitivity,[status(thm)],[165, 332, 330, 327, 325, 322, 311])).
% 34.49/34.65 tff(334,plain,
% 34.49/34.65 (multiply(identity, multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[333])).
% 34.49/34.65 tff(335,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7), multiply(sk_c5, inverse(sk_c5))) = multiply(identity, multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[334])).
% 34.49/34.65 tff(336,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(337,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[336, 57])).
% 34.49/34.65 tff(338,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[337])).
% 34.49/34.65 tff(339,plain,
% 34.49/34.65 (multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))) = sk_c7),
% 34.49/34.65 inference(transitivity,[status(thm)],[63, 60, 50, 35, 11])).
% 34.49/34.65 tff(340,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), multiply(sk_c7, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[339])).
% 34.49/34.65 tff(341,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), sk_c7) = multiply(multiply(multiply(multiply(inverse(sk_c7), sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c4))), multiply(sk_c7, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.65 inference(symmetry,[status(thm)],[340])).
% 34.49/34.65 tff(342,plain,
% 34.49/34.65 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(343,plain,
% 34.49/34.65 (multiply(identity, sk_c5) = sk_c5),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[342, 7])).
% 34.49/34.65 tff(344,plain,
% 34.49/34.65 (multiply(sk_c7, multiply(identity, sk_c5)) = multiply(inverse(sk_c5), sk_c5)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[42, 343])).
% 34.49/34.65 tff(345,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c5) = multiply(sk_c7, multiply(identity, sk_c5)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(346,plain,
% 34.49/34.65 (multiply(multiply(sk_c7, identity), sk_c5) = multiply(sk_c7, multiply(identity, sk_c5))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[345, 57])).
% 34.49/34.65 tff(347,plain,
% 34.49/34.65 (multiply(sk_c7, multiply(sk_c8, sk_c4)) = multiply(sk_c7, identity)),
% 34.49/34.65 inference(symmetry,[status(thm)],[203])).
% 34.49/34.65 tff(348,plain,
% 34.49/34.65 (multiply(sk_c6, sk_c4) = multiply(sk_c7, identity)),
% 34.49/34.65 inference(transitivity,[status(thm)],[198, 201, 347])).
% 34.49/34.65 tff(349,plain,
% 34.49/34.65 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(sk_c7, identity), sk_c5)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[348])).
% 34.49/34.65 tff(350,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c4), sk_c7)) = multiply(sk_c5, sk_c6)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[316])).
% 34.49/34.65 tff(351,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c7) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c4), sk_c7)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(352,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c7) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c4), sk_c7))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[351, 57])).
% 34.49/34.65 tff(353,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c7) = inverse(sk_c5)),
% 34.49/34.65 inference(transitivity,[status(thm)],[352, 350, 210, 42])).
% 34.49/34.65 tff(354,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[353])).
% 34.49/34.65 tff(355,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c7), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), multiply(sk_c7, sk_c5)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(356,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c7), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), multiply(sk_c7, sk_c5))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[355, 57])).
% 34.49/34.65 tff(357,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c7), sk_c5)),
% 34.49/34.65 inference(symmetry,[status(thm)],[356])).
% 34.49/34.65 tff(358,plain,
% 34.49/34.65 (identity = multiply(sk_c7, sk_c5)),
% 34.49/34.65 inference(transitivity,[status(thm)],[47, 44])).
% 34.49/34.65 tff(359,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, sk_c4))) = multiply(sk_c5, multiply(sk_c7, sk_c4))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[215])).
% 34.49/34.65 tff(360,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, sk_c4))))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(361,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, sk_c4)))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[360, 57])).
% 34.49/34.65 tff(362,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)) = multiply(sk_c5, multiply(sk_c7, sk_c4))),
% 34.49/34.65 inference(transitivity,[status(thm)],[361, 359])).
% 34.49/34.65 tff(363,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), identity) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), multiply(sk_c7, sk_c5))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[362, 358])).
% 34.49/34.65 tff(364,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), identity) = identity),
% 34.49/34.65 inference(transitivity,[status(thm)],[363, 357, 354, 46])).
% 34.49/34.65 tff(365,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), identity), sk_c5) = multiply(identity, sk_c5)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[364])).
% 34.49/34.65 tff(366,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), identity), sk_c5) = multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), multiply(identity, sk_c5)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(367,plain,
% 34.49/34.65 (multiply(multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), identity), sk_c5) = multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), multiply(identity, sk_c5))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[366, 57])).
% 34.49/34.65 tff(368,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), multiply(identity, sk_c5)) = multiply(multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), identity), sk_c5)),
% 34.49/34.65 inference(symmetry,[status(thm)],[367])).
% 34.49/34.65 tff(369,plain,
% 34.49/34.65 (sk_c5 = multiply(identity, sk_c5)),
% 34.49/34.65 inference(symmetry,[status(thm)],[343])).
% 34.49/34.65 tff(370,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, sk_c4))) = multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4))),
% 34.49/34.65 inference(symmetry,[status(thm)],[361])).
% 34.49/34.65 tff(371,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c7, sk_c4)) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c6, sk_c4)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[359])).
% 34.49/34.65 tff(372,plain,
% 34.49/34.65 (multiply(sk_c5, multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4))),
% 34.49/34.65 inference(transitivity,[status(thm)],[371, 370])).
% 34.49/34.65 tff(373,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c5) = multiply(multiply(multiply(sk_c5, sk_c5), multiply(sk_c6, sk_c4)), multiply(identity, sk_c5))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[372, 369])).
% 34.49/34.65 tff(374,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c4) = multiply(sk_c5, multiply(sk_c7, sk_c4)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(375,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c7), sk_c4) = multiply(sk_c5, multiply(sk_c7, sk_c4))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[374, 57])).
% 34.49/34.65 tff(376,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, sk_c7), sk_c4) = multiply(multiply(sk_c5, inverse(sk_c5)), sk_c4)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[61])).
% 34.49/34.65 tff(377,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), sk_c4) = multiply(multiply(sk_c5, sk_c7), sk_c4)),
% 34.49/34.65 inference(symmetry,[status(thm)],[376])).
% 34.49/34.65 tff(378,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), sk_c4) = multiply(sk_c5, multiply(sk_c7, sk_c4))),
% 34.49/34.65 inference(transitivity,[status(thm)],[377, 375])).
% 34.49/34.65 tff(379,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c4), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c4)), sk_c5)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[378])).
% 34.49/34.65 tff(380,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c4), sk_c5) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(381,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c4), sk_c5) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[380, 57])).
% 34.49/34.65 tff(382,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c4), sk_c5)),
% 34.49/34.65 inference(symmetry,[status(thm)],[381])).
% 34.49/34.65 tff(383,plain,
% 34.49/34.65 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)) = sk_c5),
% 34.49/34.65 inference(transitivity,[status(thm)],[382, 379, 373, 368, 365, 343])).
% 34.49/34.65 tff(384,plain,
% 34.49/34.65 (multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 34.49/34.65 inference(monotonicity,[status(thm)],[383])).
% 34.49/34.65 tff(385,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5))) = multiply(sk_c6, multiply(sk_c4, multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)))))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(386,plain,
% 34.49/34.65 (multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5))) = multiply(sk_c6, multiply(sk_c4, multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5))))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[385, 57])).
% 34.49/34.65 tff(387,plain,
% 34.49/34.65 (multiply(sk_c6, multiply(sk_c4, multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c6, sk_c4), multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)))),
% 34.49/34.65 inference(symmetry,[status(thm)],[386])).
% 34.49/34.65 tff(388,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))), multiply(sk_c4, sk_c5)) = multiply(sk_c4, multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5))))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(389,plain,
% 34.49/34.65 (multiply(multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))), multiply(sk_c4, sk_c5)) = multiply(sk_c4, multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[388, 57])).
% 34.49/34.65 tff(390,plain,
% 34.49/34.65 (multiply(sk_c4, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 34.49/34.65 inference(symmetry,[status(thm)],[252])).
% 34.49/34.65 tff(391,plain,
% 34.49/34.65 (multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 34.49/34.65 inference(transitivity,[status(thm)],[249, 390])).
% 34.49/34.65 tff(392,plain,
% 34.49/34.65 (multiply(multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))), multiply(sk_c4, sk_c5)) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(sk_c4, sk_c5))),
% 34.49/34.65 inference(monotonicity,[status(thm)],[391])).
% 34.49/34.65 tff(393,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))), multiply(sk_c4, sk_c5))),
% 34.49/34.65 inference(symmetry,[status(thm)],[392])).
% 34.49/34.65 tff(394,plain,
% 34.49/34.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))))),
% 34.49/34.65 inference(quant_inst,[status(thm)],[])).
% 34.49/34.65 tff(395,plain,
% 34.49/34.65 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5)))),
% 34.49/34.65 inference(unit_resolution,[status(thm)],[394, 57])).
% 34.49/34.65 tff(396,plain,
% 34.49/34.65 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(sk_c4, sk_c5))),
% 34.49/34.66 inference(symmetry,[status(thm)],[395])).
% 34.49/34.66 tff(397,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))) = multiply(sk_c4, multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5)))),
% 34.49/34.66 inference(transitivity,[status(thm)],[396, 393, 389])).
% 34.49/34.66 tff(398,plain,
% 34.49/34.66 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5)))) = multiply(sk_c6, multiply(sk_c4, multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c4, sk_c5))))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[397])).
% 34.49/34.66 tff(399,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(sk_c4, sk_c5))) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5)))))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(400,plain,
% 34.49/34.66 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(sk_c4, sk_c5))) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[399, 57])).
% 34.49/34.66 tff(401,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), sk_c7), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(sk_c4, sk_c5))))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(402,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), sk_c7), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(sk_c4, sk_c5)))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[401, 57])).
% 34.49/34.66 tff(403,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), sk_c7) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(404,plain,
% 34.49/34.66 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), sk_c7) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[403, 57])).
% 34.49/34.66 tff(405,plain,
% 34.49/34.66 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), sk_c7)),
% 34.49/34.66 inference(symmetry,[status(thm)],[404])).
% 34.49/34.66 tff(406,plain,
% 34.49/34.66 (multiply(multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)), multiply(sk_c4, sk_c5)) = multiply(multiply(multiply(sk_c6, multiply(sk_c4, sk_c5)), sk_c7), multiply(sk_c4, sk_c5))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[405])).
% 34.49/34.66 tff(407,plain,
% 34.49/34.66 (multiply(sk_c7, multiply(identity, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c7, identity), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.66 inference(symmetry,[status(thm)],[70])).
% 34.49/34.66 tff(408,plain,
% 34.49/34.66 (sk_c7 = multiply(identity, sk_c7)),
% 34.49/34.66 inference(symmetry,[status(thm)],[11])).
% 34.49/34.66 tff(409,plain,
% 34.49/34.66 (sk_c7 = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.66 inference(transitivity,[status(thm)],[408, 34, 49, 59, 62, 67, 407, 205, 257, 255])).
% 34.49/34.66 tff(410,plain,
% 34.49/34.66 (multiply(sk_c7, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)), multiply(sk_c4, sk_c5))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[409])).
% 34.49/34.66 tff(411,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c4) = multiply(sk_c7, sk_c4)),
% 34.49/34.66 inference(symmetry,[status(thm)],[292])).
% 34.49/34.66 tff(412,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c4)) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c4)),
% 34.49/34.66 inference(symmetry,[status(thm)],[282])).
% 34.49/34.66 tff(413,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, inverse(sk_c5)), identity) = multiply(sk_c7, sk_c4)),
% 34.49/34.66 inference(transitivity,[status(thm)],[279, 412, 411])).
% 34.49/34.66 tff(414,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), sk_c5) = multiply(multiply(sk_c7, sk_c4), sk_c5)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[413])).
% 34.49/34.66 tff(415,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), sk_c5) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, sk_c5)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(416,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), sk_c5) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, sk_c5))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[415, 57])).
% 34.49/34.66 tff(417,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, sk_c5)) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), identity), sk_c5)),
% 34.49/34.66 inference(symmetry,[status(thm)],[416])).
% 34.49/34.66 tff(418,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, inverse(sk_c5)), sk_c5) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(identity, sk_c5))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[369])).
% 34.49/34.66 tff(419,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(multiply(sk_c5, inverse(sk_c5)), sk_c5)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[61])).
% 34.49/34.66 tff(420,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(421,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[420, 57])).
% 34.49/34.66 tff(422,plain,
% 34.49/34.66 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), sk_c5)),
% 34.49/34.66 inference(symmetry,[status(thm)],[421])).
% 34.49/34.66 tff(423,plain,
% 34.49/34.66 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[358])).
% 34.49/34.66 tff(424,plain,
% 34.49/34.66 (multiply(sk_c8, sk_c4) = identity),
% 34.49/34.66 inference(transitivity,[status(thm)],[21, 31])).
% 34.49/34.66 tff(425,plain,
% 34.49/34.66 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(identity, multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[424])).
% 34.49/34.66 tff(426,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(427,plain,
% 34.49/34.66 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[426, 57])).
% 34.49/34.66 tff(428,plain,
% 34.49/34.66 (multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.66 inference(symmetry,[status(thm)],[427])).
% 34.49/34.66 tff(429,plain,
% 34.49/34.66 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[253])).
% 34.49/34.66 tff(430,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), sk_c6) = sk_c8),
% 34.49/34.66 inference(transitivity,[status(thm)],[315, 313, 223])).
% 34.49/34.66 tff(431,plain,
% 34.49/34.66 (multiply(sk_c7, multiply(multiply(sk_c4, sk_c5), sk_c6)) = multiply(sk_c7, sk_c8)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[430])).
% 34.49/34.66 tff(432,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c4, sk_c5), sk_c6)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(433,plain,
% 34.49/34.66 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c4, sk_c5), sk_c6))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[432, 57])).
% 34.49/34.66 tff(434,plain,
% 34.49/34.66 (multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c6) = sk_c6),
% 34.49/34.66 inference(transitivity,[status(thm)],[433, 431, 196])).
% 34.49/34.66 tff(435,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c6)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[434])).
% 34.49/34.66 tff(436,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c6)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(437,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c6))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[436, 57])).
% 34.49/34.66 tff(438,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6) = sk_c8),
% 34.49/34.66 inference(transitivity,[status(thm)],[437, 435, 315, 313, 223])).
% 34.49/34.66 tff(439,plain,
% 34.49/34.66 (multiply(multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[438, 390])).
% 34.49/34.66 tff(440,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(441,plain,
% 34.49/34.66 (multiply(multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7))))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[440, 57])).
% 34.49/34.66 tff(442,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 34.49/34.66 inference(symmetry,[status(thm)],[441])).
% 34.49/34.66 tff(443,plain,
% 34.49/34.66 (multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[390])).
% 34.49/34.66 tff(444,plain,
% 34.49/34.66 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 34.49/34.66 inference(symmetry,[status(thm)],[443])).
% 34.49/34.66 tff(445,plain,
% 34.49/34.66 (sk_c7 = multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 34.49/34.66 inference(transitivity,[status(thm)],[408, 34, 49, 59, 62, 67, 407, 205, 257, 255, 444])).
% 34.49/34.66 tff(446,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c7) = multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7))))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[445])).
% 34.49/34.66 tff(447,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c7) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(448,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c7) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[447, 57])).
% 34.49/34.66 tff(449,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c7)),
% 34.49/34.66 inference(symmetry,[status(thm)],[448])).
% 34.49/34.66 tff(450,plain,
% 34.49/34.66 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7)),
% 34.49/34.66 inference(transitivity,[status(thm)],[278, 276, 273])).
% 34.49/34.66 tff(451,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[450])).
% 34.49/34.66 tff(452,plain,
% 34.49/34.66 (multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c6, sk_c4)), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.66 inference(symmetry,[status(thm)],[241])).
% 34.49/34.66 tff(453,plain,
% 34.49/34.66 (multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.66 inference(transitivity,[status(thm)],[452, 237])).
% 34.49/34.66 tff(454,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[453])).
% 34.49/34.66 tff(455,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(456,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[455, 57])).
% 34.49/34.66 tff(457,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c5)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(458,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c5))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[457, 57])).
% 34.49/34.66 tff(459,plain,
% 34.49/34.66 (multiply(sk_c4, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c4, sk_c5), sk_c5)),
% 34.49/34.66 inference(symmetry,[status(thm)],[458])).
% 34.49/34.66 tff(460,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[459])).
% 34.49/34.66 tff(461,plain,
% 34.49/34.66 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.66 inference(transitivity,[status(thm)],[254, 265])).
% 34.49/34.66 tff(462,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[461])).
% 34.49/34.66 tff(463,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[443])).
% 34.49/34.66 tff(464,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(465,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7))))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[464, 57])).
% 34.49/34.66 tff(466,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c5), sk_c6)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(467,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c5), sk_c6))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[466, 57])).
% 34.49/34.66 tff(468,plain,
% 34.49/34.66 (multiply(sk_c4, multiply(multiply(sk_c5, sk_c5), sk_c6)) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6)),
% 34.49/34.66 inference(symmetry,[status(thm)],[467])).
% 34.49/34.66 tff(469,plain,
% 34.49/34.66 (multiply(sk_c5, sk_c6) = inverse(sk_c5)),
% 34.49/34.66 inference(transitivity,[status(thm)],[210, 42])).
% 34.49/34.66 tff(470,plain,
% 34.49/34.66 (multiply(sk_c5, multiply(sk_c5, sk_c6)) = multiply(sk_c5, inverse(sk_c5))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[469])).
% 34.49/34.66 tff(471,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(472,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[471, 57])).
% 34.49/34.66 tff(473,plain,
% 34.49/34.66 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, inverse(sk_c5))),
% 34.49/34.66 inference(transitivity,[status(thm)],[472, 470])).
% 34.49/34.66 tff(474,plain,
% 34.49/34.66 (multiply(sk_c4, multiply(multiply(sk_c5, sk_c5), sk_c6)) = multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[473])).
% 34.49/34.66 tff(475,plain,
% 34.49/34.66 (multiply(sk_c4, multiply(sk_c5, inverse(sk_c5))) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c5), sk_c6))),
% 34.49/34.66 inference(symmetry,[status(thm)],[474])).
% 34.49/34.66 tff(476,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6)),
% 34.49/34.66 inference(transitivity,[status(thm)],[252, 250, 475, 468])).
% 34.49/34.66 tff(477,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[476, 252])).
% 34.49/34.66 tff(478,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 34.49/34.66 inference(transitivity,[status(thm)],[467, 474, 249, 390])).
% 34.49/34.66 tff(479,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6)) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[390, 478])).
% 34.49/34.66 tff(480,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c5))), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(481,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c5))), sk_c6) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[480, 57])).
% 34.49/34.66 tff(482,plain,
% 34.49/34.66 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c5))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[390, 459])).
% 34.49/34.66 tff(483,plain,
% 34.49/34.66 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c5)))),
% 34.49/34.66 inference(symmetry,[status(thm)],[482])).
% 34.49/34.66 tff(484,plain,
% 34.49/34.66 (multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), sk_c6) = multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c5))), sk_c6)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[483])).
% 34.49/34.66 tff(485,plain,
% 34.49/34.66 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(486,plain,
% 34.49/34.66 (multiply(identity, sk_c6) = sk_c6),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[485, 7])).
% 34.49/34.66 tff(487,plain,
% 34.49/34.66 (multiply(sk_c7, sk_c5) = identity),
% 34.49/34.66 inference(transitivity,[status(thm)],[43, 46])).
% 34.49/34.66 tff(488,plain,
% 34.49/34.66 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(identity, sk_c6)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[487])).
% 34.49/34.66 tff(489,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c6)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(490,plain,
% 34.49/34.66 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[489, 57])).
% 34.49/34.66 tff(491,plain,
% 34.49/34.66 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 34.49/34.66 inference(symmetry,[status(thm)],[490])).
% 34.49/34.66 tff(492,plain,
% 34.49/34.66 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c6))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[290])).
% 34.49/34.66 tff(493,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(494,plain,
% 34.49/34.66 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[493, 57])).
% 34.49/34.66 tff(495,plain,
% 34.49/34.66 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 34.49/34.66 inference(symmetry,[status(thm)],[494])).
% 34.49/34.66 tff(496,plain,
% 34.49/34.66 (sk_c8 = multiply(sk_c4, sk_c7)),
% 34.49/34.66 inference(symmetry,[status(thm)],[223])).
% 34.49/34.66 tff(497,plain,
% 34.49/34.66 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 34.49/34.66 inference(monotonicity,[status(thm)],[496])).
% 34.49/34.66 tff(498,plain,
% 34.49/34.66 (multiply(sk_c8, sk_c8) = sk_c7),
% 34.49/34.66 inference(transitivity,[status(thm)],[497, 495, 35, 11])).
% 34.49/34.66 tff(499,plain,
% 34.49/34.66 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, sk_c7)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[498])).
% 34.49/34.66 tff(500,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(501,plain,
% 34.49/34.66 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 34.49/34.66 inference(unit_resolution,[status(thm)],[500, 57])).
% 34.49/34.66 tff(502,plain,
% 34.49/34.66 (multiply(sk_c6, sk_c8) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[197])).
% 34.49/34.66 tff(503,plain,
% 34.49/34.66 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)) = multiply(sk_c6, sk_c8)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[430])).
% 34.49/34.66 tff(504,plain,
% 34.49/34.66 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)) = sk_c6),
% 34.49/34.66 inference(transitivity,[status(thm)],[503, 502, 501, 499, 492, 491, 488, 486])).
% 34.49/34.66 tff(505,plain,
% 34.49/34.66 (multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6))) = multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), sk_c6)),
% 34.49/34.66 inference(monotonicity,[status(thm)],[504])).
% 34.49/34.66 tff(506,plain,
% 34.49/34.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)))))),
% 34.49/34.66 inference(quant_inst,[status(thm)],[])).
% 34.49/34.66 tff(507,plain,
% 34.49/34.66 (multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6))))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[506, 57])).
% 34.49/34.67 tff(508,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)))) = multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[507])).
% 34.49/34.67 tff(509,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, sk_c8))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[503])).
% 34.49/34.67 tff(510,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[509])).
% 34.49/34.67 tff(511,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(sk_c6, sk_c8))))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(512,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(sk_c6, sk_c8)))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[511, 57])).
% 34.49/34.67 tff(513,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(sk_c6, sk_c8))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, sk_c8))),
% 34.49/34.67 inference(symmetry,[status(thm)],[512])).
% 34.49/34.67 tff(514,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c7, sk_c8)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[210])).
% 34.49/34.67 tff(515,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c5, multiply(sk_c6, sk_c8)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(516,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c5, multiply(sk_c6, sk_c8))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[515, 57])).
% 34.49/34.67 tff(517,plain,
% 34.49/34.67 (multiply(sk_c5, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[516])).
% 34.49/34.67 tff(518,plain,
% 34.49/34.67 (multiply(sk_c5, multiply(sk_c6, sk_c8)) = sk_c6),
% 34.49/34.67 inference(transitivity,[status(thm)],[517, 514, 196])).
% 34.49/34.67 tff(519,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(sk_c6, sk_c8))) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[518])).
% 34.49/34.67 tff(520,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(sk_c6, sk_c8)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[519])).
% 34.49/34.67 tff(521,plain,
% 34.49/34.67 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 34.49/34.67 inference(symmetry,[status(thm)],[315])).
% 34.49/34.67 tff(522,plain,
% 34.49/34.67 (sk_c8 = multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)))),
% 34.49/34.67 inference(transitivity,[status(thm)],[496, 312, 521, 520, 513, 510])).
% 34.49/34.67 tff(523,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6))))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[522])).
% 34.49/34.67 tff(524,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), sk_c8) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c8)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(525,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), sk_c8) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c8))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[524, 57])).
% 34.49/34.67 tff(526,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[525])).
% 34.49/34.67 tff(527,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c8))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[197])).
% 34.49/34.67 tff(528,plain,
% 34.49/34.67 (sk_c8 = identity),
% 34.49/34.67 inference(transitivity,[status(thm)],[496, 312, 521, 527, 526, 523, 508, 505, 484, 481, 479, 477, 465, 463, 462, 460, 456, 454, 451, 449, 446, 442, 439, 429, 428, 425, 334, 337, 340, 310, 321, 324, 326, 329, 331, 117])).
% 34.49/34.67 tff(529,plain,
% 34.49/34.67 (multiply(sk_c5, sk_c8) = multiply(sk_c5, identity)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[528])).
% 34.49/34.67 tff(530,plain,
% 34.49/34.67 (multiply(sk_c5, sk_c8) = sk_c7),
% 34.49/34.67 inference(transitivity,[status(thm)],[529, 423, 422, 419, 418, 417, 414, 260, 410, 406, 402, 400, 398, 387, 384, 349, 346, 344, 46, 165, 332, 330, 327, 325, 322, 311, 341, 338, 335, 65, 308, 305, 302, 300, 298, 295, 278, 276, 273, 268, 264, 247, 245, 239, 236, 233, 206, 70, 68, 63, 60, 50, 35, 11])).
% 34.49/34.67 tff(531,plain,
% 34.49/34.67 ((sk_c7 = inverse(sk_c4)) <=> (inverse(sk_c4) = sk_c7)),
% 34.49/34.67 inference(commutativity,[status(thm)],[])).
% 34.49/34.67 tff(532,plain,
% 34.49/34.67 ((inverse(sk_c5) = sk_c8) <=> (sk_c7 = inverse(sk_c4))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[41, 20])).
% 34.49/34.67 tff(533,plain,
% 34.49/34.67 ((inverse(sk_c5) = sk_c8) <=> (inverse(sk_c4) = sk_c7)),
% 34.49/34.67 inference(transitivity,[status(thm)],[532, 531])).
% 34.49/34.67 tff(534,plain,
% 34.49/34.67 ((inverse(sk_c4) = sk_c7) <=> (inverse(sk_c5) = sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[533])).
% 34.49/34.67 tff(535,plain,
% 34.49/34.67 (multiply(sk_c7, multiply(sk_c5, sk_c6)) = multiply(sk_c7, sk_c7)),
% 34.49/34.67 inference(symmetry,[status(thm)],[492])).
% 34.49/34.67 tff(536,plain,
% 34.49/34.67 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 34.49/34.67 inference(symmetry,[status(thm)],[488])).
% 34.49/34.67 tff(537,plain,
% 34.49/34.67 (sk_c6 = multiply(identity, sk_c6)),
% 34.49/34.67 inference(symmetry,[status(thm)],[486])).
% 34.49/34.67 tff(538,plain,
% 34.49/34.67 (multiply(sk_c7, sk_c8) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c8)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[291])).
% 34.49/34.67 tff(539,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[538])).
% 34.49/34.67 tff(540,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c8) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c8)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(541,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c8) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c8))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[540, 57])).
% 34.49/34.67 tff(542,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c5, inverse(sk_c5)), sk_c8), sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[541])).
% 34.49/34.67 tff(543,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, inverse(sk_c5)), sk_c7)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[498])).
% 34.49/34.67 tff(544,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, inverse(sk_c5)), sk_c7) = multiply(multiply(sk_c5, inverse(sk_c5)), multiply(sk_c8, sk_c8))),
% 34.49/34.67 inference(symmetry,[status(thm)],[543])).
% 34.49/34.67 tff(545,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, inverse(sk_c5)), sk_c7) = multiply(multiply(sk_c5, sk_c7), sk_c7)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[248])).
% 34.49/34.67 tff(546,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(multiply(sk_c5, inverse(sk_c5)), sk_c7)),
% 34.49/34.67 inference(symmetry,[status(thm)],[545])).
% 34.49/34.67 tff(547,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(548,plain,
% 34.49/34.67 (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[547, 57])).
% 34.49/34.67 tff(549,plain,
% 34.49/34.67 (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, sk_c7), sk_c7)),
% 34.49/34.67 inference(symmetry,[status(thm)],[548])).
% 34.49/34.67 tff(550,plain,
% 34.49/34.67 (multiply(sk_c7, sk_c7) = sk_c6),
% 34.49/34.67 inference(transitivity,[status(thm)],[492, 491, 488, 486])).
% 34.49/34.67 tff(551,plain,
% 34.49/34.67 (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(sk_c5, sk_c6)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[550])).
% 34.49/34.67 tff(552,plain,
% 34.49/34.67 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 34.49/34.67 inference(symmetry,[status(thm)],[551])).
% 34.49/34.67 tff(553,plain,
% 34.49/34.67 (sk_c7 = multiply(sk_c7, sk_c7)),
% 34.49/34.67 inference(transitivity,[status(thm)],[290, 552, 549, 546, 544, 542, 539, 196, 537, 536, 490, 535])).
% 34.49/34.67 tff(554,plain,
% 34.49/34.67 ((inverse(sk_c4) = sk_c7) <=> (sk_c8 = multiply(sk_c7, sk_c7))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[19, 553])).
% 34.49/34.67 tff(555,plain,
% 34.49/34.67 ((inverse(sk_c4) = sk_c7) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 34.49/34.67 inference(transitivity,[status(thm)],[554, 12])).
% 34.49/34.67 tff(556,plain,
% 34.49/34.67 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (inverse(sk_c4) = sk_c7)),
% 34.49/34.67 inference(symmetry,[status(thm)],[555])).
% 34.49/34.67 tff(557,plain,
% 34.49/34.67 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c7, sk_c7)),
% 34.49/34.67 inference(transitivity,[status(thm)],[332, 330, 327, 325, 322, 311, 341, 338, 335, 65, 308, 305, 302, 300, 298, 295, 278, 276, 273, 268, 264, 247, 245, 239, 236, 233, 206, 70, 68, 63, 60, 50, 35, 11, 290, 552, 549, 546, 544, 542, 539, 196, 537, 536, 490, 535])).
% 34.49/34.67 tff(558,plain,
% 34.49/34.67 ((multiply(inverse(sk_c7), sk_c7) = sk_c8) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[557])).
% 34.49/34.67 tff(559,plain,
% 34.49/34.67 ((multiply(inverse(sk_c7), sk_c7) = sk_c8) <=> (inverse(sk_c5) = sk_c8)),
% 34.49/34.67 inference(transitivity,[status(thm)],[558, 556, 534])).
% 34.49/34.67 tff(560,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 34.49/34.67 inference(symmetry,[status(thm)],[527])).
% 34.49/34.67 tff(561,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[523])).
% 34.49/34.67 tff(562,plain,
% 34.49/34.67 (multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), sk_c6) = multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c6)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[505])).
% 34.49/34.67 tff(563,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c5))), sk_c6) = multiply(multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c5)), sk_c6)),
% 34.49/34.67 inference(symmetry,[status(thm)],[484])).
% 34.49/34.67 tff(564,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6)) = multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(sk_c4, multiply(sk_c5, sk_c5))), sk_c6)),
% 34.49/34.67 inference(symmetry,[status(thm)],[481])).
% 34.49/34.67 tff(565,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c7)), multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6))),
% 34.49/34.67 inference(symmetry,[status(thm)],[479])).
% 34.49/34.67 tff(566,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c7), multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.67 inference(symmetry,[status(thm)],[477])).
% 34.49/34.67 tff(567,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[465])).
% 34.49/34.67 tff(568,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7))))),
% 34.49/34.67 inference(symmetry,[status(thm)],[463])).
% 34.49/34.67 tff(569,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(sk_c6, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[462])).
% 34.49/34.67 tff(570,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c5)), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.67 inference(symmetry,[status(thm)],[460])).
% 34.49/34.67 tff(571,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))) = multiply(multiply(multiply(sk_c4, sk_c5), sk_c5), multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.67 inference(symmetry,[status(thm)],[456])).
% 34.49/34.67 tff(572,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5)))) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c5, multiply(multiply(sk_c6, sk_c4), multiply(sk_c5, inverse(sk_c5)))))),
% 34.49/34.67 inference(symmetry,[status(thm)],[454])).
% 34.49/34.67 tff(573,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, multiply(sk_c4, sk_c5)), sk_c7)) = multiply(multiply(sk_c4, sk_c5), multiply(multiply(sk_c7, sk_c4), multiply(sk_c5, inverse(sk_c5))))),
% 34.49/34.67 inference(symmetry,[status(thm)],[451])).
% 34.49/34.67 tff(574,plain,
% 34.49/34.67 (multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), multiply(sk_c6, multiply(sk_c4, multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c7)),
% 34.49/34.67 inference(symmetry,[status(thm)],[446])).
% 34.49/34.67 tff(575,plain,
% 34.49/34.67 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(multiply(multiply(multiply(sk_c4, sk_c5), multiply(sk_c7, multiply(sk_c4, sk_c5))), sk_c6), multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[439])).
% 34.49/34.67 tff(576,plain,
% 34.49/34.67 (multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, inverse(sk_c5)))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 34.49/34.67 inference(symmetry,[status(thm)],[429])).
% 34.49/34.67 tff(577,plain,
% 34.49/34.67 (multiply(identity, multiply(sk_c5, inverse(sk_c5))) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, inverse(sk_c5)))),
% 34.49/34.67 inference(symmetry,[status(thm)],[425])).
% 34.49/34.67 tff(578,plain,
% 34.49/34.67 (multiply(inverse(sk_c7), sk_c7) = sk_c8),
% 34.49/34.67 inference(transitivity,[status(thm)],[332, 330, 327, 325, 322, 311, 341, 338, 335, 577, 427, 576, 575, 441, 574, 448, 573, 572, 571, 570, 569, 568, 567, 566, 565, 564, 563, 562, 507, 561, 525, 560, 315, 313, 223])).
% 34.49/34.67 tff(579,plain,
% 34.49/34.67 (inverse(sk_c5) = sk_c8),
% 34.49/34.67 inference(modus_ponens,[status(thm)],[578, 559])).
% 34.49/34.67 tff(580,plain,
% 34.49/34.67 (sk_c8 = sk_c7),
% 34.49/34.67 inference(transitivity,[status(thm)],[496, 312, 521, 527, 526, 523, 508, 505, 484, 481, 479, 477, 465, 463, 462, 460, 456, 454, 451, 449, 446, 442, 439, 429, 428, 425, 65, 308, 305, 302, 300, 298, 295, 278, 276, 273, 268, 264, 247, 245, 239, 236, 233, 206, 70, 68, 63, 60, 50, 35, 11])).
% 34.49/34.67 tff(581,plain,
% 34.49/34.67 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[19])).
% 34.49/34.67 tff(582,plain,
% 34.49/34.67 ((multiply(sk_c4, inverse(sk_c4)) = sk_c8) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[581, 580])).
% 34.49/34.67 tff(583,plain,
% 34.49/34.67 ((multiply(sk_c4, sk_c8) = sk_c7) <=> (multiply(sk_c4, inverse(sk_c4)) = sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[582])).
% 34.49/34.67 tff(584,plain,
% 34.49/34.67 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c7, multiply(sk_c4, sk_c5))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[498])).
% 34.49/34.67 tff(585,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(586,plain,
% 34.49/34.67 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[585, 57])).
% 34.49/34.67 tff(587,plain,
% 34.49/34.67 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c4, sk_c5))),
% 34.49/34.67 inference(symmetry,[status(thm)],[586])).
% 34.49/34.67 tff(588,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c5) = multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(589,plain,
% 34.49/34.67 (multiply(multiply(sk_c8, sk_c4), sk_c5) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[588, 57])).
% 34.49/34.67 tff(590,plain,
% 34.49/34.67 (multiply(multiply(sk_c8, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[424])).
% 34.49/34.67 tff(591,plain,
% 34.49/34.67 (multiply(identity, sk_c5) = multiply(multiply(sk_c8, sk_c4), sk_c5)),
% 34.49/34.67 inference(symmetry,[status(thm)],[590])).
% 34.49/34.67 tff(592,plain,
% 34.49/34.67 (sk_c5 = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 34.49/34.67 inference(transitivity,[status(thm)],[369, 591, 589])).
% 34.49/34.67 tff(593,plain,
% 34.49/34.67 (multiply(sk_c8, sk_c5) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[592])).
% 34.49/34.67 tff(594,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c8, sk_c5)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[223])).
% 34.49/34.67 tff(595,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(596,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[595, 57])).
% 34.49/34.67 tff(597,plain,
% 34.49/34.67 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c4, sk_c7), sk_c5)),
% 34.49/34.67 inference(symmetry,[status(thm)],[596])).
% 34.49/34.67 tff(598,plain,
% 34.49/34.67 (sk_c8 = multiply(sk_c7, sk_c5)),
% 34.49/34.67 inference(transitivity,[status(thm)],[496, 312, 521, 527, 526, 523, 508, 505, 484, 481, 479, 477, 465, 463, 462, 460, 456, 454, 451, 449, 446, 442, 439, 429, 428, 425, 334, 337, 340, 310, 321, 324, 326, 329, 331, 117, 47, 44])).
% 34.49/34.67 tff(599,plain,
% 34.49/34.67 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[598])).
% 34.49/34.67 tff(600,plain,
% 34.49/34.67 (multiply(sk_c4, sk_c8) = sk_c7),
% 34.49/34.67 inference(transitivity,[status(thm)],[599, 597, 594, 593, 587, 584, 410, 406, 402, 400, 398, 387, 384, 349, 346, 344, 46, 165, 332, 330, 327, 325, 322, 311, 341, 338, 335, 65, 308, 305, 302, 300, 298, 295, 278, 276, 273, 268, 264, 247, 245, 239, 236, 233, 206, 70, 68, 63, 60, 50, 35, 11])).
% 34.49/34.67 tff(601,plain,
% 34.49/34.67 (multiply(sk_c4, inverse(sk_c4)) = sk_c8),
% 34.49/34.67 inference(modus_ponens,[status(thm)],[600, 583])).
% 34.49/34.67 tff(602,plain,
% 34.49/34.67 (multiply(identity, multiply(sk_c7, sk_c8)) = multiply(identity, sk_c6)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[196])).
% 34.49/34.67 tff(603,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), sk_c8) = multiply(identity, multiply(sk_c7, sk_c8)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(604,plain,
% 34.49/34.67 (multiply(multiply(identity, sk_c7), sk_c8) = multiply(identity, multiply(sk_c7, sk_c8))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[603, 57])).
% 34.49/34.67 tff(605,plain,
% 34.49/34.67 (multiply(sk_c8, sk_c8) = multiply(identity, sk_c7)),
% 34.49/34.67 inference(transitivity,[status(thm)],[497, 495, 35])).
% 34.49/34.67 tff(606,plain,
% 34.49/34.67 (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(multiply(identity, sk_c7), sk_c8)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[605])).
% 34.49/34.67 tff(607,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(608,plain,
% 34.49/34.67 (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[607, 57])).
% 34.49/34.67 tff(609,plain,
% 34.49/34.67 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c8), sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[608])).
% 34.49/34.67 tff(610,plain,
% 34.49/34.67 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[497])).
% 34.49/34.67 tff(611,plain,
% 34.49/34.67 (sk_c7 = multiply(sk_c8, sk_c8)),
% 34.49/34.67 inference(transitivity,[status(thm)],[408, 34, 494, 610])).
% 34.49/34.67 tff(612,plain,
% 34.49/34.67 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[611])).
% 34.49/34.67 tff(613,plain,
% 34.49/34.67 (multiply(inverse(sk_c4), sk_c7) = multiply(sk_c8, sk_c7)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[19])).
% 34.49/34.67 tff(614,plain,
% 34.49/34.67 (multiply(inverse(sk_c4), sk_c7) = multiply(sk_c7, sk_c7)),
% 34.49/34.67 inference(transitivity,[status(thm)],[613, 612, 609, 606, 604, 602, 536, 490, 535])).
% 34.49/34.67 tff(615,plain,
% 34.49/34.67 ((multiply(inverse(sk_c4), sk_c7) = sk_c8) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[614])).
% 34.49/34.67 tff(616,plain,
% 34.49/34.67 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[615])).
% 34.49/34.67 tff(617,plain,
% 34.49/34.67 ((multiply(inverse(sk_c7), sk_c7) = sk_c8) <=> (multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 34.49/34.67 inference(transitivity,[status(thm)],[558, 616])).
% 34.49/34.67 tff(618,plain,
% 34.49/34.67 (multiply(inverse(sk_c4), sk_c7) = sk_c8),
% 34.49/34.67 inference(modus_ponens,[status(thm)],[578, 617])).
% 34.49/34.67 tff(619,plain,
% 34.49/34.67 ((multiply(inverse(sk_c7), sk_c7) = sk_c8) <=> (inverse(sk_c4) = sk_c7)),
% 34.49/34.67 inference(transitivity,[status(thm)],[558, 556])).
% 34.49/34.67 tff(620,plain,
% 34.49/34.67 (inverse(sk_c4) = sk_c7),
% 34.49/34.67 inference(modus_ponens,[status(thm)],[578, 619])).
% 34.49/34.67 tff(621,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 34.49/34.67 inference(monotonicity,[status(thm)],[223])).
% 34.49/34.67 tff(622,plain,
% 34.49/34.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c8)))),
% 34.49/34.67 inference(quant_inst,[status(thm)],[])).
% 34.49/34.67 tff(623,plain,
% 34.49/34.67 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 34.49/34.67 inference(unit_resolution,[status(thm)],[622, 57])).
% 34.49/34.67 tff(624,plain,
% 34.49/34.67 (multiply(sk_c4, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 34.49/34.67 inference(symmetry,[status(thm)],[623])).
% 34.49/34.67 tff(625,plain,
% 34.49/34.67 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 34.49/34.67 inference(monotonicity,[status(thm)],[197])).
% 34.49/34.67 tff(626,plain,
% 34.49/34.67 (multiply(sk_c4, sk_c6) = sk_c7),
% 34.49/34.67 inference(transitivity,[status(thm)],[625, 624, 621, 497, 495, 35, 11])).
% 34.49/34.67 tff(627,plain,
% 34.49/34.67 (multiply(sk_c8, sk_c7) = sk_c6),
% 34.49/34.67 inference(transitivity,[status(thm)],[612, 609, 606, 604, 602, 486])).
% 34.49/34.67 tff(628,plain,
% 34.49/34.67 (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))))),
% 34.49/34.67 inference(bind,[status(th)],[])).
% 34.49/34.67 tff(629,plain,
% 34.49/34.67 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.67 inference(quant_intro,[status(thm)],[628])).
% 34.49/34.67 tff(630,plain,
% 34.49/34.67 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.67 inference(rewrite,[status(thm)],[])).
% 34.49/34.67 tff(631,plain,
% 34.49/34.67 (^[X4: $i, X3: $i, X2: $i, X1: $i] : rewrite(((~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))))),
% 34.49/34.67 inference(bind,[status(th)],[])).
% 34.49/34.67 tff(632,plain,
% 34.49/34.67 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.67 inference(quant_intro,[status(thm)],[631])).
% 34.49/34.67 tff(633,plain,
% 34.49/34.67 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.67 inference(elim_unused_vars,[status(thm)],[])).
% 34.49/34.67 tff(634,plain,
% 34.49/34.67 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(destructive_equality_resolution,[status(thm)],[])).
% 34.49/34.68 tff(635,plain,
% 34.49/34.68 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(transitivity,[status(thm)],[634, 633])).
% 34.49/34.68 tff(636,plain,
% 34.49/34.68 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(transitivity,[status(thm)],[635, 632])).
% 34.49/34.68 tff(637,plain,
% 34.49/34.68 (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), (((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X4, X5) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X4, X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), (((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))))), ((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X4) = X5))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X4) = X5))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), ((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))))), (((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X5, sk_c7) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), (((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))))), ((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(sk_c7, sk_c8) = sk_c6))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), ((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))))), (((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), (((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))))), ((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), ((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))))), (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X2) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X2) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))))), ((((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))), ((((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))))),
% 34.49/34.68 inference(bind,[status(th)],[])).
% 34.49/34.68 tff(638,plain,
% 34.49/34.68 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))),
% 34.49/34.68 inference(quant_intro,[status(thm)],[637])).
% 34.49/34.68 tff(639,plain,
% 34.49/34.68 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(transitivity,[status(thm)],[638, 636])).
% 34.49/34.68 tff(640,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X3) = sk_c8))) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c8) = sk_c6))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_31')).
% 34.49/34.68 tff(641,plain,
% 34.49/34.68 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(modus_ponens,[status(thm)],[640, 639])).
% 34.49/34.68 tff(642,plain,
% 34.49/34.68 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(modus_ponens,[status(thm)],[641, 630])).
% 34.49/34.68 tff(643,plain,(
% 34.49/34.68 ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(skolemize,[status(sab)],[642])).
% 34.49/34.68 tff(644,plain,
% 34.49/34.68 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))),
% 34.49/34.68 inference(modus_ponens,[status(thm)],[643, 629])).
% 34.49/34.68 tff(645,plain,
% 34.49/34.68 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))),
% 34.49/34.68 inference(rewrite,[status(thm)],[])).
% 34.49/34.68 tff(646,plain,
% 34.49/34.68 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))),
% 34.49/34.68 inference(rewrite,[status(thm)],[])).
% 34.49/34.68 tff(647,plain,
% 34.49/34.68 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7))))),
% 34.49/34.68 inference(monotonicity,[status(thm)],[646])).
% 34.49/34.68 tff(648,plain,
% 34.49/34.68 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))),
% 34.49/34.69 inference(transitivity,[status(thm)],[647, 645])).
% 34.49/34.69 tff(649,plain,
% 34.49/34.69 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 34.49/34.69 inference(quant_inst,[status(thm)],[])).
% 34.49/34.69 tff(650,plain,
% 34.49/34.69 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7))),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[649, 648])).
% 34.49/34.69 tff(651,plain,
% 34.49/34.69 ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7))),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[650, 196, 19, 223, 644])).
% 34.49/34.69 tff(652,plain,
% 34.49/34.69 ($false),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[651, 627, 626, 620, 618, 601, 579, 530])).
% 34.49/34.69 tff(653,plain,(multiply(sk_c1, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 34.49/34.69 tff(654,plain,
% 34.49/34.69 (sk_c7 = multiply(sk_c1, sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[653])).
% 34.49/34.69 tff(655,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c1, sk_c8), sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[654])).
% 34.49/34.69 tff(656,plain,
% 34.49/34.69 (multiply(multiply(sk_c1, sk_c8), sk_c7) = multiply(sk_c7, sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[655])).
% 34.49/34.69 tff(657,plain,
% 34.49/34.69 (multiply(sk_c1, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c1, sk_c8), sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[99])).
% 34.49/34.69 tff(658,assumption,(~(multiply(sk_c8, sk_c7) = sk_c6)), introduced(assumption)).
% 34.49/34.69 tff(659,plain,
% 34.49/34.69 (((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(660,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 34.49/34.69 tff(661,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[660, 659])).
% 34.49/34.69 tff(662,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[661, 659])).
% 34.49/34.69 tff(663,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[662, 659])).
% 34.49/34.69 tff(664,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[663, 659])).
% 34.49/34.69 tff(665,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[664, 659])).
% 34.49/34.69 tff(666,plain,
% 34.49/34.69 (multiply(sk_c5, sk_c6) = sk_c7),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[665, 658])).
% 34.49/34.69 tff(667,plain,
% 34.49/34.69 (sk_c7 = multiply(sk_c5, sk_c6)),
% 34.49/34.69 inference(symmetry,[status(thm)],[666])).
% 34.49/34.69 tff(668,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[667])).
% 34.49/34.69 tff(669,plain,
% 34.49/34.69 (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c7, sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[668])).
% 34.49/34.69 tff(670,plain,
% 34.49/34.69 (((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(671,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 34.49/34.69 tff(672,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[671, 670])).
% 34.49/34.69 tff(673,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[672, 670])).
% 34.49/34.69 tff(674,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[673, 670])).
% 34.49/34.69 tff(675,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[674, 670])).
% 34.49/34.69 tff(676,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[675, 670])).
% 34.49/34.69 tff(677,plain,
% 34.49/34.69 (inverse(sk_c4) = sk_c8),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[676, 658])).
% 34.49/34.69 tff(678,plain,
% 34.49/34.69 (sk_c8 = inverse(sk_c4)),
% 34.49/34.69 inference(symmetry,[status(thm)],[677])).
% 34.49/34.69 tff(679,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[678])).
% 34.49/34.69 tff(680,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c4) = identity),
% 34.49/34.69 inference(transitivity,[status(thm)],[679, 31])).
% 34.49/34.69 tff(681,plain,
% 34.49/34.69 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[680])).
% 34.49/34.69 tff(682,plain,
% 34.49/34.69 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 34.49/34.69 inference(symmetry,[status(thm)],[679])).
% 34.49/34.69 tff(683,plain,
% 34.49/34.69 (((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(684,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 34.49/34.69 tff(685,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[684, 683])).
% 34.49/34.69 tff(686,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[685, 683])).
% 34.49/34.69 tff(687,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[686, 683])).
% 34.49/34.69 tff(688,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[687, 683])).
% 34.49/34.69 tff(689,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c7)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[688, 683])).
% 34.49/34.69 tff(690,plain,
% 34.49/34.69 (inverse(sk_c5) = sk_c7),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[689, 658])).
% 34.49/34.69 tff(691,plain,
% 34.49/34.69 (sk_c7 = inverse(sk_c5)),
% 34.49/34.69 inference(symmetry,[status(thm)],[690])).
% 34.49/34.69 tff(692,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[691])).
% 34.49/34.69 tff(693,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c5) = multiply(sk_c8, sk_c4)),
% 34.49/34.69 inference(transitivity,[status(thm)],[692, 46, 32, 682])).
% 34.49/34.69 tff(694,plain,
% 34.49/34.69 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[693])).
% 34.49/34.69 tff(695,plain,
% 34.49/34.69 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = sk_c7),
% 34.49/34.69 inference(transitivity,[status(thm)],[60, 694, 681, 11])).
% 34.49/34.69 tff(696,plain,
% 34.49/34.69 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c8) = multiply(sk_c7, sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[695])).
% 34.49/34.69 tff(697,plain,
% 34.49/34.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c8) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), sk_c8)))),
% 34.49/34.69 inference(quant_inst,[status(thm)],[])).
% 34.49/34.69 tff(698,plain,
% 34.49/34.69 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c8) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), sk_c8))),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[697, 57])).
% 34.49/34.69 tff(699,plain,
% 34.49/34.69 (multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[698])).
% 34.49/34.69 tff(700,plain,
% 34.49/34.69 (sk_c7 = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[667, 289, 287])).
% 34.49/34.69 tff(701,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), sk_c8))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[700])).
% 34.49/34.69 tff(702,plain,
% 34.49/34.69 (((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(703,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 34.49/34.69 tff(704,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[703, 702])).
% 34.49/34.69 tff(705,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[704, 702])).
% 34.49/34.69 tff(706,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[705, 702])).
% 34.49/34.69 tff(707,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[706, 702])).
% 34.49/34.69 tff(708,plain,
% 34.49/34.69 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[707, 702])).
% 34.49/34.69 tff(709,plain,
% 34.49/34.69 (multiply(sk_c4, sk_c7) = sk_c8),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[708, 658])).
% 34.49/34.69 tff(710,plain,
% 34.49/34.69 (sk_c8 = multiply(sk_c4, sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[709])).
% 34.49/34.69 tff(711,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[710])).
% 34.49/34.69 tff(712,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c8) = sk_c7),
% 34.49/34.69 inference(transitivity,[status(thm)],[711, 495, 681, 11])).
% 34.49/34.69 tff(713,plain,
% 34.49/34.69 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[712])).
% 34.49/34.69 tff(714,plain,
% 34.49/34.69 (multiply(sk_c6, sk_c8) = sk_c6),
% 34.49/34.69 inference(transitivity,[status(thm)],[502, 501, 713, 701, 699, 696, 196])).
% 34.49/34.69 tff(715,plain,
% 34.49/34.69 (multiply(sk_c5, multiply(sk_c6, sk_c8)) = multiply(sk_c5, sk_c6)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[714])).
% 34.49/34.69 tff(716,plain,
% 34.49/34.69 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c6, sk_c8))),
% 34.49/34.69 inference(symmetry,[status(thm)],[715])).
% 34.49/34.69 tff(717,plain,
% 34.49/34.69 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[709])).
% 34.49/34.69 tff(718,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[701, 699, 696])).
% 34.49/34.69 tff(719,plain,
% 34.49/34.69 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[718])).
% 34.49/34.69 tff(720,plain,
% 34.49/34.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 34.49/34.69 inference(quant_inst,[status(thm)],[])).
% 34.49/34.69 tff(721,plain,
% 34.49/34.69 (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[720, 57])).
% 34.49/34.69 tff(722,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c4, sk_c7), sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[710])).
% 34.49/34.69 tff(723,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c7) = sk_c6),
% 34.49/34.69 inference(transitivity,[status(thm)],[722, 721, 719, 624, 717, 711, 495, 681, 11, 667, 716, 517, 669, 196])).
% 34.49/34.69 tff(724,plain,
% 34.49/34.69 ($false),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[658, 723])).
% 34.49/34.69 tff(725,plain,(multiply(sk_c8, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 34.49/34.69 tff(726,plain,
% 34.49/34.69 (multiply(sk_c1, multiply(sk_c8, sk_c7)) = multiply(sk_c1, sk_c6)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[725])).
% 34.49/34.69 tff(727,plain,
% 34.49/34.69 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c8, sk_c7))),
% 34.49/34.69 inference(symmetry,[status(thm)],[726])).
% 34.49/34.69 tff(728,plain,
% 34.49/34.69 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[653])).
% 34.49/34.69 tff(729,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 34.49/34.69 tff(730,plain,
% 34.49/34.69 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(731,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 34.49/34.69 tff(732,plain,
% 34.49/34.69 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[731, 730])).
% 34.49/34.69 tff(733,plain,
% 34.49/34.69 (inverse(sk_c1) = sk_c8),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[732, 729])).
% 34.49/34.69 tff(734,plain,
% 34.49/34.69 (sk_c8 = inverse(sk_c1)),
% 34.49/34.69 inference(symmetry,[status(thm)],[733])).
% 34.49/34.69 tff(735,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[734])).
% 34.49/34.69 tff(736,plain,
% 34.49/34.69 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.49/34.69 inference(symmetry,[status(thm)],[735])).
% 34.49/34.69 tff(737,plain,
% 34.49/34.69 (identity = multiply(sk_c8, sk_c1)),
% 34.49/34.69 inference(transitivity,[status(thm)],[81, 736])).
% 34.49/34.69 tff(738,plain,
% 34.49/34.69 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[737])).
% 34.49/34.69 tff(739,plain,
% 34.49/34.69 (sk_c8 = sk_c6),
% 34.49/34.69 inference(transitivity,[status(thm)],[94, 738, 86, 728, 725])).
% 34.49/34.69 tff(740,plain,
% 34.49/34.69 (multiply(sk_c1, sk_c8) = multiply(sk_c1, sk_c6)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[739])).
% 34.49/34.69 tff(741,plain,
% 34.49/34.69 (sk_c7 = multiply(sk_c7, sk_c7)),
% 34.49/34.69 inference(transitivity,[status(thm)],[654, 740, 727, 657, 656])).
% 34.49/34.69 tff(742,plain,
% 34.49/34.69 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[738])).
% 34.49/34.69 tff(743,plain,
% 34.49/34.69 (((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(744,axiom,((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 34.49/34.69 tff(745,plain,
% 34.49/34.69 ((inverse(sk_c2) = sk_c3) | (inverse(sk_c4) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[744, 743])).
% 34.49/34.69 tff(746,plain,
% 34.49/34.69 (inverse(sk_c2) = sk_c3),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[745, 729])).
% 34.49/34.69 tff(747,plain,
% 34.49/34.69 (sk_c3 = inverse(sk_c2)),
% 34.49/34.69 inference(symmetry,[status(thm)],[746])).
% 34.49/34.69 tff(748,plain,
% 34.49/34.69 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[747])).
% 34.49/34.69 tff(749,plain,
% 34.49/34.69 (multiply(sk_c3, sk_c2) = multiply(sk_c8, sk_c1)),
% 34.49/34.69 inference(transitivity,[status(thm)],[748, 139, 81, 736])).
% 34.49/34.69 tff(750,plain,
% 34.49/34.69 (multiply(multiply(sk_c3, sk_c2), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[749])).
% 34.49/34.69 tff(751,plain,
% 34.49/34.69 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(752,plain,
% 34.49/34.69 (((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(753,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_27')).
% 34.49/34.69 tff(754,plain,
% 34.49/34.69 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[753, 752])).
% 34.49/34.69 tff(755,plain,
% 34.49/34.69 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[754, 751])).
% 34.49/34.69 tff(756,plain,
% 34.49/34.69 (multiply(sk_c3, sk_c7) = sk_c8),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[755, 729])).
% 34.49/34.69 tff(757,plain,
% 34.49/34.69 (sk_c8 = multiply(sk_c3, sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[756])).
% 34.49/34.69 tff(758,plain,
% 34.49/34.69 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c7))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[757])).
% 34.49/34.69 tff(759,plain,
% 34.49/34.69 (multiply(sk_c2, multiply(sk_c3, sk_c7)) = multiply(sk_c2, sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[758])).
% 34.49/34.69 tff(760,plain,
% 34.49/34.69 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(761,plain,
% 34.49/34.69 (((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 34.49/34.69 inference(rewrite,[status(thm)],[])).
% 34.49/34.69 tff(762,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 34.49/34.69 tff(763,plain,
% 34.49/34.69 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[762, 761])).
% 34.49/34.69 tff(764,plain,
% 34.49/34.69 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[763, 760])).
% 34.49/34.69 tff(765,plain,
% 34.49/34.69 (multiply(sk_c2, sk_c3) = sk_c8),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[764, 729])).
% 34.49/34.69 tff(766,plain,
% 34.49/34.69 (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(sk_c8, sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[765])).
% 34.49/34.69 tff(767,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c2, sk_c3), sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[766])).
% 34.49/34.69 tff(768,plain,
% 34.49/34.69 (sk_c6 = multiply(sk_c8, sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[725])).
% 34.49/34.69 tff(769,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c8) = multiply(sk_c2, sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[196, 768, 767, 154, 759])).
% 34.49/34.69 tff(770,plain,
% 34.49/34.69 (multiply(sk_c3, multiply(sk_c7, sk_c8)) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[769])).
% 34.49/34.69 tff(771,plain,
% 34.49/34.69 (sk_c8 = multiply(sk_c7, sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[94, 738, 86, 728, 725, 197])).
% 34.49/34.69 tff(772,plain,
% 34.49/34.69 (multiply(sk_c3, sk_c8) = multiply(sk_c3, multiply(sk_c7, sk_c8))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[771])).
% 34.49/34.69 tff(773,plain,
% 34.49/34.69 (multiply(sk_c3, multiply(sk_c2, sk_c3)) = multiply(sk_c3, sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[765])).
% 34.49/34.69 tff(774,plain,
% 34.49/34.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), sk_c3) = multiply(sk_c3, multiply(sk_c2, sk_c3)))),
% 34.49/34.69 inference(quant_inst,[status(thm)],[])).
% 34.49/34.69 tff(775,plain,
% 34.49/34.69 (multiply(multiply(sk_c3, sk_c2), sk_c3) = multiply(sk_c3, multiply(sk_c2, sk_c3))),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[774, 57])).
% 34.49/34.69 tff(776,plain,
% 34.49/34.69 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c3, sk_c2)),
% 34.49/34.69 inference(symmetry,[status(thm)],[748])).
% 34.49/34.69 tff(777,plain,
% 34.49/34.69 (identity = multiply(inverse(sk_c2), sk_c2)),
% 34.49/34.69 inference(symmetry,[status(thm)],[139])).
% 34.49/34.69 tff(778,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c1) = multiply(sk_c3, sk_c2)),
% 34.49/34.69 inference(transitivity,[status(thm)],[735, 80, 777, 776])).
% 34.49/34.69 tff(779,plain,
% 34.49/34.69 (multiply(multiply(sk_c8, sk_c1), sk_c3) = multiply(multiply(sk_c3, sk_c2), sk_c3)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[778])).
% 34.49/34.69 tff(780,plain,
% 34.49/34.69 (multiply(identity, sk_c3) = multiply(multiply(sk_c8, sk_c1), sk_c3)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[737])).
% 34.49/34.69 tff(781,plain,
% 34.49/34.69 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 34.49/34.69 inference(quant_inst,[status(thm)],[])).
% 34.49/34.69 tff(782,plain,
% 34.49/34.69 (multiply(identity, sk_c3) = sk_c3),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[781, 7])).
% 34.49/34.69 tff(783,plain,
% 34.49/34.69 (sk_c3 = multiply(identity, sk_c3)),
% 34.49/34.69 inference(symmetry,[status(thm)],[782])).
% 34.49/34.69 tff(784,plain,
% 34.49/34.69 (inverse(sk_c2) = sk_c8),
% 34.49/34.69 inference(transitivity,[status(thm)],[746, 783, 780, 779, 775, 773, 772, 770, 150, 750, 742, 9])).
% 34.49/34.69 tff(785,plain,
% 34.49/34.69 ((inverse(sk_c2) = sk_c7) <=> (sk_c8 = multiply(sk_c7, sk_c7))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[784, 741])).
% 34.49/34.69 tff(786,plain,
% 34.49/34.69 ((inverse(sk_c2) = sk_c7) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[785, 12])).
% 34.49/34.69 tff(787,plain,
% 34.49/34.69 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[786])).
% 34.49/34.69 tff(788,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 34.49/34.69 inference(symmetry,[status(thm)],[728])).
% 34.49/34.69 tff(789,plain,
% 34.49/34.69 (multiply(multiply(sk_c1, sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[653])).
% 34.49/34.69 tff(790,plain,
% 34.49/34.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c8) = multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 34.49/34.69 inference(quant_inst,[status(thm)],[])).
% 34.49/34.69 tff(791,plain,
% 34.49/34.69 (multiply(multiply(sk_c1, sk_c8), sk_c8) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[790, 57])).
% 34.49/34.69 tff(792,plain,
% 34.49/34.69 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c1, sk_c8), sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[791])).
% 34.49/34.69 tff(793,plain,
% 34.49/34.69 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c3, sk_c7), sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[757])).
% 34.49/34.69 tff(794,plain,
% 34.49/34.69 (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[793])).
% 34.49/34.69 tff(795,plain,
% 34.49/34.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c3, multiply(sk_c7, sk_c8)))),
% 34.49/34.69 inference(quant_inst,[status(thm)],[])).
% 34.49/34.69 tff(796,plain,
% 34.49/34.69 (multiply(multiply(sk_c3, sk_c7), sk_c8) = multiply(sk_c3, multiply(sk_c7, sk_c8))),
% 34.49/34.69 inference(unit_resolution,[status(thm)],[795, 57])).
% 34.49/34.69 tff(797,plain,
% 34.49/34.69 (multiply(sk_c3, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c3, sk_c7), sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[796])).
% 34.49/34.69 tff(798,plain,
% 34.49/34.69 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(sk_c3, multiply(sk_c7, sk_c8))),
% 34.49/34.69 inference(symmetry,[status(thm)],[770])).
% 34.49/34.69 tff(799,plain,
% 34.49/34.69 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(multiply(sk_c3, sk_c2), sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[750])).
% 34.49/34.69 tff(800,plain,
% 34.49/34.69 (sk_c6 = multiply(sk_c8, sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[768, 788, 87, 799, 149, 798, 797, 794])).
% 34.49/34.69 tff(801,plain,
% 34.49/34.69 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[800])).
% 34.49/34.69 tff(802,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c7) = sk_c8),
% 34.49/34.69 inference(transitivity,[status(thm)],[655, 99, 726, 801, 792, 789, 196, 768, 788, 87, 742, 9])).
% 34.49/34.69 tff(803,plain,
% 34.49/34.69 (inverse(sk_c2) = sk_c7),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[802, 787])).
% 34.49/34.69 tff(804,plain,
% 34.49/34.69 (multiply(sk_c2, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c2, sk_c3), sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[154])).
% 34.49/34.69 tff(805,plain,
% 34.49/34.69 (sk_c6 = sk_c8),
% 34.49/34.69 inference(transitivity,[status(thm)],[768, 788, 87, 742, 9])).
% 34.49/34.69 tff(806,plain,
% 34.49/34.69 (multiply(sk_c2, sk_c6) = multiply(sk_c2, sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[805])).
% 34.49/34.69 tff(807,plain,
% 34.49/34.69 (multiply(sk_c2, sk_c6) = sk_c8),
% 34.49/34.69 inference(transitivity,[status(thm)],[806, 758, 804, 766, 788, 87, 742, 9])).
% 34.49/34.69 tff(808,plain,
% 34.49/34.69 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (sk_c8 = multiply(sk_c7, sk_c7))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[807, 741])).
% 34.49/34.69 tff(809,plain,
% 34.49/34.69 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(sk_c7, sk_c7) = sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[808, 12])).
% 34.49/34.69 tff(810,plain,
% 34.49/34.69 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[809])).
% 34.49/34.69 tff(811,plain,
% 34.49/34.69 (multiply(sk_c2, sk_c6) = sk_c7),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[802, 810])).
% 34.49/34.69 tff(812,plain,
% 34.49/34.69 ((sk_c7 = inverse(sk_c1)) <=> (inverse(sk_c1) = sk_c7)),
% 34.49/34.69 inference(commutativity,[status(thm)],[])).
% 34.49/34.69 tff(813,plain,
% 34.49/34.69 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c8)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[733])).
% 34.49/34.69 tff(814,plain,
% 34.49/34.69 (multiply(sk_c1, inverse(sk_c1)) = sk_c7),
% 34.49/34.69 inference(transitivity,[status(thm)],[813, 653])).
% 34.49/34.69 tff(815,plain,
% 34.49/34.69 ((multiply(sk_c1, inverse(sk_c1)) = sk_c8) <=> (sk_c7 = inverse(sk_c1))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[814, 734])).
% 34.49/34.69 tff(816,plain,
% 34.49/34.69 ((multiply(sk_c1, inverse(sk_c1)) = sk_c8) <=> (inverse(sk_c1) = sk_c7)),
% 34.49/34.69 inference(transitivity,[status(thm)],[815, 812])).
% 34.49/34.69 tff(817,plain,
% 34.49/34.69 ((inverse(sk_c1) = sk_c7) <=> (multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[816])).
% 34.49/34.69 tff(818,plain,
% 34.49/34.69 (inverse(sk_c1) = multiply(sk_c7, sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[733, 94, 738, 86, 728, 725, 197])).
% 34.49/34.69 tff(819,plain,
% 34.49/34.69 ((inverse(sk_c1) = sk_c7) <=> (multiply(sk_c7, sk_c8) = sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[818])).
% 34.49/34.69 tff(820,plain,
% 34.49/34.69 ((multiply(sk_c7, sk_c8) = sk_c7) <=> (inverse(sk_c1) = sk_c7)),
% 34.49/34.69 inference(symmetry,[status(thm)],[819])).
% 34.49/34.69 tff(821,plain,
% 34.49/34.69 ((sk_c7 = multiply(sk_c7, sk_c8)) <=> (multiply(sk_c7, sk_c8) = sk_c7)),
% 34.49/34.69 inference(commutativity,[status(thm)],[])).
% 34.49/34.69 tff(822,plain,
% 34.49/34.69 (multiply(sk_c1, sk_c6) = multiply(sk_c1, sk_c8)),
% 34.49/34.69 inference(symmetry,[status(thm)],[740])).
% 34.49/34.69 tff(823,plain,
% 34.49/34.69 (multiply(sk_c7, sk_c7) = sk_c7),
% 34.49/34.69 inference(transitivity,[status(thm)],[655, 99, 726, 822, 653])).
% 34.49/34.69 tff(824,plain,
% 34.49/34.69 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (sk_c7 = multiply(sk_c7, sk_c8))),
% 34.49/34.69 inference(monotonicity,[status(thm)],[823, 771])).
% 34.49/34.69 tff(825,plain,
% 34.49/34.69 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (multiply(sk_c7, sk_c8) = sk_c7)),
% 34.49/34.69 inference(transitivity,[status(thm)],[824, 821])).
% 34.49/34.69 tff(826,plain,
% 34.49/34.69 ((multiply(sk_c7, sk_c7) = sk_c8) <=> (multiply(sk_c1, inverse(sk_c1)) = sk_c8)),
% 34.49/34.69 inference(transitivity,[status(thm)],[825, 820, 817])).
% 34.49/34.69 tff(827,plain,
% 34.49/34.69 (multiply(sk_c1, inverse(sk_c1)) = sk_c8),
% 34.49/34.69 inference(modus_ponens,[status(thm)],[802, 826])).
% 34.49/34.69 tff(828,plain,
% 34.49/34.69 (multiply(inverse(sk_c1), sk_c7) = multiply(sk_c8, sk_c7)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[733])).
% 34.49/34.69 tff(829,plain,
% 34.49/34.69 (multiply(inverse(sk_c1), sk_c7) = sk_c8),
% 34.49/34.69 inference(transitivity,[status(thm)],[828, 788, 87, 742, 9])).
% 34.49/34.69 tff(830,plain,
% 34.49/34.69 (sk_c7 = sk_c6),
% 34.49/34.69 inference(transitivity,[status(thm)],[654, 740, 801, 792, 789, 196])).
% 34.49/34.69 tff(831,plain,
% 34.49/34.69 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c6)),
% 34.49/34.69 inference(monotonicity,[status(thm)],[830])).
% 34.49/34.69 tff(832,plain,
% 34.49/34.69 (multiply(sk_c1, sk_c7) = sk_c8),
% 34.49/34.69 inference(transitivity,[status(thm)],[831, 801, 792, 789, 196, 768, 788, 87, 742, 9])).
% 34.49/34.69 tff(833,plain,
% 34.49/34.69 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)))),
% 34.49/34.70 inference(rewrite,[status(thm)],[])).
% 34.49/34.70 tff(834,plain,
% 34.49/34.70 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)))),
% 34.49/34.70 inference(rewrite,[status(thm)],[])).
% 34.49/34.70 tff(835,plain,
% 34.49/34.70 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7))))),
% 34.49/34.70 inference(monotonicity,[status(thm)],[834])).
% 34.49/34.70 tff(836,plain,
% 34.49/34.70 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)))),
% 34.49/34.70 inference(transitivity,[status(thm)],[835, 833])).
% 34.49/34.70 tff(837,plain,
% 34.49/34.70 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))),
% 34.49/34.70 inference(quant_inst,[status(thm)],[])).
% 34.49/34.70 tff(838,plain,
% 34.49/34.70 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7))),
% 34.49/34.70 inference(modus_ponens,[status(thm)],[837, 836])).
% 34.49/34.70 tff(839,plain,
% 34.49/34.70 ((~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7))),
% 34.49/34.70 inference(unit_resolution,[status(thm)],[838, 725, 196, 653, 733, 644])).
% 34.49/34.70 tff(840,plain,
% 34.49/34.70 ($false),
% 34.49/34.70 inference(unit_resolution,[status(thm)],[839, 832, 829, 827, 811, 803])).
% 34.49/34.70 tff(841,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 34.49/34.70 tff(842,plain,
% 34.49/34.70 (sk_c8 = inverse(sk_c4)),
% 34.49/34.70 inference(symmetry,[status(thm)],[841])).
% 34.49/34.70 tff(843,plain,
% 34.49/34.70 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[842])).
% 34.49/34.70 tff(844,plain,
% 34.49/34.70 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 34.49/34.70 inference(symmetry,[status(thm)],[843])).
% 34.49/34.70 tff(845,plain,
% 34.49/34.70 (identity = multiply(sk_c8, sk_c4)),
% 34.49/34.70 inference(transitivity,[status(thm)],[32, 844])).
% 34.49/34.70 tff(846,plain,
% 34.49/34.70 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[845])).
% 34.49/34.70 tff(847,plain,
% 34.49/34.70 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 34.49/34.70 inference(symmetry,[status(thm)],[846])).
% 34.49/34.70 tff(848,assumption,(~(inverse(sk_c1) = sk_c8)), introduced(assumption)).
% 34.49/34.70 tff(849,plain,
% 34.49/34.70 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 34.49/34.70 inference(rewrite,[status(thm)],[])).
% 34.49/34.70 tff(850,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 34.49/34.70 tff(851,plain,
% 34.49/34.70 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.49/34.70 inference(modus_ponens,[status(thm)],[850, 849])).
% 34.49/34.70 tff(852,plain,
% 34.49/34.70 (multiply(sk_c4, sk_c7) = sk_c8),
% 34.49/34.70 inference(unit_resolution,[status(thm)],[851, 848])).
% 34.49/34.70 tff(853,plain,
% 34.49/34.70 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[852])).
% 34.49/34.70 tff(854,plain,
% 34.49/34.70 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 34.49/34.70 inference(symmetry,[status(thm)],[853])).
% 34.49/34.70 tff(855,plain,
% 34.49/34.70 (sk_c8 = multiply(sk_c4, sk_c7)),
% 34.49/34.70 inference(symmetry,[status(thm)],[852])).
% 34.49/34.70 tff(856,plain,
% 34.49/34.70 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c4, sk_c7), sk_c8)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[855])).
% 34.49/34.70 tff(857,plain,
% 34.49/34.70 (multiply(multiply(sk_c4, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 34.49/34.70 inference(symmetry,[status(thm)],[856])).
% 34.49/34.70 tff(858,plain,
% 34.49/34.70 (multiply(sk_c4, multiply(sk_c7, sk_c8)) = multiply(sk_c4, sk_c6)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[196])).
% 34.49/34.70 tff(859,plain,
% 34.49/34.70 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 34.49/34.70 inference(symmetry,[status(thm)],[858])).
% 34.49/34.70 tff(860,plain,
% 34.49/34.70 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 34.49/34.70 inference(rewrite,[status(thm)],[])).
% 34.49/34.70 tff(861,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 34.49/34.70 tff(862,plain,
% 34.49/34.70 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.49/34.70 inference(modus_ponens,[status(thm)],[861, 860])).
% 34.49/34.70 tff(863,plain,
% 34.49/34.70 (multiply(sk_c5, sk_c6) = sk_c7),
% 34.49/34.70 inference(unit_resolution,[status(thm)],[862, 848])).
% 34.49/34.70 tff(864,plain,
% 34.49/34.70 (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c7, sk_c8)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[863])).
% 34.49/34.70 tff(865,plain,
% 34.49/34.70 (multiply(sk_c5, multiply(sk_c6, sk_c8)) = sk_c6),
% 34.49/34.70 inference(transitivity,[status(thm)],[517, 864, 196])).
% 34.49/34.70 tff(866,plain,
% 34.49/34.70 (multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, sk_c8))) = multiply(sk_c4, sk_c6)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[865])).
% 34.49/34.70 tff(867,plain,
% 34.49/34.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, sk_c8)) = multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, sk_c8))))),
% 34.49/34.70 inference(quant_inst,[status(thm)],[])).
% 34.49/34.70 tff(868,plain,
% 34.49/34.70 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, sk_c8)) = multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, sk_c8)))),
% 34.49/34.70 inference(unit_resolution,[status(thm)],[867, 57])).
% 34.49/34.70 tff(869,plain,
% 34.49/34.70 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c6, sk_c8)),
% 34.49/34.70 inference(symmetry,[status(thm)],[502])).
% 34.49/34.70 tff(870,plain,
% 34.49/34.70 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 34.49/34.70 inference(symmetry,[status(thm)],[501])).
% 34.49/34.70 tff(871,plain,
% 34.49/34.70 (multiply(sk_c8, sk_c8) = sk_c7),
% 34.49/34.70 inference(transitivity,[status(thm)],[854, 495, 847, 11])).
% 34.49/34.70 tff(872,plain,
% 34.49/34.70 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, sk_c7)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[871])).
% 34.49/34.70 tff(873,plain,
% 34.49/34.70 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 34.49/34.70 inference(symmetry,[status(thm)],[872])).
% 34.49/34.70 tff(874,plain,
% 34.49/34.70 (sk_c7 = multiply(sk_c5, sk_c6)),
% 34.49/34.70 inference(symmetry,[status(thm)],[863])).
% 34.49/34.70 tff(875,plain,
% 34.49/34.70 (sk_c7 = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 34.49/34.70 inference(transitivity,[status(thm)],[874, 289, 287])).
% 34.49/34.70 tff(876,plain,
% 34.49/34.70 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), sk_c8))),
% 34.49/34.70 inference(monotonicity,[status(thm)],[875])).
% 34.49/34.70 tff(877,plain,
% 34.49/34.70 (multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), sk_c8)) = multiply(sk_c7, sk_c7)),
% 34.49/34.70 inference(symmetry,[status(thm)],[876])).
% 34.49/34.70 tff(878,plain,
% 34.49/34.70 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c7))),
% 34.49/34.70 inference(rewrite,[status(thm)],[])).
% 34.49/34.70 tff(879,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 34.49/34.70 tff(880,plain,
% 34.49/34.70 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 34.49/34.70 inference(modus_ponens,[status(thm)],[879, 878])).
% 34.49/34.70 tff(881,plain,
% 34.49/34.70 (inverse(sk_c5) = sk_c7),
% 34.49/34.70 inference(unit_resolution,[status(thm)],[880, 848])).
% 34.49/34.70 tff(882,plain,
% 34.49/34.70 (sk_c7 = inverse(sk_c5)),
% 34.49/34.70 inference(symmetry,[status(thm)],[881])).
% 34.49/34.70 tff(883,plain,
% 34.49/34.70 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[882])).
% 34.49/34.70 tff(884,plain,
% 34.49/34.70 (multiply(sk_c7, sk_c5) = multiply(sk_c8, sk_c4)),
% 34.49/34.70 inference(transitivity,[status(thm)],[883, 46, 32, 844])).
% 34.49/34.70 tff(885,plain,
% 34.49/34.70 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[884])).
% 34.49/34.70 tff(886,plain,
% 34.49/34.70 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = sk_c7),
% 34.49/34.70 inference(transitivity,[status(thm)],[60, 885, 847, 11])).
% 34.49/34.70 tff(887,plain,
% 34.49/34.70 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c8) = multiply(sk_c7, sk_c8)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[886])).
% 34.49/34.70 tff(888,plain,
% 34.49/34.70 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c8)),
% 34.49/34.70 inference(symmetry,[status(thm)],[887])).
% 34.49/34.70 tff(889,plain,
% 34.49/34.70 (sk_c6 = multiply(sk_c6, sk_c8)),
% 34.49/34.70 inference(transitivity,[status(thm)],[197, 888, 698, 877, 873, 870, 869])).
% 34.49/34.70 tff(890,plain,
% 34.49/34.70 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, sk_c8))),
% 34.49/34.70 inference(monotonicity,[status(thm)],[889])).
% 34.49/34.70 tff(891,plain,
% 34.49/34.70 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 34.49/34.70 inference(monotonicity,[status(thm)],[874])).
% 34.49/34.70 tff(892,plain,
% 34.49/34.70 (sk_c8 = sk_c7),
% 34.49/34.70 inference(transitivity,[status(thm)],[855, 891, 521, 890, 868, 866, 859, 624, 857, 854, 495, 847, 11])).
% 34.49/34.70 tff(893,plain,
% 34.49/34.70 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[841])).
% 34.49/34.70 tff(894,plain,
% 34.49/34.70 ((multiply(sk_c4, inverse(sk_c4)) = sk_c8) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[893, 892])).
% 34.49/34.70 tff(895,plain,
% 34.49/34.70 ((multiply(sk_c4, sk_c8) = sk_c7) <=> (multiply(sk_c4, inverse(sk_c4)) = sk_c8)),
% 34.49/34.70 inference(symmetry,[status(thm)],[894])).
% 34.49/34.70 tff(896,plain,
% 34.49/34.70 (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[852])).
% 34.49/34.70 tff(897,plain,
% 34.49/34.70 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c4, sk_c7), sk_c7)),
% 34.49/34.70 inference(symmetry,[status(thm)],[721])).
% 34.49/34.70 tff(898,plain,
% 34.49/34.70 (sk_c6 = multiply(sk_c7, sk_c7)),
% 34.49/34.70 inference(transitivity,[status(thm)],[197, 888, 698, 877])).
% 34.49/34.70 tff(899,plain,
% 34.49/34.70 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 34.49/34.70 inference(monotonicity,[status(thm)],[898])).
% 34.49/34.70 tff(900,plain,
% 34.49/34.70 (sk_c8 = sk_c6),
% 34.49/34.70 inference(transitivity,[status(thm)],[855, 891, 521, 890, 868, 866, 899, 897, 896, 725])).
% 34.49/34.70 tff(901,plain,
% 34.49/34.70 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c6)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[900])).
% 34.49/34.70 tff(902,plain,
% 34.49/34.70 (multiply(sk_c4, sk_c8) = sk_c7),
% 34.49/34.70 inference(transitivity,[status(thm)],[901, 859, 624, 857, 854, 495, 847, 11])).
% 34.49/34.70 tff(903,plain,
% 34.49/34.70 (multiply(sk_c4, inverse(sk_c4)) = sk_c8),
% 34.49/34.70 inference(modus_ponens,[status(thm)],[902, 895])).
% 34.49/34.70 tff(904,plain,
% 34.49/34.70 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c7)),
% 34.49/34.70 inference(symmetry,[status(thm)],[891])).
% 34.49/34.70 tff(905,plain,
% 34.49/34.70 (multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 34.49/34.70 inference(symmetry,[status(thm)],[890])).
% 34.49/34.70 tff(906,plain,
% 34.49/34.70 (multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, sk_c8))) = multiply(multiply(sk_c4, sk_c5), multiply(sk_c6, sk_c8))),
% 34.49/34.70 inference(symmetry,[status(thm)],[868])).
% 34.49/34.70 tff(907,plain,
% 34.49/34.70 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, sk_c8)))),
% 34.49/34.70 inference(symmetry,[status(thm)],[866])).
% 34.49/34.70 tff(908,plain,
% 34.49/34.70 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(sk_c4, sk_c6)),
% 34.49/34.70 inference(symmetry,[status(thm)],[899])).
% 34.49/34.70 tff(909,plain,
% 34.49/34.70 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c4, sk_c7), sk_c7)),
% 34.49/34.70 inference(symmetry,[status(thm)],[896])).
% 34.49/34.70 tff(910,plain,
% 34.49/34.70 (multiply(inverse(sk_c4), sk_c7) = multiply(sk_c8, sk_c7)),
% 34.49/34.70 inference(monotonicity,[status(thm)],[841])).
% 34.49/34.70 tff(911,plain,
% 34.49/34.70 (multiply(inverse(sk_c4), sk_c7) = sk_c8),
% 34.49/34.70 inference(transitivity,[status(thm)],[910, 909, 721, 908, 907, 906, 905, 315, 904, 852])).
% 34.49/34.70 tff(912,plain,
% 34.49/34.70 ((sk_c8 = multiply(inverse(sk_c4), sk_c7)) <=> (multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 34.49/34.70 inference(commutativity,[status(thm)],[])).
% 34.49/34.70 tff(913,plain,
% 34.49/34.70 (multiply(sk_c8, sk_c7) = multiply(inverse(sk_c4), sk_c7)),
% 34.49/34.70 inference(symmetry,[status(thm)],[910])).
% 34.49/34.70 tff(914,plain,
% 34.49/34.70 (sk_c7 = multiply(inverse(sk_c4), sk_c7)),
% 34.49/34.70 inference(transitivity,[status(thm)],[408, 846, 494, 853, 856, 623, 858, 899, 897, 896, 913])).
% 34.49/34.70 tff(915,plain,
% 34.49/34.70 ((inverse(sk_c4) = sk_c7) <=> (sk_c8 = multiply(inverse(sk_c4), sk_c7))),
% 34.55/34.70 inference(monotonicity,[status(thm)],[841, 914])).
% 34.55/34.70 tff(916,plain,
% 34.55/34.70 ((inverse(sk_c4) = sk_c7) <=> (multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 34.55/34.70 inference(transitivity,[status(thm)],[915, 912])).
% 34.55/34.70 tff(917,plain,
% 34.55/34.70 ((multiply(inverse(sk_c4), sk_c7) = sk_c8) <=> (inverse(sk_c4) = sk_c7)),
% 34.55/34.70 inference(symmetry,[status(thm)],[916])).
% 34.55/34.70 tff(918,plain,
% 34.55/34.70 (inverse(sk_c4) = sk_c7),
% 34.55/34.70 inference(modus_ponens,[status(thm)],[911, 917])).
% 34.55/34.70 tff(919,plain,
% 34.55/34.70 (multiply(sk_c4, sk_c6) = sk_c7),
% 34.55/34.70 inference(transitivity,[status(thm)],[859, 624, 857, 854, 495, 847, 11])).
% 34.55/34.70 tff(920,plain,
% 34.55/34.70 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)))),
% 34.55/34.70 inference(rewrite,[status(thm)],[])).
% 34.55/34.70 tff(921,plain,
% 34.55/34.70 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)))),
% 34.55/34.70 inference(rewrite,[status(thm)],[])).
% 34.55/34.70 tff(922,plain,
% 34.55/34.70 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8))))),
% 34.55/34.70 inference(monotonicity,[status(thm)],[921])).
% 34.55/34.70 tff(923,plain,
% 34.55/34.70 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)))),
% 34.55/34.70 inference(transitivity,[status(thm)],[922, 920])).
% 34.55/34.70 tff(924,plain,
% 34.55/34.70 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)))),
% 34.55/34.70 inference(quant_inst,[status(thm)],[])).
% 34.55/34.70 tff(925,plain,
% 34.55/34.70 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8))),
% 34.55/34.70 inference(modus_ponens,[status(thm)],[924, 923])).
% 34.55/34.70 tff(926,plain,
% 34.55/34.70 ((~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8))),
% 34.55/34.70 inference(unit_resolution,[status(thm)],[925, 725, 196, 841, 644])).
% 34.55/34.70 tff(927,plain,
% 34.55/34.70 ($false),
% 34.55/34.70 inference(unit_resolution,[status(thm)],[926, 902, 919, 852, 918, 911, 903])).
% 34.55/34.70 tff(928,plain,(inverse(sk_c1) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 34.55/34.71 tff(929,plain,
% 34.55/34.71 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[928])).
% 34.55/34.71 tff(930,plain,
% 34.55/34.71 (identity = multiply(sk_c8, sk_c1)),
% 34.55/34.71 inference(transitivity,[status(thm)],[81, 929])).
% 34.55/34.71 tff(931,plain,
% 34.55/34.71 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[930])).
% 34.55/34.71 tff(932,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 34.55/34.71 inference(symmetry,[status(thm)],[931])).
% 34.55/34.71 tff(933,plain,
% 34.55/34.71 (sk_c6 = sk_c8),
% 34.55/34.71 inference(transitivity,[status(thm)],[768, 788, 87, 932, 9])).
% 34.55/34.71 tff(934,plain,
% 34.55/34.71 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c6) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.71 tff(935,plain,
% 34.55/34.71 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c6)),
% 34.55/34.71 inference(symmetry,[status(thm)],[934])).
% 34.55/34.71 tff(936,plain,
% 34.55/34.71 (multiply(inverse(sk_c7), multiply(sk_c1, sk_c8)) = multiply(inverse(sk_c7), sk_c7)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[653])).
% 34.55/34.71 tff(937,plain,
% 34.55/34.71 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c8))),
% 34.55/34.71 inference(symmetry,[status(thm)],[936])).
% 34.55/34.71 tff(938,plain,
% 34.55/34.71 (identity = multiply(multiply(inverse(sk_c7), sk_c1), sk_c6)),
% 34.55/34.71 inference(transitivity,[status(thm)],[165, 937, 164, 935])).
% 34.55/34.71 tff(939,plain,
% 34.55/34.71 (multiply(identity, sk_c7) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c7)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[938])).
% 34.55/34.71 tff(940,plain,
% 34.55/34.71 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 34.55/34.71 inference(symmetry,[status(thm)],[939])).
% 34.55/34.71 tff(941,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c7) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c7)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(942,plain,
% 34.55/34.71 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c7) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c7))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[941, 57])).
% 34.55/34.71 tff(943,plain,
% 34.55/34.71 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c7)),
% 34.55/34.71 inference(symmetry,[status(thm)],[942])).
% 34.55/34.71 tff(944,plain,
% 34.55/34.71 (multiply(sk_c6, sk_c7) = multiply(sk_c8, sk_c7)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.71 tff(945,plain,
% 34.55/34.71 (multiply(sk_c6, sk_c7) = sk_c8),
% 34.55/34.71 inference(transitivity,[status(thm)],[944, 788, 87, 932, 9])).
% 34.55/34.71 tff(946,plain,
% 34.55/34.71 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c7)) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[945])).
% 34.55/34.71 tff(947,plain,
% 34.55/34.71 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c7))),
% 34.55/34.71 inference(symmetry,[status(thm)],[946])).
% 34.55/34.71 tff(948,plain,
% 34.55/34.71 (identity = sk_c7),
% 34.55/34.71 inference(transitivity,[status(thm)],[165, 937, 164, 947, 943, 940, 11])).
% 34.55/34.71 tff(949,plain,
% 34.55/34.71 (multiply(sk_c6, identity) = multiply(sk_c8, sk_c7)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933, 948])).
% 34.55/34.71 tff(950,plain,
% 34.55/34.71 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = identity)),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(951,plain,
% 34.55/34.71 (multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = identity),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[950, 29])).
% 34.55/34.71 tff(952,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c2) = multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(953,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c1), sk_c2) = multiply(sk_c8, multiply(sk_c1, sk_c2))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[952, 57])).
% 34.55/34.71 tff(954,plain,
% 34.55/34.71 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(955,plain,
% 34.55/34.71 (multiply(identity, sk_c2) = sk_c2),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[954, 7])).
% 34.55/34.71 tff(956,plain,
% 34.55/34.71 (multiply(identity, sk_c2) = multiply(multiply(sk_c8, sk_c1), sk_c2)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[930])).
% 34.55/34.71 tff(957,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c1), sk_c2) = multiply(identity, sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[956])).
% 34.55/34.71 tff(958,plain,
% 34.55/34.71 (multiply(sk_c8, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c8, sk_c1), sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[953])).
% 34.55/34.71 tff(959,plain,
% 34.55/34.71 (multiply(sk_c8, multiply(sk_c1, sk_c2)) = sk_c2),
% 34.55/34.71 inference(transitivity,[status(thm)],[958, 957, 955])).
% 34.55/34.71 tff(960,plain,
% 34.55/34.71 (multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c8, sk_c1), sk_c2)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[930, 959])).
% 34.55/34.71 tff(961,plain,
% 34.55/34.71 (multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c8, multiply(sk_c1, sk_c2))),
% 34.55/34.71 inference(transitivity,[status(thm)],[960, 953])).
% 34.55/34.71 tff(962,plain,
% 34.55/34.71 (inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))) = inverse(sk_c2)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[959])).
% 34.55/34.71 tff(963,plain,
% 34.55/34.71 (inverse(sk_c2) = inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[962])).
% 34.55/34.71 tff(964,assumption,(~(multiply(sk_c4, sk_c7) = sk_c8)), introduced(assumption)).
% 34.55/34.71 tff(965,plain,
% 34.55/34.71 (((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 34.55/34.71 inference(rewrite,[status(thm)],[])).
% 34.55/34.71 tff(966,axiom,((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_23')).
% 34.55/34.71 tff(967,plain,
% 34.55/34.71 ((inverse(sk_c2) = sk_c3) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.55/34.71 inference(modus_ponens,[status(thm)],[966, 965])).
% 34.55/34.71 tff(968,plain,
% 34.55/34.71 (inverse(sk_c2) = sk_c3),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[967, 964])).
% 34.55/34.71 tff(969,plain,
% 34.55/34.71 (sk_c3 = inverse(sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[968])).
% 34.55/34.71 tff(970,plain,
% 34.55/34.71 (sk_c3 = inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(transitivity,[status(thm)],[969, 963])).
% 34.55/34.71 tff(971,plain,
% 34.55/34.71 (multiply(sk_c3, multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[970, 961])).
% 34.55/34.71 tff(972,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c3, multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2)))))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(973,plain,
% 34.55/34.71 (multiply(multiply(sk_c3, identity), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c3, multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[972, 57])).
% 34.55/34.71 tff(974,plain,
% 34.55/34.71 (sk_c2 = multiply(identity, sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[955])).
% 34.55/34.71 tff(975,plain,
% 34.55/34.71 (sk_c2 = multiply(sk_c8, multiply(sk_c1, sk_c2))),
% 34.55/34.71 inference(transitivity,[status(thm)],[974, 956, 953])).
% 34.55/34.71 tff(976,plain,
% 34.55/34.71 (multiply(sk_c3, identity) = multiply(sk_c3, sk_c7)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[948])).
% 34.55/34.71 tff(977,plain,
% 34.55/34.71 (multiply(sk_c3, sk_c7) = multiply(sk_c3, identity)),
% 34.55/34.71 inference(symmetry,[status(thm)],[976])).
% 34.55/34.71 tff(978,plain,
% 34.55/34.71 (((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 34.55/34.71 inference(rewrite,[status(thm)],[])).
% 34.55/34.71 tff(979,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_28')).
% 34.55/34.71 tff(980,plain,
% 34.55/34.71 ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.55/34.71 inference(modus_ponens,[status(thm)],[979, 978])).
% 34.55/34.71 tff(981,plain,
% 34.55/34.71 (multiply(sk_c3, sk_c7) = sk_c8),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[980, 964])).
% 34.55/34.71 tff(982,plain,
% 34.55/34.71 (sk_c8 = multiply(sk_c3, sk_c7)),
% 34.55/34.71 inference(symmetry,[status(thm)],[981])).
% 34.55/34.71 tff(983,plain,
% 34.55/34.71 (sk_c8 = multiply(sk_c3, identity)),
% 34.55/34.71 inference(transitivity,[status(thm)],[982, 977])).
% 34.55/34.71 tff(984,plain,
% 34.55/34.71 (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c3, identity), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[983, 975])).
% 34.55/34.71 tff(985,plain,
% 34.55/34.71 (((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 34.55/34.71 inference(rewrite,[status(thm)],[])).
% 34.55/34.71 tff(986,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 34.55/34.71 tff(987,plain,
% 34.55/34.71 ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 34.55/34.71 inference(modus_ponens,[status(thm)],[986, 985])).
% 34.55/34.71 tff(988,plain,
% 34.55/34.71 (multiply(sk_c2, sk_c3) = sk_c8),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[987, 964])).
% 34.55/34.71 tff(989,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3) = multiply(sk_c2, sk_c3)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[959])).
% 34.55/34.71 tff(990,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3) = sk_c8),
% 34.55/34.71 inference(transitivity,[status(thm)],[989, 988])).
% 34.55/34.71 tff(991,plain,
% 34.55/34.71 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c8, sk_c2)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[990, 959])).
% 34.55/34.71 tff(992,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2)))))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(993,plain,
% 34.55/34.71 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[992, 57])).
% 34.55/34.71 tff(994,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[993])).
% 34.55/34.71 tff(995,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c1), sk_c2) = multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[960])).
% 34.55/34.71 tff(996,plain,
% 34.55/34.71 (multiply(sk_c8, multiply(sk_c1, sk_c2)) = multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(transitivity,[status(thm)],[958, 995])).
% 34.55/34.71 tff(997,plain,
% 34.55/34.71 (multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c3, multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[996])).
% 34.55/34.71 tff(998,plain,
% 34.55/34.71 (multiply(sk_c3, multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[997])).
% 34.55/34.71 tff(999,plain,
% 34.55/34.71 (multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c3, multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.71 inference(symmetry,[status(thm)],[971])).
% 34.55/34.71 tff(1000,plain,
% 34.55/34.71 (identity = multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[951])).
% 34.55/34.71 tff(1001,plain,
% 34.55/34.71 (identity = multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(transitivity,[status(thm)],[1000, 999, 998])).
% 34.55/34.71 tff(1002,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1001])).
% 34.55/34.71 tff(1003,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity) = identity),
% 34.55/34.71 inference(transitivity,[status(thm)],[1002, 994, 991, 984, 973, 971, 951])).
% 34.55/34.71 tff(1004,plain,
% 34.55/34.71 (multiply(sk_c6, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity)) = multiply(sk_c6, identity)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1003])).
% 34.55/34.71 tff(1005,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))), identity) = multiply(sk_c6, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1006,plain,
% 34.55/34.71 (multiply(multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))), identity) = multiply(sk_c6, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1005, 57])).
% 34.55/34.71 tff(1007,plain,
% 34.55/34.71 (multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c8, sk_c2)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933, 959])).
% 34.55/34.71 tff(1008,plain,
% 34.55/34.71 (multiply(sk_c8, sk_c2) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1007])).
% 34.55/34.71 tff(1009,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c2), identity) = multiply(multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))), identity)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1008])).
% 34.55/34.71 tff(1010,plain,
% 34.55/34.71 (multiply(multiply(sk_c3, identity), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c8, sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[984])).
% 34.55/34.71 tff(1011,plain,
% 34.55/34.71 (multiply(sk_c3, multiply(identity, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(sk_c3, identity), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[973])).
% 34.55/34.71 tff(1012,plain,
% 34.55/34.71 (identity = multiply(sk_c8, sk_c2)),
% 34.55/34.71 inference(transitivity,[status(thm)],[1000, 999, 1011, 1010])).
% 34.55/34.71 tff(1013,plain,
% 34.55/34.71 (multiply(identity, identity) = multiply(multiply(sk_c8, sk_c2), identity)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1012])).
% 34.55/34.71 tff(1014,plain,
% 34.55/34.71 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[929])).
% 34.55/34.71 tff(1015,plain,
% 34.55/34.71 (multiply(sk_c6, sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.71 tff(1016,plain,
% 34.55/34.71 (multiply(sk_c6, sk_c1) = identity),
% 34.55/34.71 inference(transitivity,[status(thm)],[1015, 1014, 80])).
% 34.55/34.71 tff(1017,plain,
% 34.55/34.71 (multiply(identity, multiply(sk_c6, sk_c1)) = multiply(identity, identity)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1016])).
% 34.55/34.71 tff(1018,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), sk_c1) = multiply(identity, multiply(sk_c6, sk_c1)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1019,plain,
% 34.55/34.71 (multiply(multiply(identity, sk_c6), sk_c1) = multiply(identity, multiply(sk_c6, sk_c1))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1018, 57])).
% 34.55/34.71 tff(1020,plain,
% 34.55/34.71 (multiply(identity, sk_c6) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[930, 933])).
% 34.55/34.71 tff(1021,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c6)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1020])).
% 34.55/34.71 tff(1022,plain,
% 34.55/34.71 (sk_c8 = multiply(identity, sk_c6)),
% 34.55/34.71 inference(transitivity,[status(thm)],[94, 931, 1021])).
% 34.55/34.71 tff(1023,plain,
% 34.55/34.71 (multiply(sk_c8, sk_c1) = multiply(multiply(identity, sk_c6), sk_c1)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1022])).
% 34.55/34.71 tff(1024,plain,
% 34.55/34.71 (multiply(sk_c8, sk_c1) = multiply(sk_c8, sk_c4)),
% 34.55/34.71 inference(transitivity,[status(thm)],[1014, 80, 32, 844])).
% 34.55/34.71 tff(1025,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c1), sk_c2) = multiply(multiply(sk_c8, sk_c4), sk_c2)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1024])).
% 34.55/34.71 tff(1026,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c4), sk_c2) = multiply(multiply(sk_c8, sk_c1), sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1025])).
% 34.55/34.71 tff(1027,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c2) = multiply(sk_c8, multiply(sk_c4, sk_c2)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1028,plain,
% 34.55/34.71 (multiply(multiply(sk_c8, sk_c4), sk_c2) = multiply(sk_c8, multiply(sk_c4, sk_c2))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1027, 57])).
% 34.55/34.71 tff(1029,plain,
% 34.55/34.71 (multiply(sk_c8, multiply(sk_c4, sk_c2)) = multiply(multiply(sk_c8, sk_c4), sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1028])).
% 34.55/34.71 tff(1030,plain,
% 34.55/34.71 (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c8)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.71 tff(1031,plain,
% 34.55/34.71 (multiply(sk_c7, sk_c8) = multiply(sk_c7, sk_c6)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1030])).
% 34.55/34.71 tff(1032,plain,
% 34.55/34.71 (sk_c8 = multiply(sk_c7, sk_c6)),
% 34.55/34.71 inference(transitivity,[status(thm)],[94, 931, 86, 728, 725, 197, 1031])).
% 34.55/34.71 tff(1033,plain,
% 34.55/34.71 (multiply(sk_c8, multiply(sk_c4, sk_c2)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c4, sk_c2))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1032])).
% 34.55/34.71 tff(1034,plain,
% 34.55/34.71 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c4, sk_c2)) = multiply(sk_c8, multiply(sk_c4, sk_c2))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1033])).
% 34.55/34.71 tff(1035,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), multiply(sk_c4, sk_c2)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c4, sk_c2))))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1036,plain,
% 34.55/34.71 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c4, sk_c2)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c4, sk_c2)))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1035, 57])).
% 34.55/34.71 tff(1037,plain,
% 34.55/34.71 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c4, sk_c2))) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c4, sk_c2))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1036])).
% 34.55/34.71 tff(1038,plain,
% 34.55/34.71 (multiply(sk_c6, multiply(sk_c4, sk_c2)) = multiply(sk_c8, multiply(sk_c4, sk_c2))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.71 tff(1039,plain,
% 34.55/34.71 (multiply(sk_c6, multiply(sk_c4, sk_c2)) = sk_c2),
% 34.55/34.71 inference(transitivity,[status(thm)],[1038, 1029, 1026, 957, 955])).
% 34.55/34.71 tff(1040,plain,
% 34.55/34.71 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c4, sk_c2))) = multiply(sk_c7, sk_c2)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1039])).
% 34.55/34.71 tff(1041,plain,
% 34.55/34.71 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c4, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1040])).
% 34.55/34.71 tff(1042,plain,
% 34.55/34.71 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[930])).
% 34.55/34.71 tff(1043,plain,
% 34.55/34.71 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(sk_c1, identity)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1042])).
% 34.55/34.71 tff(1044,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6) = multiply(multiply(sk_c1, identity), sk_c6)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1043])).
% 34.55/34.71 tff(1045,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, identity), sk_c6) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1044])).
% 34.55/34.71 tff(1046,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), sk_c6) = multiply(sk_c1, multiply(identity, sk_c6)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1047,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, identity), sk_c6) = multiply(sk_c1, multiply(identity, sk_c6))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1046, 57])).
% 34.55/34.71 tff(1048,plain,
% 34.55/34.71 (multiply(sk_c1, multiply(identity, sk_c6)) = multiply(multiply(sk_c1, identity), sk_c6)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1047])).
% 34.55/34.71 tff(1049,plain,
% 34.55/34.71 (multiply(identity, sk_c6) = sk_c6),
% 34.55/34.71 inference(transitivity,[status(thm)],[1020, 86, 728, 725])).
% 34.55/34.71 tff(1050,plain,
% 34.55/34.71 (multiply(sk_c1, multiply(identity, sk_c6)) = multiply(sk_c1, sk_c6)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1049])).
% 34.55/34.71 tff(1051,plain,
% 34.55/34.71 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(identity, sk_c6))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1050])).
% 34.55/34.71 tff(1052,plain,
% 34.55/34.71 (multiply(sk_c1, sk_c6) = multiply(sk_c1, sk_c8)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.71 tff(1053,plain,
% 34.55/34.71 (multiply(sk_c1, sk_c8) = multiply(sk_c1, sk_c6)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1052])).
% 34.55/34.71 tff(1054,plain,
% 34.55/34.71 (sk_c7 = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6)),
% 34.55/34.71 inference(transitivity,[status(thm)],[654, 1053, 1051, 1048, 1045])).
% 34.55/34.71 tff(1055,plain,
% 34.55/34.71 (multiply(sk_c7, sk_c2) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1054, 975])).
% 34.55/34.71 tff(1056,plain,
% 34.55/34.71 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c7, sk_c2)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1055])).
% 34.55/34.71 tff(1057,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1058,plain,
% 34.55/34.71 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1057, 57])).
% 34.55/34.71 tff(1059,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1058])).
% 34.55/34.71 tff(1060,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1043, 1007])).
% 34.55/34.71 tff(1061,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1060])).
% 34.55/34.71 tff(1062,plain,
% 34.55/34.71 (multiply(sk_c8, sk_c2) = identity),
% 34.55/34.71 inference(transitivity,[status(thm)],[984, 973, 971, 951])).
% 34.55/34.71 tff(1063,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1042, 1062])).
% 34.55/34.71 tff(1064,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity) = multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2))),
% 34.55/34.71 inference(symmetry,[status(thm)],[1063])).
% 34.55/34.71 tff(1065,plain,
% 34.55/34.71 (multiply(sk_c8, sk_c1) = multiply(sk_c6, sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1015])).
% 34.55/34.71 tff(1066,plain,
% 34.55/34.71 (identity = multiply(sk_c6, sk_c1)),
% 34.55/34.71 inference(transitivity,[status(thm)],[81, 929, 1065])).
% 34.55/34.71 tff(1067,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, sk_c1))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1066])).
% 34.55/34.71 tff(1068,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1067])).
% 34.55/34.71 tff(1069,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, sk_c1)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1070,plain,
% 34.55/34.71 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, sk_c1))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1069, 57])).
% 34.55/34.71 tff(1071,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6) = multiply(sk_c1, sk_c8)),
% 34.55/34.71 inference(transitivity,[status(thm)],[1044, 1047, 1050, 1052])).
% 34.55/34.71 tff(1072,plain,
% 34.55/34.71 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), sk_c1) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1071])).
% 34.55/34.71 tff(1073,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, sk_c8), sk_c1) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1072])).
% 34.55/34.71 tff(1074,plain,
% 34.55/34.71 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1075,plain,
% 34.55/34.71 (multiply(identity, sk_c1) = sk_c1),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1074, 7])).
% 34.55/34.71 tff(1076,plain,
% 34.55/34.71 (sk_c1 = multiply(identity, sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1075])).
% 34.55/34.71 tff(1077,plain,
% 34.55/34.71 (multiply(multiply(sk_c1, sk_c8), sk_c1) = multiply(sk_c7, multiply(identity, sk_c1))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[653, 1076])).
% 34.55/34.71 tff(1078,plain,
% 34.55/34.71 (multiply(sk_c7, multiply(identity, sk_c1)) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1077])).
% 34.55/34.71 tff(1079,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c1) = multiply(sk_c7, multiply(identity, sk_c1)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1080,plain,
% 34.55/34.71 (multiply(multiply(sk_c7, identity), sk_c1) = multiply(sk_c7, multiply(identity, sk_c1))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1079, 57])).
% 34.55/34.71 tff(1081,plain,
% 34.55/34.71 (multiply(sk_c7, sk_c6) = sk_c8),
% 34.55/34.71 inference(transitivity,[status(thm)],[1030, 196, 768, 788, 87, 932, 9])).
% 34.55/34.71 tff(1082,plain,
% 34.55/34.71 (multiply(multiply(sk_c7, sk_c6), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1081])).
% 34.55/34.71 tff(1083,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c1) = multiply(sk_c7, multiply(sk_c6, sk_c1)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1084,plain,
% 34.55/34.71 (multiply(multiply(sk_c7, sk_c6), sk_c1) = multiply(sk_c7, multiply(sk_c6, sk_c1))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1083, 57])).
% 34.55/34.71 tff(1085,plain,
% 34.55/34.71 (multiply(sk_c7, multiply(sk_c6, sk_c1)) = multiply(multiply(sk_c7, sk_c6), sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1084])).
% 34.55/34.71 tff(1086,plain,
% 34.55/34.71 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c6, sk_c1))),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1066])).
% 34.55/34.71 tff(1087,plain,
% 34.55/34.71 (multiply(sk_c7, identity) = identity),
% 34.55/34.71 inference(transitivity,[status(thm)],[1086, 1085, 1082, 1014, 80])).
% 34.55/34.71 tff(1088,plain,
% 34.55/34.71 (multiply(multiply(sk_c7, identity), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[1087])).
% 34.55/34.71 tff(1089,plain,
% 34.55/34.71 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, identity), sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1088])).
% 34.55/34.71 tff(1090,plain,
% 34.55/34.71 (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c1)),
% 34.55/34.71 inference(monotonicity,[status(thm)],[938])).
% 34.55/34.71 tff(1091,plain,
% 34.55/34.71 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1090])).
% 34.55/34.71 tff(1092,plain,
% 34.55/34.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c1) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c1)))),
% 34.55/34.71 inference(quant_inst,[status(thm)],[])).
% 34.55/34.71 tff(1093,plain,
% 34.55/34.71 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c1) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c1))),
% 34.55/34.71 inference(unit_resolution,[status(thm)],[1092, 57])).
% 34.55/34.71 tff(1094,plain,
% 34.55/34.71 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c1)) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c1)),
% 34.55/34.71 inference(symmetry,[status(thm)],[1093])).
% 34.55/34.72 tff(1095,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c1)) = multiply(multiply(inverse(sk_c7), sk_c1), identity)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1016])).
% 34.55/34.72 tff(1096,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), identity) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c1))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1095])).
% 34.55/34.72 tff(1097,plain,
% 34.55/34.72 (multiply(sk_c7, sk_c1) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[654])).
% 34.55/34.72 tff(1098,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, sk_c8), sk_c1) = multiply(sk_c7, sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1097])).
% 34.55/34.72 tff(1099,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c1) = multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1100,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, sk_c8), sk_c1) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1099, 57])).
% 34.55/34.72 tff(1101,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1100])).
% 34.55/34.72 tff(1102,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(sk_c7, sk_c1)),
% 34.55/34.72 inference(transitivity,[status(thm)],[1101, 1098])).
% 34.55/34.72 tff(1103,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1102])).
% 34.55/34.72 tff(1104,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(sk_c7, sk_c1)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1103])).
% 34.55/34.72 tff(1105,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c6, multiply(sk_c7, sk_c1)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1106,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1105, 57])).
% 34.55/34.72 tff(1107,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[945])).
% 34.55/34.72 tff(1108,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c1) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1107])).
% 34.55/34.72 tff(1109,plain,
% 34.55/34.72 (identity = multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.72 inference(transitivity,[status(thm)],[81, 929, 1108, 1106, 1104])).
% 34.55/34.72 tff(1110,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), identity) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1109])).
% 34.55/34.72 tff(1111,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(inverse(sk_c7), sk_c1), identity)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1110])).
% 34.55/34.72 tff(1112,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1113,plain,
% 34.55/34.72 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1112, 57])).
% 34.55/34.72 tff(1114,plain,
% 34.55/34.72 (multiply(sk_c7, multiply(identity, sk_c1)) = multiply(multiply(sk_c7, identity), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1080])).
% 34.55/34.72 tff(1115,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = sk_c1),
% 34.55/34.72 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1088, 1075])).
% 34.55/34.72 tff(1116,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c6) = multiply(sk_c8, sk_c2)),
% 34.55/34.72 inference(transitivity,[status(thm)],[934, 121, 936, 117, 1000, 999, 1011, 1010])).
% 34.55/34.72 tff(1117,plain,
% 34.55/34.72 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, sk_c2), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1116, 1115])).
% 34.55/34.72 tff(1118,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1117])).
% 34.55/34.72 tff(1119,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, sk_c2), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1115])).
% 34.55/34.72 tff(1120,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c8, multiply(sk_c1, sk_c2))),
% 34.55/34.72 inference(transitivity,[status(thm)],[1119, 1118, 1113, 1111, 1096, 1094, 1091, 1089, 1080, 1078, 1073, 1070, 1068, 1064, 1061, 1059, 1056, 1041, 1037, 1034, 1029, 1026, 953])).
% 34.55/34.72 tff(1121,plain,
% 34.55/34.72 (multiply(multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(sk_c8, sk_c1))), identity) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1120])).
% 34.55/34.72 tff(1122,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(sk_c8, sk_c1))), identity) = multiply(multiply(sk_c8, sk_c2), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1123,plain,
% 34.55/34.72 (multiply(multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(sk_c8, sk_c1))), identity) = multiply(multiply(sk_c8, sk_c2), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1122, 57])).
% 34.55/34.72 tff(1124,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c2), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity)) = multiply(multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(sk_c8, sk_c1))), identity)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1123])).
% 34.55/34.72 tff(1125,plain,
% 34.55/34.72 (sk_c1 = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity)),
% 34.55/34.72 inference(transitivity,[status(thm)],[1076, 1089, 1080, 1078, 1073, 1070, 1068])).
% 34.55/34.72 tff(1126,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(multiply(sk_c8, sk_c2), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), identity))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1125])).
% 34.55/34.72 tff(1127,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1113])).
% 34.55/34.72 tff(1128,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(transitivity,[status(thm)],[843, 31, 81, 929])).
% 34.55/34.72 tff(1129,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1128])).
% 34.55/34.72 tff(1130,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1131,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1130, 57])).
% 34.55/34.72 tff(1132,plain,
% 34.55/34.72 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1131])).
% 34.55/34.72 tff(1133,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(sk_c4, sk_c8)) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.72 tff(1134,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(sk_c4, sk_c8)) = sk_c8),
% 34.55/34.72 inference(transitivity,[status(thm)],[1133, 1132, 1129, 932, 9])).
% 34.55/34.72 tff(1135,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c8)), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1134])).
% 34.55/34.72 tff(1136,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c4, sk_c8)), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1137,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c8)), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1136, 57])).
% 34.55/34.72 tff(1138,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c4, sk_c8)), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1137])).
% 34.55/34.72 tff(1139,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1)) = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[1138, 1135, 1014, 80])).
% 34.55/34.72 tff(1140,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1))) = multiply(multiply(inverse(sk_c7), sk_c1), identity)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1139])).
% 34.55/34.72 tff(1141,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(multiply(sk_c4, sk_c8), sk_c1)) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1))))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1142,plain,
% 34.55/34.72 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(multiply(sk_c4, sk_c8), sk_c1)) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1)))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1141, 57])).
% 34.55/34.72 tff(1143,plain,
% 34.55/34.72 (multiply(identity, multiply(multiply(sk_c4, sk_c8), sk_c1)) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(multiply(sk_c4, sk_c8), sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[938])).
% 34.55/34.72 tff(1144,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c4, sk_c8)), sk_c1) = multiply(identity, multiply(multiply(sk_c4, sk_c8), sk_c1)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1145,plain,
% 34.55/34.72 (multiply(multiply(identity, multiply(sk_c4, sk_c8)), sk_c1) = multiply(identity, multiply(multiply(sk_c4, sk_c8), sk_c1))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1144, 57])).
% 34.55/34.72 tff(1146,plain,
% 34.55/34.72 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c4, sk_c8)) = multiply(sk_c4, sk_c8))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1147,plain,
% 34.55/34.72 (multiply(identity, multiply(sk_c4, sk_c8)) = multiply(sk_c4, sk_c8)),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1146, 7])).
% 34.55/34.72 tff(1148,plain,
% 34.55/34.72 (multiply(sk_c4, sk_c8) = multiply(identity, multiply(sk_c4, sk_c8))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1147])).
% 34.55/34.72 tff(1149,plain,
% 34.55/34.72 (multiply(multiply(sk_c4, sk_c8), sk_c1) = multiply(multiply(identity, multiply(sk_c4, sk_c8)), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1148])).
% 34.55/34.72 tff(1150,plain,
% 34.55/34.72 (multiply(sk_c4, sk_c6) = multiply(sk_c4, sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[933])).
% 34.55/34.72 tff(1151,plain,
% 34.55/34.72 (multiply(multiply(sk_c4, sk_c6), sk_c1) = multiply(multiply(sk_c4, sk_c8), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1150])).
% 34.55/34.72 tff(1152,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c1) = multiply(sk_c4, multiply(sk_c6, sk_c1)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1153,plain,
% 34.55/34.72 (multiply(multiply(sk_c4, sk_c6), sk_c1) = multiply(sk_c4, multiply(sk_c6, sk_c1))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1152, 57])).
% 34.55/34.72 tff(1154,plain,
% 34.55/34.72 (multiply(sk_c4, multiply(sk_c6, sk_c1)) = multiply(multiply(sk_c4, sk_c6), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1153])).
% 34.55/34.72 tff(1155,plain,
% 34.55/34.72 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(sk_c6, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1066])).
% 34.55/34.72 tff(1156,plain,
% 34.55/34.72 (sk_c7 = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[408, 939, 942, 946, 121, 936, 117])).
% 34.55/34.72 tff(1157,plain,
% 34.55/34.72 (multiply(sk_c4, sk_c7) = multiply(sk_c4, identity)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1156])).
% 34.55/34.72 tff(1158,plain,
% 34.55/34.72 (multiply(sk_c4, sk_c7) = sk_c8),
% 34.55/34.72 inference(transitivity,[status(thm)],[1157, 1155, 1154, 1151, 1149, 1145, 1143, 1142, 1140, 1110, 1127, 1117, 1126, 1124, 1121, 1002, 994, 991, 984, 973, 971, 951, 81, 929, 1023, 1019, 1017, 1013, 1009, 1006, 1004, 949, 788, 87, 932, 9])).
% 34.55/34.72 tff(1159,plain,
% 34.55/34.72 ($false),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[964, 1158])).
% 34.55/34.72 tff(1160,plain,(multiply(sk_c4, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 34.55/34.72 tff(1161,plain,
% 34.55/34.72 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c8))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[654])).
% 34.55/34.72 tff(1162,plain,
% 34.55/34.72 (multiply(inverse(sk_c7), multiply(sk_c1, sk_c8)) = multiply(inverse(sk_c7), sk_c7)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1161])).
% 34.55/34.72 tff(1163,plain,
% 34.55/34.72 (sk_c8 = inverse(sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[928])).
% 34.55/34.72 tff(1164,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1163])).
% 34.55/34.72 tff(1165,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c1) = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[1164, 80])).
% 34.55/34.72 tff(1166,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1165])).
% 34.55/34.72 tff(1167,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[654])).
% 34.55/34.72 tff(1168,plain,
% 34.55/34.72 (sk_c6 = sk_c8),
% 34.55/34.72 inference(transitivity,[status(thm)],[768, 1167, 87, 1166, 9])).
% 34.55/34.72 tff(1169,plain,
% 34.55/34.72 (multiply(sk_c6, sk_c7) = multiply(sk_c8, sk_c7)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.72 tff(1170,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c7) = multiply(sk_c6, sk_c7)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1169])).
% 34.55/34.72 tff(1171,plain,
% 34.55/34.72 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, sk_c7)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1167])).
% 34.55/34.72 tff(1172,plain,
% 34.55/34.72 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1166])).
% 34.55/34.72 tff(1173,plain,
% 34.55/34.72 (sk_c8 = multiply(sk_c6, sk_c7)),
% 34.55/34.72 inference(transitivity,[status(thm)],[94, 1172, 86, 1171, 1170])).
% 34.55/34.72 tff(1174,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c7))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1173])).
% 34.55/34.72 tff(1175,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c7)) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1174])).
% 34.55/34.72 tff(1176,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c6) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.72 tff(1177,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c6) = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[1176, 121, 1162, 117])).
% 34.55/34.72 tff(1178,plain,
% 34.55/34.72 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1177])).
% 34.55/34.72 tff(1179,plain,
% 34.55/34.72 (multiply(identity, sk_c7) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c7)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1178])).
% 34.55/34.72 tff(1180,plain,
% 34.55/34.72 (sk_c7 = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[408, 1179, 942, 1175, 121, 1162, 117])).
% 34.55/34.72 tff(1181,plain,
% 34.55/34.72 (multiply(sk_c4, sk_c7) = multiply(sk_c4, identity)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1180])).
% 34.55/34.72 tff(1182,plain,
% 34.55/34.72 (multiply(sk_c4, identity) = multiply(sk_c4, sk_c7)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1181])).
% 34.55/34.72 tff(1183,plain,
% 34.55/34.72 (multiply(sk_c6, sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.72 tff(1184,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c1) = multiply(sk_c6, sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1183])).
% 34.55/34.72 tff(1185,plain,
% 34.55/34.72 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1164])).
% 34.55/34.72 tff(1186,plain,
% 34.55/34.72 (identity = multiply(sk_c6, sk_c1)),
% 34.55/34.72 inference(transitivity,[status(thm)],[81, 1185, 1184])).
% 34.55/34.72 tff(1187,plain,
% 34.55/34.72 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(sk_c6, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1186])).
% 34.55/34.72 tff(1188,plain,
% 34.55/34.72 (multiply(sk_c4, multiply(sk_c6, sk_c1)) = multiply(sk_c4, identity)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1187])).
% 34.55/34.72 tff(1189,plain,
% 34.55/34.72 (multiply(sk_c4, sk_c6) = multiply(sk_c4, sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.72 tff(1190,plain,
% 34.55/34.72 (multiply(multiply(sk_c4, sk_c6), sk_c1) = multiply(multiply(sk_c4, sk_c8), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1189])).
% 34.55/34.72 tff(1191,plain,
% 34.55/34.72 (multiply(multiply(sk_c4, sk_c8), sk_c1) = multiply(multiply(sk_c4, sk_c6), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1190])).
% 34.55/34.72 tff(1192,plain,
% 34.55/34.72 (multiply(multiply(identity, multiply(sk_c4, sk_c8)), sk_c1) = multiply(multiply(sk_c4, sk_c8), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1149])).
% 34.55/34.72 tff(1193,plain,
% 34.55/34.72 (multiply(identity, multiply(multiply(sk_c4, sk_c8), sk_c1)) = multiply(multiply(identity, multiply(sk_c4, sk_c8)), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1145])).
% 34.55/34.72 tff(1194,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c6)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1176])).
% 34.55/34.72 tff(1195,plain,
% 34.55/34.72 (identity = multiply(multiply(inverse(sk_c7), sk_c1), sk_c6)),
% 34.55/34.72 inference(transitivity,[status(thm)],[165, 1161, 164, 1194])).
% 34.55/34.72 tff(1196,plain,
% 34.55/34.72 (multiply(identity, multiply(multiply(sk_c4, sk_c8), sk_c1)) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(multiply(sk_c4, sk_c8), sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1195])).
% 34.55/34.72 tff(1197,plain,
% 34.55/34.72 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(multiply(sk_c4, sk_c8), sk_c1)) = multiply(identity, multiply(multiply(sk_c4, sk_c8), sk_c1))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1196])).
% 34.55/34.72 tff(1198,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1))) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), multiply(multiply(sk_c4, sk_c8), sk_c1))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1142])).
% 34.55/34.72 tff(1199,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(transitivity,[status(thm)],[843, 31, 81, 1185])).
% 34.55/34.72 tff(1200,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1199])).
% 34.55/34.72 tff(1201,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(sk_c4, sk_c8)) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.72 tff(1202,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(sk_c4, sk_c8)) = sk_c8),
% 34.55/34.72 inference(transitivity,[status(thm)],[1201, 1132, 1200, 1166, 9])).
% 34.55/34.72 tff(1203,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, multiply(sk_c4, sk_c8)), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1202])).
% 34.55/34.72 tff(1204,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1)) = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[1138, 1203, 1164, 80])).
% 34.55/34.72 tff(1205,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1))) = multiply(multiply(inverse(sk_c7), sk_c1), identity)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1204])).
% 34.55/34.72 tff(1206,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), identity) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, multiply(multiply(sk_c4, sk_c8), sk_c1)))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1205])).
% 34.55/34.72 tff(1207,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), identity) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1186])).
% 34.55/34.72 tff(1208,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c6, sk_c1)) = multiply(multiply(inverse(sk_c7), sk_c1), identity)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1207])).
% 34.55/34.72 tff(1209,plain,
% 34.55/34.72 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1177])).
% 34.55/34.72 tff(1210,plain,
% 34.55/34.72 (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c6), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1209])).
% 34.55/34.72 tff(1211,plain,
% 34.55/34.72 (multiply(sk_c6, sk_c7) = sk_c8),
% 34.55/34.72 inference(transitivity,[status(thm)],[1169, 1167, 87, 1166, 9])).
% 34.55/34.72 tff(1212,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1211])).
% 34.55/34.72 tff(1213,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c1) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1212])).
% 34.55/34.72 tff(1214,plain,
% 34.55/34.72 (identity = multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.72 inference(transitivity,[status(thm)],[81, 1185, 1213, 1106, 1104])).
% 34.55/34.72 tff(1215,plain,
% 34.55/34.72 (multiply(identity, sk_c1) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1214])).
% 34.55/34.72 tff(1216,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1215])).
% 34.55/34.72 tff(1217,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1218,plain,
% 34.55/34.72 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1217, 57])).
% 34.55/34.72 tff(1219,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1218])).
% 34.55/34.72 tff(1220,plain,
% 34.55/34.72 (multiply(sk_c6, sk_c1) = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[1183, 1164, 80])).
% 34.55/34.72 tff(1221,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1220])).
% 34.55/34.72 tff(1222,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c1)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1223,plain,
% 34.55/34.72 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c1))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1222, 57])).
% 34.55/34.72 tff(1224,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.72 tff(1225,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1224])).
% 34.55/34.72 tff(1226,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1227,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), sk_c8))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1226, 57])).
% 34.55/34.72 tff(1228,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1227])).
% 34.55/34.72 tff(1229,plain,
% 34.55/34.72 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c8) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(transitivity,[status(thm)],[121, 1162, 117, 81, 1185])).
% 34.55/34.72 tff(1230,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), sk_c8)) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1229])).
% 34.55/34.72 tff(1231,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), sk_c8))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1230])).
% 34.55/34.72 tff(1232,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.55/34.72 inference(transitivity,[status(thm)],[1231, 1228, 1225])).
% 34.55/34.72 tff(1233,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1232])).
% 34.55/34.72 tff(1234,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.72 inference(transitivity,[status(thm)],[1233, 1223, 1221])).
% 34.55/34.72 tff(1235,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1234])).
% 34.55/34.72 tff(1236,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1235])).
% 34.55/34.72 tff(1237,plain,
% 34.55/34.72 (sk_c1 = multiply(multiply(inverse(sk_c7), sk_c1), identity)),
% 34.55/34.72 inference(transitivity,[status(thm)],[1076, 1210, 1093, 1208])).
% 34.55/34.72 tff(1238,plain,
% 34.55/34.72 (multiply(sk_c1, sk_c1) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1237])).
% 34.55/34.72 tff(1239,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(sk_c1, sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1238])).
% 34.55/34.72 tff(1240,plain,
% 34.55/34.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.55/34.72 inference(quant_inst,[status(thm)],[])).
% 34.55/34.72 tff(1241,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.55/34.72 inference(unit_resolution,[status(thm)],[1240, 57])).
% 34.55/34.72 tff(1242,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(sk_c1, sk_c1)),
% 34.55/34.72 inference(transitivity,[status(thm)],[1241, 1239])).
% 34.55/34.72 tff(1243,plain,
% 34.55/34.72 (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.72 tff(1244,plain,
% 34.55/34.72 (multiply(sk_c7, sk_c6) = sk_c8),
% 34.55/34.72 inference(transitivity,[status(thm)],[1243, 196, 768, 1167, 87, 1166, 9])).
% 34.55/34.72 tff(1245,plain,
% 34.55/34.72 (multiply(multiply(sk_c7, sk_c6), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1244])).
% 34.55/34.72 tff(1246,plain,
% 34.55/34.72 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c6, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1186])).
% 34.55/34.72 tff(1247,plain,
% 34.55/34.72 (multiply(sk_c7, identity) = identity),
% 34.55/34.72 inference(transitivity,[status(thm)],[1246, 1085, 1245, 1164, 80])).
% 34.55/34.72 tff(1248,plain,
% 34.55/34.72 (multiply(multiply(sk_c7, identity), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1247])).
% 34.55/34.72 tff(1249,plain,
% 34.55/34.72 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, identity), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1248])).
% 34.55/34.72 tff(1250,plain,
% 34.55/34.72 (sk_c8 = multiply(sk_c4, sk_c7)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1160])).
% 34.55/34.72 tff(1251,plain,
% 34.55/34.72 (sk_c6 = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.72 inference(transitivity,[status(thm)],[768, 1167, 87, 1166, 9, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100])).
% 34.55/34.72 tff(1252,plain,
% 34.55/34.72 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1251, 1242])).
% 34.55/34.72 tff(1253,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity))),
% 34.55/34.72 inference(symmetry,[status(thm)],[1252])).
% 34.55/34.72 tff(1254,plain,
% 34.55/34.72 (identity = multiply(sk_c8, sk_c1)),
% 34.55/34.72 inference(transitivity,[status(thm)],[81, 1185])).
% 34.55/34.72 tff(1255,plain,
% 34.55/34.72 (multiply(identity, sk_c2) = multiply(multiply(sk_c8, sk_c1), sk_c2)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1254])).
% 34.55/34.72 tff(1256,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c1), sk_c2) = multiply(identity, sk_c2)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1255])).
% 34.55/34.72 tff(1257,plain,
% 34.55/34.72 (multiply(sk_c8, multiply(sk_c1, sk_c2)) = sk_c2),
% 34.55/34.72 inference(transitivity,[status(thm)],[958, 1256, 955])).
% 34.55/34.72 tff(1258,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3) = multiply(sk_c2, sk_c3)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1257])).
% 34.55/34.72 tff(1259,plain,
% 34.55/34.72 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1258])).
% 34.55/34.72 tff(1260,plain,
% 34.55/34.72 (sk_c8 = sk_c6),
% 34.55/34.72 inference(transitivity,[status(thm)],[94, 1172, 86, 1171, 725])).
% 34.55/34.72 tff(1261,plain,
% 34.55/34.72 (multiply(sk_c1, sk_c8) = multiply(sk_c1, sk_c6)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1260])).
% 34.55/34.72 tff(1262,plain,
% 34.55/34.72 (multiply(sk_c1, sk_c6) = multiply(sk_c1, sk_c8)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1261])).
% 34.55/34.72 tff(1263,plain,
% 34.55/34.72 (multiply(identity, sk_c6) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1254, 1168])).
% 34.55/34.72 tff(1264,plain,
% 34.55/34.72 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c6)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1263])).
% 34.55/34.72 tff(1265,plain,
% 34.55/34.72 (sk_c6 = multiply(identity, sk_c6)),
% 34.55/34.72 inference(transitivity,[status(thm)],[768, 1167, 87, 1264])).
% 34.55/34.72 tff(1266,plain,
% 34.55/34.72 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(identity, sk_c6))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1265])).
% 34.55/34.72 tff(1267,plain,
% 34.55/34.72 (multiply(sk_c1, multiply(identity, sk_c6)) = multiply(sk_c1, sk_c6)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1266])).
% 34.55/34.72 tff(1268,plain,
% 34.55/34.72 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1254])).
% 34.55/34.72 tff(1269,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, identity), sk_c6) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1268])).
% 34.55/34.72 tff(1270,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6) = multiply(multiply(sk_c1, identity), sk_c6)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1269])).
% 34.55/34.72 tff(1271,plain,
% 34.55/34.72 (multiply(sk_c7, multiply(identity, sk_c1)) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[654, 1075])).
% 34.55/34.72 tff(1272,plain,
% 34.55/34.72 (multiply(sk_c7, multiply(sk_c6, sk_c1)) = multiply(sk_c7, identity)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1246])).
% 34.55/34.72 tff(1273,plain,
% 34.55/34.72 (multiply(sk_c8, sk_c1) = multiply(multiply(sk_c7, sk_c6), sk_c1)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1245])).
% 34.55/34.72 tff(1274,plain,
% 34.55/34.72 (identity = multiply(sk_c7, identity)),
% 34.55/34.72 inference(transitivity,[status(thm)],[81, 1185, 1273, 1084, 1272])).
% 34.55/34.72 tff(1275,plain,
% 34.55/34.72 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, identity), sk_c1)),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1274])).
% 34.55/34.72 tff(1276,plain,
% 34.55/34.72 (sk_c6 = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.72 inference(transitivity,[status(thm)],[768, 1167, 87, 1166, 9, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1275, 1080, 1271, 1100])).
% 34.55/34.72 tff(1277,plain,
% 34.55/34.72 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.72 inference(monotonicity,[status(thm)],[1232, 1276])).
% 34.55/34.72 tff(1278,plain,
% 34.55/34.72 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6)),
% 34.55/34.72 inference(symmetry,[status(thm)],[1277])).
% 34.55/34.73 tff(1279,plain,
% 34.55/34.73 (multiply(multiply(sk_c7, identity), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1275])).
% 34.55/34.73 tff(1280,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, sk_c8), sk_c1) = multiply(sk_c7, multiply(identity, sk_c1))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1271])).
% 34.55/34.73 tff(1281,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = sk_c1),
% 34.55/34.73 inference(transitivity,[status(thm)],[1101, 1280, 1114, 1279, 1075])).
% 34.55/34.73 tff(1282,plain,
% 34.55/34.73 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = inverse(sk_c1)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1281])).
% 34.55/34.73 tff(1283,plain,
% 34.55/34.73 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1282, 928, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1275, 1080, 1271, 1100])).
% 34.55/34.73 tff(1284,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1232, 1283])).
% 34.55/34.73 tff(1285,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(inverse(sk_c7), sk_c7)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1284, 1278, 1270, 1047, 1267, 1262, 653, 408, 1179, 942, 1175, 121, 1162])).
% 34.55/34.73 tff(1286,plain,
% 34.55/34.73 ((multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8) <=> (multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1285])).
% 34.55/34.73 tff(1287,plain,
% 34.55/34.73 ((multiply(inverse(sk_c7), sk_c7) = sk_c8) <=> (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1286])).
% 34.55/34.73 tff(1288,plain,
% 34.55/34.73 ((sk_c8 = multiply(inverse(sk_c7), sk_c7)) <=> (multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.55/34.73 inference(commutativity,[status(thm)],[])).
% 34.55/34.73 tff(1289,plain,
% 34.55/34.73 (sk_c7 = multiply(inverse(sk_c7), sk_c7)),
% 34.55/34.73 inference(transitivity,[status(thm)],[408, 1179, 942, 1175, 121, 1162])).
% 34.55/34.73 tff(1290,plain,
% 34.55/34.73 (multiply(sk_c6, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1106])).
% 34.55/34.73 tff(1291,plain,
% 34.55/34.73 (multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))) = identity),
% 34.55/34.73 inference(transitivity,[status(thm)],[1103, 1290, 1212, 1164, 80])).
% 34.55/34.73 tff(1292,plain,
% 34.55/34.73 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1291])).
% 34.55/34.73 tff(1293,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1233])).
% 34.55/34.73 tff(1294,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1223])).
% 34.55/34.73 tff(1295,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c1))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1221])).
% 34.55/34.73 tff(1296,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1295, 1294, 1293])).
% 34.55/34.73 tff(1297,plain,
% 34.55/34.73 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c1))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1296])).
% 34.55/34.73 tff(1298,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1241])).
% 34.55/34.73 tff(1299,plain,
% 34.55/34.73 (multiply(sk_c1, sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1238, 1298])).
% 34.55/34.73 tff(1300,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = sk_c6),
% 34.55/34.73 inference(transitivity,[status(thm)],[1101, 1280, 1114, 1279, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 94, 1172, 86, 1171, 725])).
% 34.55/34.73 tff(1301,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1300, 1299])).
% 34.55/34.73 tff(1302,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1291])).
% 34.55/34.73 tff(1303,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1304,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1303, 57])).
% 34.55/34.73 tff(1305,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c8, sk_c1)),
% 34.55/34.73 inference(transitivity,[status(thm)],[117, 81, 1185])).
% 34.55/34.73 tff(1306,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1305])).
% 34.55/34.73 tff(1307,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1308,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1307, 57])).
% 34.55/34.73 tff(1309,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c8)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1308])).
% 34.55/34.73 tff(1310,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), sk_c6) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[197])).
% 34.55/34.73 tff(1311,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), sk_c6) = sk_c8),
% 34.55/34.73 inference(transitivity,[status(thm)],[1310, 1309, 1306, 1166, 9])).
% 34.55/34.73 tff(1312,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c6), sk_c1) = multiply(sk_c8, sk_c1)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1311])).
% 34.55/34.73 tff(1313,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c6), sk_c1) = multiply(inverse(sk_c7), multiply(sk_c6, sk_c1)))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1314,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c6), sk_c1) = multiply(inverse(sk_c7), multiply(sk_c6, sk_c1))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1313, 57])).
% 34.55/34.73 tff(1315,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), multiply(sk_c6, sk_c1)) = multiply(multiply(inverse(sk_c7), sk_c6), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1314])).
% 34.55/34.73 tff(1316,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), identity) = multiply(inverse(sk_c7), multiply(sk_c6, sk_c1))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1186])).
% 34.55/34.73 tff(1317,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), identity) = identity),
% 34.55/34.73 inference(transitivity,[status(thm)],[1316, 1315, 1312, 1164, 80])).
% 34.55/34.73 tff(1318,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), identity), sk_c1) = multiply(identity, sk_c1)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1317])).
% 34.55/34.73 tff(1319,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), identity), sk_c1) = multiply(inverse(sk_c7), multiply(identity, sk_c1)))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1320,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), identity), sk_c1) = multiply(inverse(sk_c7), multiply(identity, sk_c1))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1319, 57])).
% 34.55/34.73 tff(1321,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), multiply(identity, sk_c1)) = multiply(multiply(inverse(sk_c7), identity), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1320])).
% 34.55/34.73 tff(1322,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), sk_c1) = multiply(inverse(sk_c7), multiply(identity, sk_c1))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1076])).
% 34.55/34.73 tff(1323,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1322, 1321, 1318, 1275, 1080, 1271, 1100])).
% 34.55/34.73 tff(1324,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1322, 1321, 1318, 1275, 1080, 1271, 1100, 1231, 1228, 1225])).
% 34.55/34.73 tff(1325,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1324, 1323])).
% 34.55/34.73 tff(1326,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, sk_c1)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1325, 1304, 1302, 1241, 1239])).
% 34.55/34.73 tff(1327,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1326])).
% 34.55/34.73 tff(1328,plain,
% 34.55/34.73 (sk_c1 = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1076, 1275, 1080, 1271, 1100])).
% 34.55/34.73 tff(1329,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1328])).
% 34.55/34.73 tff(1330,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1331,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1330, 57])).
% 34.55/34.73 tff(1332,plain,
% 34.55/34.73 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(inverse(sk_c7), sk_c1)) = multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1333,plain,
% 34.55/34.73 (multiply(identity, multiply(inverse(sk_c7), sk_c1)) = multiply(inverse(sk_c7), sk_c1)),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1332, 7])).
% 34.55/34.73 tff(1334,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1333])).
% 34.55/34.73 tff(1335,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), sk_c1) = multiply(identity, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1333])).
% 34.55/34.73 tff(1336,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(identity, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1335])).
% 34.55/34.73 tff(1337,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(identity, multiply(inverse(sk_c7), sk_c1))) = multiply(sk_c1, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1336])).
% 34.55/34.73 tff(1338,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(identity, multiply(inverse(sk_c7), sk_c1))))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1339,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, identity), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(identity, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1338, 57])).
% 34.55/34.73 tff(1340,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, identity), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1268])).
% 34.55/34.73 tff(1341,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, identity), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1340])).
% 34.55/34.73 tff(1342,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1341, 1339, 1337])).
% 34.55/34.73 tff(1343,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1342, 1335])).
% 34.55/34.73 tff(1344,plain,
% 34.55/34.73 (multiply(inverse(sk_c7), multiply(identity, sk_c1)) = multiply(inverse(sk_c7), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1322])).
% 34.55/34.73 tff(1345,plain,
% 34.55/34.73 (multiply(identity, sk_c1) = multiply(multiply(inverse(sk_c7), identity), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1318])).
% 34.55/34.73 tff(1346,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(inverse(sk_c7), sk_c1)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1101, 1280, 1114, 1279, 1345, 1320, 1344])).
% 34.55/34.73 tff(1347,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(identity, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, identity), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1339])).
% 34.55/34.73 tff(1348,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1336, 1347, 1340])).
% 34.55/34.73 tff(1349,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1348, 1346])).
% 34.55/34.73 tff(1350,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1351,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1350, 57])).
% 34.55/34.73 tff(1352,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(sk_c1, identity)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1268])).
% 34.55/34.73 tff(1353,plain,
% 34.55/34.73 (sk_c1 = multiply(sk_c1, identity)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1076, 1275, 1080, 1271, 1100, 1352])).
% 34.55/34.73 tff(1354,plain,
% 34.55/34.73 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, inverse(sk_c7)) = inverse(sk_c7))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1355,plain,
% 34.55/34.73 (multiply(identity, inverse(sk_c7)) = inverse(sk_c7)),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1354, 7])).
% 34.55/34.73 tff(1356,plain,
% 34.55/34.73 (inverse(sk_c7) = multiply(identity, inverse(sk_c7))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1355])).
% 34.55/34.73 tff(1357,plain,
% 34.55/34.73 (multiply(sk_c1, inverse(sk_c7)) = multiply(sk_c1, multiply(identity, inverse(sk_c7)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1356])).
% 34.55/34.73 tff(1358,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(identity, inverse(sk_c7))) = multiply(sk_c1, inverse(sk_c7))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1357])).
% 34.55/34.73 tff(1359,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), inverse(sk_c7)) = multiply(sk_c1, multiply(identity, inverse(sk_c7))))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1360,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, identity), inverse(sk_c7)) = multiply(sk_c1, multiply(identity, inverse(sk_c7)))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1359, 57])).
% 34.55/34.73 tff(1361,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, identity), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1268])).
% 34.55/34.73 tff(1362,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)) = multiply(multiply(sk_c1, identity), inverse(sk_c7))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1361])).
% 34.55/34.73 tff(1363,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)) = multiply(sk_c1, inverse(sk_c7))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1362, 1360, 1358])).
% 34.55/34.73 tff(1364,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)), sk_c1) = multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1363, 1353])).
% 34.55/34.73 tff(1365,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)), sk_c1)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1364])).
% 34.55/34.73 tff(1366,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(sk_c7)), sk_c1), identity) = multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity)))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1367,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, inverse(sk_c7)), sk_c1), identity) = multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1366, 57])).
% 34.55/34.73 tff(1368,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, inverse(sk_c7)), sk_c1) = multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1369,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, inverse(sk_c7)), sk_c1) = multiply(sk_c1, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1368, 57])).
% 34.55/34.73 tff(1370,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, inverse(sk_c7)), sk_c1), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1369])).
% 34.55/34.73 tff(1371,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(multiply(sk_c1, inverse(sk_c7)), sk_c1), identity)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1370])).
% 34.55/34.73 tff(1372,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(sk_c1, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1371, 1367, 1365, 1351, 1341, 1339, 1337])).
% 34.55/34.73 tff(1373,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1372])).
% 34.55/34.73 tff(1374,assumption,(~(inverse(sk_c5) = sk_c7)), introduced(assumption)).
% 34.55/34.73 tff(1375,plain,
% 34.55/34.73 (((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 34.55/34.73 inference(rewrite,[status(thm)],[])).
% 34.55/34.73 tff(1376,plain,
% 34.55/34.73 (((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 34.55/34.73 inference(rewrite,[status(thm)],[])).
% 34.55/34.73 tff(1377,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 34.55/34.73 tff(1378,plain,
% 34.55/34.73 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 34.55/34.73 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 34.55/34.73 tff(1379,plain,
% 34.55/34.73 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 34.55/34.73 inference(modus_ponens,[status(thm)],[1378, 1375])).
% 34.55/34.73 tff(1380,plain,
% 34.55/34.73 (multiply(sk_c2, sk_c3) = sk_c8),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1379, 1374])).
% 34.55/34.73 tff(1381,plain,
% 34.55/34.73 (sk_c8 = multiply(sk_c2, sk_c3)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1380])).
% 34.55/34.73 tff(1382,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 1381, 1259])).
% 34.55/34.73 tff(1383,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1)) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1382, 1238])).
% 34.55/34.73 tff(1384,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1383])).
% 34.55/34.73 tff(1385,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1386,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1385, 57])).
% 34.55/34.73 tff(1387,plain,
% 34.55/34.73 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1386])).
% 34.55/34.73 tff(1388,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1232, 1251])).
% 34.55/34.73 tff(1389,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6)),
% 34.55/34.73 inference(symmetry,[status(thm)],[1388])).
% 34.55/34.73 tff(1390,plain,
% 34.55/34.73 (sk_c8 = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100])).
% 34.55/34.73 tff(1391,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1232, 1390])).
% 34.55/34.73 tff(1392,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7),
% 34.55/34.73 inference(transitivity,[status(thm)],[1391, 1389, 1270, 1047, 1267, 1262, 653])).
% 34.55/34.73 tff(1393,plain,
% 34.55/34.73 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), inverse(sk_c7)) = multiply(identity, inverse(sk_c7))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1291])).
% 34.55/34.73 tff(1394,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), inverse(sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7))))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1395,plain,
% 34.55/34.73 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), inverse(sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1394, 57])).
% 34.55/34.73 tff(1396,plain,
% 34.55/34.73 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))), inverse(sk_c7))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1395])).
% 34.55/34.73 tff(1397,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(identity, inverse(sk_c7))) = multiply(multiply(sk_c1, identity), inverse(sk_c7))),
% 34.55/34.73 inference(symmetry,[status(thm)],[1360])).
% 34.55/34.73 tff(1398,plain,
% 34.55/34.73 (multiply(sk_c1, inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1357, 1397, 1361])).
% 34.55/34.73 tff(1399,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = sk_c6),
% 34.55/34.73 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 94, 1172, 86, 1171, 725])).
% 34.55/34.73 tff(1400,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, inverse(sk_c7))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1399, 1398])).
% 34.55/34.73 tff(1401,plain,
% 34.55/34.73 (multiply(identity, multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1333, 1322, 1321, 1318, 1249, 1080, 1078, 1100])).
% 34.55/34.73 tff(1402,plain,
% 34.55/34.73 (multiply(multiply(identity, multiply(inverse(sk_c7), sk_c1)), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1401])).
% 34.55/34.73 tff(1403,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c1), inverse(sk_c7)) = multiply(multiply(identity, multiply(inverse(sk_c7), sk_c1)), inverse(sk_c7))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1335])).
% 34.55/34.73 tff(1404,plain,
% 34.55/34.73 (multiply(multiply(inverse(sk_c7), sk_c1), inverse(sk_c7)) = multiply(sk_c1, inverse(sk_c7))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1403, 1402, 1362, 1360, 1358])).
% 34.55/34.73 tff(1405,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), inverse(sk_c7))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, inverse(sk_c7)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1404])).
% 34.55/34.73 tff(1406,plain,
% 34.55/34.73 (sk_c1 = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.73 inference(transitivity,[status(thm)],[1076, 1249, 1080, 1078, 1100])).
% 34.55/34.73 tff(1407,plain,
% 34.55/34.73 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), inverse(sk_c7))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), inverse(sk_c7)))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1406])).
% 34.55/34.73 tff(1408,plain,
% 34.55/34.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), inverse(sk_c7)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), inverse(sk_c7))))),
% 34.55/34.73 inference(quant_inst,[status(thm)],[])).
% 34.55/34.73 tff(1409,plain,
% 34.55/34.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), inverse(sk_c7)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), inverse(sk_c7)))),
% 34.55/34.73 inference(unit_resolution,[status(thm)],[1408, 57])).
% 34.55/34.73 tff(1410,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), inverse(sk_c7))),
% 34.55/34.73 inference(monotonicity,[status(thm)],[1342])).
% 34.55/34.73 tff(1411,plain,
% 34.55/34.73 (sk_c1 = multiply(sk_c1, identity)),
% 34.55/34.73 inference(transitivity,[status(thm)],[1076, 1249, 1080, 1078, 1100, 1352])).
% 34.55/34.73 tff(1412,plain,
% 34.55/34.73 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)), sk_c1) = multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1363, 1411])).
% 34.55/34.74 tff(1413,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)), sk_c1)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1412])).
% 34.55/34.74 tff(1414,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(transitivity,[status(thm)],[1371, 1367, 1413, 1351])).
% 34.55/34.74 tff(1415,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), inverse(sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), inverse(sk_c7))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1414])).
% 34.55/34.74 tff(1416,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1304])).
% 34.55/34.74 tff(1417,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1302])).
% 34.55/34.74 tff(1418,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = sk_c7),
% 34.55/34.74 inference(transitivity,[status(thm)],[1298, 1417, 1416, 1389, 1270, 1047, 1267, 1262, 653])).
% 34.55/34.74 tff(1419,plain,
% 34.55/34.74 (inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = inverse(sk_c7)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1418])).
% 34.55/34.74 tff(1420,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), inverse(sk_c7))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1298, 1419])).
% 34.55/34.74 tff(1421,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = inverse(sk_c7)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1420, 1415, 1410, 1409, 1407, 1405, 1400, 1396, 1393, 1355])).
% 34.55/34.74 tff(1422,plain,
% 34.55/34.74 ((multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8) <=> (inverse(sk_c7) = sk_c8)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1421])).
% 34.55/34.74 tff(1423,plain,
% 34.55/34.74 ((inverse(sk_c7) = sk_c8) <=> (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1422])).
% 34.55/34.74 tff(1424,plain,
% 34.55/34.74 (multiply(inverse(sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.74 inference(transitivity,[status(thm)],[1322, 1321, 1318, 1249, 1080, 1078, 1100])).
% 34.55/34.74 tff(1425,plain,
% 34.55/34.74 (multiply(inverse(sk_c7), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1322, 1321, 1318, 1249, 1080, 1078, 1100, 1231, 1228, 1225])).
% 34.55/34.74 tff(1426,plain,
% 34.55/34.74 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1425, 1424])).
% 34.55/34.74 tff(1427,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1426])).
% 34.55/34.74 tff(1428,plain,
% 34.55/34.74 (multiply(sk_c1, sk_c1) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(transitivity,[status(thm)],[1238, 1298, 1417, 1416, 1427])).
% 34.55/34.74 tff(1429,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1428])).
% 34.55/34.74 tff(1430,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1429])).
% 34.55/34.74 tff(1431,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = sk_c1),
% 34.55/34.74 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1075])).
% 34.55/34.74 tff(1432,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1431])).
% 34.55/34.74 tff(1433,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1432])).
% 34.55/34.74 tff(1434,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1335])).
% 34.55/34.74 tff(1435,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1434])).
% 34.55/34.74 tff(1436,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1348, 1333])).
% 34.55/34.74 tff(1437,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1436])).
% 34.55/34.74 tff(1438,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1342, 1424])).
% 34.55/34.74 tff(1439,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1438])).
% 34.55/34.74 tff(1440,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity)) = multiply(multiply(multiply(sk_c1, inverse(sk_c7)), sk_c1), identity)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1367])).
% 34.55/34.74 tff(1441,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)), sk_c1)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1351])).
% 34.55/34.74 tff(1442,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1336, 1347, 1340, 1441, 1412, 1440, 1370])).
% 34.55/34.74 tff(1443,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1442])).
% 34.55/34.74 tff(1444,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1443])).
% 34.55/34.74 tff(1445,assumption,(~(multiply(sk_c3, sk_c7) = sk_c8)), introduced(assumption)).
% 34.55/34.74 tff(1446,plain,
% 34.55/34.74 (((inverse(sk_c5) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 34.55/34.74 inference(rewrite,[status(thm)],[])).
% 34.55/34.74 tff(1447,plain,
% 34.55/34.74 (((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 34.55/34.74 inference(rewrite,[status(thm)],[])).
% 34.55/34.74 tff(1448,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_29')).
% 34.55/34.74 tff(1449,plain,
% 34.55/34.74 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 34.55/34.74 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 34.55/34.74 tff(1450,plain,
% 34.55/34.74 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 34.55/34.74 inference(modus_ponens,[status(thm)],[1449, 1446])).
% 34.55/34.74 tff(1451,plain,
% 34.55/34.74 (inverse(sk_c5) = sk_c7),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1450, 1445])).
% 34.55/34.74 tff(1452,plain,
% 34.55/34.74 (sk_c7 = inverse(sk_c5)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1451])).
% 34.55/34.74 tff(1453,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = inverse(sk_c5)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1298, 1417, 1416, 1389, 1270, 1047, 1267, 1262, 653, 1452])).
% 34.55/34.74 tff(1454,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1453])).
% 34.55/34.74 tff(1455,plain,
% 34.55/34.74 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1454])).
% 34.55/34.74 tff(1456,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1417, 1416, 1389, 1270, 1047, 1267, 1262, 653, 408, 1179, 942, 1175, 121, 1162, 117, 47, 1455])).
% 34.55/34.74 tff(1457,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1456])).
% 34.55/34.74 tff(1458,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1457])).
% 34.55/34.74 tff(1459,plain,
% 34.55/34.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c5, multiply(sk_c1, multiply(sk_c8, sk_c1)))))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1460,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c5, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1459, 57])).
% 34.55/34.74 tff(1461,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c5, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c5), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1460])).
% 34.55/34.74 tff(1462,plain,
% 34.55/34.74 (((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 34.55/34.74 inference(rewrite,[status(thm)],[])).
% 34.55/34.74 tff(1463,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_30')).
% 34.55/34.74 tff(1464,plain,
% 34.55/34.74 ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.55/34.74 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 34.55/34.74 tff(1465,plain,
% 34.55/34.74 (multiply(sk_c5, sk_c6) = sk_c7),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1464, 1445])).
% 34.55/34.74 tff(1466,plain,
% 34.55/34.74 (multiply(sk_c5, multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c5, sk_c6)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1399])).
% 34.55/34.74 tff(1467,plain,
% 34.55/34.74 (multiply(sk_c5, multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c1, sk_c1)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1466, 1465, 654, 1261, 1266, 1048, 1269, 1388, 1304, 1302, 1241, 1239])).
% 34.55/34.74 tff(1468,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(sk_c1, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(transitivity,[status(thm)],[1298, 1371, 1367, 1413, 1351, 1341, 1339, 1337])).
% 34.55/34.74 tff(1469,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c5, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, sk_c1))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1468, 1467])).
% 34.55/34.74 tff(1470,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c5, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1469])).
% 34.55/34.74 tff(1471,plain,
% 34.55/34.74 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1472,plain,
% 34.55/34.74 (multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1471, 7])).
% 34.55/34.74 tff(1473,plain,
% 34.55/34.74 (identity = sk_c7),
% 34.55/34.74 inference(transitivity,[status(thm)],[165, 1161, 164, 1174, 943, 1178, 11])).
% 34.55/34.74 tff(1474,plain,
% 34.55/34.74 (multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1473])).
% 34.55/34.74 tff(1475,plain,
% 34.55/34.74 (multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1474])).
% 34.55/34.74 tff(1476,plain,
% 34.55/34.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1477,plain,
% 34.55/34.74 (multiply(multiply(sk_c7, sk_c4), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1476, 57])).
% 34.55/34.74 tff(1478,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(sk_c8, sk_c4)) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1199])).
% 34.55/34.74 tff(1479,plain,
% 34.55/34.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c4) = multiply(sk_c1, multiply(sk_c8, sk_c4)))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1480,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, sk_c8), sk_c4) = multiply(sk_c1, multiply(sk_c8, sk_c4))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1479, 57])).
% 34.55/34.74 tff(1481,plain,
% 34.55/34.74 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c1, sk_c8), sk_c4)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[654])).
% 34.55/34.74 tff(1482,plain,
% 34.55/34.74 (multiply(sk_c7, sk_c4) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.74 inference(transitivity,[status(thm)],[1481, 1480, 1478])).
% 34.55/34.74 tff(1483,plain,
% 34.55/34.74 (multiply(multiply(sk_c7, sk_c4), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1482])).
% 34.55/34.74 tff(1484,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c7, sk_c4), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1483])).
% 34.55/34.74 tff(1485,plain,
% 34.55/34.74 (multiply(sk_c1, sk_c1) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(transitivity,[status(thm)],[1238, 1298, 1371, 1367, 1413, 1351, 1484, 1477, 1475, 1472])).
% 34.55/34.74 tff(1486,plain,
% 34.55/34.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), sk_c6)))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1487,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), sk_c6))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1486, 57])).
% 34.55/34.74 tff(1488,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), sk_c6)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1487])).
% 34.55/34.74 tff(1489,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1177])).
% 34.55/34.74 tff(1490,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), sk_c6))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1489])).
% 34.55/34.74 tff(1491,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1336, 1347, 1340, 1441, 1412, 1440, 1370, 1490, 1488])).
% 34.55/34.74 tff(1492,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, sk_c1)) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1491, 1485])).
% 34.55/34.74 tff(1493,plain,
% 34.55/34.74 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1492])).
% 34.55/34.74 tff(1494,plain,
% 34.55/34.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1495,plain,
% 34.55/34.74 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1494, 57])).
% 34.55/34.74 tff(1496,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1495])).
% 34.55/34.74 tff(1497,plain,
% 34.55/34.74 (sk_c6 = inverse(sk_c4)),
% 34.55/34.74 inference(transitivity,[status(thm)],[768, 1167, 87, 1166, 9, 842])).
% 34.55/34.74 tff(1498,plain,
% 34.55/34.74 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1497])).
% 34.55/34.74 tff(1499,plain,
% 34.55/34.74 (multiply(sk_c6, sk_c4) = identity),
% 34.55/34.74 inference(transitivity,[status(thm)],[1498, 31])).
% 34.55/34.74 tff(1500,plain,
% 34.55/34.74 (multiply(multiply(sk_c6, sk_c4), multiply(inverse(sk_c7), sk_c1)) = multiply(identity, multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1499])).
% 34.55/34.74 tff(1501,plain,
% 34.55/34.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1502,plain,
% 34.55/34.74 (multiply(multiply(sk_c6, sk_c4), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1501, 57])).
% 34.55/34.74 tff(1503,plain,
% 34.55/34.74 (multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c6, sk_c4), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1502])).
% 34.55/34.74 tff(1504,plain,
% 34.55/34.74 (multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = sk_c1),
% 34.55/34.74 inference(transitivity,[status(thm)],[1503, 1500, 1333, 1322, 1321, 1318, 1075])).
% 34.55/34.74 tff(1505,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c1)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1504])).
% 34.55/34.74 tff(1506,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c1) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1505])).
% 34.55/34.74 tff(1507,plain,
% 34.55/34.74 (sk_c1 = sk_c6),
% 34.55/34.74 inference(transitivity,[status(thm)],[1076, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 94, 1172, 86, 1171, 725])).
% 34.55/34.74 tff(1508,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c1) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1507])).
% 34.55/34.74 tff(1509,plain,
% 34.55/34.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c6) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), sk_c1)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1508])).
% 34.55/34.74 tff(1510,plain,
% 34.55/34.74 (sk_c7 = sk_c8),
% 34.55/34.74 inference(transitivity,[status(thm)],[654, 1261, 1266, 1048, 1269, 1388, 1304, 1302, 1490, 1488, 1509, 1506, 1496, 1493, 1470, 1461, 1458, 1444, 1439, 1437, 1435, 1331, 1433, 1430, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.55/34.74 tff(1511,plain,
% 34.55/34.74 ((inverse(sk_c7) = sk_c7) <=> (inverse(sk_c7) = sk_c8)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1510])).
% 34.55/34.74 tff(1512,plain,
% 34.55/34.74 ((inverse(sk_c7) = sk_c7) <=> (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1511, 1423])).
% 34.55/34.74 tff(1513,plain,
% 34.55/34.74 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.55/34.74 inference(symmetry,[status(thm)],[1331])).
% 34.55/34.74 tff(1514,plain,
% 34.55/34.74 (sk_c7 = sk_c1),
% 34.55/34.74 inference(transitivity,[status(thm)],[654, 1261, 1266, 1048, 1269, 1388, 1304, 1302, 1490, 1488, 1509, 1506, 1496, 1493, 1470, 1461, 1458, 1444, 1439, 1437, 1435, 1331, 1433, 1430, 1253, 1236, 1219, 1216, 1075])).
% 34.55/34.74 tff(1515,plain,
% 34.55/34.74 (inverse(sk_c7) = inverse(sk_c1)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1514])).
% 34.55/34.74 tff(1516,plain,
% 34.55/34.74 (inverse(sk_c7) = sk_c7),
% 34.55/34.74 inference(transitivity,[status(thm)],[1515, 928, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1215, 1218, 1235, 1252, 1429, 1432, 1513, 1434, 1436, 1438, 1443, 1457, 1460, 1469, 1492, 1495, 1505, 1508, 1487, 1489, 1417, 1416, 1389, 1270, 1047, 1267, 1262, 653])).
% 34.55/34.74 tff(1517,plain,
% 34.55/34.74 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8),
% 34.55/34.74 inference(modus_ponens,[status(thm)],[1516, 1512])).
% 34.55/34.74 tff(1518,plain,
% 34.55/34.74 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = inverse(sk_c1)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1431])).
% 34.55/34.74 tff(1519,plain,
% 34.55/34.74 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8),
% 34.55/34.74 inference(transitivity,[status(thm)],[1518, 928])).
% 34.55/34.74 tff(1520,plain,
% 34.55/34.74 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1425])).
% 34.55/34.74 tff(1521,plain,
% 34.55/34.74 (multiply(multiply(inverse(sk_c7), sk_c1), identity) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.55/34.74 inference(transitivity,[status(thm)],[1207, 1094, 1209, 1249, 1080, 1078, 1100])).
% 34.55/34.74 tff(1522,plain,
% 34.55/34.74 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1521])).
% 34.55/34.74 tff(1523,plain,
% 34.55/34.74 (multiply(multiply(identity, multiply(inverse(sk_c7), sk_c1)), sk_c1) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1333, 1237])).
% 34.55/34.74 tff(1524,plain,
% 34.55/34.74 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c1) = multiply(multiply(identity, multiply(inverse(sk_c7), sk_c1)), sk_c1)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1335])).
% 34.55/34.74 tff(1525,plain,
% 34.55/34.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c1), sk_c1) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c1)))),
% 34.55/34.74 inference(quant_inst,[status(thm)],[])).
% 34.55/34.74 tff(1526,plain,
% 34.55/34.74 (multiply(multiply(inverse(sk_c7), sk_c1), sk_c1) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c1))),
% 34.55/34.74 inference(unit_resolution,[status(thm)],[1525, 57])).
% 34.55/34.74 tff(1527,plain,
% 34.55/34.74 (multiply(inverse(sk_c7), multiply(sk_c1, sk_c1)) = multiply(multiply(inverse(sk_c7), sk_c1), sk_c1)),
% 34.55/34.74 inference(symmetry,[status(thm)],[1526])).
% 34.55/34.74 tff(1528,plain,
% 34.55/34.74 (sk_c7 = multiply(sk_c1, sk_c1)),
% 34.55/34.74 inference(transitivity,[status(thm)],[654, 1261, 1266, 1048, 1269, 1388, 1304, 1302, 1241, 1239])).
% 34.55/34.74 tff(1529,plain,
% 34.55/34.74 (multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c1))),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1419, 1528])).
% 34.55/34.74 tff(1530,plain,
% 34.55/34.74 (multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 34.55/34.74 inference(transitivity,[status(thm)],[1529, 1527, 1524, 1523, 1522, 1520, 1389, 1270, 1047, 1267, 1262, 653, 408, 1179, 942, 1175, 121, 1162])).
% 34.55/34.74 tff(1531,plain,
% 34.55/34.74 ((multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8) <=> (multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.55/34.74 inference(monotonicity,[status(thm)],[1530])).
% 34.55/34.75 tff(1532,plain,
% 34.55/34.75 ((multiply(inverse(sk_c7), sk_c7) = sk_c8) <=> (multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)),
% 34.55/34.75 inference(symmetry,[status(thm)],[1531])).
% 34.55/34.75 tff(1533,plain,
% 34.55/34.75 (multiply(inverse(sk_c7), sk_c7) = sk_c8),
% 34.55/34.75 inference(transitivity,[status(thm)],[1161, 164, 1174, 943, 1178, 11, 654, 1261, 1266, 1048, 1269, 1388, 1304, 1302, 1490, 1488, 1509, 1506, 1496, 1493, 1470, 1461, 1458, 1444, 1439, 1437, 1435, 1331, 1433, 1430, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.55/34.75 tff(1534,plain,
% 34.55/34.75 (multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8),
% 34.55/34.75 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 34.55/34.75 tff(1535,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1211])).
% 34.55/34.75 tff(1536,plain,
% 34.55/34.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c7)))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1537,plain,
% 34.55/34.75 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, sk_c7))),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1536, 57])).
% 34.55/34.75 tff(1538,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), sk_c7)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1232])).
% 34.55/34.75 tff(1539,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8),
% 34.55/34.75 inference(transitivity,[status(thm)],[1538, 1537, 1535, 1227, 1230, 1101, 1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.55/34.75 tff(1540,plain,
% 34.55/34.75 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.55/34.75 inference(rewrite,[status(thm)],[])).
% 34.55/34.75 tff(1541,plain,
% 34.55/34.75 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.55/34.75 inference(rewrite,[status(thm)],[])).
% 34.55/34.75 tff(1542,plain,
% 34.55/34.75 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1541])).
% 34.55/34.75 tff(1543,plain,
% 34.55/34.75 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.55/34.75 inference(transitivity,[status(thm)],[1542, 1540])).
% 34.55/34.75 tff(1544,plain,
% 34.55/34.75 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1545,plain,
% 34.55/34.75 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))),
% 34.55/34.75 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 34.55/34.75 tff(1546,plain,
% 34.55/34.75 ((~(multiply(inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), inverse(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1545, 725, 196, 1451, 1465, 644, 1539])).
% 34.55/34.75 tff(1547,plain,
% 34.55/34.75 ($false),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1546, 1534, 1519, 1517, 1392])).
% 34.55/34.75 tff(1548,plain,(multiply(sk_c3, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 34.55/34.75 tff(1549,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1214])).
% 34.55/34.75 tff(1550,plain,
% 34.55/34.75 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = sk_c7),
% 34.55/34.75 inference(transitivity,[status(thm)],[1298, 1549, 1416, 1389, 1270, 1047, 1267, 1262, 653])).
% 34.55/34.75 tff(1551,plain,
% 34.55/34.75 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c3, sk_c7)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1550])).
% 34.55/34.75 tff(1552,plain,
% 34.55/34.75 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = sk_c1),
% 34.55/34.75 inference(transitivity,[status(thm)],[1551, 1548, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1075])).
% 34.55/34.75 tff(1553,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1552])).
% 34.55/34.75 tff(1554,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))))),
% 34.55/34.75 inference(symmetry,[status(thm)],[1553])).
% 34.55/34.75 tff(1555,plain,
% 34.55/34.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1) = multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1556,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1) = multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1555, 57])).
% 34.55/34.75 tff(1557,plain,
% 34.55/34.75 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1)),
% 34.55/34.75 inference(symmetry,[status(thm)],[1556])).
% 34.55/34.75 tff(1558,plain,
% 34.55/34.75 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = sk_c1),
% 34.55/34.75 inference(transitivity,[status(thm)],[1557, 1554, 1387, 1384, 1253, 1236, 1219, 1216, 1075])).
% 34.55/34.75 tff(1559,plain,
% 34.55/34.75 (inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = inverse(sk_c1)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1558])).
% 34.55/34.75 tff(1560,plain,
% 34.55/34.75 (inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8),
% 34.55/34.75 inference(transitivity,[status(thm)],[1559, 928])).
% 34.55/34.75 tff(1561,plain,
% 34.55/34.75 ((inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7) <=> (sk_c8 = multiply(inverse(sk_c7), sk_c7))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1560, 1289])).
% 34.55/34.75 tff(1562,plain,
% 34.55/34.75 ((inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7) <=> (multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.55/34.75 inference(transitivity,[status(thm)],[1561, 1288])).
% 34.55/34.75 tff(1563,plain,
% 34.55/34.75 ((~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) <=> (~(multiply(inverse(sk_c7), sk_c7) = sk_c8))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1562])).
% 34.55/34.75 tff(1564,plain,
% 34.55/34.75 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, sk_c1)) = multiply(sk_c2, sk_c1))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1565,plain,
% 34.55/34.75 (multiply(identity, multiply(sk_c2, sk_c1)) = multiply(sk_c2, sk_c1)),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1564, 7])).
% 34.55/34.75 tff(1566,plain,
% 34.55/34.75 (multiply(identity, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c8, sk_c1), multiply(sk_c2, sk_c1))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1254])).
% 34.55/34.75 tff(1567,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, sk_c1), multiply(sk_c2, sk_c1)) = multiply(identity, multiply(sk_c2, sk_c1))),
% 34.55/34.75 inference(symmetry,[status(thm)],[1566])).
% 34.55/34.75 tff(1568,plain,
% 34.55/34.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), multiply(sk_c2, sk_c1)) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c2, sk_c1))))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1569,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, sk_c1), multiply(sk_c2, sk_c1)) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c2, sk_c1)))),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1568, 57])).
% 34.55/34.75 tff(1570,plain,
% 34.55/34.75 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c2, sk_c1))) = multiply(multiply(sk_c8, sk_c1), multiply(sk_c2, sk_c1))),
% 34.55/34.75 inference(symmetry,[status(thm)],[1569])).
% 34.55/34.75 tff(1571,plain,
% 34.55/34.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), sk_c1) = multiply(sk_c1, multiply(sk_c2, sk_c1)))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1572,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, sk_c2), sk_c1) = multiply(sk_c1, multiply(sk_c2, sk_c1))),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1571, 57])).
% 34.55/34.75 tff(1573,plain,
% 34.55/34.75 (multiply(sk_c1, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c1, sk_c2), sk_c1)),
% 34.55/34.75 inference(symmetry,[status(thm)],[1572])).
% 34.55/34.75 tff(1574,plain,
% 34.55/34.75 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c2, sk_c1))) = multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1573])).
% 34.55/34.75 tff(1575,plain,
% 34.55/34.75 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c2, sk_c1)))),
% 34.55/34.75 inference(symmetry,[status(thm)],[1574])).
% 34.55/34.75 tff(1576,plain,
% 34.55/34.75 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(sk_c2, sk_c1)),
% 34.55/34.75 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1215, 1218, 1235, 1252, 1383, 1386, 1553, 1556, 1575, 1570, 1567, 1565])).
% 34.55/34.75 tff(1577,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.55/34.75 inference(transitivity,[status(thm)],[1224, 1227, 1230, 1101])).
% 34.55/34.75 tff(1578,plain,
% 34.55/34.75 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1577, 1576])).
% 34.55/34.75 tff(1579,plain,
% 34.55/34.75 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.55/34.75 inference(symmetry,[status(thm)],[1578])).
% 34.55/34.75 tff(1580,plain,
% 34.55/34.75 (sk_c8 = multiply(sk_c2, sk_c1)),
% 34.55/34.75 inference(transitivity,[status(thm)],[1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1215, 1218, 1235, 1252, 1383, 1386, 1553, 1556, 1575, 1570, 1567, 1565])).
% 34.55/34.75 tff(1581,plain,
% 34.55/34.75 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.55/34.75 inference(transitivity,[status(thm)],[1557, 1554, 1387, 1384, 1253, 1236, 1219, 1216, 1249, 1080, 1078])).
% 34.55/34.75 tff(1582,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1581, 1580])).
% 34.55/34.75 tff(1583,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7),
% 34.55/34.75 inference(transitivity,[status(thm)],[1582, 1579, 1389, 1270, 1047, 1267, 1262, 653])).
% 34.55/34.75 tff(1584,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c6, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.55/34.75 inference(symmetry,[status(thm)],[1549])).
% 34.55/34.75 tff(1585,plain,
% 34.55/34.75 (identity = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.55/34.75 inference(transitivity,[status(thm)],[165, 1161, 164, 1174, 943, 1178, 11, 654, 1261, 1266, 1048, 1269, 1388, 1304, 1584, 1241])).
% 34.55/34.75 tff(1586,plain,
% 34.55/34.75 (multiply(identity, sk_c3) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1585])).
% 34.55/34.75 tff(1587,plain,
% 34.55/34.75 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3) = multiply(identity, sk_c3)),
% 34.55/34.75 inference(symmetry,[status(thm)],[1586])).
% 34.55/34.75 tff(1588,plain,
% 34.55/34.75 (multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(inverse(sk_c7), multiply(sk_c1, sk_c1))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1239])).
% 34.55/34.75 tff(1589,plain,
% 34.55/34.75 (multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.55/34.75 inference(transitivity,[status(thm)],[1588, 1527, 1524, 1523, 1522, 1520, 1304, 1584, 1241])).
% 34.55/34.75 tff(1590,plain,
% 34.55/34.75 (multiply(multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1589])).
% 34.55/34.75 tff(1591,plain,
% 34.55/34.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3) = multiply(inverse(sk_c7), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1592,plain,
% 34.55/34.75 (multiply(multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3) = multiply(inverse(sk_c7), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3))),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1591, 57])).
% 34.55/34.75 tff(1593,plain,
% 34.55/34.75 (multiply(inverse(sk_c7), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)) = multiply(multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3)),
% 34.55/34.75 inference(symmetry,[status(thm)],[1592])).
% 34.55/34.75 tff(1594,plain,
% 34.55/34.75 (sk_c3 = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.55/34.75 inference(transitivity,[status(thm)],[783, 1586])).
% 34.55/34.75 tff(1595,plain,
% 34.55/34.75 (multiply(inverse(sk_c7), sk_c3) = multiply(inverse(sk_c7), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1594])).
% 34.55/34.75 tff(1596,plain,
% 34.55/34.75 (multiply(inverse(sk_c7), sk_c3) = sk_c3),
% 34.55/34.75 inference(transitivity,[status(thm)],[1595, 1593, 1590, 1587, 782])).
% 34.55/34.75 tff(1597,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(inverse(sk_c7), sk_c3)) = multiply(sk_c2, sk_c3)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1257, 1596])).
% 34.55/34.75 tff(1598,plain,
% 34.55/34.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7)), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(inverse(sk_c7), sk_c3)))),
% 34.55/34.75 inference(quant_inst,[status(thm)],[])).
% 34.55/34.75 tff(1599,plain,
% 34.55/34.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7)), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(inverse(sk_c7), sk_c3))),
% 34.55/34.75 inference(unit_resolution,[status(thm)],[1598, 57])).
% 34.55/34.75 tff(1600,plain,
% 34.55/34.75 (multiply(multiply(sk_c8, sk_c4), sk_c2) = multiply(multiply(sk_c8, sk_c1), sk_c2)),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1199])).
% 34.55/34.75 tff(1601,plain,
% 34.55/34.75 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c4, sk_c2)) = multiply(sk_c8, multiply(sk_c4, sk_c2))),
% 34.55/34.75 inference(monotonicity,[status(thm)],[1244])).
% 34.55/34.76 tff(1602,plain,
% 34.55/34.76 (multiply(sk_c6, multiply(sk_c4, sk_c2)) = multiply(sk_c8, multiply(sk_c4, sk_c2))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1168])).
% 34.55/34.76 tff(1603,plain,
% 34.55/34.76 (multiply(sk_c8, multiply(sk_c4, sk_c2)) = multiply(sk_c6, multiply(sk_c4, sk_c2))),
% 34.55/34.76 inference(symmetry,[status(thm)],[1602])).
% 34.55/34.76 tff(1604,plain,
% 34.55/34.76 (multiply(multiply(sk_c8, sk_c1), sk_c2) = multiply(multiply(sk_c8, sk_c4), sk_c2)),
% 34.55/34.76 inference(symmetry,[status(thm)],[1600])).
% 34.55/34.76 tff(1605,plain,
% 34.55/34.76 (sk_c2 = multiply(sk_c6, multiply(sk_c4, sk_c2))),
% 34.55/34.76 inference(transitivity,[status(thm)],[974, 1255, 1604, 1028, 1603])).
% 34.55/34.76 tff(1606,plain,
% 34.55/34.76 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c4, sk_c2)))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1605])).
% 34.55/34.76 tff(1607,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6) = sk_c7),
% 34.55/34.76 inference(transitivity,[status(thm)],[1270, 1047, 1267, 1262, 653])).
% 34.55/34.76 tff(1608,plain,
% 34.55/34.76 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c7, sk_c2)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1607, 1257])).
% 34.55/34.76 tff(1609,plain,
% 34.55/34.76 (multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c8, sk_c2)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1168, 1257])).
% 34.55/34.76 tff(1610,plain,
% 34.55/34.76 (multiply(sk_c8, sk_c2) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.76 inference(symmetry,[status(thm)],[1609])).
% 34.55/34.76 tff(1611,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1268, 1610])).
% 34.55/34.76 tff(1612,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1352])).
% 34.55/34.76 tff(1613,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)) = multiply(sk_c8, multiply(sk_c1, sk_c2))),
% 34.55/34.76 inference(transitivity,[status(thm)],[1612, 1611, 1059, 1608, 1606, 1037, 1601, 1029, 1600, 953])).
% 34.55/34.76 tff(1614,plain,
% 34.55/34.76 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), inverse(sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1613])).
% 34.55/34.76 tff(1615,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1616,plain,
% 34.55/34.76 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), inverse(sk_c7)))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1615, 57])).
% 34.55/34.76 tff(1617,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), inverse(sk_c7))),
% 34.55/34.76 inference(symmetry,[status(thm)],[1616])).
% 34.55/34.76 tff(1618,plain,
% 34.55/34.76 (multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), inverse(sk_c7)))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1251])).
% 34.55/34.76 tff(1619,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), inverse(sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1620,plain,
% 34.55/34.76 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), inverse(sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), inverse(sk_c7)))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1619, 57])).
% 34.55/34.76 tff(1621,plain,
% 34.55/34.76 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1610])).
% 34.55/34.76 tff(1622,plain,
% 34.55/34.76 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 34.55/34.76 inference(symmetry,[status(thm)],[1621])).
% 34.55/34.76 tff(1623,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1624,plain,
% 34.55/34.76 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1623, 57])).
% 34.55/34.76 tff(1625,plain,
% 34.55/34.76 (multiply(sk_c6, sk_c6) = multiply(sk_c8, sk_c8)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1168, 1168])).
% 34.55/34.76 tff(1626,plain,
% 34.55/34.76 (multiply(sk_c8, sk_c8) = multiply(sk_c6, sk_c6)),
% 34.55/34.76 inference(symmetry,[status(thm)],[1625])).
% 34.55/34.76 tff(1627,plain,
% 34.55/34.76 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1626])).
% 34.55/34.76 tff(1628,plain,
% 34.55/34.76 (sk_c2 = multiply(sk_c8, multiply(sk_c1, sk_c2))),
% 34.55/34.76 inference(transitivity,[status(thm)],[974, 1255, 953])).
% 34.55/34.76 tff(1629,plain,
% 34.55/34.76 (multiply(sk_c1, sk_c2) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1628])).
% 34.55/34.76 tff(1630,plain,
% 34.55/34.76 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c1, sk_c2)),
% 34.55/34.76 inference(symmetry,[status(thm)],[1629])).
% 34.55/34.76 tff(1631,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1632,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1631, 57])).
% 34.55/34.76 tff(1633,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)) = multiply(sk_c1, sk_c2)),
% 34.55/34.76 inference(transitivity,[status(thm)],[1632, 1630])).
% 34.55/34.76 tff(1634,plain,
% 34.55/34.76 (multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))) = multiply(sk_c8, multiply(sk_c1, sk_c2))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1168, 1633])).
% 34.55/34.76 tff(1635,plain,
% 34.55/34.76 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1634])).
% 34.55/34.76 tff(1636,plain,
% 34.55/34.76 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))) = multiply(sk_c6, multiply(sk_c8, sk_c2))),
% 34.55/34.76 inference(transitivity,[status(thm)],[1635, 1627, 1624, 1622])).
% 34.55/34.76 tff(1637,plain,
% 34.55/34.76 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), inverse(sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), inverse(sk_c7))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1636])).
% 34.55/34.76 tff(1638,plain,
% 34.55/34.76 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1229])).
% 34.55/34.76 tff(1639,plain,
% 34.55/34.76 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)) = sk_c6),
% 34.55/34.76 inference(transitivity,[status(thm)],[126, 1638, 86, 1171, 725])).
% 34.55/34.76 tff(1640,plain,
% 34.55/34.76 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8))) = multiply(sk_c1, sk_c6)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1639])).
% 34.55/34.76 tff(1641,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c8, sk_c8)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8))))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1642,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c8, sk_c8)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1641, 57])).
% 34.55/34.76 tff(1643,plain,
% 34.55/34.76 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)) = sk_c8),
% 34.55/34.76 inference(transitivity,[status(thm)],[126, 1638, 1166, 9])).
% 34.55/34.76 tff(1644,plain,
% 34.55/34.76 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)), sk_c6) = multiply(sk_c8, sk_c8)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1643, 1168])).
% 34.55/34.76 tff(1645,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)), sk_c6) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(sk_c8, sk_c8), sk_c6)))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1646,plain,
% 34.55/34.76 (multiply(multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)), sk_c6) = multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(sk_c8, sk_c8), sk_c6))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1645, 57])).
% 34.55/34.76 tff(1647,plain,
% 34.55/34.76 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(sk_c8, sk_c8), sk_c6)) = multiply(multiply(multiply(inverse(sk_c7), sk_c1), multiply(sk_c8, sk_c8)), sk_c6)),
% 34.55/34.76 inference(symmetry,[status(thm)],[1646])).
% 34.55/34.76 tff(1648,plain,
% 34.55/34.76 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(sk_c8, sk_c8), sk_c6)) = multiply(sk_c8, sk_c8)),
% 34.55/34.76 inference(transitivity,[status(thm)],[1647, 1644])).
% 34.55/34.76 tff(1649,plain,
% 34.55/34.76 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(sk_c8, sk_c8), sk_c6))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c8, sk_c8))),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1648])).
% 34.55/34.76 tff(1650,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(sk_c8, sk_c8), sk_c6))))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1651,plain,
% 34.55/34.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(multiply(sk_c8, sk_c8), sk_c6)))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1650, 57])).
% 34.55/34.76 tff(1652,plain,
% 34.55/34.76 (multiply(identity, multiply(inverse(sk_c7), sk_c6)) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1254, 1311])).
% 34.55/34.76 tff(1653,plain,
% 34.55/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, inverse(sk_c7)), sk_c6) = multiply(identity, multiply(inverse(sk_c7), sk_c6)))),
% 34.55/34.76 inference(quant_inst,[status(thm)],[])).
% 34.55/34.76 tff(1654,plain,
% 34.55/34.76 (multiply(multiply(identity, inverse(sk_c7)), sk_c6) = multiply(identity, multiply(inverse(sk_c7), sk_c6))),
% 34.55/34.76 inference(unit_resolution,[status(thm)],[1653, 57])).
% 34.55/34.76 tff(1655,plain,
% 34.55/34.76 (multiply(multiply(identity, inverse(sk_c7)), sk_c6) = sk_c6),
% 34.55/34.76 inference(transitivity,[status(thm)],[1654, 1652, 86, 1171, 725])).
% 34.55/34.76 tff(1656,plain,
% 34.55/34.76 (multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)) = multiply(multiply(sk_c8, sk_c8), sk_c6)),
% 34.55/34.76 inference(monotonicity,[status(thm)],[1655])).
% 34.55/34.76 tff(1657,plain,
% 34.55/34.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), sk_c6))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1656])).
% 34.61/34.76 tff(1658,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6))) = identity),
% 34.61/34.76 inference(transitivity,[status(thm)],[1657, 1651, 1649, 1642, 1640, 1262, 653, 408, 1179, 942, 1175, 121, 1162, 117])).
% 34.61/34.76 tff(1659,plain,
% 34.61/34.76 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6))), inverse(sk_c7)) = multiply(identity, inverse(sk_c7))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1658])).
% 34.61/34.76 tff(1660,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6))), inverse(sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7))))),
% 34.61/34.76 inference(quant_inst,[status(thm)],[])).
% 34.61/34.76 tff(1661,plain,
% 34.61/34.76 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6))), inverse(sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))),
% 34.61/34.76 inference(unit_resolution,[status(thm)],[1660, 57])).
% 34.61/34.76 tff(1662,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7))) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6))), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1661])).
% 34.61/34.76 tff(1663,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7))) = inverse(sk_c7)),
% 34.61/34.76 inference(transitivity,[status(thm)],[1662, 1659, 1355])).
% 34.61/34.76 tff(1664,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), inverse(sk_c7))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1663])).
% 34.61/34.76 tff(1665,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7))),
% 34.61/34.76 inference(transitivity,[status(thm)],[1664, 1637, 1620, 1618, 1617, 1614])).
% 34.61/34.76 tff(1666,plain,
% 34.61/34.76 (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))), sk_c3) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7)), sk_c3)),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1665])).
% 34.61/34.76 tff(1667,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), inverse(sk_c7)) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7))))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1664])).
% 34.61/34.76 tff(1668,plain,
% 34.61/34.76 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), inverse(sk_c7)) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1637])).
% 34.61/34.76 tff(1669,plain,
% 34.61/34.76 (multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1620])).
% 34.61/34.76 tff(1670,plain,
% 34.61/34.76 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), inverse(sk_c7)))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1618])).
% 34.61/34.76 tff(1671,plain,
% 34.61/34.76 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1614])).
% 34.61/34.76 tff(1672,plain,
% 34.61/34.76 (multiply(multiply(multiply(identity, inverse(sk_c7)), sk_c6), inverse(sk_c7)) = multiply(sk_c6, inverse(sk_c7))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1655])).
% 34.61/34.76 tff(1673,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(identity, inverse(sk_c7)), sk_c6), inverse(sk_c7)) = multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(quant_inst,[status(thm)],[])).
% 34.61/34.76 tff(1674,plain,
% 34.61/34.76 (multiply(multiply(multiply(identity, inverse(sk_c7)), sk_c6), inverse(sk_c7)) = multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))),
% 34.61/34.76 inference(unit_resolution,[status(thm)],[1673, 57])).
% 34.61/34.76 tff(1675,plain,
% 34.61/34.76 (multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))) = multiply(multiply(multiply(identity, inverse(sk_c7)), sk_c6), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1674])).
% 34.61/34.76 tff(1676,plain,
% 34.61/34.76 (multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))) = multiply(sk_c6, inverse(sk_c7))),
% 34.61/34.76 inference(transitivity,[status(thm)],[1675, 1672])).
% 34.61/34.76 tff(1677,plain,
% 34.61/34.76 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c6, inverse(sk_c7)))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1298, 1676])).
% 34.61/34.76 tff(1678,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c6, inverse(sk_c7))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1677])).
% 34.61/34.76 tff(1679,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6), inverse(sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(quant_inst,[status(thm)],[])).
% 34.61/34.76 tff(1680,plain,
% 34.61/34.76 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6), inverse(sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c6, inverse(sk_c7)))),
% 34.61/34.76 inference(unit_resolution,[status(thm)],[1679, 57])).
% 34.61/34.76 tff(1681,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, sk_c6)))),
% 34.61/34.76 inference(quant_inst,[status(thm)],[])).
% 34.61/34.76 tff(1682,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, sk_c6))),
% 34.61/34.76 inference(unit_resolution,[status(thm)],[1681, 57])).
% 34.61/34.76 tff(1683,plain,
% 34.61/34.76 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, sk_c6)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6)),
% 34.61/34.76 inference(symmetry,[status(thm)],[1682])).
% 34.61/34.76 tff(1684,plain,
% 34.61/34.76 (multiply(identity, sk_c6) = sk_c8),
% 34.61/34.76 inference(transitivity,[status(thm)],[1263, 1166, 9])).
% 34.61/34.76 tff(1685,plain,
% 34.61/34.76 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8)),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1684])).
% 34.61/34.76 tff(1686,plain,
% 34.61/34.76 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c8) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, sk_c6))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1685])).
% 34.61/34.76 tff(1687,plain,
% 34.61/34.76 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6)),
% 34.61/34.76 inference(transitivity,[status(thm)],[1231, 1228, 1686, 1683])).
% 34.61/34.76 tff(1688,plain,
% 34.61/34.76 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6), inverse(sk_c7))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1687])).
% 34.61/34.76 tff(1689,plain,
% 34.61/34.76 (multiply(sk_c6, inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1251])).
% 34.61/34.76 tff(1690,plain,
% 34.61/34.76 (multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(transitivity,[status(thm)],[1675, 1672, 1689, 1688, 1680, 1678])).
% 34.61/34.76 tff(1691,plain,
% 34.61/34.76 (multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1690])).
% 34.61/34.76 tff(1692,plain,
% 34.61/34.76 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))) = multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1691])).
% 34.61/34.76 tff(1693,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))))),
% 34.61/34.76 inference(quant_inst,[status(thm)],[])).
% 34.61/34.76 tff(1694,plain,
% 34.61/34.76 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))))),
% 34.61/34.76 inference(unit_resolution,[status(thm)],[1693, 57])).
% 34.61/34.76 tff(1695,plain,
% 34.61/34.76 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.76 inference(transitivity,[status(thm)],[1551, 1548, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100])).
% 34.61/34.76 tff(1696,plain,
% 34.61/34.76 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, inverse(sk_c7)))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1695, 1676])).
% 34.61/34.76 tff(1697,plain,
% 34.61/34.76 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, inverse(sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1696])).
% 34.61/34.76 tff(1698,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(quant_inst,[status(thm)],[])).
% 34.61/34.76 tff(1699,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, inverse(sk_c7)))),
% 34.61/34.76 inference(unit_resolution,[status(thm)],[1698, 57])).
% 34.61/34.76 tff(1700,plain,
% 34.61/34.76 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), inverse(sk_c7)) = multiply(sk_c7, inverse(sk_c7))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1607])).
% 34.61/34.76 tff(1701,plain,
% 34.61/34.76 (multiply(sk_c7, inverse(sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1700])).
% 34.61/34.76 tff(1702,plain,
% 34.61/34.76 (multiply(sk_c7, inverse(sk_c7)) = multiply(sk_c7, multiply(identity, inverse(sk_c7)))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1356])).
% 34.61/34.76 tff(1703,plain,
% 34.61/34.76 (multiply(sk_c7, multiply(identity, inverse(sk_c7))) = multiply(sk_c7, inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1702])).
% 34.61/34.76 tff(1704,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), inverse(sk_c7)) = multiply(sk_c7, multiply(identity, inverse(sk_c7))))),
% 34.61/34.76 inference(quant_inst,[status(thm)],[])).
% 34.61/34.76 tff(1705,plain,
% 34.61/34.76 (multiply(multiply(sk_c7, identity), inverse(sk_c7)) = multiply(sk_c7, multiply(identity, inverse(sk_c7)))),
% 34.61/34.76 inference(unit_resolution,[status(thm)],[1704, 57])).
% 34.61/34.76 tff(1706,plain,
% 34.61/34.76 (multiply(multiply(sk_c7, identity), inverse(sk_c7)) = multiply(identity, inverse(sk_c7))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1247])).
% 34.61/34.76 tff(1707,plain,
% 34.61/34.76 (multiply(identity, inverse(sk_c7)) = multiply(multiply(sk_c7, identity), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1706])).
% 34.61/34.76 tff(1708,plain,
% 34.61/34.76 (inverse(sk_c7) = multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.76 inference(transitivity,[status(thm)],[1356, 1707, 1705, 1703, 1701, 1699, 1697, 1694, 1692])).
% 34.61/34.76 tff(1709,plain,
% 34.61/34.76 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))))),
% 34.61/34.76 inference(monotonicity,[status(thm)],[1708])).
% 34.61/34.76 tff(1710,plain,
% 34.61/34.76 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7))),
% 34.61/34.76 inference(symmetry,[status(thm)],[1709])).
% 34.61/34.76 tff(1711,plain,
% 34.61/34.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1712,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1711, 57])).
% 34.61/34.77 tff(1713,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1258])).
% 34.61/34.77 tff(1714,plain,
% 34.61/34.77 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1713])).
% 34.61/34.77 tff(1715,plain,
% 34.61/34.77 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7))))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1714, 1712, 1710, 1671, 1616, 1670, 1669, 1668, 1667])).
% 34.61/34.77 tff(1716,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))), sk_c3) = multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))), sk_c3)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1715])).
% 34.61/34.77 tff(1717,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))), sk_c3) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1718,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))), sk_c3) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1717, 57])).
% 34.61/34.77 tff(1719,plain,
% 34.61/34.77 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))), sk_c3)),
% 34.61/34.77 inference(symmetry,[status(thm)],[1718])).
% 34.61/34.77 tff(1720,plain,
% 34.61/34.77 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1594])).
% 34.61/34.77 tff(1721,plain,
% 34.61/34.77 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)),
% 34.61/34.77 inference(symmetry,[status(thm)],[1720])).
% 34.61/34.77 tff(1722,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1723,plain,
% 34.61/34.77 (multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1722, 57])).
% 34.61/34.77 tff(1724,plain,
% 34.61/34.77 (multiply(sk_c6, identity) = multiply(sk_c8, sk_c7)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1168, 1473])).
% 34.61/34.77 tff(1725,plain,
% 34.61/34.77 (multiply(sk_c6, multiply(inverse(sk_c7), identity)) = multiply(sk_c6, identity)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1317])).
% 34.61/34.77 tff(1726,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, inverse(sk_c7)), identity) = multiply(sk_c6, multiply(inverse(sk_c7), identity)))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1727,plain,
% 34.61/34.77 (multiply(multiply(sk_c6, inverse(sk_c7)), identity) = multiply(sk_c6, multiply(inverse(sk_c7), identity))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1726, 57])).
% 34.61/34.77 tff(1728,plain,
% 34.61/34.77 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity) = multiply(multiply(sk_c6, inverse(sk_c7)), identity)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1676])).
% 34.61/34.77 tff(1729,plain,
% 34.61/34.77 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity) = sk_c6),
% 34.61/34.77 inference(transitivity,[status(thm)],[1728, 1727, 1725, 1724, 725])).
% 34.61/34.77 tff(1730,plain,
% 34.61/34.77 (multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1729, 1298])).
% 34.61/34.77 tff(1731,plain,
% 34.61/34.77 (multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c7, sk_c4), multiply(inverse(sk_c7), sk_c1))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1477])).
% 34.61/34.77 tff(1732,plain,
% 34.61/34.77 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)) = multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1472])).
% 34.61/34.77 tff(1733,plain,
% 34.61/34.77 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1732, 1474, 1731, 1483, 1441, 1412, 1440, 1370, 1241])).
% 34.61/34.77 tff(1734,plain,
% 34.61/34.77 (multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1733])).
% 34.61/34.77 tff(1735,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1736,plain,
% 34.61/34.77 (multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1735, 57])).
% 34.61/34.77 tff(1737,plain,
% 34.61/34.77 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))) = multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), identity), multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1736])).
% 34.61/34.77 tff(1738,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1)))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1298, 1371, 1367, 1413, 1351, 1484, 1477, 1475])).
% 34.61/34.77 tff(1739,plain,
% 34.61/34.77 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(identity, multiply(sk_c4, multiply(inverse(sk_c7), sk_c1))))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1738])).
% 34.61/34.77 tff(1740,plain,
% 34.61/34.77 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1739, 1737, 1734, 1730, 1236, 1219, 1216, 1249, 1080, 1078, 1100])).
% 34.61/34.77 tff(1741,plain,
% 34.61/34.77 (multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1740])).
% 34.61/34.77 tff(1742,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3) = multiply(multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3)),
% 34.61/34.77 inference(symmetry,[status(thm)],[1741])).
% 34.61/34.77 tff(1743,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)),
% 34.61/34.77 inference(transitivity,[status(thm)],[1742, 1723, 1721])).
% 34.61/34.77 tff(1744,plain,
% 34.61/34.77 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1743])).
% 34.61/34.77 tff(1745,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(sk_c2, sk_c3)),
% 34.61/34.77 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 1381])).
% 34.61/34.77 tff(1746,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1745])).
% 34.61/34.77 tff(1747,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1748,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1747, 57])).
% 34.61/34.77 tff(1749,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1232])).
% 34.61/34.77 tff(1750,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1749])).
% 34.61/34.77 tff(1751,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1298, 1549, 1416, 1750])).
% 34.61/34.77 tff(1752,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c3)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1751])).
% 34.61/34.77 tff(1753,plain,
% 34.61/34.77 (((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c7))),
% 34.61/34.77 inference(rewrite,[status(thm)],[])).
% 34.61/34.77 tff(1754,axiom,((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_24')).
% 34.61/34.77 tff(1755,plain,
% 34.61/34.77 ((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c7)),
% 34.61/34.77 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 34.61/34.77 tff(1756,plain,
% 34.61/34.77 (inverse(sk_c2) = sk_c3),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1755, 1374])).
% 34.61/34.77 tff(1757,plain,
% 34.61/34.77 (inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))) = inverse(sk_c2)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1257])).
% 34.61/34.77 tff(1758,plain,
% 34.61/34.77 (inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))) = sk_c1),
% 34.61/34.77 inference(transitivity,[status(thm)],[1757, 1756, 783, 1586, 1752, 1748, 1746, 1744, 1719, 1716, 1666, 1599, 1597, 1380, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1075])).
% 34.61/34.77 tff(1759,plain,
% 34.61/34.77 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1758])).
% 34.61/34.77 tff(1760,plain,
% 34.61/34.77 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8),
% 34.61/34.77 inference(transitivity,[status(thm)],[1759, 1554, 1387, 1384, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.77 tff(1761,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(sk_c1, multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1762,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(sk_c1, multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1761, 57])).
% 34.61/34.77 tff(1763,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1762])).
% 34.61/34.77 tff(1764,plain,
% 34.61/34.77 (multiply(sk_c2, sk_c1) = multiply(identity, multiply(sk_c2, sk_c1))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1565])).
% 34.61/34.77 tff(1765,plain,
% 34.61/34.77 (multiply(sk_c2, sk_c1) = multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1764, 1566, 1569, 1574])).
% 34.61/34.77 tff(1766,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(sk_c2, sk_c1)) = multiply(sk_c1, multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1765])).
% 34.61/34.77 tff(1767,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, sk_c2), sk_c1) = multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1572, 1766, 1763])).
% 34.61/34.77 tff(1768,plain,
% 34.61/34.77 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1390, 1767])).
% 34.61/34.77 tff(1769,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1768])).
% 34.61/34.77 tff(1770,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, multiply(sk_c2, sk_c1))) = multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1573])).
% 34.61/34.77 tff(1771,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, multiply(sk_c2, sk_c1))))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1772,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, multiply(sk_c2, sk_c1)))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1771, 57])).
% 34.61/34.77 tff(1773,plain,
% 34.61/34.77 (sk_c7 = multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.77 inference(transitivity,[status(thm)],[654, 1261, 1266, 1048, 1269, 1388, 1578, 1772, 1770])).
% 34.61/34.77 tff(1774,plain,
% 34.61/34.77 (inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1757, 1756, 783, 1586, 1752, 1748, 1746, 1744, 1719, 1716, 1666, 1599, 1597, 1380, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100])).
% 34.61/34.77 tff(1775,plain,
% 34.61/34.77 (multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1774, 1773])).
% 34.61/34.77 tff(1776,plain,
% 34.61/34.77 (multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8),
% 34.61/34.77 inference(transitivity,[status(thm)],[1775, 1769, 1557, 1554, 1387, 1384, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.77 tff(1777,plain,
% 34.61/34.77 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1557, 1554, 1387, 1384, 1253, 1236, 1219, 1216, 1249, 1080, 1078, 1100])).
% 34.61/34.77 tff(1778,plain,
% 34.61/34.77 (multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1777, 1773])).
% 34.61/34.77 tff(1779,plain,
% 34.61/34.77 (multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8),
% 34.61/34.77 inference(transitivity,[status(thm)],[1778, 1769, 1557, 1554, 1387, 1384, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.77 tff(1780,plain,
% 34.61/34.77 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.61/34.77 inference(transitivity,[status(thm)],[1380, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100, 1231, 1228, 1225])).
% 34.61/34.77 tff(1781,plain,
% 34.61/34.77 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1780])).
% 34.61/34.77 tff(1782,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1258])).
% 34.61/34.77 tff(1783,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1)))))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1784,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1783, 57])).
% 34.61/34.77 tff(1785,plain,
% 34.61/34.77 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1784])).
% 34.61/34.77 tff(1786,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1298])).
% 34.61/34.77 tff(1787,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1786])).
% 34.61/34.77 tff(1788,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity) = multiply(sk_c1, multiply(inverse(sk_c7), sk_c1))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1371, 1367, 1413, 1351, 1341, 1339, 1337])).
% 34.61/34.77 tff(1789,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1788])).
% 34.61/34.77 tff(1790,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1789])).
% 34.61/34.77 tff(1791,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(inverse(sk_c7), sk_c1)),
% 34.61/34.77 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1345, 1320, 1344])).
% 34.61/34.77 tff(1792,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1348, 1791])).
% 34.61/34.77 tff(1793,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1792])).
% 34.61/34.77 tff(1794,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1343])).
% 34.61/34.77 tff(1795,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(identity, multiply(inverse(sk_c7), sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1334])).
% 34.61/34.77 tff(1796,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1406])).
% 34.61/34.77 tff(1797,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1796])).
% 34.61/34.77 tff(1798,plain,
% 34.61/34.77 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, sk_c1)),
% 34.61/34.77 inference(transitivity,[status(thm)],[1426, 1304, 1584, 1241, 1239])).
% 34.61/34.77 tff(1799,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1798])).
% 34.61/34.77 tff(1800,plain,
% 34.61/34.77 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1799])).
% 34.61/34.77 tff(1801,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1215, 1218, 1235, 1252, 1800, 1797, 1513, 1795, 1794, 1793, 1790, 1787])).
% 34.61/34.77 tff(1802,plain,
% 34.61/34.77 (multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1801])).
% 34.61/34.77 tff(1803,plain,
% 34.61/34.77 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1802])).
% 34.61/34.77 tff(1804,plain,
% 34.61/34.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1)))))),
% 34.61/34.77 inference(quant_inst,[status(thm)],[])).
% 34.61/34.77 tff(1805,plain,
% 34.61/34.77 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.61/34.77 inference(unit_resolution,[status(thm)],[1804, 57])).
% 34.61/34.77 tff(1806,plain,
% 34.61/34.77 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.61/34.77 inference(transitivity,[status(thm)],[1551, 1548, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100, 1231, 1228, 1225])).
% 34.61/34.77 tff(1807,plain,
% 34.61/34.77 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(monotonicity,[status(thm)],[1806])).
% 34.61/34.77 tff(1808,plain,
% 34.61/34.77 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(symmetry,[status(thm)],[1807])).
% 34.61/34.77 tff(1809,plain,
% 34.61/34.77 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.77 inference(transitivity,[status(thm)],[1298, 1549, 1416, 1808, 1805, 1803])).
% 34.61/34.77 tff(1810,plain,
% 34.61/34.77 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1809])).
% 34.61/34.78 tff(1811,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1613])).
% 34.61/34.78 tff(1812,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1813,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1812, 57])).
% 34.61/34.78 tff(1814,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1813])).
% 34.61/34.78 tff(1815,plain,
% 34.61/34.78 (multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1251])).
% 34.61/34.78 tff(1816,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1817,plain,
% 34.61/34.78 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1816, 57])).
% 34.61/34.78 tff(1818,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1636])).
% 34.61/34.78 tff(1819,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, inverse(sk_c7)), multiply(sk_c1, identity))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1358, 1352])).
% 34.61/34.78 tff(1820,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.61/34.78 inference(transitivity,[status(thm)],[1819, 1440, 1370, 1241])).
% 34.61/34.78 tff(1821,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1820])).
% 34.61/34.78 tff(1822,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(identity, inverse(sk_c7)))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), multiply(sk_c1, multiply(sk_c8, sk_c1)))))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1823,plain,
% 34.61/34.78 (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(identity, inverse(sk_c7)))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1822, 57])).
% 34.61/34.78 tff(1824,plain,
% 34.61/34.78 (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(identity, inverse(sk_c7)))), sk_c6) = multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(identity, inverse(sk_c7)))), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1251])).
% 34.61/34.78 tff(1825,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(identity, inverse(sk_c7)))), sk_c6) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6)))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1826,plain,
% 34.61/34.78 (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(identity, inverse(sk_c7)))), sk_c6) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1825, 57])).
% 34.61/34.78 tff(1827,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6)) = multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(sk_c1, multiply(identity, inverse(sk_c7)))), sk_c6)),
% 34.61/34.78 inference(symmetry,[status(thm)],[1826])).
% 34.61/34.78 tff(1828,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6) = multiply(sk_c1, multiply(multiply(identity, inverse(sk_c7)), sk_c6)))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1829,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6) = multiply(sk_c1, multiply(multiply(identity, inverse(sk_c7)), sk_c6))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1828, 57])).
% 34.61/34.78 tff(1830,plain,
% 34.61/34.78 (multiply(sk_c1, multiply(multiply(identity, inverse(sk_c7)), sk_c6)) = multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6)),
% 34.61/34.78 inference(symmetry,[status(thm)],[1829])).
% 34.61/34.78 tff(1831,plain,
% 34.61/34.78 (multiply(sk_c1, multiply(multiply(identity, inverse(sk_c7)), sk_c6)) = multiply(sk_c1, sk_c6)),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1655])).
% 34.61/34.78 tff(1832,plain,
% 34.61/34.78 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(multiply(identity, inverse(sk_c7)), sk_c6))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1831])).
% 34.61/34.78 tff(1833,plain,
% 34.61/34.78 (identity = multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6)),
% 34.61/34.78 inference(transitivity,[status(thm)],[165, 1161, 164, 1174, 943, 1178, 11, 654, 1261, 1832, 1830])).
% 34.61/34.78 tff(1834,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), identity) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(sk_c1, multiply(identity, inverse(sk_c7))), sk_c6))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1833])).
% 34.61/34.78 tff(1835,plain,
% 34.61/34.78 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1635])).
% 34.61/34.78 tff(1836,plain,
% 34.61/34.78 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1627])).
% 34.61/34.78 tff(1837,plain,
% 34.61/34.78 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1624])).
% 34.61/34.78 tff(1838,plain,
% 34.61/34.78 (multiply(sk_c6, multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))))),
% 34.61/34.78 inference(transitivity,[status(thm)],[1621, 1837, 1836, 1835])).
% 34.61/34.78 tff(1839,plain,
% 34.61/34.78 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), identity) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), identity)),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1838])).
% 34.61/34.78 tff(1840,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), identity) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), identity)))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1841,plain,
% 34.61/34.78 (multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), identity) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), identity))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1840, 57])).
% 34.61/34.78 tff(1842,plain,
% 34.61/34.78 (multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), identity)) = multiply(multiply(sk_c6, multiply(sk_c8, sk_c2)), identity)),
% 34.61/34.78 inference(symmetry,[status(thm)],[1841])).
% 34.61/34.78 tff(1843,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), identity)) = multiply(sk_c6, multiply(multiply(sk_c8, sk_c2), identity))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1399])).
% 34.61/34.78 tff(1844,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), identity) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), identity)))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1845,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), identity) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c8, sk_c2), identity))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1844, 57])).
% 34.61/34.78 tff(1846,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1612])).
% 34.61/34.78 tff(1847,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(sk_c1, identity), multiply(sk_c8, sk_c2))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1611])).
% 34.61/34.78 tff(1848,plain,
% 34.61/34.78 (multiply(sk_c7, sk_c2) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1608])).
% 34.61/34.78 tff(1849,plain,
% 34.61/34.78 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c4, sk_c2))) = multiply(sk_c7, sk_c2)),
% 34.61/34.78 inference(symmetry,[status(thm)],[1606])).
% 34.61/34.78 tff(1850,plain,
% 34.61/34.78 (multiply(sk_c8, multiply(sk_c4, sk_c2)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c4, sk_c2))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1601])).
% 34.61/34.78 tff(1851,plain,
% 34.61/34.78 (multiply(sk_c8, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2))),
% 34.61/34.78 inference(transitivity,[status(thm)],[958, 1604, 1028, 1850, 1036, 1849, 1848, 1058, 1847, 1846])).
% 34.61/34.78 tff(1852,plain,
% 34.61/34.78 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, sk_c2)), identity)),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1851])).
% 34.61/34.78 tff(1853,plain,
% 34.61/34.78 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6) = identity),
% 34.61/34.78 inference(transitivity,[status(thm)],[1270, 1047, 1267, 1262, 653, 408, 1179, 942, 1175, 121, 1162, 117])).
% 34.61/34.78 tff(1854,plain,
% 34.61/34.78 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6)) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), identity)),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1853])).
% 34.61/34.78 tff(1855,plain,
% 34.61/34.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c6) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6)))),
% 34.61/34.78 inference(quant_inst,[status(thm)],[])).
% 34.61/34.78 tff(1856,plain,
% 34.61/34.78 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c6) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6))),
% 34.61/34.78 inference(unit_resolution,[status(thm)],[1855, 57])).
% 34.61/34.78 tff(1857,plain,
% 34.61/34.78 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1431])).
% 34.61/34.78 tff(1858,plain,
% 34.61/34.78 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.78 inference(symmetry,[status(thm)],[1857])).
% 34.61/34.78 tff(1859,plain,
% 34.61/34.78 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.78 inference(transitivity,[status(thm)],[1557, 1858])).
% 34.61/34.78 tff(1860,plain,
% 34.61/34.78 (multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c6)),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1859])).
% 34.61/34.78 tff(1861,plain,
% 34.61/34.78 (multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7),
% 34.61/34.78 inference(transitivity,[status(thm)],[1860, 1856, 1854, 1852, 1845, 1843, 1842, 1839, 1834, 1827, 1824, 1823, 1821, 1818, 1817, 1815, 1814, 1811, 1810, 1785, 1782, 1781, 1389, 1270, 1047, 1267, 1262, 653])).
% 34.61/34.78 tff(1862,plain,
% 34.61/34.78 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)))),
% 34.61/34.78 inference(rewrite,[status(thm)],[])).
% 34.61/34.78 tff(1863,plain,
% 34.61/34.78 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)))),
% 34.61/34.78 inference(rewrite,[status(thm)],[])).
% 34.61/34.78 tff(1864,plain,
% 34.61/34.78 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7))))),
% 34.61/34.78 inference(monotonicity,[status(thm)],[1863])).
% 34.61/34.78 tff(1865,plain,
% 34.61/34.78 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)))),
% 34.61/34.78 inference(transitivity,[status(thm)],[1864, 1862])).
% 34.61/34.78 tff(1866,plain,
% 34.61/34.78 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1867,plain,
% 34.61/34.79 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7))),
% 34.61/34.79 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 34.61/34.79 tff(1868,plain,
% 34.61/34.79 ((~(multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)), sk_c8) = sk_c7))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1867, 725, 196, 644, 1861])).
% 34.61/34.79 tff(1869,plain,
% 34.61/34.79 (~(inverse(multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = sk_c7)),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1868, 1560, 1779, 1776, 1760, 1583])).
% 34.61/34.79 tff(1870,plain,
% 34.61/34.79 (~(multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.61/34.79 inference(modus_ponens,[status(thm)],[1869, 1563])).
% 34.61/34.79 tff(1871,plain,
% 34.61/34.79 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(sk_c2, sk_c1)),
% 34.61/34.79 inference(transitivity,[status(thm)],[1575, 1570, 1567, 1565])).
% 34.61/34.79 tff(1872,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1101, 1871])).
% 34.61/34.79 tff(1873,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1872])).
% 34.61/34.79 tff(1874,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, multiply(sk_c2, sk_c1))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1772])).
% 34.61/34.79 tff(1875,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, multiply(sk_c2, sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1770])).
% 34.61/34.79 tff(1876,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1875, 1874, 1873])).
% 34.61/34.79 tff(1877,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1876])).
% 34.61/34.79 tff(1878,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1877])).
% 34.61/34.79 tff(1879,plain,
% 34.61/34.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1880,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1879, 57])).
% 34.61/34.79 tff(1881,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1749, 1304, 1584, 1241])).
% 34.61/34.79 tff(1882,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1881])).
% 34.61/34.79 tff(1883,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1882])).
% 34.61/34.79 tff(1884,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1751])).
% 34.61/34.79 tff(1885,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1884])).
% 34.61/34.79 tff(1886,plain,
% 34.61/34.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c1, sk_c2)))))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1887,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1886, 57])).
% 34.61/34.79 tff(1888,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1887])).
% 34.61/34.79 tff(1889,plain,
% 34.61/34.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1890,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1889, 57])).
% 34.61/34.79 tff(1891,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2)),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1101, 1257])).
% 34.61/34.79 tff(1892,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1891, 1890])).
% 34.61/34.79 tff(1893,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1892])).
% 34.61/34.79 tff(1894,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1893])).
% 34.61/34.79 tff(1895,plain,
% 34.61/34.79 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1632])).
% 34.61/34.79 tff(1896,plain,
% 34.61/34.79 (multiply(sk_c1, sk_c2) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1629, 1895])).
% 34.61/34.79 tff(1897,plain,
% 34.61/34.79 (multiply(sk_c8, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1390, 1896])).
% 34.61/34.79 tff(1898,plain,
% 34.61/34.79 (multiply(sk_c8, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1897, 1894, 1888, 1885])).
% 34.61/34.79 tff(1899,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1898])).
% 34.61/34.79 tff(1900,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(sk_c1, sk_c2)))) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1899])).
% 34.61/34.79 tff(1901,plain,
% 34.61/34.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(sk_c1, sk_c2)))))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1902,plain,
% 34.61/34.79 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(sk_c1, sk_c2))))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1901, 57])).
% 34.61/34.79 tff(1903,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c1, sk_c8), sk_c1)),
% 34.61/34.79 inference(transitivity,[status(thm)],[1551, 1548, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078])).
% 34.61/34.79 tff(1904,plain,
% 34.61/34.79 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2)),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1903, 1257])).
% 34.61/34.79 tff(1905,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1904])).
% 34.61/34.79 tff(1906,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1890])).
% 34.61/34.79 tff(1907,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)) = multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1906, 1905, 1902, 1900])).
% 34.61/34.79 tff(1908,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3) = multiply(multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c3)),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1907])).
% 34.61/34.79 tff(1909,plain,
% 34.61/34.79 (multiply(multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c3) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1908])).
% 34.61/34.79 tff(1910,plain,
% 34.61/34.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c3) = multiply(sk_c3, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3)))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1911,plain,
% 34.61/34.79 (multiply(multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c3) = multiply(sk_c3, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1910, 57])).
% 34.61/34.79 tff(1912,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c8, multiply(sk_c1, sk_c2))), sk_c3)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1911])).
% 34.61/34.79 tff(1913,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3)) = multiply(sk_c3, multiply(sk_c2, sk_c3))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1258])).
% 34.61/34.79 tff(1914,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(sk_c2, sk_c3)) = multiply(sk_c3, multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1913])).
% 34.61/34.79 tff(1915,plain,
% 34.61/34.79 (multiply(sk_c2, sk_c3) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1380, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100])).
% 34.61/34.79 tff(1916,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(sk_c2, sk_c3)) = multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1915])).
% 34.61/34.79 tff(1917,plain,
% 34.61/34.79 (multiply(sk_c3, multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c3, multiply(sk_c2, sk_c3))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1916])).
% 34.61/34.79 tff(1918,plain,
% 34.61/34.79 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3)),
% 34.61/34.79 inference(transitivity,[status(thm)],[1298, 1549, 1416, 1808, 1805, 1803, 1917, 1914, 1912, 1909])).
% 34.61/34.79 tff(1919,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1918, 1777])).
% 34.61/34.79 tff(1920,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1919])).
% 34.61/34.79 tff(1921,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1801])).
% 34.61/34.79 tff(1922,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1)))) = multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1921])).
% 34.61/34.79 tff(1923,plain,
% 34.61/34.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1)))))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1924,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c1, multiply(sk_c8, sk_c1))))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1923, 57])).
% 34.61/34.79 tff(1925,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1431])).
% 34.61/34.79 tff(1926,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1925])).
% 34.61/34.79 tff(1927,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1552])).
% 34.61/34.79 tff(1928,plain,
% 34.61/34.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))))),
% 34.61/34.79 inference(quant_inst,[status(thm)],[])).
% 34.61/34.79 tff(1929,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))))),
% 34.61/34.79 inference(unit_resolution,[status(thm)],[1928, 57])).
% 34.61/34.79 tff(1930,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1929, 1927, 1926])).
% 34.61/34.79 tff(1931,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.79 inference(monotonicity,[status(thm)],[1930])).
% 34.61/34.79 tff(1932,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1931])).
% 34.61/34.79 tff(1933,plain,
% 34.61/34.79 (inverse(sk_c2) = inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1757])).
% 34.61/34.79 tff(1934,plain,
% 34.61/34.79 (sk_c3 = inverse(sk_c2)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1756])).
% 34.61/34.79 tff(1935,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c3) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1752])).
% 34.61/34.79 tff(1936,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c3)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1748])).
% 34.61/34.79 tff(1937,plain,
% 34.61/34.79 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1746])).
% 34.61/34.79 tff(1938,plain,
% 34.61/34.79 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1744])).
% 34.61/34.79 tff(1939,plain,
% 34.61/34.79 (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))), sk_c3) = multiply(multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))), sk_c3)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1716])).
% 34.61/34.79 tff(1940,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7)), sk_c3) = multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))), sk_c3)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1666])).
% 34.61/34.79 tff(1941,plain,
% 34.61/34.79 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(inverse(sk_c7), sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7)), sk_c3)),
% 34.61/34.79 inference(symmetry,[status(thm)],[1599])).
% 34.61/34.79 tff(1942,plain,
% 34.61/34.79 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(inverse(sk_c7), sk_c3))),
% 34.61/34.79 inference(symmetry,[status(thm)],[1597])).
% 34.61/34.79 tff(1943,plain,
% 34.61/34.79 (multiply(multiply(sk_c1, sk_c8), sk_c1) = inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.79 inference(transitivity,[status(thm)],[1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 1381, 1942, 1941, 1940, 1939, 1718, 1938, 1937, 1936, 1935, 1587, 782, 1934, 1933])).
% 34.61/34.79 tff(1944,plain,
% 34.61/34.79 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2) = multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1943, 1628])).
% 34.61/34.80 tff(1945,plain,
% 34.61/34.80 (multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2)),
% 34.61/34.80 inference(symmetry,[status(thm)],[1944])).
% 34.61/34.80 tff(1946,plain,
% 34.61/34.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.80 inference(quant_inst,[status(thm)],[])).
% 34.61/34.80 tff(1947,plain,
% 34.61/34.80 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.80 inference(unit_resolution,[status(thm)],[1946, 57])).
% 34.61/34.80 tff(1948,plain,
% 34.61/34.80 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))),
% 34.61/34.80 inference(transitivity,[status(thm)],[1925, 1947, 1875, 1874, 1579, 1389, 1270, 1047, 1267, 1262, 653, 408, 1179, 942, 1175, 121, 1162, 117, 1000, 1945, 1890])).
% 34.61/34.80 tff(1949,plain,
% 34.61/34.80 (multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1948, 1431])).
% 34.61/34.80 tff(1950,plain,
% 34.61/34.80 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.80 inference(symmetry,[status(thm)],[1949])).
% 34.61/34.80 tff(1951,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.80 inference(symmetry,[status(thm)],[1947])).
% 34.61/34.80 tff(1952,plain,
% 34.61/34.80 (multiply(inverse(sk_c7), sk_c7) = sk_c8),
% 34.61/34.80 inference(transitivity,[status(thm)],[1161, 164, 1174, 943, 1178, 11, 654, 1261, 1266, 1048, 1269, 1388, 1578, 1772, 1770, 1951, 1950, 1932, 1924, 1922, 1920, 1883, 1880, 1878, 1769, 1557, 1554, 1387, 1384, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.80 tff(1953,plain,
% 34.61/34.80 ($false),
% 34.61/34.80 inference(unit_resolution,[status(thm)],[1952, 1870])).
% 34.61/34.80 tff(1954,plain,(inverse(sk_c5) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 34.61/34.80 tff(1955,plain,
% 34.61/34.80 (sk_c7 = inverse(sk_c5)),
% 34.61/34.80 inference(symmetry,[status(thm)],[1954])).
% 34.61/34.80 tff(1956,plain,
% 34.61/34.80 (identity = inverse(sk_c5)),
% 34.61/34.80 inference(transitivity,[status(thm)],[165, 1161, 164, 1174, 943, 1178, 11, 1955])).
% 34.61/34.80 tff(1957,plain,
% 34.61/34.80 (multiply(identity, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1956])).
% 34.61/34.80 tff(1958,plain,
% 34.61/34.80 (sk_c5 = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.61/34.80 inference(transitivity,[status(thm)],[369, 1957, 46, 165, 1161, 164, 1174, 943, 1178, 11, 654, 1261, 1266, 1048, 1269, 1277, 1304, 1302])).
% 34.61/34.80 tff(1959,plain,
% 34.61/34.80 (multiply(sk_c5, sk_c6) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1958, 1276])).
% 34.61/34.80 tff(1960,plain,
% 34.61/34.80 (multiply(sk_c5, sk_c6) = sk_c8),
% 34.61/34.80 inference(transitivity,[status(thm)],[1959, 1373, 1349, 1343, 1334, 1331, 1329, 1327, 1301, 1297, 1219, 1292, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.80 tff(1961,plain,
% 34.61/34.80 ((multiply(sk_c5, sk_c6) = sk_c7) <=> (sk_c8 = multiply(inverse(sk_c7), sk_c7))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1960, 1289])).
% 34.61/34.80 tff(1962,plain,
% 34.61/34.80 ((multiply(sk_c5, sk_c6) = sk_c7) <=> (multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.61/34.80 inference(transitivity,[status(thm)],[1961, 1288])).
% 34.61/34.80 tff(1963,plain,
% 34.61/34.80 ((multiply(sk_c5, sk_c6) = sk_c7) <=> (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)),
% 34.61/34.80 inference(transitivity,[status(thm)],[1962, 1287])).
% 34.61/34.80 tff(1964,assumption,(multiply(sk_c5, sk_c6) = sk_c7), introduced(assumption)).
% 34.61/34.80 tff(1965,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8),
% 34.61/34.80 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 34.61/34.80 tff(1966,plain,
% 34.61/34.80 (sk_c8 = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.80 inference(transitivity,[status(thm)],[1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1275, 1080, 1271, 1100])).
% 34.61/34.80 tff(1967,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1232, 1966])).
% 34.61/34.80 tff(1968,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7),
% 34.61/34.80 inference(transitivity,[status(thm)],[1967, 1278, 1270, 1047, 1267, 1262, 653])).
% 34.61/34.80 tff(1969,plain,
% 34.61/34.80 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8),
% 34.61/34.80 inference(transitivity,[status(thm)],[1282, 928])).
% 34.61/34.80 tff(1970,plain,
% 34.61/34.80 (sk_c7 = multiply(sk_c1, sk_c1)),
% 34.61/34.80 inference(transitivity,[status(thm)],[654, 1261, 1266, 1048, 1269, 1277, 1304, 1302, 1241, 1239])).
% 34.61/34.80 tff(1971,plain,
% 34.61/34.80 (multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1283, 1970])).
% 34.61/34.80 tff(1972,plain,
% 34.61/34.80 (multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8),
% 34.61/34.80 inference(transitivity,[status(thm)],[1971, 1301, 1297, 1219, 1292, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.80 tff(1973,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8),
% 34.61/34.80 inference(transitivity,[status(thm)],[1538, 1537, 1535, 1227, 1230, 1101, 1280, 1114, 1279, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.80 tff(1974,plain,
% 34.61/34.80 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.61/34.80 inference(rewrite,[status(thm)],[])).
% 34.61/34.80 tff(1975,plain,
% 34.61/34.80 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.61/34.80 inference(rewrite,[status(thm)],[])).
% 34.61/34.80 tff(1976,plain,
% 34.61/34.80 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1975])).
% 34.61/34.80 tff(1977,plain,
% 34.61/34.80 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.61/34.80 inference(transitivity,[status(thm)],[1976, 1974])).
% 34.61/34.80 tff(1978,plain,
% 34.61/34.80 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8)))),
% 34.61/34.80 inference(quant_inst,[status(thm)],[])).
% 34.61/34.80 tff(1979,plain,
% 34.61/34.80 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(X2, sk_c6) = sk_c7)) | (~(inverse(X2) = sk_c7)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))),
% 34.61/34.80 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 34.61/34.80 tff(1980,plain,
% 34.61/34.80 ((~(multiply(sk_c5, sk_c6) = sk_c7)) | (~(multiply(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c1))) = sk_c8))),
% 34.61/34.80 inference(unit_resolution,[status(thm)],[1979, 725, 196, 1954, 644, 1973])).
% 34.61/34.80 tff(1981,plain,
% 34.61/34.80 (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(multiply(sk_c1, multiply(sk_c8, sk_c1)))) = sk_c8)),
% 34.61/34.80 inference(unit_resolution,[status(thm)],[1980, 1964, 1972, 1969, 1968])).
% 34.61/34.80 tff(1982,plain,
% 34.61/34.80 ($false),
% 34.61/34.80 inference(unit_resolution,[status(thm)],[1981, 1965])).
% 34.61/34.80 tff(1983,plain,(~(multiply(sk_c5, sk_c6) = sk_c7)), inference(lemma,lemma(discharge,[]))).
% 34.61/34.80 tff(1984,plain,
% 34.61/34.80 (((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 34.61/34.80 inference(rewrite,[status(thm)],[])).
% 34.61/34.80 tff(1985,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 34.61/34.80 tff(1986,plain,
% 34.61/34.80 ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.61/34.80 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 34.61/34.80 tff(1987,plain,
% 34.61/34.80 (multiply(sk_c2, sk_c3) = sk_c8),
% 34.61/34.80 inference(unit_resolution,[status(thm)],[1986, 1983])).
% 34.61/34.80 tff(1988,plain,
% 34.61/34.80 (sk_c8 = multiply(sk_c2, sk_c3)),
% 34.61/34.80 inference(symmetry,[status(thm)],[1987])).
% 34.61/34.80 tff(1989,plain,
% 34.61/34.80 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3)),
% 34.61/34.80 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 1988, 1259])).
% 34.61/34.80 tff(1990,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1)) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1989, 1238])).
% 34.61/34.80 tff(1991,plain,
% 34.61/34.80 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.61/34.80 inference(symmetry,[status(thm)],[1990])).
% 34.61/34.80 tff(1992,plain,
% 34.61/34.80 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c3, sk_c7)),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1418])).
% 34.61/34.80 tff(1993,plain,
% 34.61/34.80 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = sk_c1),
% 34.61/34.80 inference(transitivity,[status(thm)],[1992, 1548, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1075])).
% 34.61/34.80 tff(1994,plain,
% 34.61/34.80 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1993])).
% 34.61/34.80 tff(1995,plain,
% 34.61/34.80 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))))),
% 34.61/34.80 inference(symmetry,[status(thm)],[1994])).
% 34.61/34.80 tff(1996,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, multiply(sk_c2, sk_c1)))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1572])).
% 34.61/34.80 tff(1997,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.80 inference(transitivity,[status(thm)],[1996, 1874, 1873])).
% 34.61/34.80 tff(1998,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[1997])).
% 34.61/34.80 tff(1999,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.80 inference(symmetry,[status(thm)],[1998])).
% 34.61/34.80 tff(2000,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.61/34.80 inference(transitivity,[status(thm)],[1749, 1304, 1302, 1241])).
% 34.61/34.80 tff(2001,plain,
% 34.61/34.80 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[2000])).
% 34.61/34.80 tff(2002,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.80 inference(symmetry,[status(thm)],[2001])).
% 34.61/34.80 tff(2003,plain,
% 34.61/34.80 (multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)) = sk_c1),
% 34.61/34.80 inference(transitivity,[status(thm)],[1557, 1995, 1387, 1991, 1253, 1236, 1219, 1216, 1075])).
% 34.61/34.80 tff(2004,plain,
% 34.61/34.80 (((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7))),
% 34.61/34.80 inference(rewrite,[status(thm)],[])).
% 34.61/34.80 tff(2005,axiom,((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_25')).
% 34.61/34.80 tff(2006,plain,
% 34.61/34.80 ((inverse(sk_c2) = sk_c3) | (multiply(sk_c5, sk_c6) = sk_c7)),
% 34.61/34.80 inference(modus_ponens,[status(thm)],[2005, 2004])).
% 34.61/34.80 tff(2007,plain,
% 34.61/34.80 (inverse(sk_c2) = sk_c3),
% 34.61/34.80 inference(unit_resolution,[status(thm)],[2006, 1983])).
% 34.61/34.80 tff(2008,plain,
% 34.61/34.80 (sk_c3 = inverse(sk_c2)),
% 34.61/34.80 inference(symmetry,[status(thm)],[2007])).
% 34.61/34.80 tff(2009,plain,
% 34.61/34.80 (identity = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.61/34.80 inference(transitivity,[status(thm)],[165, 1161, 164, 1174, 943, 1178, 11, 654, 1261, 1266, 1048, 1269, 1388, 1304, 1302, 1241])).
% 34.61/34.80 tff(2010,plain,
% 34.61/34.80 (multiply(identity, sk_c3) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.61/34.80 inference(monotonicity,[status(thm)],[2009])).
% 34.61/34.80 tff(2011,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3) = multiply(identity, sk_c3)),
% 34.61/34.80 inference(symmetry,[status(thm)],[2010])).
% 34.61/34.80 tff(2012,plain,
% 34.61/34.80 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.80 inference(transitivity,[status(thm)],[1298, 1417, 1416, 1750])).
% 34.61/34.80 tff(2013,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c3)),
% 34.61/34.80 inference(monotonicity,[status(thm)],[2012])).
% 34.61/34.80 tff(2014,plain,
% 34.61/34.80 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c1))), sk_c3) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.61/34.80 inference(symmetry,[status(thm)],[2013])).
% 34.61/34.80 tff(2015,plain,
% 34.61/34.80 (multiply(sk_c1, multiply(sk_c8, sk_c1)) = multiply(sk_c2, sk_c3)),
% 34.61/34.80 inference(transitivity,[status(thm)],[1101, 1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 1988])).
% 34.61/34.80 tff(2016,plain,
% 34.61/34.80 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3))),
% 34.61/34.80 inference(monotonicity,[status(thm)],[2015])).
% 34.61/34.80 tff(2017,plain,
% 34.61/34.80 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3))),
% 34.61/34.80 inference(symmetry,[status(thm)],[2016])).
% 34.61/34.80 tff(2018,plain,
% 34.61/34.80 (sk_c3 = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.61/34.80 inference(transitivity,[status(thm)],[783, 2010])).
% 34.61/34.80 tff(2019,plain,
% 34.61/34.80 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2018])).
% 34.61/34.81 tff(2020,plain,
% 34.61/34.81 (multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)),
% 34.61/34.81 inference(symmetry,[status(thm)],[2019])).
% 34.61/34.81 tff(2021,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3) = multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)),
% 34.61/34.81 inference(transitivity,[status(thm)],[1742, 1723, 2020])).
% 34.61/34.81 tff(2022,plain,
% 34.61/34.81 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2021])).
% 34.61/34.81 tff(2023,plain,
% 34.61/34.81 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))), sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c3))),
% 34.61/34.81 inference(symmetry,[status(thm)],[2022])).
% 34.61/34.81 tff(2024,plain,
% 34.61/34.81 (multiply(sk_c7, multiply(identity, inverse(sk_c7))) = multiply(multiply(sk_c7, identity), inverse(sk_c7))),
% 34.61/34.81 inference(symmetry,[status(thm)],[1705])).
% 34.61/34.81 tff(2025,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, inverse(sk_c7))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), sk_c6), inverse(sk_c7))),
% 34.61/34.81 inference(symmetry,[status(thm)],[1699])).
% 34.61/34.81 tff(2026,plain,
% 34.61/34.81 (multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.81 inference(transitivity,[status(thm)],[1992, 1548, 1250, 1181, 1187, 1154, 1190, 1149, 1145, 1196, 1142, 1205, 1207, 1094, 1209, 1249, 1080, 1078, 1100])).
% 34.61/34.81 tff(2027,plain,
% 34.61/34.81 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c6, inverse(sk_c7)))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2026, 1676])).
% 34.61/34.81 tff(2028,plain,
% 34.61/34.81 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.81 inference(symmetry,[status(thm)],[1694])).
% 34.61/34.81 tff(2029,plain,
% 34.61/34.81 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.81 inference(transitivity,[status(thm)],[1682, 1685, 1227, 1230])).
% 34.61/34.81 tff(2030,plain,
% 34.61/34.81 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6), inverse(sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2029])).
% 34.61/34.81 tff(2031,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), inverse(sk_c7)) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), sk_c6), inverse(sk_c7))),
% 34.61/34.81 inference(symmetry,[status(thm)],[2030])).
% 34.61/34.81 tff(2032,plain,
% 34.61/34.81 (multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.81 inference(transitivity,[status(thm)],[1675, 1672, 1689, 2031, 1680, 1678])).
% 34.61/34.81 tff(2033,plain,
% 34.61/34.81 (multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2032])).
% 34.61/34.81 tff(2034,plain,
% 34.61/34.81 (multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = inverse(sk_c7)),
% 34.61/34.81 inference(transitivity,[status(thm)],[2033, 2028, 2027, 2025, 1700, 1702, 2024, 1706, 1355])).
% 34.61/34.81 tff(2035,plain,
% 34.61/34.81 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(sk_c3, multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), inverse(sk_c7))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2034])).
% 34.61/34.81 tff(2036,plain,
% 34.61/34.81 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7))))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[1259])).
% 34.61/34.81 tff(2037,plain,
% 34.61/34.81 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))) = multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7))))),
% 34.61/34.81 inference(transitivity,[status(thm)],[2036, 1712, 2035, 1671, 1616, 1670, 1669, 1668, 1667])).
% 34.61/34.81 tff(2038,plain,
% 34.61/34.81 (multiply(multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))), sk_c3) = multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))), sk_c3)),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2037])).
% 34.61/34.81 tff(2039,plain,
% 34.61/34.81 (multiply(multiply(multiply(multiply(sk_c8, sk_c8), multiply(sk_c6, multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)))), multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), multiply(inverse(sk_c7), sk_c1)), multiply(multiply(multiply(sk_c8, sk_c8), multiply(multiply(identity, inverse(sk_c7)), sk_c6)), inverse(sk_c7)))), sk_c3) = multiply(multiply(multiply(sk_c2, sk_c3), multiply(multiply(identity, inverse(sk_c7)), multiply(sk_c6, inverse(sk_c7)))), sk_c3)),
% 34.61/34.81 inference(symmetry,[status(thm)],[2038])).
% 34.61/34.81 tff(2040,plain,
% 34.61/34.81 (multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))) = multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))),
% 34.61/34.81 inference(transitivity,[status(thm)],[1588, 1527, 1524, 1523, 1522, 1520, 1304, 1302, 1241])).
% 34.61/34.81 tff(2041,plain,
% 34.61/34.81 (multiply(multiply(inverse(sk_c7), multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity))), sk_c3) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3)),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2040])).
% 34.61/34.81 tff(2042,plain,
% 34.61/34.81 (multiply(inverse(sk_c7), sk_c3) = multiply(inverse(sk_c7), multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), sk_c3))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2018])).
% 34.61/34.81 tff(2043,plain,
% 34.61/34.81 (multiply(inverse(sk_c7), sk_c3) = sk_c3),
% 34.61/34.81 inference(transitivity,[status(thm)],[2042, 1593, 2041, 2011, 782])).
% 34.61/34.81 tff(2044,plain,
% 34.61/34.81 (multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(inverse(sk_c7), sk_c3)) = multiply(sk_c2, sk_c3)),
% 34.61/34.81 inference(monotonicity,[status(thm)],[1257, 2043])).
% 34.61/34.81 tff(2045,plain,
% 34.61/34.81 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c8, multiply(sk_c1, sk_c2)), multiply(inverse(sk_c7), sk_c3))),
% 34.61/34.81 inference(symmetry,[status(thm)],[2044])).
% 34.61/34.81 tff(2046,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, sk_c8), sk_c1) = inverse(multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.81 inference(transitivity,[status(thm)],[1077, 1114, 1248, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160, 1988, 2045, 1941, 1940, 2039, 1718, 2023, 2017, 1936, 2014, 2011, 782, 2008, 1933])).
% 34.61/34.81 tff(2047,plain,
% 34.61/34.81 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2) = multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2)))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2046, 1628])).
% 34.61/34.81 tff(2048,plain,
% 34.61/34.81 (multiply(inverse(multiply(sk_c8, multiply(sk_c1, sk_c2))), multiply(sk_c8, multiply(sk_c1, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), sk_c2)),
% 34.61/34.81 inference(symmetry,[status(thm)],[2047])).
% 34.61/34.81 tff(2049,plain,
% 34.61/34.81 (multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2))),
% 34.61/34.81 inference(transitivity,[status(thm)],[1298, 1417, 1416, 1389, 1270, 1047, 1267, 1262, 653, 408, 1179, 942, 1175, 121, 1162, 117, 1000, 2048, 1890])).
% 34.61/34.81 tff(2050,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1))) = multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1)),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2049, 2003])).
% 34.61/34.81 tff(2051,plain,
% 34.61/34.81 (multiply(multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, sk_c2)), sk_c1) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c7), sk_c1), identity)), multiply(sk_c8, multiply(multiply(sk_c1, sk_c2), sk_c1)))),
% 34.61/34.81 inference(symmetry,[status(thm)],[2050])).
% 34.61/34.81 tff(2052,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c1, multiply(sk_c2, sk_c1))) = multiply(multiply(sk_c1, sk_c8), multiply(multiply(sk_c1, sk_c2), sk_c1))),
% 34.61/34.81 inference(symmetry,[status(thm)],[1996])).
% 34.61/34.81 tff(2053,plain,
% 34.61/34.81 (multiply(sk_c2, sk_c1) = multiply(sk_c1, multiply(sk_c8, sk_c1))),
% 34.61/34.81 inference(transitivity,[status(thm)],[1764, 1566, 1569, 1574, 1557, 1995, 1387, 1991, 1253, 1236, 1219, 1216, 1249, 1080, 1078, 1100])).
% 34.61/34.81 tff(2054,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, sk_c8), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6)),
% 34.61/34.81 inference(transitivity,[status(thm)],[1100, 1231, 1228, 1225])).
% 34.61/34.81 tff(2055,plain,
% 34.61/34.81 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2054, 2053])).
% 34.61/34.81 tff(2056,plain,
% 34.61/34.81 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), sk_c6), multiply(sk_c1, multiply(sk_c8, sk_c1))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c1), multiply(sk_c2, sk_c1))),
% 34.61/34.81 inference(symmetry,[status(thm)],[2055])).
% 34.61/34.81 tff(2057,plain,
% 34.61/34.81 (multiply(inverse(sk_c7), sk_c7) = sk_c8),
% 34.61/34.81 inference(transitivity,[status(thm)],[1161, 164, 1174, 943, 1178, 11, 654, 1261, 1266, 1048, 1269, 1388, 2056, 1772, 2052, 1951, 2051, 2002, 1880, 1999, 1769, 1557, 1995, 1387, 1991, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.81 tff(2058,plain,
% 34.61/34.81 (multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1)) = multiply(sk_c1, sk_c1)),
% 34.61/34.81 inference(transitivity,[status(thm)],[1426, 1304, 1302, 1241, 1239])).
% 34.61/34.81 tff(2059,plain,
% 34.61/34.81 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(multiply(inverse(sk_c7), sk_c1), multiply(inverse(sk_c7), sk_c1))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c1)), multiply(sk_c1, sk_c1))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2058])).
% 34.61/34.81 tff(2060,plain,
% 34.61/34.81 (sk_c5 = multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity)),
% 34.61/34.81 inference(transitivity,[status(thm)],[369, 1957, 46, 165, 1161, 164, 1174, 943, 1178, 11, 654, 1261, 1266, 1048, 1269, 1388, 1304, 1302])).
% 34.61/34.81 tff(2061,plain,
% 34.61/34.81 (multiply(sk_c5, sk_c6) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c7), sk_c1)), identity), multiply(sk_c1, multiply(sk_c8, sk_c1)))),
% 34.61/34.81 inference(monotonicity,[status(thm)],[2060, 1251])).
% 34.61/34.81 tff(2062,plain,
% 34.61/34.81 (multiply(sk_c5, sk_c6) = sk_c8),
% 34.61/34.83 inference(transitivity,[status(thm)],[2061, 1789, 1792, 1343, 1334, 1331, 1796, 2059, 1253, 1236, 1219, 1216, 1210, 1093, 1208, 1206, 1198, 1197, 1193, 1192, 1191, 1153, 1188, 1182, 1160])).
% 34.61/34.83 tff(2063,plain,
% 34.61/34.83 ((multiply(sk_c5, sk_c6) = sk_c7) <=> (sk_c8 = multiply(inverse(sk_c7), sk_c7))),
% 34.61/34.83 inference(monotonicity,[status(thm)],[2062, 1289])).
% 34.61/34.83 tff(2064,plain,
% 34.61/34.83 ((multiply(sk_c5, sk_c6) = sk_c7) <=> (multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.61/34.83 inference(transitivity,[status(thm)],[2063, 1288])).
% 34.61/34.83 tff(2065,plain,
% 34.61/34.83 ((~(multiply(sk_c5, sk_c6) = sk_c7)) <=> (~(multiply(inverse(sk_c7), sk_c7) = sk_c8))),
% 34.61/34.83 inference(monotonicity,[status(thm)],[2064])).
% 34.61/34.83 tff(2066,plain,
% 34.61/34.83 (~(multiply(inverse(sk_c7), sk_c7) = sk_c8)),
% 34.61/34.83 inference(modus_ponens,[status(thm)],[1983, 2065])).
% 34.61/34.83 tff(2067,plain,
% 34.61/34.83 ($false),
% 34.61/34.83 inference(unit_resolution,[status(thm)],[2066, 2057])).
% 34.61/34.83 % SZS output end Proof
% 34.61/34.83 % E exiting
%------------------------------------------------------------------------------