%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP283-1 : 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 8.78s 8.96s
% Output : Proof 8.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GRP283-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 15:53:32 EDT 2025
% 0.13/0.36 % CPUTime :
% 8.78/8.96 % SZS status Unsatisfiable
% 8.78/8.96 % SZS output start Proof
% 8.78/8.96 tff(sk_c8_type, type, (
% 8.78/8.96 sk_c8: $i)).
% 8.78/8.96 tff(inverse_type, type, (
% 8.78/8.96 inverse: $i > $i)).
% 8.78/8.96 tff(sk_c7_type, type, (
% 8.78/8.96 sk_c7: $i)).
% 8.78/8.96 tff(multiply_type, type, (
% 8.78/8.96 multiply: ( $i * $i ) > $i)).
% 8.78/8.96 tff(sk_c6_type, type, (
% 8.78/8.96 sk_c6: $i)).
% 8.78/8.96 tff(identity_type, type, (
% 8.78/8.96 identity: $i)).
% 8.78/8.96 tff(sk_c2_type, type, (
% 8.78/8.96 sk_c2: $i)).
% 8.78/8.96 tff(sk_c4_type, type, (
% 8.78/8.96 sk_c4: $i)).
% 8.78/8.96 tff(sk_c5_type, type, (
% 8.78/8.96 sk_c5: $i)).
% 8.78/8.96 tff(sk_c1_type, type, (
% 8.78/8.96 sk_c1: $i)).
% 8.78/8.96 tff(sk_c3_type, type, (
% 8.78/8.96 sk_c3: $i)).
% 8.78/8.96 tff(1,plain,
% 8.78/8.96 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 8.78/8.96 inference(bind,[status(th)],[])).
% 8.78/8.96 tff(2,plain,
% 8.78/8.96 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 8.78/8.96 inference(quant_intro,[status(thm)],[1])).
% 8.78/8.96 tff(3,plain,
% 8.78/8.96 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 8.78/8.96 inference(rewrite,[status(thm)],[])).
% 8.78/8.96 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 8.78/8.96 tff(5,plain,
% 8.78/8.96 (![X: $i] : (multiply(identity, X) = X)),
% 8.78/8.96 inference(modus_ponens,[status(thm)],[4, 3])).
% 8.78/8.96 tff(6,plain,(
% 8.78/8.96 ![X: $i] : (multiply(identity, X) = X)),
% 8.78/8.96 inference(skolemize,[status(sab)],[5])).
% 8.78/8.96 tff(7,plain,
% 8.78/8.96 (![X: $i] : (multiply(identity, X) = X)),
% 8.78/8.96 inference(modus_ponens,[status(thm)],[6, 2])).
% 8.78/8.96 tff(8,plain,
% 8.78/8.96 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 8.78/8.96 inference(quant_inst,[status(thm)],[])).
% 8.78/8.96 tff(9,plain,
% 8.78/8.96 (multiply(identity, sk_c8) = sk_c8),
% 8.78/8.96 inference(unit_resolution,[status(thm)],[8, 7])).
% 8.78/8.96 tff(10,assumption,(~(inverse(sk_c2) = sk_c8)), introduced(assumption)).
% 8.78/8.96 tff(11,plain,
% 8.78/8.96 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 8.78/8.96 inference(rewrite,[status(thm)],[])).
% 8.78/8.96 tff(12,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_35')).
% 8.78/8.96 tff(13,plain,
% 8.78/8.96 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.78/8.96 inference(modus_ponens,[status(thm)],[12, 11])).
% 8.78/8.96 tff(14,plain,
% 8.78/8.96 (multiply(sk_c5, sk_c8) = sk_c6),
% 8.78/8.96 inference(unit_resolution,[status(thm)],[13, 10])).
% 8.78/8.96 tff(15,plain,
% 8.78/8.96 (^[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))))),
% 8.78/8.96 inference(bind,[status(th)],[])).
% 8.78/8.96 tff(16,plain,
% 8.78/8.96 (![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)))),
% 8.78/8.96 inference(quant_intro,[status(thm)],[15])).
% 8.78/8.96 tff(17,plain,
% 8.78/8.96 (![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)))),
% 8.78/8.96 inference(rewrite,[status(thm)],[])).
% 8.78/8.96 tff(18,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')).
% 8.78/8.96 tff(19,plain,
% 8.78/8.96 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.78/8.96 inference(modus_ponens,[status(thm)],[18, 17])).
% 8.78/8.96 tff(20,plain,(
% 8.78/8.96 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.78/8.96 inference(skolemize,[status(sab)],[19])).
% 8.78/8.96 tff(21,plain,
% 8.78/8.96 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.78/8.96 inference(modus_ponens,[status(thm)],[20, 16])).
% 8.78/8.96 tff(22,plain,
% 8.78/8.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(sk_c7, multiply(sk_c5, sk_c8)))),
% 8.78/8.96 inference(quant_inst,[status(thm)],[])).
% 8.78/8.96 tff(23,plain,
% 8.78/8.96 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(sk_c7, multiply(sk_c5, sk_c8))),
% 8.78/8.96 inference(unit_resolution,[status(thm)],[22, 21])).
% 8.78/8.96 tff(24,plain,
% 8.78/8.96 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 8.78/8.97 inference(symmetry,[status(thm)],[23])).
% 8.78/8.97 tff(25,plain,
% 8.78/8.97 (sk_c6 = multiply(sk_c5, sk_c8)),
% 8.78/8.97 inference(symmetry,[status(thm)],[14])).
% 8.78/8.97 tff(26,plain,
% 8.78/8.97 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c8))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[25])).
% 8.78/8.97 tff(27,plain,
% 8.78/8.97 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 8.78/8.97 inference(rewrite,[status(thm)],[])).
% 8.78/8.97 tff(28,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_31')).
% 8.78/8.97 tff(29,plain,
% 8.78/8.97 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.78/8.97 inference(modus_ponens,[status(thm)],[28, 27])).
% 8.78/8.97 tff(30,plain,
% 8.78/8.97 (multiply(sk_c7, sk_c6) = sk_c8),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[29, 10])).
% 8.78/8.97 tff(31,plain,
% 8.78/8.97 (sk_c8 = multiply(sk_c7, sk_c6)),
% 8.78/8.97 inference(symmetry,[status(thm)],[30])).
% 8.78/8.97 tff(32,plain,
% 8.78/8.97 (sk_c8 = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 8.78/8.97 inference(transitivity,[status(thm)],[31, 26, 24])).
% 8.78/8.97 tff(33,plain,
% 8.78/8.97 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c8))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[32])).
% 8.78/8.97 tff(34,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c8)) = multiply(sk_c5, sk_c8)),
% 8.78/8.97 inference(symmetry,[status(thm)],[33])).
% 8.78/8.97 tff(35,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c8)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(36,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c8))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[35, 21])).
% 8.78/8.97 tff(37,plain,
% 8.78/8.97 ((~![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_c5)), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(38,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[37, 21])).
% 8.78/8.97 tff(39,plain,
% 8.78/8.97 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(40,plain,
% 8.78/8.97 (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c5)),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[39, 7])).
% 8.78/8.97 tff(41,plain,
% 8.78/8.97 (multiply(sk_c7, sk_c5) = multiply(identity, multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(symmetry,[status(thm)],[40])).
% 8.78/8.97 tff(42,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[41])).
% 8.78/8.97 tff(43,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(symmetry,[status(thm)],[42])).
% 8.78/8.97 tff(44,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5))))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(45,plain,
% 8.78/8.97 (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[44, 21])).
% 8.78/8.97 tff(46,plain,
% 8.78/8.97 ((~![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)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(47,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), sk_c4) = multiply(sk_c5, multiply(sk_c7, sk_c4))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[46, 21])).
% 8.78/8.97 tff(48,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c5, sk_c7), sk_c4)),
% 8.78/8.97 inference(symmetry,[status(thm)],[47])).
% 8.78/8.97 tff(49,plain,
% 8.78/8.97 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 8.78/8.97 inference(rewrite,[status(thm)],[])).
% 8.78/8.97 tff(50,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_36')).
% 8.78/8.97 tff(51,plain,
% 8.78/8.97 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 8.78/8.97 inference(modus_ponens,[status(thm)],[50, 49])).
% 8.78/8.97 tff(52,plain,
% 8.78/8.97 (inverse(sk_c5) = sk_c8),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[51, 10])).
% 8.78/8.97 tff(53,plain,
% 8.78/8.97 (sk_c8 = inverse(sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[52])).
% 8.78/8.97 tff(54,plain,
% 8.78/8.97 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[53])).
% 8.78/8.97 tff(55,plain,
% 8.78/8.97 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[54])).
% 8.78/8.97 tff(56,plain,
% 8.78/8.97 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 8.78/8.97 inference(bind,[status(th)],[])).
% 8.78/8.97 tff(57,plain,
% 8.78/8.97 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.78/8.97 inference(quant_intro,[status(thm)],[56])).
% 8.78/8.97 tff(58,plain,
% 8.78/8.97 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.78/8.97 inference(rewrite,[status(thm)],[])).
% 8.78/8.97 tff(59,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 8.78/8.97 tff(60,plain,
% 8.78/8.97 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.78/8.97 inference(modus_ponens,[status(thm)],[59, 58])).
% 8.78/8.97 tff(61,plain,(
% 8.78/8.97 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.78/8.97 inference(skolemize,[status(sab)],[60])).
% 8.78/8.97 tff(62,plain,
% 8.78/8.97 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.78/8.97 inference(modus_ponens,[status(thm)],[61, 57])).
% 8.78/8.97 tff(63,plain,
% 8.78/8.97 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(64,plain,
% 8.78/8.97 (multiply(inverse(sk_c5), sk_c5) = identity),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[63, 62])).
% 8.78/8.97 tff(65,plain,
% 8.78/8.97 (identity = multiply(inverse(sk_c5), sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[64])).
% 8.78/8.97 tff(66,plain,
% 8.78/8.97 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(67,plain,
% 8.78/8.97 (multiply(inverse(sk_c4), sk_c4) = identity),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[66, 62])).
% 8.78/8.97 tff(68,plain,
% 8.78/8.97 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7))),
% 8.78/8.97 inference(rewrite,[status(thm)],[])).
% 8.78/8.97 tff(69,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_34')).
% 8.78/8.97 tff(70,plain,
% 8.78/8.97 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 8.78/8.97 inference(modus_ponens,[status(thm)],[69, 68])).
% 8.78/8.97 tff(71,plain,
% 8.78/8.97 (inverse(sk_c4) = sk_c7),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[70, 10])).
% 8.78/8.97 tff(72,plain,
% 8.78/8.97 (sk_c7 = inverse(sk_c4)),
% 8.78/8.97 inference(symmetry,[status(thm)],[71])).
% 8.78/8.97 tff(73,plain,
% 8.78/8.97 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[72])).
% 8.78/8.97 tff(74,plain,
% 8.78/8.97 (multiply(sk_c7, sk_c4) = multiply(sk_c8, sk_c5)),
% 8.78/8.97 inference(transitivity,[status(thm)],[73, 67, 65, 55])).
% 8.78/8.97 tff(75,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(sk_c7, sk_c4)) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[74])).
% 8.78/8.97 tff(76,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(sk_c8, sk_c5)) = multiply(sk_c5, multiply(sk_c7, sk_c4))),
% 8.78/8.97 inference(symmetry,[status(thm)],[75])).
% 8.78/8.97 tff(77,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c5, multiply(sk_c8, sk_c5)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(78,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[77, 21])).
% 8.78/8.97 tff(79,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c6, sk_c5)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[14])).
% 8.78/8.97 tff(80,plain,
% 8.78/8.97 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c8), sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[79])).
% 8.78/8.97 tff(81,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)),
% 8.78/8.97 inference(symmetry,[status(thm)],[36])).
% 8.78/8.97 tff(82,plain,
% 8.78/8.97 (sk_c6 = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)),
% 8.78/8.97 inference(transitivity,[status(thm)],[25, 33, 81])).
% 8.78/8.97 tff(83,plain,
% 8.78/8.97 (multiply(sk_c6, sk_c5) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8), sk_c5)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[82])).
% 8.78/8.97 tff(84,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8), sk_c5) = multiply(sk_c6, sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[83])).
% 8.78/8.97 tff(85,plain,
% 8.78/8.97 ((~![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_c5)), sk_c8), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c5)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(86,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c5))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[85, 21])).
% 8.78/8.97 tff(87,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8), sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[86])).
% 8.78/8.97 tff(88,plain,
% 8.78/8.97 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(89,plain,
% 8.78/8.97 (multiply(inverse(sk_c7), sk_c7) = identity),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[88, 62])).
% 8.78/8.97 tff(90,plain,
% 8.78/8.97 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6))),
% 8.78/8.97 inference(rewrite,[status(thm)],[])).
% 8.78/8.97 tff(91,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_32')).
% 8.78/8.97 tff(92,plain,
% 8.78/8.97 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 8.78/8.97 inference(modus_ponens,[status(thm)],[91, 90])).
% 8.78/8.97 tff(93,plain,
% 8.78/8.97 (inverse(sk_c7) = sk_c6),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[92, 10])).
% 8.78/8.97 tff(94,plain,
% 8.78/8.97 (sk_c6 = inverse(sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[93])).
% 8.78/8.97 tff(95,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c5, sk_c8)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[30])).
% 8.78/8.97 tff(96,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(97,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[96, 21])).
% 8.78/8.97 tff(98,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), sk_c6) = inverse(sk_c7)),
% 8.78/8.97 inference(transitivity,[status(thm)],[97, 95, 14, 94])).
% 8.78/8.97 tff(99,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[98])).
% 8.78/8.97 tff(100,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(101,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[100, 21])).
% 8.78/8.97 tff(102,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[101])).
% 8.78/8.97 tff(103,plain,
% 8.78/8.97 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[94])).
% 8.78/8.97 tff(104,plain,
% 8.78/8.97 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[103])).
% 8.78/8.97 tff(105,plain,
% 8.78/8.97 (identity = multiply(inverse(sk_c7), sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[89])).
% 8.78/8.97 tff(106,plain,
% 8.78/8.97 (identity = multiply(sk_c6, sk_c7)),
% 8.78/8.97 inference(transitivity,[status(thm)],[105, 104])).
% 8.78/8.97 tff(107,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), identity) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[106])).
% 8.78/8.97 tff(108,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), identity) = multiply(sk_c8, sk_c5)),
% 8.78/8.97 inference(transitivity,[status(thm)],[107, 102, 99, 89, 65, 55])).
% 8.78/8.97 tff(109,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), identity)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c5))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[108])).
% 8.78/8.97 tff(110,plain,
% 8.78/8.97 ((~![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_c5)), multiply(sk_c5, sk_c7)), identity) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), identity)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(111,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), identity) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), identity))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[110, 21])).
% 8.78/8.97 tff(112,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), identity) = multiply(multiply(sk_c5, sk_c7), sk_c4)),
% 8.78/8.97 inference(transitivity,[status(thm)],[111, 109, 87, 84, 80, 78, 76, 48])).
% 8.78/8.97 tff(113,plain,
% 8.78/8.97 (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[112])).
% 8.78/8.97 tff(114,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(symmetry,[status(thm)],[113])).
% 8.78/8.97 tff(115,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c5))))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(116,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[115, 21])).
% 8.78/8.97 tff(117,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(symmetry,[status(thm)],[116])).
% 8.78/8.97 tff(118,plain,
% 8.78/8.97 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 8.78/8.97 inference(rewrite,[status(thm)],[])).
% 8.78/8.97 tff(119,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_33')).
% 8.78/8.97 tff(120,plain,
% 8.78/8.97 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 8.78/8.97 inference(modus_ponens,[status(thm)],[119, 118])).
% 8.78/8.97 tff(121,plain,
% 8.78/8.97 (multiply(sk_c4, sk_c7) = sk_c8),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[120, 10])).
% 8.78/8.97 tff(122,plain,
% 8.78/8.97 (multiply(sk_c4, sk_c7) = inverse(sk_c5)),
% 8.78/8.97 inference(transitivity,[status(thm)],[121, 53])).
% 8.78/8.97 tff(123,plain,
% 8.78/8.97 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[122])).
% 8.78/8.97 tff(124,plain,
% 8.78/8.97 ((~![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)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(125,plain,
% 8.78/8.97 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[124, 21])).
% 8.78/8.97 tff(126,plain,
% 8.78/8.97 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c4, sk_c7), sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[125])).
% 8.78/8.97 tff(127,plain,
% 8.78/8.97 (multiply(sk_c4, multiply(sk_c7, sk_c5)) = multiply(sk_c6, sk_c7)),
% 8.78/8.97 inference(transitivity,[status(thm)],[126, 123, 64, 105, 104])).
% 8.78/8.97 tff(128,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[127])).
% 8.78/8.97 tff(129,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(symmetry,[status(thm)],[128])).
% 8.78/8.97 tff(130,plain,
% 8.78/8.97 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[99])).
% 8.78/8.97 tff(131,plain,
% 8.78/8.97 (multiply(sk_c5, sk_c8) = inverse(sk_c7)),
% 8.78/8.97 inference(transitivity,[status(thm)],[14, 94])).
% 8.78/8.97 tff(132,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[131])).
% 8.78/8.97 tff(133,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(134,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[133, 21])).
% 8.78/8.97 tff(135,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[134])).
% 8.78/8.97 tff(136,plain,
% 8.78/8.97 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[31])).
% 8.78/8.97 tff(137,plain,
% 8.78/8.97 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[136])).
% 8.78/8.97 tff(138,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(139,plain,
% 8.78/8.97 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[138, 21])).
% 8.78/8.97 tff(140,plain,
% 8.78/8.97 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 8.78/8.97 inference(symmetry,[status(thm)],[139])).
% 8.78/8.97 tff(141,plain,
% 8.78/8.97 (multiply(sk_c6, sk_c7) = identity),
% 8.78/8.97 inference(transitivity,[status(thm)],[103, 89])).
% 8.78/8.97 tff(142,plain,
% 8.78/8.97 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, identity)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[141])).
% 8.78/8.97 tff(143,plain,
% 8.78/8.97 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.78/8.97 inference(symmetry,[status(thm)],[142])).
% 8.78/8.97 tff(144,plain,
% 8.78/8.97 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c4, sk_c7), sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[123])).
% 8.78/8.97 tff(145,plain,
% 8.78/8.97 (identity = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(transitivity,[status(thm)],[65, 144, 125])).
% 8.78/8.97 tff(146,plain,
% 8.78/8.97 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[145])).
% 8.78/8.97 tff(147,plain,
% 8.78/8.97 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(sk_c7, identity)),
% 8.78/8.97 inference(symmetry,[status(thm)],[146])).
% 8.78/8.97 tff(148,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5))))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(149,plain,
% 8.78/8.97 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[148, 21])).
% 8.78/8.97 tff(150,plain,
% 8.78/8.97 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 8.78/8.97 inference(symmetry,[status(thm)],[73])).
% 8.78/8.97 tff(151,plain,
% 8.78/8.97 (identity = multiply(inverse(sk_c4), sk_c4)),
% 8.78/8.97 inference(symmetry,[status(thm)],[67])).
% 8.78/8.97 tff(152,plain,
% 8.78/8.97 (identity = multiply(sk_c7, sk_c4)),
% 8.78/8.97 inference(transitivity,[status(thm)],[151, 150])).
% 8.78/8.97 tff(153,plain,
% 8.78/8.97 (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[152])).
% 8.78/8.97 tff(154,plain,
% 8.78/8.97 (multiply(sk_c7, sk_c5) = multiply(sk_c8, sk_c7)),
% 8.78/8.97 inference(transitivity,[status(thm)],[41, 153, 149, 147, 143, 140, 137])).
% 8.78/8.97 tff(155,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[154])).
% 8.78/8.97 tff(156,plain,
% 8.78/8.97 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(transitivity,[status(thm)],[155, 135, 132, 130, 101, 129, 117, 114, 45, 43, 38])).
% 8.78/8.97 tff(157,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c8)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[156])).
% 8.78/8.97 tff(158,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)),
% 8.78/8.97 inference(symmetry,[status(thm)],[157])).
% 8.78/8.97 tff(159,plain,
% 8.78/8.97 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(sk_c7, sk_c6)),
% 8.78/8.97 inference(symmetry,[status(thm)],[26])).
% 8.78/8.97 tff(160,plain,
% 8.78/8.97 (multiply(multiply(sk_c7, sk_c5), sk_c8) = inverse(sk_c5)),
% 8.78/8.97 inference(transitivity,[status(thm)],[23, 159, 30, 53])).
% 8.78/8.97 tff(161,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 8.78/8.97 inference(monotonicity,[status(thm)],[160])).
% 8.78/8.97 tff(162,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(163,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[162, 21])).
% 8.78/8.97 tff(164,plain,
% 8.78/8.97 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c5)),
% 8.78/8.97 inference(symmetry,[status(thm)],[163])).
% 8.78/8.97 tff(165,plain,
% 8.78/8.97 (identity = multiply(sk_c8, sk_c5)),
% 8.78/8.97 inference(transitivity,[status(thm)],[65, 55])).
% 8.78/8.97 tff(166,plain,
% 8.78/8.97 (multiply(multiply(sk_c7, sk_c5), identity) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[165])).
% 8.78/8.97 tff(167,plain,
% 8.78/8.97 (multiply(multiply(sk_c7, sk_c5), identity) = multiply(sk_c6, sk_c7)),
% 8.78/8.97 inference(transitivity,[status(thm)],[166, 164, 161, 64, 105, 104])).
% 8.78/8.97 tff(168,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), identity)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[167])).
% 8.78/8.97 tff(169,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), identity) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), identity)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(170,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), identity) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), identity))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[169, 21])).
% 8.78/8.97 tff(171,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), identity) = multiply(sk_c8, sk_c5)),
% 8.78/8.97 inference(transitivity,[status(thm)],[170, 168, 102, 99, 89, 65, 55])).
% 8.78/8.97 tff(172,plain,
% 8.78/8.97 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), identity)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c8, sk_c5))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[171])).
% 8.78/8.97 tff(173,plain,
% 8.78/8.97 ((~![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_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), identity)))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(174,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), identity))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[173, 21])).
% 8.78/8.97 tff(175,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity) = multiply(multiply(sk_c5, sk_c7), sk_c4)),
% 8.78/8.97 inference(transitivity,[status(thm)],[174, 172, 87, 84, 80, 78, 76, 48])).
% 8.78/8.97 tff(176,plain,
% 8.78/8.97 (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(monotonicity,[status(thm)],[175])).
% 8.78/8.97 tff(177,plain,
% 8.78/8.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(identity, multiply(sk_c7, sk_c5))))),
% 8.78/8.97 inference(quant_inst,[status(thm)],[])).
% 8.78/8.97 tff(178,plain,
% 8.78/8.97 (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.97 inference(unit_resolution,[status(thm)],[177, 21])).
% 8.78/8.97 tff(179,plain,
% 8.78/8.97 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity), multiply(sk_c7, sk_c5))),
% 8.78/8.97 inference(symmetry,[status(thm)],[178])).
% 8.78/8.97 tff(180,plain,
% 8.78/8.97 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(transitivity,[status(thm)],[73, 67, 105, 130, 101, 129, 117, 114, 45, 43, 38])).
% 8.78/8.98 tff(181,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[180, 41])).
% 8.78/8.98 tff(182,plain,
% 8.78/8.98 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(transitivity,[status(thm)],[41, 153, 181, 179, 176, 114, 45, 43, 38])).
% 8.78/8.98 tff(183,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c8)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[182])).
% 8.78/8.98 tff(184,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5)) = multiply(identity, multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[153])).
% 8.78/8.98 tff(185,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), identity) = multiply(sk_c7, sk_c4)),
% 8.78/8.98 inference(transitivity,[status(thm)],[107, 102, 99, 89, 151, 150])).
% 8.78/8.98 tff(186,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[185])).
% 8.78/8.98 tff(187,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(identity, multiply(sk_c7, sk_c5))))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(188,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[187, 21])).
% 8.78/8.98 tff(189,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c5, sk_c7), identity), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[188])).
% 8.78/8.98 tff(190,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[41])).
% 8.78/8.98 tff(191,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c5)),
% 8.78/8.98 inference(transitivity,[status(thm)],[190, 189, 186, 184, 40])).
% 8.78/8.98 tff(192,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[191])).
% 8.78/8.98 tff(193,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c8)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(194,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c8))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[193, 21])).
% 8.78/8.98 tff(195,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c8)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c8)),
% 8.78/8.98 inference(symmetry,[status(thm)],[194])).
% 8.78/8.98 tff(196,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c8))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[32])).
% 8.78/8.98 tff(197,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[121])).
% 8.78/8.98 tff(198,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(199,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c7))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[198, 21])).
% 8.78/8.98 tff(200,plain,
% 8.78/8.98 (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c8, sk_c5)),
% 8.78/8.98 inference(transitivity,[status(thm)],[135, 132, 89, 65, 55])).
% 8.78/8.98 tff(201,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[200])).
% 8.78/8.98 tff(202,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(203,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[202, 21])).
% 8.78/8.98 tff(204,plain,
% 8.78/8.98 (multiply(sk_c5, multiply(sk_c4, sk_c7)) = multiply(sk_c5, sk_c8)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[121])).
% 8.78/8.98 tff(205,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c4), sk_c7) = multiply(sk_c5, multiply(sk_c4, sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(206,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c4), sk_c7) = multiply(sk_c5, multiply(sk_c4, sk_c7))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[205, 21])).
% 8.78/8.98 tff(207,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c4), sk_c7) = sk_c6),
% 8.78/8.98 inference(transitivity,[status(thm)],[206, 204, 14])).
% 8.78/8.98 tff(208,plain,
% 8.78/8.98 (multiply(sk_c7, multiply(multiply(sk_c5, sk_c4), sk_c7)) = multiply(sk_c7, sk_c6)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[207])).
% 8.78/8.98 tff(209,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c4), sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(210,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c4), sk_c7))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[209, 21])).
% 8.78/8.98 tff(211,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7) = sk_c8),
% 8.78/8.98 inference(transitivity,[status(thm)],[210, 208, 30])).
% 8.78/8.98 tff(212,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[211])).
% 8.78/8.98 tff(213,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(214,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[213, 21])).
% 8.78/8.98 tff(215,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[214])).
% 8.78/8.98 tff(216,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)) = multiply(sk_c8, sk_c7)),
% 8.78/8.98 inference(transitivity,[status(thm)],[215, 212])).
% 8.78/8.98 tff(217,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c8, sk_c7))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[216])).
% 8.78/8.98 tff(218,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c8, sk_c5)),
% 8.78/8.98 inference(transitivity,[status(thm)],[217, 203, 201, 164, 161, 55])).
% 8.78/8.98 tff(219,plain,
% 8.78/8.98 (multiply(sk_c5, multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[218])).
% 8.78/8.98 tff(220,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c5, multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(221,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c5, multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[220, 21])).
% 8.78/8.98 tff(222,plain,
% 8.78/8.98 (multiply(sk_c8, sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), sk_c7), sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[212])).
% 8.78/8.98 tff(223,plain,
% 8.78/8.98 (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))),
% 8.78/8.98 inference(transitivity,[status(thm)],[153, 149, 147, 143, 140, 137, 222, 214])).
% 8.78/8.98 tff(224,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[223])).
% 8.78/8.98 tff(225,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c5) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c5)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(226,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c5) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[225, 21])).
% 8.78/8.98 tff(227,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c5), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[226])).
% 8.78/8.98 tff(228,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c5), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[41])).
% 8.78/8.98 tff(229,plain,
% 8.78/8.98 ((~![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_c5)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(230,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[229, 21])).
% 8.78/8.98 tff(231,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c5), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[230])).
% 8.78/8.98 tff(232,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, sk_c7), sk_c4)),
% 8.78/8.98 inference(transitivity,[status(thm)],[231, 228, 227, 224, 221, 219, 76, 48])).
% 8.78/8.98 tff(233,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), sk_c7)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[232])).
% 8.78/8.98 tff(234,plain,
% 8.78/8.98 ((~![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_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(235,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[234, 21])).
% 8.78/8.98 tff(236,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[235])).
% 8.78/8.98 tff(237,plain,
% 8.78/8.98 ((~![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)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(238,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[237, 21])).
% 8.78/8.98 tff(239,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[238])).
% 8.78/8.98 tff(240,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(241,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[240, 21])).
% 8.78/8.98 tff(242,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[241])).
% 8.78/8.98 tff(243,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)),
% 8.78/8.98 inference(transitivity,[status(thm)],[242, 239])).
% 8.78/8.98 tff(244,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[243])).
% 8.78/8.98 tff(245,plain,
% 8.78/8.98 (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[155])).
% 8.78/8.98 tff(246,plain,
% 8.78/8.98 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[132])).
% 8.78/8.98 tff(247,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[45])).
% 8.78/8.98 tff(248,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[38])).
% 8.78/8.98 tff(249,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(transitivity,[status(thm)],[248, 42, 247, 113, 116, 128, 102, 99, 246, 134, 245])).
% 8.78/8.98 tff(250,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[249])).
% 8.78/8.98 tff(251,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[182])).
% 8.78/8.98 tff(252,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[191])).
% 8.78/8.98 tff(253,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[239])).
% 8.78/8.98 tff(254,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))),
% 8.78/8.98 inference(transitivity,[status(thm)],[253, 241])).
% 8.78/8.98 tff(255,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[254])).
% 8.78/8.98 tff(256,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(257,plain,
% 8.78/8.98 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[256, 21])).
% 8.78/8.98 tff(258,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(259,plain,
% 8.78/8.98 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[258, 21])).
% 8.78/8.98 tff(260,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c5) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(261,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c5) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[260, 21])).
% 8.78/8.98 tff(262,plain,
% 8.78/8.98 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[261])).
% 8.78/8.98 tff(263,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c5), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[262])).
% 8.78/8.98 tff(264,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[41])).
% 8.78/8.98 tff(265,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[264])).
% 8.78/8.98 tff(266,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[223])).
% 8.78/8.98 tff(267,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(symmetry,[status(thm)],[266])).
% 8.78/8.98 tff(268,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(269,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[268, 21])).
% 8.78/8.98 tff(270,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.78/8.98 inference(symmetry,[status(thm)],[269])).
% 8.78/8.98 tff(271,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c6, sk_c7)),
% 8.78/8.98 inference(transitivity,[status(thm)],[217, 203, 201, 164, 161, 64, 105, 104])).
% 8.78/8.98 tff(272,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7))),
% 8.78/8.98 inference(monotonicity,[status(thm)],[271])).
% 8.78/8.98 tff(273,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))))),
% 8.78/8.98 inference(symmetry,[status(thm)],[272])).
% 8.78/8.98 tff(274,plain,
% 8.78/8.98 (identity = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.98 inference(transitivity,[status(thm)],[105, 130, 101, 273, 270, 267, 265, 263, 259])).
% 8.78/8.98 tff(275,plain,
% 8.78/8.98 (multiply(identity, sk_c7) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[274])).
% 8.78/8.98 tff(276,plain,
% 8.78/8.98 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(277,plain,
% 8.78/8.98 (multiply(identity, sk_c7) = sk_c7),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[276, 7])).
% 8.78/8.98 tff(278,plain,
% 8.78/8.98 (sk_c7 = multiply(identity, sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[277])).
% 8.78/8.98 tff(279,plain,
% 8.78/8.98 (sk_c7 = sk_c6),
% 8.78/8.98 inference(transitivity,[status(thm)],[278, 275, 257, 255, 252, 251, 250, 244, 236, 233, 199, 197, 196, 195, 192, 183, 158, 36, 34, 14])).
% 8.78/8.98 tff(280,plain,
% 8.78/8.98 ((multiply(sk_c4, sk_c8) = sk_c7) <=> (multiply(sk_c4, sk_c8) = sk_c6)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[279])).
% 8.78/8.98 tff(281,plain,
% 8.78/8.98 ((multiply(sk_c4, sk_c8) = sk_c6) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 8.78/8.98 inference(symmetry,[status(thm)],[280])).
% 8.78/8.98 tff(282,plain,
% 8.78/8.98 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/8.98 inference(symmetry,[status(thm)],[149])).
% 8.78/8.98 tff(283,plain,
% 8.78/8.98 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)) = identity),
% 8.78/8.98 inference(transitivity,[status(thm)],[215, 212, 136, 139, 142, 146, 282, 181, 179, 176, 116, 128, 102, 99, 89])).
% 8.78/8.98 tff(284,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)), sk_c7) = multiply(identity, sk_c7)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[283])).
% 8.78/8.98 tff(285,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), sk_c6) = sk_c6),
% 8.78/8.98 inference(transitivity,[status(thm)],[97, 95, 14])).
% 8.78/8.98 tff(286,plain,
% 8.78/8.98 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c6)) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[285])).
% 8.78/8.98 tff(287,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c6)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(288,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c6))),
% 8.78/8.98 inference(unit_resolution,[status(thm)],[287, 21])).
% 8.78/8.98 tff(289,plain,
% 8.78/8.98 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6) = inverse(sk_c7)),
% 8.78/8.98 inference(transitivity,[status(thm)],[288, 286, 97, 95, 14, 94])).
% 8.78/8.98 tff(290,plain,
% 8.78/8.98 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.78/8.98 inference(monotonicity,[status(thm)],[289])).
% 8.78/8.98 tff(291,plain,
% 8.78/8.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c7)))),
% 8.78/8.98 inference(quant_inst,[status(thm)],[])).
% 8.78/8.98 tff(292,plain,
% 8.78/8.98 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c7))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[291, 21])).
% 8.78/8.99 tff(293,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6), sk_c7)),
% 8.78/8.99 inference(symmetry,[status(thm)],[292])).
% 8.78/8.99 tff(294,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), identity) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[106])).
% 8.78/8.99 tff(295,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), identity) = multiply(sk_c7, sk_c4)),
% 8.78/8.99 inference(transitivity,[status(thm)],[294, 293, 290, 89, 151, 150])).
% 8.78/8.99 tff(296,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[295])).
% 8.78/8.99 tff(297,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(298,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[297, 21])).
% 8.78/8.99 tff(299,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), identity), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(symmetry,[status(thm)],[298])).
% 8.78/8.99 tff(300,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[41])).
% 8.78/8.99 tff(301,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(transitivity,[status(thm)],[300, 299, 296, 149, 147, 143, 140, 137, 222, 214])).
% 8.78/8.99 tff(302,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)), sk_c7)),
% 8.78/8.99 inference(monotonicity,[status(thm)],[301])).
% 8.78/8.99 tff(303,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c7, sk_c5), sk_c7)))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(304,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[303, 21])).
% 8.78/8.99 tff(305,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)), sk_c7)),
% 8.78/8.99 inference(symmetry,[status(thm)],[304])).
% 8.78/8.99 tff(306,plain,
% 8.78/8.99 ((~![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)))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(307,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[306, 21])).
% 8.78/8.99 tff(308,plain,
% 8.78/8.99 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 8.78/8.99 inference(symmetry,[status(thm)],[307])).
% 8.78/8.99 tff(309,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[308])).
% 8.78/8.99 tff(310,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(311,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[310, 21])).
% 8.78/8.99 tff(312,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c7)))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(313,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c7))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[312, 21])).
% 8.78/8.99 tff(314,plain,
% 8.78/8.99 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7)),
% 8.78/8.99 inference(symmetry,[status(thm)],[313])).
% 8.78/8.99 tff(315,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7), multiply(sk_c5, sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[314])).
% 8.78/8.99 tff(316,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), sk_c7)),
% 8.78/8.99 inference(monotonicity,[status(thm)],[243])).
% 8.78/8.99 tff(317,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c7)),
% 8.78/8.99 inference(symmetry,[status(thm)],[316])).
% 8.78/8.99 tff(318,plain,
% 8.78/8.99 ((~![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_c5)), sk_c7), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c7)))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(319,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[318, 21])).
% 8.78/8.99 tff(320,plain,
% 8.78/8.99 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), sk_c7)),
% 8.78/8.99 inference(symmetry,[status(thm)],[319])).
% 8.78/8.99 tff(321,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(322,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[321, 21])).
% 8.78/8.99 tff(323,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(symmetry,[status(thm)],[322])).
% 8.78/8.99 tff(324,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(325,plain,
% 8.78/8.99 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[324, 21])).
% 8.78/8.99 tff(326,plain,
% 8.78/8.99 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(symmetry,[status(thm)],[325])).
% 8.78/8.99 tff(327,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[326])).
% 8.78/8.99 tff(328,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(symmetry,[status(thm)],[327])).
% 8.78/8.99 tff(329,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(330,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[329, 21])).
% 8.78/8.99 tff(331,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[238])).
% 8.78/8.99 tff(332,plain,
% 8.78/8.99 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c5), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(symmetry,[status(thm)],[331])).
% 8.78/8.99 tff(333,plain,
% 8.78/8.99 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(transitivity,[status(thm)],[332, 330])).
% 8.78/8.99 tff(334,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[333])).
% 8.78/8.99 tff(335,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(symmetry,[status(thm)],[334])).
% 8.78/8.99 tff(336,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5)))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(337,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[336, 21])).
% 8.78/8.99 tff(338,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(339,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[338, 21])).
% 8.78/8.99 tff(340,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[41])).
% 8.78/8.99 tff(341,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(symmetry,[status(thm)],[340])).
% 8.78/8.99 tff(342,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[223])).
% 8.78/8.99 tff(343,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(symmetry,[status(thm)],[342])).
% 8.78/8.99 tff(344,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(345,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[344, 21])).
% 8.78/8.99 tff(346,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.78/8.99 inference(symmetry,[status(thm)],[345])).
% 8.78/8.99 tff(347,plain,
% 8.78/8.99 (multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[216])).
% 8.78/8.99 tff(348,plain,
% 8.78/8.99 (multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = identity),
% 8.78/8.99 inference(transitivity,[status(thm)],[347, 135, 132, 89])).
% 8.78/8.99 tff(349,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), identity)),
% 8.78/8.99 inference(monotonicity,[status(thm)],[348])).
% 8.78/8.99 tff(350,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), identity) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))))),
% 8.78/8.99 inference(symmetry,[status(thm)],[349])).
% 8.78/8.99 tff(351,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), identity) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), identity)))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(352,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), identity) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), identity))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[351, 21])).
% 8.78/8.99 tff(353,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), identity)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), identity)),
% 8.78/8.99 inference(symmetry,[status(thm)],[352])).
% 8.78/8.99 tff(354,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), identity)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[108])).
% 8.78/8.99 tff(355,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), identity))),
% 8.78/8.99 inference(symmetry,[status(thm)],[354])).
% 8.78/8.99 tff(356,plain,
% 8.78/8.99 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c5)),
% 8.78/8.99 inference(symmetry,[status(thm)],[161])).
% 8.78/8.99 tff(357,plain,
% 8.78/8.99 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(transitivity,[status(thm)],[155, 135, 132, 89, 65, 356, 163, 355, 353, 350, 346, 343, 341, 339, 337, 335, 328, 323])).
% 8.78/8.99 tff(358,plain,
% 8.78/8.99 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[357])).
% 8.78/8.99 tff(359,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(symmetry,[status(thm)],[358])).
% 8.78/8.99 tff(360,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(361,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[360, 21])).
% 8.78/8.99 tff(362,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c5) = multiply(sk_c7, multiply(sk_c5, sk_c5)))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(363,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), sk_c5) = multiply(sk_c7, multiply(sk_c5, sk_c5))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[362, 21])).
% 8.78/8.99 tff(364,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c5)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[363, 41])).
% 8.78/8.99 tff(365,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c5)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(symmetry,[status(thm)],[364])).
% 8.78/8.99 tff(366,plain,
% 8.78/8.99 (multiply(identity, multiply(sk_c7, sk_c5)) = multiply(sk_c8, sk_c7)),
% 8.78/8.99 inference(transitivity,[status(thm)],[153, 149, 147, 143, 140, 137])).
% 8.78/8.99 tff(367,plain,
% 8.78/8.99 (multiply(sk_c7, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c7, sk_c5), sk_c5)),
% 8.78/8.99 inference(symmetry,[status(thm)],[363])).
% 8.78/8.99 tff(368,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c5)), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c8, sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[367, 366])).
% 8.78/8.99 tff(369,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c5)), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(symmetry,[status(thm)],[368])).
% 8.78/8.99 tff(370,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c8, sk_c7))),
% 8.78/8.99 inference(symmetry,[status(thm)],[203])).
% 8.78/8.99 tff(371,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 8.78/8.99 inference(symmetry,[status(thm)],[201])).
% 8.78/8.99 tff(372,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c5))),
% 8.78/8.99 inference(symmetry,[status(thm)],[339])).
% 8.78/8.99 tff(373,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5)))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(symmetry,[status(thm)],[337])).
% 8.78/8.99 tff(374,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(transitivity,[status(thm)],[322, 327, 334, 373, 372, 340, 342, 345, 349, 352, 354, 371, 370, 369, 365, 361])).
% 8.78/8.99 tff(375,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[374])).
% 8.78/8.99 tff(376,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(symmetry,[status(thm)],[375])).
% 8.78/8.99 tff(377,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), sk_c5)))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(378,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), sk_c5))),
% 8.78/8.99 inference(unit_resolution,[status(thm)],[377, 21])).
% 8.78/8.99 tff(379,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5)),
% 8.78/8.99 inference(symmetry,[status(thm)],[378])).
% 8.78/8.99 tff(380,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), sk_c5)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[238])).
% 8.78/8.99 tff(381,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), sk_c5))),
% 8.78/8.99 inference(symmetry,[status(thm)],[380])).
% 8.78/8.99 tff(382,plain,
% 8.78/8.99 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5)),
% 8.78/8.99 inference(transitivity,[status(thm)],[381, 379])).
% 8.78/8.99 tff(383,plain,
% 8.78/8.99 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(monotonicity,[status(thm)],[382])).
% 8.78/8.99 tff(384,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, sk_c5))), multiply(sk_c7, sk_c7))),
% 8.78/8.99 inference(symmetry,[status(thm)],[383])).
% 8.78/8.99 tff(385,plain,
% 8.78/8.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c7))))),
% 8.78/8.99 inference(quant_inst,[status(thm)],[])).
% 8.78/8.99 tff(386,plain,
% 8.78/8.99 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c7)))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[385, 21])).
% 8.78/9.00 tff(387,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), sk_c5), multiply(sk_c7, sk_c7))),
% 8.78/9.00 inference(symmetry,[status(thm)],[386])).
% 8.78/9.00 tff(388,plain,
% 8.78/9.00 ((~![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)))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(389,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[388, 21])).
% 8.78/9.00 tff(390,plain,
% 8.78/9.00 (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, sk_c7), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[389])).
% 8.78/9.00 tff(391,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[390])).
% 8.78/9.00 tff(392,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, multiply(sk_c7, sk_c7)))),
% 8.78/9.00 inference(symmetry,[status(thm)],[391])).
% 8.78/9.00 tff(393,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c7))),
% 8.78/9.00 inference(transitivity,[status(thm)],[392, 387, 384, 376, 359, 320, 317, 313])).
% 8.78/9.00 tff(394,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c7)), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[393])).
% 8.78/9.00 tff(395,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7)))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(396,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[395, 21])).
% 8.78/9.00 tff(397,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7)))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(398,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[397, 21])).
% 8.78/9.00 tff(399,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(symmetry,[status(thm)],[398])).
% 8.78/9.00 tff(400,plain,
% 8.78/9.00 ((~![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, sk_c7)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(401,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[400, 21])).
% 8.78/9.00 tff(402,plain,
% 8.78/9.00 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(symmetry,[status(thm)],[401])).
% 8.78/9.00 tff(403,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[402])).
% 8.78/9.00 tff(404,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(symmetry,[status(thm)],[403])).
% 8.78/9.00 tff(405,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(406,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[405, 21])).
% 8.78/9.00 tff(407,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(transitivity,[status(thm)],[406, 404, 399])).
% 8.78/9.00 tff(408,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)), sk_c7) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7))), sk_c7)),
% 8.78/9.00 inference(monotonicity,[status(thm)],[407])).
% 8.78/9.00 tff(409,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7))), sk_c7) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[408])).
% 8.78/9.00 tff(410,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(411,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[410, 21])).
% 8.78/9.00 tff(412,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(symmetry,[status(thm)],[411])).
% 8.78/9.00 tff(413,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(414,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[413, 21])).
% 8.78/9.00 tff(415,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(symmetry,[status(thm)],[414])).
% 8.78/9.00 tff(416,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[415])).
% 8.78/9.00 tff(417,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(symmetry,[status(thm)],[416])).
% 8.78/9.00 tff(418,plain,
% 8.78/9.00 ((~![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_c5)), sk_c7), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(419,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[418, 21])).
% 8.78/9.00 tff(420,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[243])).
% 8.78/9.00 tff(421,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(transitivity,[status(thm)],[420, 419])).
% 8.78/9.00 tff(422,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[421])).
% 8.78/9.00 tff(423,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(symmetry,[status(thm)],[422])).
% 8.78/9.00 tff(424,plain,
% 8.78/9.00 ((~![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_c5)), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c7)))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(425,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[424, 21])).
% 8.78/9.00 tff(426,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[425])).
% 8.78/9.00 tff(427,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[307])).
% 8.78/9.00 tff(428,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 8.78/9.00 inference(symmetry,[status(thm)],[427])).
% 8.78/9.00 tff(429,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7)),
% 8.78/9.00 inference(transitivity,[status(thm)],[428, 426])).
% 8.78/9.00 tff(430,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[429])).
% 8.78/9.00 tff(431,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7)) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(symmetry,[status(thm)],[430])).
% 8.78/9.00 tff(432,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7)))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(433,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[432, 21])).
% 8.78/9.00 tff(434,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))) = identity),
% 8.78/9.00 inference(transitivity,[status(thm)],[334, 373, 372, 340, 342, 345, 349, 352, 354, 164, 161, 64])).
% 8.78/9.00 tff(435,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c7) = multiply(identity, sk_c7)),
% 8.78/9.00 inference(monotonicity,[status(thm)],[434])).
% 8.78/9.00 tff(436,plain,
% 8.78/9.00 (multiply(identity, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[435])).
% 8.78/9.00 tff(437,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(identity, sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[275])).
% 8.78/9.00 tff(438,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[257])).
% 8.78/9.00 tff(439,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7))),
% 8.78/9.00 inference(symmetry,[status(thm)],[255])).
% 8.78/9.00 tff(440,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(symmetry,[status(thm)],[252])).
% 8.78/9.00 tff(441,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(transitivity,[status(thm)],[398, 403, 440, 439, 438, 437, 436, 433, 431, 423, 417, 412])).
% 8.78/9.00 tff(442,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7))), sk_c7) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c7)),
% 8.78/9.00 inference(monotonicity,[status(thm)],[441])).
% 8.78/9.00 tff(443,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c7) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(sk_c7, multiply(sk_c5, sk_c7))), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[442])).
% 8.78/9.00 tff(444,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[433])).
% 8.78/9.00 tff(445,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = sk_c8),
% 8.78/9.00 inference(transitivity,[status(thm)],[411, 416, 422, 430, 444, 435, 275, 257, 255, 252, 251, 250, 244, 236, 233, 199, 197, 196, 195, 192, 23, 159, 30])).
% 8.78/9.00 tff(446,plain,
% 8.78/9.00 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.78/9.00 inference(monotonicity,[status(thm)],[445])).
% 8.78/9.00 tff(447,plain,
% 8.78/9.00 (multiply(sk_c8, sk_c7) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[446])).
% 8.78/9.00 tff(448,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c5))),
% 8.78/9.00 inference(symmetry,[status(thm)],[181])).
% 8.78/9.00 tff(449,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), identity), multiply(sk_c7, sk_c5))),
% 8.78/9.00 inference(symmetry,[status(thm)],[176])).
% 8.78/9.00 tff(450,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7))),
% 8.78/9.00 inference(transitivity,[status(thm)],[248, 42, 247, 113, 449, 178, 448, 149, 147, 143, 140, 137, 447, 443, 409, 396])).
% 8.78/9.00 tff(451,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c5, sk_c7), sk_c7)), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[450])).
% 8.78/9.00 tff(452,plain,
% 8.78/9.00 (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.78/9.00 inference(monotonicity,[status(thm)],[121])).
% 8.78/9.00 tff(453,plain,
% 8.78/9.00 ((~![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)))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(454,plain,
% 8.78/9.00 (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[453, 21])).
% 8.78/9.00 tff(455,plain,
% 8.78/9.00 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c4, sk_c7), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[454])).
% 8.78/9.00 tff(456,plain,
% 8.78/9.00 (multiply(sk_c4, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)))),
% 8.78/9.00 inference(transitivity,[status(thm)],[455, 452, 136, 139, 142, 146, 282, 181, 179, 176, 114, 45, 43, 38])).
% 8.78/9.00 tff(457,plain,
% 8.78/9.00 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[456])).
% 8.78/9.00 tff(458,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(459,plain,
% 8.78/9.00 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[458, 21])).
% 8.78/9.00 tff(460,plain,
% 8.78/9.00 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(symmetry,[status(thm)],[459])).
% 8.78/9.00 tff(461,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(462,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[461, 21])).
% 8.78/9.00 tff(463,plain,
% 8.78/9.00 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7))),
% 8.78/9.00 inference(symmetry,[status(thm)],[462])).
% 8.78/9.00 tff(464,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[308])).
% 8.78/9.00 tff(465,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(symmetry,[status(thm)],[464])).
% 8.78/9.00 tff(466,plain,
% 8.78/9.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c7)))),
% 8.78/9.00 inference(quant_inst,[status(thm)],[])).
% 8.78/9.00 tff(467,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c7))),
% 8.78/9.00 inference(unit_resolution,[status(thm)],[466, 21])).
% 8.78/9.00 tff(468,plain,
% 8.78/9.00 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))),
% 8.78/9.00 inference(transitivity,[status(thm)],[190, 189, 186, 149, 147, 143, 140, 137, 222, 214])).
% 8.78/9.00 tff(469,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)), sk_c7)),
% 8.78/9.00 inference(monotonicity,[status(thm)],[468])).
% 8.78/9.00 tff(470,plain,
% 8.78/9.00 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c7)),
% 8.78/9.00 inference(symmetry,[status(thm)],[469])).
% 8.78/9.00 tff(471,plain,
% 8.78/9.00 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))),
% 8.78/9.00 inference(transitivity,[status(thm)],[41, 153, 149, 147, 143, 140, 137, 222, 214])).
% 8.78/9.00 tff(472,plain,
% 8.78/9.00 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)), sk_c7)),
% 8.78/9.00 inference(monotonicity,[status(thm)],[471])).
% 8.78/9.00 tff(473,plain,
% 8.78/9.00 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(transitivity,[status(thm)],[308, 472, 470, 467, 465])).
% 8.78/9.00 tff(474,plain,
% 8.78/9.00 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.00 inference(monotonicity,[status(thm)],[473])).
% 8.78/9.00 tff(475,plain,
% 8.78/9.00 (multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.00 inference(symmetry,[status(thm)],[474])).
% 8.78/9.00 tff(476,plain,
% 8.78/9.00 ((~![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)), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7)))))),
% 8.78/9.01 inference(quant_inst,[status(thm)],[])).
% 8.78/9.01 tff(477,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.01 inference(unit_resolution,[status(thm)],[476, 21])).
% 8.78/9.01 tff(478,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(monotonicity,[status(thm)],[308])).
% 8.78/9.01 tff(479,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(symmetry,[status(thm)],[478])).
% 8.78/9.01 tff(480,plain,
% 8.78/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))))),
% 8.78/9.01 inference(quant_inst,[status(thm)],[])).
% 8.78/9.01 tff(481,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.01 inference(unit_resolution,[status(thm)],[480, 21])).
% 8.78/9.01 tff(482,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(symmetry,[status(thm)],[481])).
% 8.78/9.01 tff(483,plain,
% 8.78/9.01 (multiply(sk_c7, sk_c5) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.78/9.01 inference(transitivity,[status(thm)],[41, 153, 181, 179, 176, 116, 128, 102, 99, 89, 65, 356, 163, 355, 353, 350, 346, 343, 341, 339, 337, 335, 328, 323])).
% 8.78/9.01 tff(484,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.01 inference(monotonicity,[status(thm)],[483])).
% 8.78/9.01 tff(485,plain,
% 8.78/9.01 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.01 inference(symmetry,[status(thm)],[484])).
% 8.78/9.01 tff(486,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 8.78/9.01 inference(transitivity,[status(thm)],[322, 327, 334, 373, 372, 340, 342, 345, 349, 352, 354, 164, 161, 64, 105, 246, 134, 245])).
% 8.78/9.01 tff(487,plain,
% 8.78/9.01 (multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.01 inference(monotonicity,[status(thm)],[486])).
% 8.78/9.01 tff(488,plain,
% 8.78/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))) = multiply(multiply(multiply(multiply(sk_c7, sk_c5), sk_c5), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.01 inference(symmetry,[status(thm)],[487])).
% 8.78/9.01 tff(489,plain,
% 8.78/9.01 ((~![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_c5)), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7)))))),
% 8.78/9.01 inference(quant_inst,[status(thm)],[])).
% 8.78/9.01 tff(490,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c5, sk_c7))))),
% 8.78/9.01 inference(unit_resolution,[status(thm)],[489, 21])).
% 8.78/9.01 tff(491,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(monotonicity,[status(thm)],[254])).
% 8.78/9.01 tff(492,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(symmetry,[status(thm)],[491])).
% 8.78/9.01 tff(493,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(multiply(sk_c7, sk_c5), sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(symmetry,[status(thm)],[309])).
% 8.78/9.01 tff(494,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)), sk_c7) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), multiply(sk_c7, sk_c5)), sk_c7)),
% 8.78/9.01 inference(symmetry,[status(thm)],[302])).
% 8.78/9.01 tff(495,plain,
% 8.78/9.01 (multiply(identity, sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)), sk_c7)),
% 8.78/9.01 inference(symmetry,[status(thm)],[284])).
% 8.78/9.01 tff(496,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(symmetry,[status(thm)],[251])).
% 8.78/9.01 tff(497,plain,
% 8.78/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(symmetry,[status(thm)],[250])).
% 8.78/9.01 tff(498,plain,
% 8.78/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(symmetry,[status(thm)],[244])).
% 8.78/9.01 tff(499,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 8.78/9.01 inference(symmetry,[status(thm)],[233])).
% 8.78/9.01 tff(500,plain,
% 8.78/9.01 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), sk_c7)),
% 8.78/9.01 inference(symmetry,[status(thm)],[199])).
% 8.78/9.01 tff(501,plain,
% 8.78/9.01 (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c4, sk_c7))),
% 8.78/9.01 inference(symmetry,[status(thm)],[197])).
% 8.78/9.01 tff(502,plain,
% 8.78/9.01 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), sk_c8)) = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 8.78/9.01 inference(symmetry,[status(thm)],[196])).
% 8.78/9.01 tff(503,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5)), sk_c8)),
% 8.78/9.01 inference(symmetry,[status(thm)],[192])).
% 8.78/9.01 tff(504,plain,
% 8.78/9.01 (sk_c8 = multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7))),
% 8.78/9.01 inference(transitivity,[status(thm)],[31, 26, 24, 503, 194, 502, 501, 500, 499, 235, 498, 497, 496, 440, 439, 438, 437, 495, 494, 304, 493, 492, 490, 488, 485, 482, 479, 477, 475, 463])).
% 8.78/9.01 tff(505,plain,
% 8.78/9.01 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.78/9.01 inference(monotonicity,[status(thm)],[504])).
% 8.78/9.01 tff(506,plain,
% 8.78/9.01 (multiply(sk_c4, sk_c8) = sk_c6),
% 8.78/9.01 inference(transitivity,[status(thm)],[505, 460, 457, 451, 394, 315, 311, 309, 305, 302, 284, 275, 257, 255, 252, 251, 250, 244, 236, 233, 199, 197, 196, 195, 192, 183, 158, 36, 34, 14])).
% 8.78/9.01 tff(507,plain,
% 8.78/9.01 (multiply(sk_c4, sk_c8) = sk_c7),
% 8.78/9.01 inference(modus_ponens,[status(thm)],[506, 281])).
% 8.78/9.01 tff(508,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 8.78/9.01 inference(symmetry,[status(thm)],[183])).
% 8.78/9.01 tff(509,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, sk_c4), sk_c8) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c8)),
% 8.78/9.01 inference(monotonicity,[status(thm)],[180])).
% 8.78/9.01 tff(510,plain,
% 8.78/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c8)))),
% 8.78/9.01 inference(quant_inst,[status(thm)],[])).
% 8.78/9.01 tff(511,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, sk_c4), sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c8))),
% 8.78/9.01 inference(unit_resolution,[status(thm)],[510, 21])).
% 8.78/9.01 tff(512,plain,
% 8.78/9.01 (multiply(sk_c7, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c4), sk_c8)),
% 8.78/9.01 inference(symmetry,[status(thm)],[511])).
% 8.78/9.01 tff(513,plain,
% 8.78/9.01 (sk_c8 = sk_c7),
% 8.78/9.01 inference(transitivity,[status(thm)],[31, 26, 24, 503, 194, 502, 501, 500, 499, 235, 498, 497, 496, 440, 439, 438, 437, 277])).
% 8.78/9.01 tff(514,plain,
% 8.78/9.01 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c7, multiply(sk_c4, sk_c8))),
% 8.78/9.01 inference(monotonicity,[status(thm)],[513])).
% 8.78/9.01 tff(515,plain,
% 8.78/9.01 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7),
% 8.78/9.01 inference(transitivity,[status(thm)],[514, 512, 509, 508, 503, 194, 502, 501, 500, 499, 235, 498, 497, 496, 440, 439, 438, 437, 277])).
% 8.78/9.01 tff(516,plain,
% 8.78/9.01 (inverse(sk_c4) = sk_c8),
% 8.78/9.01 inference(transitivity,[status(thm)],[71, 278, 275, 257, 255, 252, 251, 250, 244, 236, 233, 199, 197, 196, 195, 192, 23, 159, 30])).
% 8.78/9.01 tff(517,plain,
% 8.78/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)))),
% 8.78/9.01 inference(transitivity,[status(thm)],[248, 42, 247, 113, 116, 128, 102, 99, 89, 65, 356, 163, 355, 353, 350, 346, 343, 341, 339, 337, 335])).
% 8.78/9.01 tff(518,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c8)),
% 8.78/9.01 inference(monotonicity,[status(thm)],[517])).
% 8.78/9.01 tff(519,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c8)),
% 8.78/9.01 inference(symmetry,[status(thm)],[518])).
% 8.78/9.01 tff(520,plain,
% 8.78/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c8)))),
% 8.78/9.01 inference(quant_inst,[status(thm)],[])).
% 8.78/9.01 tff(521,plain,
% 8.78/9.01 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c8))),
% 8.78/9.01 inference(unit_resolution,[status(thm)],[520, 21])).
% 8.78/9.01 tff(522,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c5), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5))), sk_c8)),
% 8.78/9.01 inference(symmetry,[status(thm)],[521])).
% 8.78/9.01 tff(523,plain,
% 8.78/9.01 (multiply(multiply(sk_c7, sk_c5), sk_c8) = sk_c8),
% 8.85/9.01 inference(transitivity,[status(thm)],[23, 159, 30])).
% 8.85/9.01 tff(524,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[523])).
% 8.85/9.01 tff(525,plain,
% 8.85/9.01 ((~![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_c5)), multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c8)))),
% 8.85/9.01 inference(quant_inst,[status(thm)],[])).
% 8.85/9.01 tff(526,plain,
% 8.85/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), sk_c8))),
% 8.85/9.01 inference(unit_resolution,[status(thm)],[525, 21])).
% 8.85/9.01 tff(527,plain,
% 8.85/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c8) = sk_c6),
% 8.85/9.01 inference(transitivity,[status(thm)],[526, 524, 36, 34, 14])).
% 8.85/9.01 tff(528,plain,
% 8.85/9.01 (multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c8)) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[527])).
% 8.85/9.01 tff(529,plain,
% 8.85/9.01 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(multiply(sk_c7, sk_c5), multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c5)), sk_c8))),
% 8.85/9.01 inference(symmetry,[status(thm)],[528])).
% 8.85/9.01 tff(530,plain,
% 8.85/9.01 (multiply(multiply(sk_c7, sk_c5), sk_c6) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c6)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[182])).
% 8.85/9.01 tff(531,plain,
% 8.85/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c6) = multiply(multiply(sk_c7, sk_c5), sk_c6)),
% 8.85/9.01 inference(symmetry,[status(thm)],[530])).
% 8.85/9.01 tff(532,plain,
% 8.85/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c6)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[249])).
% 8.85/9.01 tff(533,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c6) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, sk_c5))), sk_c6)),
% 8.85/9.01 inference(symmetry,[status(thm)],[532])).
% 8.85/9.01 tff(534,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8))),
% 8.85/9.01 inference(monotonicity,[status(thm)],[82])).
% 8.85/9.01 tff(535,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c6)),
% 8.85/9.01 inference(symmetry,[status(thm)],[534])).
% 8.85/9.01 tff(536,plain,
% 8.85/9.01 ((~![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_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)))),
% 8.85/9.01 inference(quant_inst,[status(thm)],[])).
% 8.85/9.01 tff(537,plain,
% 8.85/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8))),
% 8.85/9.01 inference(unit_resolution,[status(thm)],[536, 21])).
% 8.85/9.01 tff(538,plain,
% 8.85/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.85/9.01 inference(quant_inst,[status(thm)],[])).
% 8.85/9.01 tff(539,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.85/9.01 inference(unit_resolution,[status(thm)],[538, 21])).
% 8.85/9.01 tff(540,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c5), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.85/9.01 inference(monotonicity,[status(thm)],[41])).
% 8.85/9.01 tff(541,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c5), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5))),
% 8.85/9.01 inference(symmetry,[status(thm)],[540])).
% 8.85/9.01 tff(542,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c5), multiply(identity, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.85/9.01 inference(monotonicity,[status(thm)],[223])).
% 8.85/9.01 tff(543,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c5, sk_c5), multiply(identity, multiply(sk_c7, sk_c5)))),
% 8.85/9.01 inference(symmetry,[status(thm)],[542])).
% 8.85/9.01 tff(544,plain,
% 8.85/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c5, multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))))),
% 8.85/9.01 inference(quant_inst,[status(thm)],[])).
% 8.85/9.01 tff(545,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c5, multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))))),
% 8.85/9.01 inference(unit_resolution,[status(thm)],[544, 21])).
% 8.85/9.01 tff(546,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c5, sk_c5), multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))),
% 8.85/9.01 inference(symmetry,[status(thm)],[545])).
% 8.85/9.01 tff(547,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))) = multiply(sk_c8, sk_c5)),
% 8.85/9.01 inference(transitivity,[status(thm)],[347, 135, 132, 89, 65, 55])).
% 8.85/9.01 tff(548,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7)))) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 8.85/9.01 inference(monotonicity,[status(thm)],[547])).
% 8.85/9.01 tff(549,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(sk_c8, sk_c5)) = multiply(sk_c5, multiply(sk_c5, multiply(multiply(sk_c7, multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c7))))),
% 8.85/9.01 inference(symmetry,[status(thm)],[548])).
% 8.85/9.01 tff(550,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.85/9.01 inference(transitivity,[status(thm)],[231, 228, 227, 224, 221, 219, 549, 546, 543, 541, 539])).
% 8.85/9.01 tff(551,plain,
% 8.85/9.01 (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[550])).
% 8.85/9.01 tff(552,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8)),
% 8.85/9.01 inference(symmetry,[status(thm)],[551])).
% 8.85/9.01 tff(553,plain,
% 8.85/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8) = multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)))),
% 8.85/9.01 inference(quant_inst,[status(thm)],[])).
% 8.85/9.01 tff(554,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8) = multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8))),
% 8.85/9.01 inference(unit_resolution,[status(thm)],[553, 21])).
% 8.85/9.01 tff(555,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c8)),
% 8.85/9.01 inference(symmetry,[status(thm)],[554])).
% 8.85/9.01 tff(556,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8) = sk_c6),
% 8.85/9.01 inference(transitivity,[status(thm)],[36, 34, 14])).
% 8.85/9.01 tff(557,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8)) = multiply(sk_c5, sk_c6)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[556])).
% 8.85/9.01 tff(558,plain,
% 8.85/9.01 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c8))),
% 8.85/9.01 inference(symmetry,[status(thm)],[557])).
% 8.85/9.01 tff(559,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c6)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6)),
% 8.85/9.01 inference(symmetry,[status(thm)],[288])).
% 8.85/9.01 tff(560,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c7), sk_c6))),
% 8.85/9.01 inference(symmetry,[status(thm)],[286])).
% 8.85/9.01 tff(561,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 8.85/9.01 inference(symmetry,[status(thm)],[97])).
% 8.85/9.01 tff(562,plain,
% 8.85/9.01 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 8.85/9.01 inference(symmetry,[status(thm)],[95])).
% 8.85/9.01 tff(563,plain,
% 8.85/9.01 (sk_c6 = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6)),
% 8.85/9.01 inference(transitivity,[status(thm)],[25, 562, 561, 560, 559])).
% 8.85/9.01 tff(564,plain,
% 8.85/9.01 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6))),
% 8.85/9.01 inference(monotonicity,[status(thm)],[563])).
% 8.85/9.01 tff(565,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6)) = multiply(sk_c5, sk_c6)),
% 8.85/9.01 inference(symmetry,[status(thm)],[564])).
% 8.85/9.01 tff(566,plain,
% 8.85/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c6) = multiply(sk_c5, multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6)))),
% 8.85/9.01 inference(quant_inst,[status(thm)],[])).
% 8.85/9.01 tff(567,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c6) = multiply(sk_c5, multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)), sk_c6))),
% 8.85/9.01 inference(unit_resolution,[status(thm)],[566, 21])).
% 8.85/9.01 tff(568,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, sk_c5), multiply(sk_c7, sk_c5))),
% 8.85/9.01 inference(symmetry,[status(thm)],[539])).
% 8.85/9.01 tff(569,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, sk_c7), sk_c4)),
% 8.85/9.01 inference(transitivity,[status(thm)],[568, 540, 542, 545, 548, 76, 48])).
% 8.85/9.01 tff(570,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), sk_c7)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[569])).
% 8.85/9.01 tff(571,plain,
% 8.85/9.01 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)))),
% 8.85/9.01 inference(quant_inst,[status(thm)],[])).
% 8.85/9.01 tff(572,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7) = multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7))),
% 8.85/9.01 inference(unit_resolution,[status(thm)],[571, 21])).
% 8.85/9.01 tff(573,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 8.85/9.01 inference(symmetry,[status(thm)],[572])).
% 8.85/9.01 tff(574,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7))),
% 8.85/9.01 inference(monotonicity,[status(thm)],[243])).
% 8.85/9.01 tff(575,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))) = sk_c8),
% 8.85/9.01 inference(transitivity,[status(thm)],[574, 573, 570, 199, 197, 196, 195, 192, 23, 159, 30])).
% 8.85/9.01 tff(576,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 8.85/9.01 inference(monotonicity,[status(thm)],[575, 25])).
% 8.85/9.01 tff(577,plain,
% 8.85/9.01 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c6)),
% 8.85/9.01 inference(symmetry,[status(thm)],[576])).
% 8.85/9.01 tff(578,plain,
% 8.85/9.01 (multiply(sk_c5, sk_c8) = sk_c8),
% 8.85/9.01 inference(transitivity,[status(thm)],[33, 81, 157, 508, 23, 159, 30])).
% 8.85/9.01 tff(579,plain,
% 8.85/9.01 (multiply(sk_c5, multiply(multiply(sk_c5, multiply(sk_c7, sk_c5)), sk_c7)) = multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.85/9.01 inference(symmetry,[status(thm)],[574])).
% 8.85/9.01 tff(580,plain,
% 8.85/9.01 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c4), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c5, multiply(sk_c7, sk_c5))), sk_c7)),
% 8.85/9.01 inference(symmetry,[status(thm)],[570])).
% 8.85/9.01 tff(581,plain,
% 8.85/9.01 (sk_c8 = multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7)))),
% 8.85/9.01 inference(transitivity,[status(thm)],[31, 26, 24, 503, 194, 502, 501, 500, 580, 572, 579])).
% 8.85/9.01 tff(582,plain,
% 8.85/9.01 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c8)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[581, 578])).
% 8.85/9.01 tff(583,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 8.85/9.01 inference(symmetry,[status(thm)],[582])).
% 8.85/9.01 tff(584,plain,
% 8.85/9.01 (multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c8) = multiply(sk_c8, sk_c7)),
% 8.85/9.01 inference(monotonicity,[status(thm)],[575, 513])).
% 8.85/9.01 tff(585,plain,
% 8.85/9.01 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c7))), sk_c8)),
% 8.85/9.01 inference(symmetry,[status(thm)],[584])).
% 8.85/9.01 tff(586,plain,
% 8.85/9.01 (multiply(sk_c8, sk_c7) = sk_c6),
% 8.85/9.01 inference(transitivity,[status(thm)],[585, 583, 577, 567, 565, 558, 555, 552, 537, 535, 533, 531, 529, 522, 519, 158, 36, 34, 14])).
% 8.85/9.01 tff(587,plain,
% 8.85/9.01 (^[X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))))),
% 8.85/9.01 inference(bind,[status(th)],[])).
% 8.85/9.01 tff(588,plain,
% 8.85/9.01 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.01 inference(quant_intro,[status(thm)],[587])).
% 8.85/9.01 tff(589,plain,
% 8.85/9.01 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.02 inference(rewrite,[status(thm)],[])).
% 8.85/9.02 tff(590,plain,
% 8.85/9.02 (^[X3: $i, X2: $i, X5: $i, X1: $i] : rewrite(((~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))))),
% 8.85/9.02 inference(bind,[status(th)],[])).
% 8.85/9.02 tff(591,plain,
% 8.85/9.02 (![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_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c8))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.02 inference(quant_intro,[status(thm)],[590])).
% 8.85/9.02 tff(592,plain,
% 8.85/9.02 (![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_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c8))) <=> ![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_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c8)))),
% 8.85/9.02 inference(elim_unused_vars,[status(thm)],[])).
% 8.85/9.02 tff(593,plain,
% 8.85/9.02 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c8)))),
% 8.85/9.02 inference(destructive_equality_resolution,[status(thm)],[])).
% 8.85/9.02 tff(594,plain,
% 8.85/9.02 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) <=> ![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_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c8)))),
% 8.85/9.02 inference(transitivity,[status(thm)],[593, 592])).
% 8.85/9.02 tff(595,plain,
% 8.85/9.02 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.02 inference(transitivity,[status(thm)],[594, 591])).
% 8.85/9.02 tff(596,plain,
% 8.85/9.02 (^[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(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(sk_c8, X4) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X5) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(sk_c7, sk_c6) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(sk_c7) = sk_c6))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(sk_c7) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X2) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))))),
% 8.85/9.02 inference(bind,[status(th)],[])).
% 8.85/9.02 tff(597,plain,
% 8.85/9.02 (![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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)))),
% 8.85/9.02 inference(quant_intro,[status(thm)],[596])).
% 8.85/9.02 tff(598,plain,
% 8.85/9.02 (![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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.02 inference(transitivity,[status(thm)],[597, 595])).
% 8.85/9.02 tff(599,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(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c7) = sk_c6))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_37')).
% 8.85/9.02 tff(600,plain,
% 8.85/9.02 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.02 inference(modus_ponens,[status(thm)],[599, 598])).
% 8.85/9.02 tff(601,plain,
% 8.85/9.02 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[600, 589])).
% 8.85/9.03 tff(602,plain,(
% 8.85/9.03 ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.03 inference(skolemize,[status(sab)],[601])).
% 8.85/9.03 tff(603,plain,
% 8.85/9.03 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[602, 588])).
% 8.85/9.03 tff(604,plain,
% 8.85/9.03 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(605,plain,
% 8.85/9.03 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(606,plain,
% 8.85/9.03 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7))))),
% 8.85/9.03 inference(monotonicity,[status(thm)],[605])).
% 8.85/9.03 tff(607,plain,
% 8.85/9.03 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))),
% 8.85/9.03 inference(transitivity,[status(thm)],[606, 604])).
% 8.85/9.03 tff(608,plain,
% 8.85/9.03 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))),
% 8.85/9.03 inference(quant_inst,[status(thm)],[])).
% 8.85/9.03 tff(609,plain,
% 8.85/9.03 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7))),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[608, 607])).
% 8.85/9.03 tff(610,plain,
% 8.85/9.03 ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7))),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[609, 30, 93, 121, 71, 603])).
% 8.85/9.03 tff(611,plain,
% 8.85/9.03 ($false),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[610, 586, 516, 515, 506, 507])).
% 8.85/9.03 tff(612,plain,(inverse(sk_c2) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 8.85/9.03 tff(613,plain,
% 8.85/9.03 (sk_c8 = inverse(sk_c2)),
% 8.85/9.03 inference(symmetry,[status(thm)],[612])).
% 8.85/9.03 tff(614,plain,
% 8.85/9.03 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[613])).
% 8.85/9.03 tff(615,plain,
% 8.85/9.03 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 8.85/9.03 inference(symmetry,[status(thm)],[614])).
% 8.85/9.03 tff(616,plain,
% 8.85/9.03 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 8.85/9.03 inference(quant_inst,[status(thm)],[])).
% 8.85/9.03 tff(617,plain,
% 8.85/9.03 (multiply(inverse(sk_c2), sk_c2) = identity),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[616, 62])).
% 8.85/9.03 tff(618,plain,
% 8.85/9.03 (identity = multiply(inverse(sk_c2), sk_c2)),
% 8.85/9.03 inference(symmetry,[status(thm)],[617])).
% 8.85/9.03 tff(619,plain,
% 8.85/9.03 (identity = multiply(sk_c8, sk_c2)),
% 8.85/9.03 inference(transitivity,[status(thm)],[618, 615])).
% 8.85/9.03 tff(620,plain,
% 8.85/9.03 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[619])).
% 8.85/9.03 tff(621,plain,
% 8.85/9.03 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 8.85/9.03 inference(symmetry,[status(thm)],[620])).
% 8.85/9.03 tff(622,assumption,(~(multiply(sk_c8, sk_c7) = sk_c6)), introduced(assumption)).
% 8.85/9.03 tff(623,plain,
% 8.85/9.03 (((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(624,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 8.85/9.03 tff(625,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[624, 623])).
% 8.85/9.03 tff(626,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[625, 623])).
% 8.85/9.03 tff(627,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[626, 623])).
% 8.85/9.03 tff(628,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[627, 623])).
% 8.85/9.03 tff(629,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[628, 623])).
% 8.85/9.03 tff(630,plain,
% 8.85/9.03 (multiply(sk_c5, sk_c8) = sk_c6),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[629, 622])).
% 8.85/9.03 tff(631,plain,
% 8.85/9.03 (((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(632,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 8.85/9.03 tff(633,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[632, 631])).
% 8.85/9.03 tff(634,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[633, 631])).
% 8.85/9.03 tff(635,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[634, 631])).
% 8.85/9.03 tff(636,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[635, 631])).
% 8.85/9.03 tff(637,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[636, 631])).
% 8.85/9.03 tff(638,plain,
% 8.85/9.03 (multiply(sk_c7, sk_c6) = sk_c8),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[637, 622])).
% 8.85/9.03 tff(639,plain,
% 8.85/9.03 (sk_c8 = multiply(sk_c7, sk_c6)),
% 8.85/9.03 inference(symmetry,[status(thm)],[638])).
% 8.85/9.03 tff(640,plain,
% 8.85/9.03 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 8.85/9.03 inference(monotonicity,[status(thm)],[639])).
% 8.85/9.03 tff(641,plain,
% 8.85/9.03 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c5, sk_c8)),
% 8.85/9.03 inference(symmetry,[status(thm)],[640])).
% 8.85/9.03 tff(642,plain,
% 8.85/9.03 (multiply(sk_c5, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c5, sk_c4), sk_c7)),
% 8.85/9.03 inference(symmetry,[status(thm)],[206])).
% 8.85/9.03 tff(643,plain,
% 8.85/9.03 (((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))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(644,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')).
% 8.85/9.03 tff(645,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[644, 643])).
% 8.85/9.03 tff(646,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[645, 643])).
% 8.85/9.03 tff(647,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[646, 643])).
% 8.85/9.03 tff(648,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[647, 643])).
% 8.85/9.03 tff(649,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[648, 643])).
% 8.85/9.03 tff(650,plain,
% 8.85/9.03 (multiply(sk_c4, sk_c7) = sk_c8),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[649, 622])).
% 8.85/9.03 tff(651,plain,
% 8.85/9.03 (multiply(sk_c5, multiply(sk_c4, sk_c7)) = multiply(sk_c5, sk_c8)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[650])).
% 8.85/9.03 tff(652,plain,
% 8.85/9.03 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c4, sk_c7))),
% 8.85/9.03 inference(symmetry,[status(thm)],[651])).
% 8.85/9.03 tff(653,plain,
% 8.85/9.03 (sk_c6 = multiply(sk_c5, sk_c8)),
% 8.85/9.03 inference(symmetry,[status(thm)],[630])).
% 8.85/9.03 tff(654,plain,
% 8.85/9.03 (sk_c6 = multiply(multiply(sk_c5, sk_c4), sk_c7)),
% 8.85/9.03 inference(transitivity,[status(thm)],[653, 652, 642])).
% 8.85/9.03 tff(655,plain,
% 8.85/9.03 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c4), sk_c7))),
% 8.85/9.03 inference(monotonicity,[status(thm)],[654])).
% 8.85/9.03 tff(656,plain,
% 8.85/9.03 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c4), sk_c7)) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 8.85/9.03 inference(symmetry,[status(thm)],[655])).
% 8.85/9.03 tff(657,plain,
% 8.85/9.03 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c4), sk_c7)))),
% 8.85/9.03 inference(quant_inst,[status(thm)],[])).
% 8.85/9.03 tff(658,plain,
% 8.85/9.03 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c4), sk_c7))),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[657, 21])).
% 8.85/9.03 tff(659,plain,
% 8.85/9.03 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), multiply(identity, sk_c7))),
% 8.85/9.03 inference(monotonicity,[status(thm)],[278])).
% 8.85/9.03 tff(660,plain,
% 8.85/9.03 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), multiply(identity, sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), sk_c7)),
% 8.85/9.03 inference(symmetry,[status(thm)],[659])).
% 8.85/9.03 tff(661,plain,
% 8.85/9.03 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), identity), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), multiply(identity, sk_c7)))),
% 8.85/9.03 inference(quant_inst,[status(thm)],[])).
% 8.85/9.03 tff(662,plain,
% 8.85/9.03 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), identity), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), multiply(identity, sk_c7))),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[661, 21])).
% 8.85/9.03 tff(663,plain,
% 8.85/9.03 (((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(664,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 8.85/9.03 tff(665,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[664, 663])).
% 8.85/9.03 tff(666,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[665, 663])).
% 8.85/9.03 tff(667,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[666, 663])).
% 8.85/9.03 tff(668,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[667, 663])).
% 8.85/9.03 tff(669,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c7) = sk_c6)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[668, 663])).
% 8.85/9.03 tff(670,plain,
% 8.85/9.03 (inverse(sk_c7) = sk_c6),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[669, 622])).
% 8.85/9.03 tff(671,plain,
% 8.85/9.03 (sk_c6 = inverse(sk_c7)),
% 8.85/9.03 inference(symmetry,[status(thm)],[670])).
% 8.85/9.03 tff(672,plain,
% 8.85/9.03 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[671])).
% 8.85/9.03 tff(673,plain,
% 8.85/9.03 (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(sk_c6, sk_c7)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[630])).
% 8.85/9.03 tff(674,plain,
% 8.85/9.03 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[639])).
% 8.85/9.03 tff(675,plain,
% 8.85/9.03 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.85/9.03 inference(symmetry,[status(thm)],[674])).
% 8.85/9.03 tff(676,plain,
% 8.85/9.03 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c2) = multiply(sk_c4, multiply(sk_c7, sk_c2)))),
% 8.85/9.03 inference(quant_inst,[status(thm)],[])).
% 8.85/9.03 tff(677,plain,
% 8.85/9.03 (multiply(multiply(sk_c4, sk_c7), sk_c2) = multiply(sk_c4, multiply(sk_c7, sk_c2))),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[676, 21])).
% 8.85/9.03 tff(678,plain,
% 8.85/9.03 (multiply(sk_c4, sk_c7) = inverse(sk_c2)),
% 8.85/9.03 inference(transitivity,[status(thm)],[650, 613])).
% 8.85/9.03 tff(679,plain,
% 8.85/9.03 (multiply(multiply(sk_c4, sk_c7), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[678])).
% 8.85/9.03 tff(680,plain,
% 8.85/9.03 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c4, sk_c7), sk_c2)),
% 8.85/9.03 inference(symmetry,[status(thm)],[679])).
% 8.85/9.03 tff(681,plain,
% 8.85/9.03 (multiply(sk_c6, sk_c7) = multiply(sk_c4, multiply(sk_c7, sk_c2))),
% 8.85/9.03 inference(transitivity,[status(thm)],[672, 89, 618, 680, 677])).
% 8.85/9.03 tff(682,plain,
% 8.85/9.03 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c2)))),
% 8.85/9.03 inference(monotonicity,[status(thm)],[681])).
% 8.85/9.03 tff(683,plain,
% 8.85/9.03 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c2))) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.85/9.03 inference(symmetry,[status(thm)],[682])).
% 8.85/9.03 tff(684,plain,
% 8.85/9.03 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c2))))),
% 8.85/9.03 inference(quant_inst,[status(thm)],[])).
% 8.85/9.03 tff(685,plain,
% 8.85/9.03 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c2)))),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[684, 21])).
% 8.85/9.03 tff(686,plain,
% 8.85/9.03 (((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(687,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 8.85/9.03 tff(688,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[687, 686])).
% 8.85/9.03 tff(689,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[688, 686])).
% 8.85/9.03 tff(690,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[689, 686])).
% 8.85/9.03 tff(691,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[690, 686])).
% 8.85/9.03 tff(692,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[691, 686])).
% 8.85/9.03 tff(693,plain,
% 8.85/9.03 (inverse(sk_c5) = sk_c8),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[692, 622])).
% 8.85/9.03 tff(694,plain,
% 8.85/9.03 (sk_c8 = inverse(sk_c5)),
% 8.85/9.03 inference(symmetry,[status(thm)],[693])).
% 8.85/9.03 tff(695,plain,
% 8.85/9.03 (multiply(sk_c4, sk_c7) = inverse(sk_c5)),
% 8.85/9.03 inference(transitivity,[status(thm)],[650, 694])).
% 8.85/9.03 tff(696,plain,
% 8.85/9.03 (multiply(multiply(sk_c4, sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[695])).
% 8.85/9.03 tff(697,plain,
% 8.85/9.03 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c4, sk_c7), sk_c5)),
% 8.85/9.03 inference(symmetry,[status(thm)],[696])).
% 8.85/9.03 tff(698,plain,
% 8.85/9.03 (((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)) <=> ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7))),
% 8.85/9.03 inference(rewrite,[status(thm)],[])).
% 8.85/9.03 tff(699,axiom,((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 8.85/9.03 tff(700,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[699, 698])).
% 8.85/9.03 tff(701,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[700, 698])).
% 8.85/9.03 tff(702,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[701, 698])).
% 8.85/9.03 tff(703,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[702, 698])).
% 8.85/9.03 tff(704,plain,
% 8.85/9.03 ((multiply(sk_c8, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c7)),
% 8.85/9.03 inference(modus_ponens,[status(thm)],[703, 698])).
% 8.85/9.03 tff(705,plain,
% 8.85/9.03 (inverse(sk_c4) = sk_c7),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[704, 622])).
% 8.85/9.03 tff(706,plain,
% 8.85/9.03 (sk_c7 = inverse(sk_c4)),
% 8.85/9.03 inference(symmetry,[status(thm)],[705])).
% 8.85/9.03 tff(707,plain,
% 8.85/9.03 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 8.85/9.03 inference(monotonicity,[status(thm)],[706])).
% 8.85/9.03 tff(708,plain,
% 8.85/9.03 (multiply(sk_c7, sk_c4) = multiply(sk_c4, multiply(sk_c7, sk_c5))),
% 8.85/9.03 inference(transitivity,[status(thm)],[707, 67, 65, 697, 125])).
% 8.85/9.03 tff(709,plain,
% 8.85/9.03 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c2))),
% 8.85/9.03 inference(monotonicity,[status(thm)],[708])).
% 8.85/9.03 tff(710,plain,
% 8.85/9.03 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2))),
% 8.85/9.03 inference(symmetry,[status(thm)],[709])).
% 8.85/9.03 tff(711,plain,
% 8.85/9.03 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c2)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c2))))),
% 8.85/9.03 inference(quant_inst,[status(thm)],[])).
% 8.85/9.03 tff(712,plain,
% 8.85/9.03 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c2)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c2)))),
% 8.85/9.03 inference(unit_resolution,[status(thm)],[711, 21])).
% 8.85/9.03 tff(713,plain,
% 8.85/9.03 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c2))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c5)), multiply(sk_c7, sk_c2))),
% 8.85/9.03 inference(symmetry,[status(thm)],[712])).
% 8.85/9.03 tff(714,plain,
% 8.85/9.03 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, sk_c2)) = multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(715,plain,
% 8.85/9.04 (multiply(identity, multiply(sk_c7, sk_c2)) = multiply(sk_c7, sk_c2)),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[714, 7])).
% 8.85/9.04 tff(716,plain,
% 8.85/9.04 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 8.85/9.04 inference(symmetry,[status(thm)],[707])).
% 8.85/9.04 tff(717,plain,
% 8.85/9.04 (identity = multiply(sk_c7, sk_c4)),
% 8.85/9.04 inference(transitivity,[status(thm)],[151, 716])).
% 8.85/9.04 tff(718,plain,
% 8.85/9.04 (multiply(identity, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[717])).
% 8.85/9.04 tff(719,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2)) = multiply(identity, multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(symmetry,[status(thm)],[718])).
% 8.85/9.04 tff(720,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c2))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(symmetry,[status(thm)],[685])).
% 8.85/9.04 tff(721,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(sk_c7, sk_c6)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[630])).
% 8.85/9.04 tff(722,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c5), sk_c8) = sk_c8),
% 8.85/9.04 inference(transitivity,[status(thm)],[23, 721, 638])).
% 8.85/9.04 tff(723,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[722])).
% 8.85/9.04 tff(724,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c7)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(725,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c7))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[724, 21])).
% 8.85/9.04 tff(726,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[725])).
% 8.85/9.04 tff(727,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c2) = multiply(identity, multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(symmetry,[status(thm)],[715])).
% 8.85/9.04 tff(728,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c2) = multiply(sk_c8, sk_c7)),
% 8.85/9.04 inference(transitivity,[status(thm)],[727, 718, 685, 683, 140, 675])).
% 8.85/9.04 tff(729,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[728])).
% 8.85/9.04 tff(730,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c2)) = multiply(sk_c7, sk_c2)),
% 8.85/9.04 inference(transitivity,[status(thm)],[729, 726, 723, 674, 139, 682, 720, 719, 715])).
% 8.85/9.04 tff(731,plain,
% 8.85/9.04 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c2))) = multiply(sk_c4, multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[730])).
% 8.85/9.04 tff(732,plain,
% 8.85/9.04 (multiply(sk_c4, multiply(sk_c7, sk_c2)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c2)))),
% 8.85/9.04 inference(symmetry,[status(thm)],[731])).
% 8.85/9.04 tff(733,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c2) = multiply(sk_c8, sk_c7)),
% 8.85/9.04 inference(transitivity,[status(thm)],[614, 680, 677, 732, 713, 710, 685, 683, 140, 675])).
% 8.85/9.04 tff(734,plain,
% 8.85/9.04 (multiply(sk_c5, multiply(sk_c8, sk_c2)) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[733])).
% 8.85/9.04 tff(735,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c2) = multiply(sk_c5, multiply(sk_c8, sk_c2)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(736,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c8), sk_c2) = multiply(sk_c5, multiply(sk_c8, sk_c2))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[735, 21])).
% 8.85/9.04 tff(737,plain,
% 8.85/9.04 (multiply(sk_c6, sk_c2) = multiply(multiply(sk_c5, sk_c8), sk_c2)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[653])).
% 8.85/9.04 tff(738,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c7), sk_c6) = sk_c6),
% 8.85/9.04 inference(transitivity,[status(thm)],[97, 641, 630])).
% 8.85/9.04 tff(739,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[738])).
% 8.85/9.04 tff(740,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c2) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c2)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(741,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c2) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c2))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[740, 21])).
% 8.85/9.04 tff(742,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c2)),
% 8.85/9.04 inference(symmetry,[status(thm)],[741])).
% 8.85/9.04 tff(743,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c4), sk_c7) = sk_c6),
% 8.85/9.04 inference(transitivity,[status(thm)],[206, 651, 630])).
% 8.85/9.04 tff(744,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[743])).
% 8.85/9.04 tff(745,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c2) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c2)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(746,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c2) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[745, 21])).
% 8.85/9.04 tff(747,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c5, sk_c4), sk_c7), sk_c2)),
% 8.85/9.04 inference(symmetry,[status(thm)],[746])).
% 8.85/9.04 tff(748,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c2)) = multiply(sk_c6, sk_c2)),
% 8.85/9.04 inference(transitivity,[status(thm)],[747, 744])).
% 8.85/9.04 tff(749,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c2))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c2))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[748])).
% 8.85/9.04 tff(750,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c2))))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(751,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c5, sk_c4), multiply(sk_c7, sk_c2)))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[750, 21])).
% 8.85/9.04 tff(752,plain,
% 8.85/9.04 (identity = multiply(sk_c7, sk_c2)),
% 8.85/9.04 inference(transitivity,[status(thm)],[618, 680, 677, 732, 713, 710, 719, 715])).
% 8.85/9.04 tff(753,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), identity) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[752])).
% 8.85/9.04 tff(754,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), identity) = identity),
% 8.85/9.04 inference(transitivity,[status(thm)],[753, 751, 749, 742, 739, 737, 736, 734, 135, 673, 672, 89])).
% 8.85/9.04 tff(755,plain,
% 8.85/9.04 (multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), identity), sk_c7) = multiply(identity, multiply(identity, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[754, 278])).
% 8.85/9.04 tff(756,plain,
% 8.85/9.04 (multiply(identity, multiply(identity, sk_c7)) = multiply(multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c5, sk_c4)), identity), sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[755])).
% 8.85/9.04 tff(757,plain,
% 8.85/9.04 (multiply(identity, multiply(identity, sk_c7)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[717, 277])).
% 8.85/9.04 tff(758,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(identity, multiply(identity, sk_c7))),
% 8.85/9.04 inference(symmetry,[status(thm)],[757])).
% 8.85/9.04 tff(759,plain,
% 8.85/9.04 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[672])).
% 8.85/9.04 tff(760,plain,
% 8.85/9.04 (identity = multiply(sk_c6, sk_c7)),
% 8.85/9.04 inference(transitivity,[status(thm)],[105, 759])).
% 8.85/9.04 tff(761,plain,
% 8.85/9.04 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[760])).
% 8.85/9.04 tff(762,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, identity)),
% 8.85/9.04 inference(symmetry,[status(thm)],[761])).
% 8.85/9.04 tff(763,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c4) = multiply(sk_c7, identity)),
% 8.85/9.04 inference(transitivity,[status(thm)],[707, 67, 618, 680, 677, 732, 713, 710, 685, 683, 762])).
% 8.85/9.04 tff(764,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, identity), sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[763])).
% 8.85/9.04 tff(765,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, identity), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[764])).
% 8.85/9.04 tff(766,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c7) = multiply(sk_c7, multiply(identity, sk_c7)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(767,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, identity), sk_c7) = multiply(sk_c7, multiply(identity, sk_c7))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[766, 21])).
% 8.85/9.04 tff(768,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(identity, sk_c7)) = multiply(multiply(sk_c7, identity), sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[767])).
% 8.85/9.04 tff(769,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(identity, sk_c7)) = multiply(sk_c7, sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[277])).
% 8.85/9.04 tff(770,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(identity, sk_c7))),
% 8.85/9.04 inference(symmetry,[status(thm)],[769])).
% 8.85/9.04 tff(771,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c6) = multiply(sk_c7, multiply(sk_c7, sk_c6)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(772,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c7), sk_c6) = multiply(sk_c7, multiply(sk_c7, sk_c6))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[771, 21])).
% 8.85/9.04 tff(773,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c7), sk_c6)),
% 8.85/9.04 inference(symmetry,[status(thm)],[772])).
% 8.85/9.04 tff(774,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c7, sk_c6)) = multiply(sk_c7, sk_c8)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[638])).
% 8.85/9.04 tff(775,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c6))),
% 8.85/9.04 inference(symmetry,[status(thm)],[774])).
% 8.85/9.04 tff(776,plain,
% 8.85/9.04 (sk_c8 = multiply(sk_c4, sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[650])).
% 8.85/9.04 tff(777,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[776])).
% 8.85/9.04 tff(778,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c8)),
% 8.85/9.04 inference(symmetry,[status(thm)],[777])).
% 8.85/9.04 tff(779,plain,
% 8.85/9.04 ((~![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)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(780,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[779, 21])).
% 8.85/9.04 tff(781,plain,
% 8.85/9.04 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[717])).
% 8.85/9.04 tff(782,plain,
% 8.85/9.04 (sk_c7 = multiply(multiply(sk_c7, sk_c7), sk_c6)),
% 8.85/9.04 inference(transitivity,[status(thm)],[278, 781, 780, 778, 775, 773])).
% 8.85/9.04 tff(783,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c6), sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[782])).
% 8.85/9.04 tff(784,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c7, sk_c7), sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[783])).
% 8.85/9.04 tff(785,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c7)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(786,plain,
% 8.85/9.04 (multiply(multiply(multiply(sk_c7, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c7))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[785, 21])).
% 8.85/9.04 tff(787,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c6), sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[786])).
% 8.85/9.04 tff(788,plain,
% 8.85/9.04 (multiply(sk_c6, sk_c7) = multiply(sk_c7, sk_c2)),
% 8.85/9.04 inference(transitivity,[status(thm)],[672, 89, 618, 680, 677, 732, 713, 710, 719, 715])).
% 8.85/9.04 tff(789,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[788])).
% 8.85/9.04 tff(790,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c7))),
% 8.85/9.04 inference(symmetry,[status(thm)],[789])).
% 8.85/9.04 tff(791,plain,
% 8.85/9.04 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c5, sk_c8), sk_c5)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[653])).
% 8.85/9.04 tff(792,plain,
% 8.85/9.04 (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c6, sk_c5)),
% 8.85/9.04 inference(symmetry,[status(thm)],[791])).
% 8.85/9.04 tff(793,plain,
% 8.85/9.04 (multiply(sk_c5, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c5, sk_c8), sk_c5)),
% 8.85/9.04 inference(symmetry,[status(thm)],[78])).
% 8.85/9.04 tff(794,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[694])).
% 8.85/9.04 tff(795,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c2)),
% 8.85/9.04 inference(transitivity,[status(thm)],[794, 64, 618, 615])).
% 8.85/9.04 tff(796,plain,
% 8.85/9.04 (multiply(sk_c5, multiply(sk_c8, sk_c5)) = multiply(sk_c5, multiply(sk_c8, sk_c2))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[795])).
% 8.85/9.04 tff(797,plain,
% 8.85/9.04 (multiply(sk_c5, multiply(sk_c8, sk_c2)) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 8.85/9.04 inference(symmetry,[status(thm)],[796])).
% 8.85/9.04 tff(798,plain,
% 8.85/9.04 (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c5, multiply(sk_c8, sk_c2))),
% 8.85/9.04 inference(symmetry,[status(thm)],[734])).
% 8.85/9.04 tff(799,plain,
% 8.85/9.04 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[673])).
% 8.85/9.04 tff(800,plain,
% 8.85/9.04 (multiply(sk_c4, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c4, sk_c7), sk_c2)),
% 8.85/9.04 inference(symmetry,[status(thm)],[677])).
% 8.85/9.04 tff(801,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c2) = multiply(sk_c6, sk_c5)),
% 8.85/9.04 inference(transitivity,[status(thm)],[727, 718, 709, 712, 731, 800, 679, 617, 105, 759, 799, 134, 798, 797, 793, 792])).
% 8.85/9.04 tff(802,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c5))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[801])).
% 8.85/9.04 tff(803,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, sk_c2))),
% 8.85/9.04 inference(symmetry,[status(thm)],[802])).
% 8.85/9.04 tff(804,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c5)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(805,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c5)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[804, 21])).
% 8.85/9.04 tff(806,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, sk_c5))),
% 8.85/9.04 inference(symmetry,[status(thm)],[805])).
% 8.85/9.04 tff(807,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c6) = inverse(sk_c5)),
% 8.85/9.04 inference(transitivity,[status(thm)],[638, 694])).
% 8.85/9.04 tff(808,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[807])).
% 8.85/9.04 tff(809,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(810,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[809, 21])).
% 8.85/9.04 tff(811,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c7, sk_c6), sk_c5)),
% 8.85/9.04 inference(symmetry,[status(thm)],[810])).
% 8.85/9.04 tff(812,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c6, sk_c5)) = multiply(sk_c6, sk_c7)),
% 8.85/9.04 inference(transitivity,[status(thm)],[811, 808, 64, 105, 759])).
% 8.85/9.04 tff(813,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[812])).
% 8.85/9.04 tff(814,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 8.85/9.04 inference(symmetry,[status(thm)],[813])).
% 8.85/9.04 tff(815,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c7) = sk_c6),
% 8.85/9.04 inference(transitivity,[status(thm)],[674, 139, 814, 806, 803, 790, 787, 784, 770, 768, 765, 758, 756, 662, 660, 658, 656, 97, 641, 630])).
% 8.85/9.04 tff(816,plain,
% 8.85/9.04 ($false),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[622, 815])).
% 8.85/9.04 tff(817,plain,(multiply(sk_c8, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 8.85/9.04 tff(818,assumption,(~(inverse(sk_c1) = sk_c8)), introduced(assumption)).
% 8.85/9.04 tff(819,plain,
% 8.85/9.04 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(820,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 8.85/9.04 tff(821,plain,
% 8.85/9.04 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[820, 819])).
% 8.85/9.04 tff(822,plain,
% 8.85/9.04 (multiply(sk_c4, sk_c7) = sk_c8),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[821, 818])).
% 8.85/9.04 tff(823,plain,
% 8.85/9.04 (multiply(multiply(sk_c4, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[822])).
% 8.85/9.04 tff(824,plain,
% 8.85/9.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(sk_c7, sk_c7))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(825,plain,
% 8.85/9.04 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(sk_c7, sk_c7)),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[824, 7])).
% 8.85/9.04 tff(826,plain,
% 8.85/9.04 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c7))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(827,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 8.85/9.04 tff(828,plain,
% 8.85/9.04 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[827, 826])).
% 8.85/9.04 tff(829,plain,
% 8.85/9.04 (inverse(sk_c4) = sk_c7),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[828, 818])).
% 8.85/9.04 tff(830,plain,
% 8.85/9.04 (sk_c7 = inverse(sk_c4)),
% 8.85/9.04 inference(symmetry,[status(thm)],[829])).
% 8.85/9.04 tff(831,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[830])).
% 8.85/9.04 tff(832,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c4) = identity),
% 8.85/9.04 inference(transitivity,[status(thm)],[831, 67])).
% 8.85/9.04 tff(833,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c7, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[832])).
% 8.85/9.04 tff(834,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(835,plain,
% 8.85/9.04 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[834, 21])).
% 8.85/9.04 tff(836,plain,
% 8.85/9.04 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7))),
% 8.85/9.04 inference(symmetry,[status(thm)],[835])).
% 8.85/9.04 tff(837,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c4, sk_c7), sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[823])).
% 8.85/9.04 tff(838,plain,
% 8.85/9.04 (sk_c6 = multiply(sk_c8, sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[817])).
% 8.85/9.04 tff(839,plain,
% 8.85/9.04 (sk_c6 = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 8.85/9.04 inference(transitivity,[status(thm)],[838, 837, 454])).
% 8.85/9.04 tff(840,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7)))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[839])).
% 8.85/9.04 tff(841,plain,
% 8.85/9.04 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(842,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 8.85/9.04 tff(843,plain,
% 8.85/9.04 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[842, 841])).
% 8.85/9.04 tff(844,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c6) = sk_c8),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[843, 818])).
% 8.85/9.04 tff(845,plain,
% 8.85/9.04 (sk_c8 = multiply(sk_c7, sk_c6)),
% 8.85/9.04 inference(symmetry,[status(thm)],[844])).
% 8.85/9.04 tff(846,plain,
% 8.85/9.04 (sk_c8 = multiply(sk_c7, sk_c7)),
% 8.85/9.04 inference(transitivity,[status(thm)],[845, 840, 836, 833, 825])).
% 8.85/9.04 tff(847,plain,
% 8.85/9.04 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c7, sk_c7))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[846])).
% 8.85/9.04 tff(848,plain,
% 8.85/9.04 (multiply(sk_c4, sk_c8) = sk_c6),
% 8.85/9.04 inference(transitivity,[status(thm)],[847, 455, 823, 817])).
% 8.85/9.04 tff(849,assumption,(~(inverse(sk_c7) = sk_c6)), introduced(assumption)).
% 8.85/9.04 tff(850,plain,
% 8.85/9.04 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c1, sk_c8) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(851,plain,
% 8.85/9.04 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(852,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 8.85/9.04 tff(853,plain,
% 8.85/9.04 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[852, 851])).
% 8.85/9.04 tff(854,plain,
% 8.85/9.04 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[853, 850])).
% 8.85/9.04 tff(855,plain,
% 8.85/9.04 (multiply(sk_c1, sk_c8) = sk_c7),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[854, 849])).
% 8.85/9.04 tff(856,plain,
% 8.85/9.04 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(857,plain,
% 8.85/9.04 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(858,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_26')).
% 8.85/9.04 tff(859,plain,
% 8.85/9.04 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[858, 857])).
% 8.85/9.04 tff(860,plain,
% 8.85/9.04 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[859, 856])).
% 8.85/9.04 tff(861,plain,
% 8.85/9.04 (multiply(sk_c2, sk_c8) = sk_c3),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[860, 849])).
% 8.85/9.04 tff(862,plain,
% 8.85/9.04 (((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(863,plain,
% 8.85/9.04 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(864,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 8.85/9.04 tff(865,plain,
% 8.85/9.04 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[864, 863])).
% 8.85/9.04 tff(866,plain,
% 8.85/9.04 ((inverse(sk_c7) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[865, 862])).
% 8.85/9.04 tff(867,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c3) = sk_c7),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[866, 849])).
% 8.85/9.04 tff(868,plain,
% 8.85/9.04 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c7) = sk_c6)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c7) = sk_c6))),
% 8.85/9.04 inference(rewrite,[status(thm)],[])).
% 8.85/9.04 tff(869,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c7) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 8.85/9.04 tff(870,plain,
% 8.85/9.04 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c7) = sk_c6)),
% 8.85/9.04 inference(modus_ponens,[status(thm)],[869, 868])).
% 8.85/9.04 tff(871,plain,
% 8.85/9.04 (inverse(sk_c1) = sk_c8),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[870, 849])).
% 8.85/9.04 tff(872,assumption,(multiply(sk_c1, sk_c8) = sk_c7), introduced(assumption)).
% 8.85/9.04 tff(873,plain,
% 8.85/9.04 (sk_c7 = multiply(sk_c1, sk_c8)),
% 8.85/9.04 inference(symmetry,[status(thm)],[872])).
% 8.85/9.04 tff(874,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[873])).
% 8.85/9.04 tff(875,plain,
% 8.85/9.04 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, sk_c7)),
% 8.85/9.04 inference(symmetry,[status(thm)],[874])).
% 8.85/9.04 tff(876,plain,
% 8.85/9.04 ((~![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)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(877,plain,
% 8.85/9.04 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[876, 21])).
% 8.85/9.04 tff(878,plain,
% 8.85/9.04 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(879,plain,
% 8.85/9.04 (multiply(inverse(sk_c1), sk_c1) = identity),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[878, 62])).
% 8.85/9.04 tff(880,assumption,(inverse(sk_c1) = sk_c8), introduced(assumption)).
% 8.85/9.04 tff(881,plain,
% 8.85/9.04 (sk_c8 = inverse(sk_c1)),
% 8.85/9.04 inference(symmetry,[status(thm)],[880])).
% 8.85/9.04 tff(882,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[881])).
% 8.85/9.04 tff(883,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c1) = multiply(sk_c8, sk_c2)),
% 8.85/9.04 inference(transitivity,[status(thm)],[882, 879, 618, 615])).
% 8.85/9.04 tff(884,plain,
% 8.85/9.04 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[883])).
% 8.85/9.04 tff(885,plain,
% 8.85/9.04 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 8.85/9.04 inference(symmetry,[status(thm)],[884])).
% 8.85/9.04 tff(886,plain,
% 8.85/9.04 (sk_c8 = multiply(identity, sk_c8)),
% 8.85/9.04 inference(symmetry,[status(thm)],[9])).
% 8.85/9.04 tff(887,plain,
% 8.85/9.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(888,plain,
% 8.85/9.04 (multiply(identity, sk_c1) = sk_c1),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[887, 7])).
% 8.85/9.04 tff(889,plain,
% 8.85/9.04 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 8.85/9.04 inference(symmetry,[status(thm)],[877])).
% 8.85/9.04 tff(890,plain,
% 8.85/9.04 (sk_c6 = sk_c8),
% 8.85/9.04 inference(transitivity,[status(thm)],[838, 874, 889, 884, 621, 9])).
% 8.85/9.04 tff(891,plain,
% 8.85/9.04 (multiply(sk_c6, identity) = multiply(sk_c8, identity)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[890])).
% 8.85/9.04 tff(892,plain,
% 8.85/9.04 (multiply(sk_c8, identity) = multiply(sk_c6, identity)),
% 8.85/9.04 inference(symmetry,[status(thm)],[891])).
% 8.85/9.04 tff(893,plain,
% 8.85/9.04 (sk_c6 = inverse(sk_c1)),
% 8.85/9.04 inference(transitivity,[status(thm)],[838, 874, 889, 884, 621, 9, 881])).
% 8.85/9.04 tff(894,plain,
% 8.85/9.04 (multiply(sk_c6, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[893])).
% 8.85/9.04 tff(895,plain,
% 8.85/9.04 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, sk_c1)),
% 8.85/9.04 inference(symmetry,[status(thm)],[894])).
% 8.85/9.04 tff(896,plain,
% 8.85/9.04 (identity = multiply(inverse(sk_c1), sk_c1)),
% 8.85/9.04 inference(symmetry,[status(thm)],[879])).
% 8.85/9.04 tff(897,plain,
% 8.85/9.04 (identity = multiply(sk_c6, sk_c1)),
% 8.85/9.04 inference(transitivity,[status(thm)],[896, 895])).
% 8.85/9.04 tff(898,plain,
% 8.85/9.04 (sk_c8 = sk_c6),
% 8.85/9.04 inference(transitivity,[status(thm)],[886, 620, 885, 877, 875, 817])).
% 8.85/9.04 tff(899,plain,
% 8.85/9.04 (multiply(sk_c8, identity) = multiply(sk_c6, multiply(sk_c6, sk_c1))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[898, 897])).
% 8.85/9.04 tff(900,plain,
% 8.85/9.04 (multiply(sk_c6, multiply(sk_c6, sk_c1)) = multiply(sk_c8, identity)),
% 8.85/9.04 inference(symmetry,[status(thm)],[899])).
% 8.85/9.04 tff(901,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c1) = multiply(sk_c6, multiply(sk_c6, sk_c1)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(902,plain,
% 8.85/9.04 (multiply(multiply(sk_c6, sk_c6), sk_c1) = multiply(sk_c6, multiply(sk_c6, sk_c1))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[901, 21])).
% 8.85/9.04 tff(903,assumption,(multiply(sk_c8, sk_c3) = sk_c7), introduced(assumption)).
% 8.85/9.04 tff(904,assumption,(multiply(sk_c2, sk_c8) = sk_c3), introduced(assumption)).
% 8.85/9.04 tff(905,plain,
% 8.85/9.04 (sk_c3 = multiply(sk_c2, sk_c8)),
% 8.85/9.04 inference(symmetry,[status(thm)],[904])).
% 8.85/9.04 tff(906,plain,
% 8.85/9.04 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 8.85/9.04 inference(monotonicity,[status(thm)],[905])).
% 8.85/9.04 tff(907,plain,
% 8.85/9.04 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 8.85/9.04 inference(symmetry,[status(thm)],[906])).
% 8.85/9.04 tff(908,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(909,plain,
% 8.85/9.04 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[908, 21])).
% 8.85/9.04 tff(910,plain,
% 8.85/9.04 (sk_c6 = sk_c7),
% 8.85/9.04 inference(transitivity,[status(thm)],[838, 874, 889, 884, 909, 907, 903])).
% 8.85/9.04 tff(911,plain,
% 8.85/9.04 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 8.85/9.04 inference(symmetry,[status(thm)],[909])).
% 8.85/9.04 tff(912,plain,
% 8.85/9.04 (sk_c7 = multiply(sk_c8, sk_c3)),
% 8.85/9.04 inference(symmetry,[status(thm)],[903])).
% 8.85/9.04 tff(913,plain,
% 8.85/9.04 (sk_c7 = sk_c8),
% 8.85/9.04 inference(transitivity,[status(thm)],[912, 906, 911, 621, 9])).
% 8.85/9.04 tff(914,plain,
% 8.85/9.04 (multiply(sk_c7, sk_c6) = multiply(sk_c8, sk_c7)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[913, 910])).
% 8.85/9.04 tff(915,plain,
% 8.85/9.04 (multiply(sk_c6, sk_c6) = multiply(sk_c7, sk_c6)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[910])).
% 8.85/9.04 tff(916,plain,
% 8.85/9.04 (multiply(sk_c6, sk_c6) = inverse(sk_c1)),
% 8.85/9.04 inference(transitivity,[status(thm)],[915, 914, 874, 889, 884, 621, 9, 881])).
% 8.85/9.04 tff(917,plain,
% 8.85/9.04 (multiply(multiply(sk_c6, sk_c6), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[916])).
% 8.85/9.04 tff(918,plain,
% 8.85/9.04 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c6, sk_c6), sk_c1)),
% 8.85/9.04 inference(symmetry,[status(thm)],[917])).
% 8.85/9.04 tff(919,plain,
% 8.85/9.04 (identity = multiply(sk_c6, identity)),
% 8.85/9.04 inference(transitivity,[status(thm)],[896, 918, 902, 900, 892])).
% 8.85/9.04 tff(920,plain,
% 8.85/9.04 (multiply(identity, sk_c1) = multiply(multiply(sk_c6, identity), sk_c1)),
% 8.85/9.04 inference(monotonicity,[status(thm)],[919])).
% 8.85/9.04 tff(921,plain,
% 8.85/9.04 (multiply(multiply(sk_c6, identity), sk_c1) = multiply(identity, sk_c1)),
% 8.85/9.04 inference(symmetry,[status(thm)],[920])).
% 8.85/9.04 tff(922,plain,
% 8.85/9.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), sk_c1) = multiply(sk_c6, multiply(identity, sk_c1)))),
% 8.85/9.04 inference(quant_inst,[status(thm)],[])).
% 8.85/9.04 tff(923,plain,
% 8.85/9.04 (multiply(multiply(sk_c6, identity), sk_c1) = multiply(sk_c6, multiply(identity, sk_c1))),
% 8.85/9.04 inference(unit_resolution,[status(thm)],[922, 21])).
% 8.85/9.04 tff(924,plain,
% 8.85/9.04 (multiply(sk_c6, multiply(identity, sk_c1)) = multiply(multiply(sk_c6, identity), sk_c1)),
% 8.85/9.04 inference(symmetry,[status(thm)],[923])).
% 8.85/9.04 tff(925,plain,
% 8.85/9.05 (multiply(sk_c6, multiply(identity, sk_c1)) = multiply(inverse(sk_c1), sk_c1)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[893, 888])).
% 8.85/9.05 tff(926,plain,
% 8.85/9.05 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c6, multiply(identity, sk_c1))),
% 8.85/9.05 inference(symmetry,[status(thm)],[925])).
% 8.85/9.05 tff(927,plain,
% 8.85/9.05 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c6), sk_c6) = identity)),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(928,plain,
% 8.85/9.05 (multiply(inverse(sk_c6), sk_c6) = identity),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[927, 62])).
% 8.85/9.05 tff(929,plain,
% 8.85/9.05 (multiply(sk_c6, sk_c6) = sk_c6),
% 8.85/9.05 inference(transitivity,[status(thm)],[915, 914, 817])).
% 8.85/9.05 tff(930,plain,
% 8.85/9.05 (inverse(sk_c6) = inverse(sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[910])).
% 8.85/9.05 tff(931,plain,
% 8.85/9.05 (inverse(sk_c7) = inverse(sk_c6)),
% 8.85/9.05 inference(symmetry,[status(thm)],[930])).
% 8.85/9.05 tff(932,plain,
% 8.85/9.05 (multiply(inverse(sk_c7), multiply(sk_c6, sk_c6)) = multiply(inverse(sk_c6), sk_c6)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[931, 929])).
% 8.85/9.05 tff(933,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c6), sk_c6) = multiply(inverse(sk_c7), multiply(sk_c6, sk_c6)))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(934,plain,
% 8.85/9.05 (multiply(multiply(inverse(sk_c7), sk_c6), sk_c6) = multiply(inverse(sk_c7), multiply(sk_c6, sk_c6))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[933, 21])).
% 8.85/9.05 tff(935,plain,
% 8.85/9.05 (multiply(inverse(sk_c7), sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[931])).
% 8.85/9.05 tff(936,plain,
% 8.85/9.05 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c7), sk_c6)),
% 8.85/9.05 inference(symmetry,[status(thm)],[935])).
% 8.85/9.05 tff(937,plain,
% 8.85/9.05 (identity = multiply(inverse(sk_c6), sk_c6)),
% 8.85/9.05 inference(symmetry,[status(thm)],[928])).
% 8.85/9.05 tff(938,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c7), sk_c6)),
% 8.85/9.05 inference(transitivity,[status(thm)],[614, 617, 937, 936])).
% 8.85/9.05 tff(939,plain,
% 8.85/9.05 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(multiply(inverse(sk_c7), sk_c6), sk_c6)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[938, 898])).
% 8.85/9.05 tff(940,plain,
% 8.85/9.05 (sk_c7 = sk_c1),
% 8.85/9.05 inference(transitivity,[status(thm)],[912, 906, 911, 939, 934, 932, 928, 896, 926, 924, 921, 888])).
% 8.85/9.05 tff(941,plain,
% 8.85/9.05 (inverse(sk_c7) = inverse(sk_c1)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[940])).
% 8.85/9.05 tff(942,plain,
% 8.85/9.05 (inverse(sk_c7) = sk_c6),
% 8.85/9.05 inference(transitivity,[status(thm)],[941, 880, 886, 620, 885, 877, 875, 817])).
% 8.85/9.05 tff(943,plain,
% 8.85/9.05 ($false),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[849, 942])).
% 8.85/9.05 tff(944,plain,((inverse(sk_c7) = sk_c6) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c1, sk_c8) = sk_c7))), inference(lemma,lemma(discharge,[]))).
% 8.85/9.05 tff(945,plain,
% 8.85/9.05 ($false),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[944, 871, 849, 867, 861, 855])).
% 8.85/9.05 tff(946,plain,(inverse(sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 8.85/9.05 tff(947,plain,
% 8.85/9.05 (sk_c6 = inverse(sk_c7)),
% 8.85/9.05 inference(symmetry,[status(thm)],[946])).
% 8.85/9.05 tff(948,plain,
% 8.85/9.05 (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[947])).
% 8.85/9.05 tff(949,plain,
% 8.85/9.05 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 8.85/9.05 inference(symmetry,[status(thm)],[948])).
% 8.85/9.05 tff(950,plain,
% 8.85/9.05 (identity = multiply(sk_c6, sk_c7)),
% 8.85/9.05 inference(transitivity,[status(thm)],[105, 949])).
% 8.85/9.05 tff(951,plain,
% 8.85/9.05 (multiply(identity, sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[950])).
% 8.85/9.05 tff(952,plain,
% 8.85/9.05 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(identity, sk_c7)),
% 8.85/9.05 inference(symmetry,[status(thm)],[951])).
% 8.85/9.05 tff(953,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(954,plain,
% 8.85/9.05 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[953, 21])).
% 8.85/9.05 tff(955,plain,
% 8.85/9.05 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 8.85/9.05 inference(symmetry,[status(thm)],[954])).
% 8.85/9.05 tff(956,assumption,(~(multiply(sk_c5, sk_c8) = sk_c6)), introduced(assumption)).
% 8.85/9.05 tff(957,plain,
% 8.85/9.05 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 8.85/9.05 inference(rewrite,[status(thm)],[])).
% 8.85/9.05 tff(958,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 8.85/9.05 tff(959,plain,
% 8.85/9.05 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.05 inference(modus_ponens,[status(thm)],[958, 957])).
% 8.85/9.05 tff(960,plain,
% 8.85/9.05 (inverse(sk_c1) = sk_c8),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[959, 956])).
% 8.85/9.05 tff(961,plain,
% 8.85/9.05 (inverse(sk_c1) = inverse(sk_c2)),
% 8.85/9.05 inference(transitivity,[status(thm)],[960, 613])).
% 8.85/9.05 tff(962,plain,
% 8.85/9.05 ((inverse(sk_c1) = sk_c7) <=> (inverse(sk_c2) = sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[961])).
% 8.85/9.05 tff(963,plain,
% 8.85/9.05 ((~(inverse(sk_c1) = sk_c7)) <=> (~(inverse(sk_c2) = sk_c7))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[962])).
% 8.85/9.05 tff(964,plain,
% 8.85/9.05 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 8.85/9.05 inference(rewrite,[status(thm)],[])).
% 8.85/9.05 tff(965,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_29')).
% 8.85/9.05 tff(966,plain,
% 8.85/9.05 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.05 inference(modus_ponens,[status(thm)],[965, 964])).
% 8.85/9.05 tff(967,plain,
% 8.85/9.05 (multiply(sk_c2, sk_c8) = sk_c3),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[966, 956])).
% 8.85/9.05 tff(968,plain,
% 8.85/9.05 (sk_c3 = multiply(sk_c2, sk_c8)),
% 8.85/9.05 inference(symmetry,[status(thm)],[967])).
% 8.85/9.05 tff(969,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[968])).
% 8.85/9.05 tff(970,plain,
% 8.85/9.05 (((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 8.85/9.05 inference(rewrite,[status(thm)],[])).
% 8.85/9.05 tff(971,plain,
% 8.85/9.05 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 8.85/9.05 inference(rewrite,[status(thm)],[])).
% 8.85/9.05 tff(972,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_23')).
% 8.85/9.05 tff(973,plain,
% 8.85/9.05 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 8.85/9.05 inference(modus_ponens,[status(thm)],[972, 971])).
% 8.85/9.05 tff(974,plain,
% 8.85/9.05 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 8.85/9.05 inference(modus_ponens,[status(thm)],[973, 970])).
% 8.85/9.05 tff(975,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c3) = sk_c7),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[974, 956])).
% 8.85/9.05 tff(976,plain,
% 8.85/9.05 (sk_c7 = multiply(sk_c8, sk_c3)),
% 8.85/9.05 inference(symmetry,[status(thm)],[975])).
% 8.85/9.05 tff(977,plain,
% 8.85/9.05 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 8.85/9.05 inference(rewrite,[status(thm)],[])).
% 8.85/9.05 tff(978,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 8.85/9.05 tff(979,plain,
% 8.85/9.05 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 8.85/9.05 inference(modus_ponens,[status(thm)],[978, 977])).
% 8.85/9.05 tff(980,plain,
% 8.85/9.05 (multiply(sk_c1, sk_c8) = sk_c7),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[979, 956])).
% 8.85/9.05 tff(981,plain,
% 8.85/9.05 (sk_c7 = sk_c8),
% 8.85/9.05 inference(transitivity,[status(thm)],[976, 969, 911, 621, 9])).
% 8.85/9.05 tff(982,plain,
% 8.85/9.05 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c8)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[981])).
% 8.85/9.05 tff(983,plain,
% 8.85/9.05 (multiply(sk_c1, sk_c7) = sk_c8),
% 8.85/9.05 inference(transitivity,[status(thm)],[982, 980, 976, 969, 911, 621, 9])).
% 8.85/9.05 tff(984,plain,
% 8.85/9.05 (sk_c8 = inverse(sk_c1)),
% 8.85/9.05 inference(symmetry,[status(thm)],[960])).
% 8.85/9.05 tff(985,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[984])).
% 8.85/9.05 tff(986,plain,
% 8.85/9.05 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 8.85/9.05 inference(symmetry,[status(thm)],[985])).
% 8.85/9.05 tff(987,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c2) = multiply(sk_c8, sk_c1)),
% 8.85/9.05 inference(transitivity,[status(thm)],[614, 617, 896, 986])).
% 8.85/9.05 tff(988,plain,
% 8.85/9.05 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[987])).
% 8.85/9.05 tff(989,plain,
% 8.85/9.05 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 8.85/9.05 inference(symmetry,[status(thm)],[988])).
% 8.85/9.05 tff(990,plain,
% 8.85/9.05 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[980])).
% 8.85/9.05 tff(991,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 8.85/9.05 inference(symmetry,[status(thm)],[990])).
% 8.85/9.05 tff(992,plain,
% 8.85/9.05 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 8.85/9.05 inference(symmetry,[status(thm)],[969])).
% 8.85/9.05 tff(993,plain,
% 8.85/9.05 (sk_c6 = sk_c7),
% 8.85/9.05 inference(transitivity,[status(thm)],[838, 991, 889, 989, 909, 992, 975])).
% 8.85/9.05 tff(994,plain,
% 8.85/9.05 (multiply(sk_c7, sk_c6) = multiply(sk_c8, sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[981, 993])).
% 8.85/9.05 tff(995,plain,
% 8.85/9.05 (multiply(sk_c7, sk_c6) = sk_c8),
% 8.85/9.05 inference(transitivity,[status(thm)],[994, 991, 889, 989, 621, 9])).
% 8.85/9.05 tff(996,plain,
% 8.85/9.05 (multiply(sk_c1, sk_c8) = sk_c6),
% 8.85/9.05 inference(transitivity,[status(thm)],[980, 976, 969, 911, 988, 877, 990, 817])).
% 8.85/9.05 tff(997,plain,
% 8.85/9.05 (inverse(sk_c7) = sk_c6),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[944, 960, 975, 967, 980])).
% 8.85/9.05 tff(998,plain,
% 8.85/9.05 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7),
% 8.85/9.05 inference(transitivity,[status(thm)],[992, 975])).
% 8.85/9.05 tff(999,plain,
% 8.85/9.05 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))),
% 8.85/9.05 inference(rewrite,[status(thm)],[])).
% 8.85/9.05 tff(1000,plain,
% 8.85/9.05 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))),
% 8.85/9.05 inference(rewrite,[status(thm)],[])).
% 8.85/9.05 tff(1001,plain,
% 8.85/9.05 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8))))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1000])).
% 8.85/9.05 tff(1002,plain,
% 8.85/9.05 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)))),
% 8.85/9.05 inference(transitivity,[status(thm)],[1001, 999])).
% 8.85/9.05 tff(1003,plain,
% 8.85/9.05 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1004,plain,
% 8.85/9.05 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8))),
% 8.85/9.05 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 8.85/9.05 tff(1005,plain,
% 8.85/9.05 ((~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1004, 817, 980, 960, 612, 603, 998])).
% 8.85/9.05 tff(1006,plain,
% 8.85/9.05 (~(inverse(sk_c1) = sk_c7)),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1005, 997, 996, 995, 983])).
% 8.85/9.05 tff(1007,plain,
% 8.85/9.05 (~(inverse(sk_c2) = sk_c7)),
% 8.85/9.05 inference(modus_ponens,[status(thm)],[1006, 963])).
% 8.85/9.05 tff(1008,plain,
% 8.85/9.05 (inverse(sk_c2) = sk_c7),
% 8.85/9.05 inference(transitivity,[status(thm)],[612, 886, 620, 909, 992, 975])).
% 8.85/9.05 tff(1009,plain,
% 8.85/9.05 ($false),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1008, 1007])).
% 8.85/9.05 tff(1010,plain,(multiply(sk_c5, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 8.85/9.05 tff(1011,plain,
% 8.85/9.05 (sk_c6 = multiply(sk_c5, sk_c8)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1010])).
% 8.85/9.05 tff(1012,plain,
% 8.85/9.05 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1011])).
% 8.85/9.05 tff(1013,plain,
% 8.85/9.05 (multiply(multiply(sk_c5, sk_c8), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(symmetry,[status(thm)],[1012])).
% 8.85/9.05 tff(1014,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), multiply(sk_c7, sk_c7)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c7, sk_c7))))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1015,plain,
% 8.85/9.05 (multiply(multiply(sk_c5, sk_c8), multiply(sk_c7, sk_c7)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c7, sk_c7)))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1014, 21])).
% 8.85/9.05 tff(1016,plain,
% 8.85/9.05 (multiply(sk_c5, multiply(sk_c8, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(symmetry,[status(thm)],[1015])).
% 8.85/9.05 tff(1017,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c7) = inverse(sk_c7)),
% 8.85/9.05 inference(transitivity,[status(thm)],[817, 947])).
% 8.85/9.05 tff(1018,plain,
% 8.85/9.05 (multiply(multiply(sk_c8, sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1017])).
% 8.85/9.05 tff(1019,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c7) = multiply(sk_c8, multiply(sk_c7, sk_c7)))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1020,plain,
% 8.85/9.05 (multiply(multiply(sk_c8, sk_c7), sk_c7) = multiply(sk_c8, multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1019, 21])).
% 8.85/9.05 tff(1021,plain,
% 8.85/9.05 (multiply(sk_c8, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c8, sk_c7), sk_c7)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1020])).
% 8.85/9.05 tff(1022,plain,
% 8.85/9.05 (multiply(sk_c8, multiply(sk_c7, sk_c7)) = multiply(sk_c8, sk_c2)),
% 8.85/9.05 inference(transitivity,[status(thm)],[1021, 1018, 89, 618, 615])).
% 8.85/9.05 tff(1023,plain,
% 8.85/9.05 (multiply(sk_c5, multiply(sk_c8, multiply(sk_c7, sk_c7))) = multiply(sk_c5, multiply(sk_c8, sk_c2))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1022])).
% 8.85/9.05 tff(1024,plain,
% 8.85/9.05 (multiply(sk_c5, multiply(sk_c8, sk_c2)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c7, sk_c7)))),
% 8.85/9.05 inference(symmetry,[status(thm)],[1023])).
% 8.85/9.05 tff(1025,plain,
% 8.85/9.05 (multiply(multiply(sk_c5, sk_c8), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1010])).
% 8.85/9.05 tff(1026,plain,
% 8.85/9.05 (multiply(sk_c6, sk_c2) = multiply(multiply(sk_c5, sk_c8), sk_c2)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1025])).
% 8.85/9.05 tff(1027,plain,
% 8.85/9.05 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[950])).
% 8.85/9.05 tff(1028,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, identity)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1027])).
% 8.85/9.05 tff(1029,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[844])).
% 8.85/9.05 tff(1030,plain,
% 8.85/9.05 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1029])).
% 8.85/9.05 tff(1031,plain,
% 8.85/9.05 (sk_c6 = multiply(sk_c7, identity)),
% 8.85/9.05 inference(transitivity,[status(thm)],[838, 1030, 139, 1028])).
% 8.85/9.05 tff(1032,plain,
% 8.85/9.05 (multiply(sk_c6, sk_c2) = multiply(multiply(sk_c7, identity), sk_c2)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1031])).
% 8.85/9.05 tff(1033,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, identity), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1032])).
% 8.85/9.05 tff(1034,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c2) = multiply(sk_c7, multiply(identity, sk_c2)))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1035,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, identity), sk_c2) = multiply(sk_c7, multiply(identity, sk_c2))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1034, 21])).
% 8.85/9.05 tff(1036,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(identity, sk_c2)) = multiply(multiply(sk_c7, identity), sk_c2)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1035])).
% 8.85/9.05 tff(1037,plain,
% 8.85/9.05 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1038,plain,
% 8.85/9.05 (multiply(identity, sk_c2) = sk_c2),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1037, 7])).
% 8.85/9.05 tff(1039,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(identity, sk_c2)) = multiply(sk_c7, sk_c2)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1038])).
% 8.85/9.05 tff(1040,plain,
% 8.85/9.05 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(identity, sk_c2))),
% 8.85/9.05 inference(symmetry,[status(thm)],[1039])).
% 8.85/9.05 tff(1041,plain,
% 8.85/9.05 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c7, sk_c4)),
% 8.85/9.05 inference(symmetry,[status(thm)],[831])).
% 8.85/9.05 tff(1042,plain,
% 8.85/9.05 (identity = multiply(sk_c7, sk_c4)),
% 8.85/9.05 inference(transitivity,[status(thm)],[151, 1041])).
% 8.85/9.05 tff(1043,plain,
% 8.85/9.05 (multiply(identity, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1042])).
% 8.85/9.05 tff(1044,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2)) = multiply(identity, multiply(sk_c7, sk_c2))),
% 8.85/9.05 inference(symmetry,[status(thm)],[1043])).
% 8.85/9.05 tff(1045,plain,
% 8.85/9.05 (multiply(sk_c4, sk_c7) = inverse(sk_c2)),
% 8.85/9.05 inference(transitivity,[status(thm)],[822, 613])).
% 8.85/9.05 tff(1046,plain,
% 8.85/9.05 (multiply(multiply(sk_c4, sk_c7), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1045])).
% 8.85/9.05 tff(1047,plain,
% 8.85/9.05 (multiply(sk_c4, multiply(sk_c7, sk_c2)) = multiply(sk_c6, sk_c7)),
% 8.85/9.05 inference(transitivity,[status(thm)],[800, 1046, 617, 105, 949])).
% 8.85/9.05 tff(1048,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c2))) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1047])).
% 8.85/9.05 tff(1049,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c2)))),
% 8.85/9.05 inference(symmetry,[status(thm)],[1048])).
% 8.85/9.05 tff(1050,plain,
% 8.85/9.05 (multiply(sk_c4, sk_c8) = multiply(sk_c7, sk_c2)),
% 8.85/9.05 inference(transitivity,[status(thm)],[847, 455, 823, 1030, 139, 1049, 720, 1044, 715])).
% 8.85/9.05 tff(1051,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7)) = multiply(sk_c8, multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[844])).
% 8.85/9.05 tff(1052,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7))))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1053,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1052, 21])).
% 8.85/9.05 tff(1054,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(symmetry,[status(thm)],[1053])).
% 8.85/9.05 tff(1055,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(identity, sk_c2)) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.85/9.05 inference(transitivity,[status(thm)],[1036, 1033, 1026, 736, 1024, 1016, 1013])).
% 8.85/9.05 tff(1056,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(sk_c7, multiply(identity, sk_c2))) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1055])).
% 8.85/9.05 tff(1057,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(identity, sk_c2)) = multiply(sk_c7, multiply(sk_c7, multiply(identity, sk_c2))))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1058,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, sk_c7), multiply(identity, sk_c2)) = multiply(sk_c7, multiply(sk_c7, multiply(identity, sk_c2)))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1057, 21])).
% 8.85/9.05 tff(1059,plain,
% 8.85/9.05 (sk_c2 = multiply(identity, sk_c2)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1038])).
% 8.85/9.05 tff(1060,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c7), multiply(identity, sk_c2))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1059])).
% 8.85/9.05 tff(1061,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c2) = multiply(sk_c7, multiply(sk_c7, sk_c2)))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1062,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, sk_c7), sk_c2) = multiply(sk_c7, multiply(sk_c7, sk_c2))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1061, 21])).
% 8.85/9.05 tff(1063,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c7), sk_c2)),
% 8.85/9.05 inference(symmetry,[status(thm)],[1062])).
% 8.85/9.05 tff(1064,plain,
% 8.85/9.05 (multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c2))) = multiply(sk_c7, multiply(sk_c7, sk_c2))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[715])).
% 8.85/9.05 tff(1065,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c2)) = multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c2))))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1066,plain,
% 8.85/9.05 (multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c2)) = multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c2)))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1065, 21])).
% 8.85/9.05 tff(1067,plain,
% 8.85/9.05 (multiply(sk_c6, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c2))),
% 8.85/9.05 inference(monotonicity,[status(thm)],[1031])).
% 8.85/9.05 tff(1068,plain,
% 8.85/9.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c2) = multiply(sk_c6, multiply(sk_c7, sk_c2)))),
% 8.85/9.05 inference(quant_inst,[status(thm)],[])).
% 8.85/9.05 tff(1069,plain,
% 8.85/9.05 (multiply(multiply(sk_c6, sk_c7), sk_c2) = multiply(sk_c6, multiply(sk_c7, sk_c2))),
% 8.85/9.05 inference(unit_resolution,[status(thm)],[1068, 21])).
% 8.85/9.05 tff(1070,plain,
% 8.85/9.05 (multiply(identity, sk_c2) = multiply(multiply(sk_c6, sk_c7), sk_c2)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[950])).
% 8.85/9.06 tff(1071,plain,
% 8.85/9.06 (multiply(sk_c5, sk_c8) = inverse(sk_c7)),
% 8.85/9.06 inference(transitivity,[status(thm)],[1010, 947])).
% 8.85/9.06 tff(1072,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1071])).
% 8.85/9.06 tff(1073,plain,
% 8.85/9.06 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c5, sk_c8)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[844])).
% 8.85/9.06 tff(1074,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c8, sk_c7)),
% 8.85/9.06 inference(transitivity,[status(thm)],[97, 1073, 1010, 838])).
% 8.85/9.06 tff(1075,plain,
% 8.85/9.06 (multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), sk_c6)) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1074])).
% 8.85/9.06 tff(1076,plain,
% 8.85/9.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6) = multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), sk_c6)))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.06 tff(1077,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6) = multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), sk_c6))),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1076, 21])).
% 8.85/9.06 tff(1078,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6) = identity),
% 8.85/9.06 inference(transitivity,[status(thm)],[1077, 1075, 135, 1072, 89])).
% 8.85/9.06 tff(1079,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c2) = multiply(identity, sk_c2)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1078])).
% 8.85/9.06 tff(1080,plain,
% 8.85/9.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c2) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2)))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.06 tff(1081,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c2) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2))),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1080, 21])).
% 8.85/9.06 tff(1082,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c2)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1081])).
% 8.85/9.06 tff(1083,plain,
% 8.85/9.06 (multiply(sk_c5, multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c5, sk_c8), sk_c2)),
% 8.85/9.06 inference(symmetry,[status(thm)],[736])).
% 8.85/9.06 tff(1084,plain,
% 8.85/9.06 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, sk_c2)),
% 8.85/9.06 inference(transitivity,[status(thm)],[1012, 1015, 1023, 1083, 1025])).
% 8.85/9.06 tff(1085,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1084])).
% 8.85/9.06 tff(1086,plain,
% 8.85/9.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, multiply(sk_c7, sk_c7))))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.06 tff(1087,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1086, 21])).
% 8.85/9.06 tff(1088,plain,
% 8.85/9.06 (multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1077])).
% 8.85/9.06 tff(1089,plain,
% 8.85/9.06 (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), sk_c6))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1075])).
% 8.85/9.06 tff(1090,plain,
% 8.85/9.06 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1072])).
% 8.85/9.06 tff(1091,plain,
% 8.85/9.06 (identity = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6)),
% 8.85/9.06 inference(transitivity,[status(thm)],[105, 1090, 134, 1089, 1088])).
% 8.85/9.06 tff(1092,plain,
% 8.85/9.06 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), multiply(sk_c7, sk_c7))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1091])).
% 8.85/9.06 tff(1093,plain,
% 8.85/9.06 (sk_c8 = multiply(sk_c7, sk_c4)),
% 8.85/9.06 inference(transitivity,[status(thm)],[845, 840, 836, 833, 1092, 1087, 1085, 1082, 1079, 1070, 1069, 1067, 1066, 1064, 1063, 1060, 1058, 1056, 1054, 1051, 1021, 1018, 89, 151, 1041])).
% 8.85/9.06 tff(1094,plain,
% 8.85/9.06 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c2))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1093, 1050])).
% 8.85/9.06 tff(1095,plain,
% 8.85/9.06 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7),
% 8.85/9.06 inference(transitivity,[status(thm)],[1094, 1044, 715, 1040, 1036, 1033, 1026, 736, 1024, 1016, 1013, 955, 952, 277])).
% 8.85/9.06 tff(1096,plain,
% 8.85/9.06 ((sk_c7 = inverse(sk_c2)) <=> (inverse(sk_c2) = sk_c7)),
% 8.85/9.06 inference(commutativity,[status(thm)],[])).
% 8.85/9.06 tff(1097,plain,
% 8.85/9.06 ((inverse(sk_c4) = sk_c8) <=> (sk_c7 = inverse(sk_c2))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[829, 613])).
% 8.85/9.06 tff(1098,plain,
% 8.85/9.06 ((inverse(sk_c4) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 8.85/9.06 inference(transitivity,[status(thm)],[1097, 1096])).
% 8.85/9.06 tff(1099,plain,
% 8.85/9.06 ((inverse(sk_c2) = sk_c7) <=> (inverse(sk_c4) = sk_c8)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1098])).
% 8.85/9.06 tff(1100,plain,
% 8.85/9.06 (inverse(sk_c7) = sk_c7),
% 8.85/9.06 inference(transitivity,[status(thm)],[946, 838, 1030, 139, 1049, 720, 1044, 715, 1040, 1036, 1033, 1026, 736, 1024, 1016, 1013, 955, 952, 277])).
% 8.85/9.06 tff(1101,plain,
% 8.85/9.06 ((inverse(sk_c7) = sk_c8) <=> (sk_c7 = inverse(sk_c2))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1100, 613])).
% 8.85/9.06 tff(1102,plain,
% 8.85/9.06 ((inverse(sk_c7) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 8.85/9.06 inference(transitivity,[status(thm)],[1101, 1096])).
% 8.85/9.06 tff(1103,plain,
% 8.85/9.06 ((inverse(sk_c7) = sk_c8) <=> (inverse(sk_c4) = sk_c8)),
% 8.85/9.06 inference(transitivity,[status(thm)],[1102, 1099])).
% 8.85/9.06 tff(1104,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c7, sk_c7))) = multiply(sk_c7, sk_c6)),
% 8.85/9.06 inference(symmetry,[status(thm)],[840])).
% 8.85/9.06 tff(1105,plain,
% 8.85/9.06 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c7, sk_c7))),
% 8.85/9.06 inference(symmetry,[status(thm)],[833])).
% 8.85/9.06 tff(1106,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c7, sk_c7))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1092])).
% 8.85/9.06 tff(1107,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), multiply(sk_c7, sk_c7))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1087])).
% 8.85/9.06 tff(1108,plain,
% 8.85/9.06 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1085])).
% 8.85/9.06 tff(1109,plain,
% 8.85/9.06 (multiply(identity, sk_c2) = multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c2)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1079])).
% 8.85/9.06 tff(1110,plain,
% 8.85/9.06 (multiply(multiply(sk_c6, sk_c7), sk_c2) = multiply(identity, sk_c2)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1070])).
% 8.85/9.06 tff(1111,plain,
% 8.85/9.06 (multiply(sk_c6, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c6, sk_c7), sk_c2)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1069])).
% 8.85/9.06 tff(1112,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c2)) = multiply(sk_c6, multiply(sk_c7, sk_c2))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1067])).
% 8.85/9.06 tff(1113,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c2))) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c2))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1066])).
% 8.85/9.06 tff(1114,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c7, sk_c2)) = multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c2)))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1064])).
% 8.85/9.06 tff(1115,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c7), multiply(identity, sk_c2)) = multiply(multiply(sk_c7, sk_c7), sk_c2)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1060])).
% 8.85/9.06 tff(1116,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c7, multiply(identity, sk_c2))) = multiply(multiply(sk_c7, sk_c7), multiply(identity, sk_c2))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1058])).
% 8.85/9.06 tff(1117,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(identity, sk_c2)))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1056])).
% 8.85/9.06 tff(1118,plain,
% 8.85/9.06 (multiply(sk_c8, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1051])).
% 8.85/9.06 tff(1119,plain,
% 8.85/9.06 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c8, sk_c7), sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1018])).
% 8.85/9.06 tff(1120,plain,
% 8.85/9.06 (sk_c8 = multiply(sk_c4, sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[822])).
% 8.85/9.06 tff(1121,plain,
% 8.85/9.06 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1120])).
% 8.85/9.06 tff(1122,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c8)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1121])).
% 8.85/9.06 tff(1123,plain,
% 8.85/9.06 (multiply(sk_c7, sk_c4) = multiply(sk_c6, sk_c7)),
% 8.85/9.06 inference(transitivity,[status(thm)],[831, 67, 105, 949])).
% 8.85/9.06 tff(1124,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1123])).
% 8.85/9.06 tff(1125,plain,
% 8.85/9.06 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1124])).
% 8.85/9.06 tff(1126,plain,
% 8.85/9.06 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c7, sk_c8)),
% 8.85/9.06 inference(transitivity,[status(thm)],[955, 1125, 780, 1122])).
% 8.85/9.06 tff(1127,plain,
% 8.85/9.06 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5) = multiply(multiply(sk_c7, sk_c8), sk_c5)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1126])).
% 8.85/9.06 tff(1128,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1127])).
% 8.85/9.06 tff(1129,plain,
% 8.85/9.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(sk_c7, multiply(sk_c8, sk_c5)))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.06 tff(1130,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(sk_c7, multiply(sk_c8, sk_c5))),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1129, 21])).
% 8.85/9.06 tff(1131,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c7, sk_c8), sk_c5)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1130])).
% 8.85/9.06 tff(1132,plain,
% 8.85/9.06 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 8.85/9.06 inference(rewrite,[status(thm)],[])).
% 8.85/9.06 tff(1133,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 8.85/9.06 tff(1134,plain,
% 8.85/9.06 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 8.85/9.06 inference(modus_ponens,[status(thm)],[1133, 1132])).
% 8.85/9.06 tff(1135,plain,
% 8.85/9.06 (inverse(sk_c5) = sk_c8),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1134, 818])).
% 8.85/9.06 tff(1136,plain,
% 8.85/9.06 (sk_c8 = inverse(sk_c5)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1135])).
% 8.85/9.06 tff(1137,plain,
% 8.85/9.06 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1136])).
% 8.85/9.06 tff(1138,plain,
% 8.85/9.06 (multiply(sk_c8, sk_c5) = multiply(sk_c6, sk_c7)),
% 8.85/9.06 inference(transitivity,[status(thm)],[1137, 64, 105, 949])).
% 8.85/9.06 tff(1139,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c8, sk_c5)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1138])).
% 8.85/9.06 tff(1140,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c8, sk_c5))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1139])).
% 8.85/9.06 tff(1141,plain,
% 8.85/9.06 (inverse(sk_c7) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5)),
% 8.85/9.06 inference(transitivity,[status(thm)],[946, 838, 1030, 139, 1140, 1131, 1128])).
% 8.85/9.06 tff(1142,plain,
% 8.85/9.06 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5), sk_c7)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1141])).
% 8.85/9.06 tff(1143,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1142])).
% 8.85/9.06 tff(1144,plain,
% 8.85/9.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7)))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.06 tff(1145,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7))),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1144, 21])).
% 8.85/9.06 tff(1146,plain,
% 8.85/9.06 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), sk_c5), sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1145])).
% 8.85/9.06 tff(1147,plain,
% 8.85/9.06 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = sk_c7),
% 8.85/9.06 inference(transitivity,[status(thm)],[955, 952, 277])).
% 8.85/9.06 tff(1148,plain,
% 8.85/9.06 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7)) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1147])).
% 8.85/9.06 tff(1149,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c5, sk_c7))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1148])).
% 8.85/9.06 tff(1150,plain,
% 8.85/9.06 (sk_c7 = multiply(sk_c7, sk_c8)),
% 8.85/9.06 inference(transitivity,[status(thm)],[278, 951, 1125, 780, 1122])).
% 8.85/9.06 tff(1151,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c8))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1150])).
% 8.85/9.06 tff(1152,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[1151])).
% 8.85/9.06 tff(1153,plain,
% 8.85/9.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), multiply(sk_c7, sk_c7)) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7))))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.06 tff(1154,plain,
% 8.85/9.06 (multiply(multiply(sk_c8, sk_c7), multiply(sk_c7, sk_c7)) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1153, 21])).
% 8.85/9.06 tff(1155,plain,
% 8.85/9.06 (multiply(multiply(sk_c8, sk_c7), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[817])).
% 8.85/9.06 tff(1156,plain,
% 8.85/9.06 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c8, sk_c7), multiply(sk_c7, sk_c7))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1155])).
% 8.85/9.06 tff(1157,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 8.85/9.06 inference(symmetry,[status(thm)],[780])).
% 8.85/9.06 tff(1158,plain,
% 8.85/9.06 (multiply(sk_c7, sk_c8) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 8.85/9.06 inference(transitivity,[status(thm)],[1121, 1157, 1124, 954, 1156, 1154])).
% 8.85/9.06 tff(1159,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7))))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1158])).
% 8.85/9.06 tff(1160,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c8))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1159])).
% 8.85/9.06 tff(1161,plain,
% 8.85/9.06 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7)))))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.06 tff(1162,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7))))),
% 8.85/9.06 inference(unit_resolution,[status(thm)],[1161, 21])).
% 8.85/9.06 tff(1163,plain,
% 8.85/9.06 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(sk_c7, sk_c6)),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1010])).
% 8.85/9.06 tff(1164,plain,
% 8.85/9.06 (multiply(multiply(sk_c7, sk_c5), sk_c8) = sk_c8),
% 8.85/9.06 inference(transitivity,[status(thm)],[23, 1163, 844])).
% 8.85/9.06 tff(1165,plain,
% 8.85/9.06 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1164])).
% 8.85/9.06 tff(1166,plain,
% 8.85/9.06 (multiply(sk_c8, multiply(sk_c7, multiply(sk_c7, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 8.85/9.06 inference(symmetry,[status(thm)],[1165])).
% 8.85/9.06 tff(1167,plain,
% 8.85/9.06 (inverse(sk_c7) = sk_c8),
% 8.85/9.06 inference(transitivity,[status(thm)],[946, 838, 1030, 139, 1049, 720, 1044, 715, 1040, 1036, 1033, 1026, 736, 1024, 1016, 1013, 1156, 1154, 1166, 1162, 1160, 1152, 307, 1149, 1146, 1143, 1119, 1020, 1118, 1053, 1117, 1116, 1115, 1062, 1114, 1113, 1112, 1111, 1110, 1109, 1081, 1108, 1107, 1106, 1105, 835, 1104, 844])).
% 8.85/9.06 tff(1168,plain,
% 8.85/9.06 (inverse(sk_c4) = sk_c8),
% 8.85/9.06 inference(modus_ponens,[status(thm)],[1167, 1103])).
% 8.85/9.06 tff(1169,plain,
% 8.85/9.06 (multiply(sk_c7, sk_c8) = sk_c7),
% 8.85/9.06 inference(transitivity,[status(thm)],[1121, 1157, 1124, 952, 277])).
% 8.85/9.06 tff(1170,plain,
% 8.85/9.06 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)))),
% 8.85/9.06 inference(rewrite,[status(thm)],[])).
% 8.85/9.06 tff(1171,plain,
% 8.85/9.06 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)))),
% 8.85/9.06 inference(rewrite,[status(thm)],[])).
% 8.85/9.06 tff(1172,plain,
% 8.85/9.06 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6))))),
% 8.85/9.06 inference(monotonicity,[status(thm)],[1171])).
% 8.85/9.06 tff(1173,plain,
% 8.85/9.06 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)))),
% 8.85/9.06 inference(transitivity,[status(thm)],[1172, 1170])).
% 8.85/9.06 tff(1174,plain,
% 8.85/9.06 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)))),
% 8.85/9.06 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1175,plain,
% 8.85/9.07 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c6))),
% 8.85/9.07 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 8.85/9.07 tff(1176,plain,
% 8.85/9.07 ((~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c4, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c6))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1175, 817, 844, 946, 822, 829, 603])).
% 8.85/9.07 tff(1177,plain,
% 8.85/9.07 ($false),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1176, 1167, 1169, 1168, 1095, 848])).
% 8.85/9.07 tff(1178,plain,(inverse(sk_c1) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 8.85/9.07 tff(1179,plain,
% 8.85/9.07 (sk_c8 = inverse(sk_c1)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1178])).
% 8.85/9.07 tff(1180,plain,
% 8.85/9.07 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1179])).
% 8.85/9.07 tff(1181,plain,
% 8.85/9.07 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1180])).
% 8.85/9.07 tff(1182,plain,
% 8.85/9.07 (multiply(sk_c8, sk_c2) = multiply(sk_c8, sk_c1)),
% 8.85/9.07 inference(transitivity,[status(thm)],[614, 617, 896, 1181])).
% 8.85/9.07 tff(1183,plain,
% 8.85/9.07 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1182])).
% 8.85/9.07 tff(1184,plain,
% 8.85/9.07 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1183])).
% 8.85/9.07 tff(1185,assumption,(~(multiply(sk_c7, sk_c6) = sk_c8)), introduced(assumption)).
% 8.85/9.07 tff(1186,plain,
% 8.85/9.07 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 8.85/9.07 inference(rewrite,[status(thm)],[])).
% 8.85/9.07 tff(1187,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 8.85/9.07 tff(1188,plain,
% 8.85/9.07 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.07 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 8.85/9.07 tff(1189,plain,
% 8.85/9.07 (multiply(sk_c1, sk_c8) = sk_c7),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1188, 1185])).
% 8.85/9.07 tff(1190,plain,
% 8.85/9.07 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, sk_c7)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1189])).
% 8.85/9.07 tff(1191,plain,
% 8.85/9.07 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1190])).
% 8.85/9.07 tff(1192,plain,
% 8.85/9.07 (sk_c8 = multiply(sk_c8, sk_c7)),
% 8.85/9.07 inference(transitivity,[status(thm)],[886, 620, 1183, 877, 1190])).
% 8.85/9.07 tff(1193,plain,
% 8.85/9.07 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1192])).
% 8.85/9.07 tff(1194,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c5, sk_c8)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1193])).
% 8.85/9.07 tff(1195,plain,
% 8.85/9.07 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 8.85/9.07 inference(rewrite,[status(thm)],[])).
% 8.85/9.07 tff(1196,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_25')).
% 8.85/9.07 tff(1197,plain,
% 8.85/9.07 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 8.85/9.07 inference(modus_ponens,[status(thm)],[1196, 1195])).
% 8.85/9.07 tff(1198,plain,
% 8.85/9.07 (multiply(sk_c2, sk_c8) = sk_c3),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1197, 1185])).
% 8.85/9.07 tff(1199,plain,
% 8.85/9.07 (sk_c3 = multiply(sk_c2, sk_c8)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1198])).
% 8.85/9.07 tff(1200,plain,
% 8.85/9.07 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1199])).
% 8.85/9.07 tff(1201,plain,
% 8.85/9.07 (((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 8.85/9.07 inference(rewrite,[status(thm)],[])).
% 8.85/9.07 tff(1202,plain,
% 8.85/9.07 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 8.85/9.07 inference(rewrite,[status(thm)],[])).
% 8.85/9.07 tff(1203,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 8.85/9.07 tff(1204,plain,
% 8.85/9.07 ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 8.85/9.07 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 8.85/9.07 tff(1205,plain,
% 8.85/9.07 ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 8.85/9.07 inference(modus_ponens,[status(thm)],[1204, 1201])).
% 8.85/9.07 tff(1206,plain,
% 8.85/9.07 (multiply(sk_c8, sk_c3) = sk_c7),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1205, 1185])).
% 8.85/9.07 tff(1207,plain,
% 8.85/9.07 (sk_c7 = multiply(sk_c8, sk_c3)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1206])).
% 8.85/9.07 tff(1208,plain,
% 8.85/9.07 (sk_c7 = sk_c6),
% 8.85/9.07 inference(transitivity,[status(thm)],[1207, 1200, 911, 1183, 877, 1190, 817])).
% 8.85/9.07 tff(1209,plain,
% 8.85/9.07 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1200])).
% 8.85/9.07 tff(1210,plain,
% 8.85/9.07 (inverse(sk_c7) = sk_c7),
% 8.85/9.07 inference(transitivity,[status(thm)],[946, 838, 1191, 889, 1184, 909, 1209, 1206])).
% 8.85/9.07 tff(1211,plain,
% 8.85/9.07 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c7, sk_c6)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1210, 1208])).
% 8.85/9.07 tff(1212,plain,
% 8.85/9.07 (multiply(sk_c7, sk_c6) = multiply(inverse(sk_c7), sk_c7)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1211])).
% 8.85/9.07 tff(1213,plain,
% 8.85/9.07 (multiply(sk_c7, sk_c6) = sk_c8),
% 8.85/9.07 inference(transitivity,[status(thm)],[1212, 1090, 134, 1194, 1010, 838, 1191, 889, 1184, 621, 9])).
% 8.85/9.07 tff(1214,plain,
% 8.85/9.07 ($false),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1185, 1213])).
% 8.85/9.07 tff(1215,plain,(multiply(sk_c7, sk_c6) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 8.85/9.07 tff(1216,plain,
% 8.85/9.07 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[838])).
% 8.85/9.07 tff(1217,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(sk_c7, sk_c6)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1216])).
% 8.85/9.07 tff(1218,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1219,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1218, 21])).
% 8.85/9.07 tff(1220,plain,
% 8.85/9.07 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(identity, sk_c2))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1059])).
% 8.85/9.07 tff(1221,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(identity, sk_c2)) = multiply(sk_c7, sk_c2)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1220])).
% 8.85/9.07 tff(1222,plain,
% 8.85/9.07 (sk_c8 = multiply(sk_c7, sk_c6)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1215])).
% 8.85/9.07 tff(1223,plain,
% 8.85/9.07 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1222])).
% 8.85/9.07 tff(1224,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c8, sk_c7)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1223])).
% 8.85/9.07 tff(1225,plain,
% 8.85/9.07 (multiply(sk_c7, identity) = sk_c6),
% 8.85/9.07 inference(transitivity,[status(thm)],[1027, 140, 1224, 817])).
% 8.85/9.07 tff(1226,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, identity), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1225])).
% 8.85/9.07 tff(1227,plain,
% 8.85/9.07 (multiply(sk_c6, sk_c2) = multiply(multiply(sk_c7, identity), sk_c2)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1226])).
% 8.85/9.07 tff(1228,plain,
% 8.85/9.07 (sk_c7 = multiply(sk_c7, sk_c2)),
% 8.85/9.07 inference(transitivity,[status(thm)],[278, 951, 954, 1012, 1015, 1023, 1083, 1025, 1227, 1035, 1221])).
% 8.85/9.07 tff(1229,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c7, sk_c2))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1228])).
% 8.85/9.07 tff(1230,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1229])).
% 8.85/9.07 tff(1231,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c7, sk_c2)))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1232,plain,
% 8.85/9.07 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c7, sk_c2))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1231, 21])).
% 8.85/9.07 tff(1233,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c8), sk_c7) = inverse(sk_c2)),
% 8.85/9.07 inference(transitivity,[status(thm)],[1219, 1217, 1215, 613])).
% 8.85/9.07 tff(1234,plain,
% 8.85/9.07 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c7), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1233])).
% 8.85/9.07 tff(1235,plain,
% 8.85/9.07 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c7), sk_c2)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1234])).
% 8.85/9.07 tff(1236,plain,
% 8.85/9.07 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c7, multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, sk_c5))) = identity)),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1237,plain,
% 8.85/9.07 (multiply(inverse(multiply(sk_c7, multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, sk_c5))) = identity),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1236, 62])).
% 8.85/9.07 tff(1238,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c5) = multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1239,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c7), sk_c5) = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1238, 21])).
% 8.85/9.07 tff(1240,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c5, sk_c8)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1215])).
% 8.85/9.07 tff(1241,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c8, sk_c7)),
% 8.85/9.07 inference(transitivity,[status(thm)],[97, 1240, 1010, 838])).
% 8.85/9.07 tff(1242,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), sk_c6)) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1241])).
% 8.85/9.07 tff(1243,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6) = identity),
% 8.85/9.07 inference(transitivity,[status(thm)],[1077, 1242, 135, 1072, 89])).
% 8.85/9.07 tff(1244,plain,
% 8.85/9.07 (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), multiply(sk_c7, sk_c7)) = multiply(identity, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1243])).
% 8.85/9.07 tff(1245,plain,
% 8.85/9.07 (multiply(sk_c6, sk_c2) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(transitivity,[status(thm)],[1026, 736, 1024, 1016, 1013])).
% 8.85/9.07 tff(1246,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1245])).
% 8.85/9.07 tff(1247,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c5, multiply(multiply(sk_c5, sk_c7), sk_c6))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1242])).
% 8.85/9.07 tff(1248,plain,
% 8.85/9.07 (identity = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6)),
% 8.85/9.07 inference(transitivity,[status(thm)],[105, 1090, 134, 1247, 1088])).
% 8.85/9.07 tff(1249,plain,
% 8.85/9.07 (multiply(identity, sk_c2) = multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c2)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1248])).
% 8.85/9.07 tff(1250,plain,
% 8.85/9.07 (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[838])).
% 8.85/9.07 tff(1251,plain,
% 8.85/9.07 (multiply(sk_c5, sk_c6) = identity),
% 8.85/9.07 inference(transitivity,[status(thm)],[1250, 135, 1072, 89])).
% 8.85/9.07 tff(1252,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(identity, sk_c2)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1251])).
% 8.85/9.07 tff(1253,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c5, multiply(sk_c6, sk_c2)))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1254,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c5, multiply(sk_c6, sk_c2))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1253, 21])).
% 8.85/9.07 tff(1255,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c5, sk_c6), sk_c2)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1254])).
% 8.85/9.07 tff(1256,plain,
% 8.85/9.07 (sk_c7 = multiply(sk_c6, sk_c2)),
% 8.85/9.07 inference(transitivity,[status(thm)],[278, 951, 954, 1012, 1015, 1023, 1083, 1025])).
% 8.85/9.07 tff(1257,plain,
% 8.85/9.07 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c2))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1256])).
% 8.85/9.07 tff(1258,plain,
% 8.85/9.07 (multiply(sk_c5, sk_c7) = multiply(sk_c7, sk_c7)),
% 8.85/9.07 inference(transitivity,[status(thm)],[1257, 1255, 1252, 1249, 1081, 1246, 1107, 1244, 825])).
% 8.85/9.07 tff(1259,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c7), sk_c5)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1258])).
% 8.85/9.07 tff(1260,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c5, sk_c7), sk_c5)),
% 8.85/9.07 inference(symmetry,[status(thm)],[238])).
% 8.85/9.07 tff(1261,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 8.85/9.07 inference(transitivity,[status(thm)],[1260, 1259, 1239])).
% 8.85/9.07 tff(1262,plain,
% 8.85/9.07 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1263,plain,
% 8.85/9.07 (multiply(identity, sk_c5) = sk_c5),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1262, 7])).
% 8.85/9.07 tff(1264,plain,
% 8.85/9.07 (sk_c7 = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(transitivity,[status(thm)],[278, 951, 954])).
% 8.85/9.07 tff(1265,plain,
% 8.85/9.07 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1264])).
% 8.85/9.07 tff(1266,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(sk_c7, sk_c7)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1265])).
% 8.85/9.07 tff(1267,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7)) = multiply(sk_c8, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1215])).
% 8.85/9.07 tff(1268,plain,
% 8.85/9.07 (multiply(sk_c8, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1267])).
% 8.85/9.07 tff(1269,plain,
% 8.85/9.07 (identity = multiply(sk_c7, sk_c7)),
% 8.85/9.07 inference(transitivity,[status(thm)],[105, 1119, 1020, 1268, 1053, 1266])).
% 8.85/9.07 tff(1270,plain,
% 8.85/9.07 (multiply(identity, sk_c5) = multiply(multiply(sk_c7, sk_c7), sk_c5)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1269])).
% 8.85/9.07 tff(1271,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c7), sk_c5) = multiply(identity, sk_c5)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1270])).
% 8.85/9.07 tff(1272,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, sk_c7), sk_c5)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1239])).
% 8.85/9.07 tff(1273,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = sk_c5),
% 8.85/9.07 inference(transitivity,[status(thm)],[1272, 1271, 1263])).
% 8.85/9.07 tff(1274,plain,
% 8.85/9.07 (inverse(multiply(sk_c7, multiply(sk_c7, sk_c5))) = inverse(sk_c5)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1273])).
% 8.85/9.07 tff(1275,plain,
% 8.85/9.07 (inverse(sk_c5) = inverse(multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1274])).
% 8.85/9.07 tff(1276,plain,
% 8.85/9.07 (multiply(sk_c6, sk_c7) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(transitivity,[status(thm)],[948, 1119, 1020, 1268, 1053])).
% 8.85/9.07 tff(1277,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7))))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1276])).
% 8.85/9.07 tff(1278,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7)))) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1277])).
% 8.85/9.07 tff(1279,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7)))))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1280,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7))))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1279, 21])).
% 8.85/9.07 tff(1281,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, sk_c7), sk_c7)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1147])).
% 8.85/9.07 tff(1282,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1281])).
% 8.85/9.07 tff(1283,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c7) = multiply(sk_c7, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1284,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c7), sk_c7) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1283, 21])).
% 8.85/9.07 tff(1285,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, sk_c7), sk_c7)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1284])).
% 8.85/9.07 tff(1286,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1264])).
% 8.85/9.07 tff(1287,plain,
% 8.85/9.07 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1286])).
% 8.85/9.07 tff(1288,plain,
% 8.85/9.07 (multiply(sk_c7, sk_c7) = multiply(identity, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(symmetry,[status(thm)],[825])).
% 8.85/9.07 tff(1289,plain,
% 8.85/9.07 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1147, 1288])).
% 8.85/9.07 tff(1290,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c7)), multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1289])).
% 8.85/9.07 tff(1291,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c7))))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1292,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1291, 21])).
% 8.85/9.07 tff(1293,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1225])).
% 8.85/9.07 tff(1294,plain,
% 8.85/9.07 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(symmetry,[status(thm)],[1293])).
% 8.85/9.07 tff(1295,plain,
% 8.85/9.07 (sk_c7 = sk_c6),
% 8.85/9.07 inference(transitivity,[status(thm)],[278, 951, 954, 1294, 1292, 1290, 1287, 1285, 1282, 1280, 1278, 140, 1224, 817])).
% 8.85/9.07 tff(1296,plain,
% 8.85/9.07 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (multiply(sk_c1, sk_c8) = sk_c6)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1295])).
% 8.85/9.07 tff(1297,plain,
% 8.85/9.07 ((multiply(sk_c1, sk_c8) = sk_c6) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1296])).
% 8.85/9.07 tff(1298,plain,
% 8.85/9.07 (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c2) = multiply(identity, sk_c2)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1249])).
% 8.85/9.07 tff(1299,plain,
% 8.85/9.07 (multiply(sk_c8, sk_c1) = multiply(sk_c8, multiply(sk_c7, sk_c7))),
% 8.85/9.07 inference(transitivity,[status(thm)],[1180, 879, 105, 1119, 1020])).
% 8.85/9.07 tff(1300,plain,
% 8.85/9.07 (multiply(sk_c5, multiply(sk_c8, sk_c1)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c7, sk_c7)))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1299])).
% 8.85/9.07 tff(1301,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c1) = multiply(sk_c5, multiply(sk_c8, sk_c1)))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1302,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, sk_c8), sk_c1) = multiply(sk_c5, multiply(sk_c8, sk_c1))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1301, 21])).
% 8.85/9.07 tff(1303,plain,
% 8.85/9.07 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c5, sk_c8), sk_c1)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1011])).
% 8.85/9.07 tff(1304,plain,
% 8.85/9.07 (multiply(sk_c6, sk_c1) = multiply(sk_c6, sk_c2)),
% 8.85/9.07 inference(transitivity,[status(thm)],[1303, 1302, 1300, 1023, 1083, 1025])).
% 8.85/9.07 tff(1305,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c1)) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1304])).
% 8.85/9.07 tff(1306,plain,
% 8.85/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c1) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c1)))),
% 8.85/9.07 inference(quant_inst,[status(thm)],[])).
% 8.85/9.07 tff(1307,plain,
% 8.85/9.07 (multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c1) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c1))),
% 8.85/9.07 inference(unit_resolution,[status(thm)],[1306, 21])).
% 8.85/9.07 tff(1308,plain,
% 8.85/9.07 (multiply(identity, sk_c1) = multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), sk_c1)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1248])).
% 8.85/9.07 tff(1309,plain,
% 8.85/9.07 (sk_c1 = multiply(identity, sk_c1)),
% 8.85/9.07 inference(symmetry,[status(thm)],[888])).
% 8.85/9.07 tff(1310,plain,
% 8.85/9.07 (sk_c1 = sk_c2),
% 8.85/9.07 inference(transitivity,[status(thm)],[1309, 1308, 1307, 1305, 1082, 1298, 1038])).
% 8.85/9.07 tff(1311,plain,
% 8.85/9.07 (multiply(sk_c1, sk_c8) = multiply(sk_c2, sk_c8)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1310])).
% 8.85/9.07 tff(1312,plain,
% 8.85/9.07 ((multiply(sk_c1, sk_c8) = sk_c6) <=> (multiply(sk_c2, sk_c8) = sk_c6)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1311])).
% 8.85/9.07 tff(1313,plain,
% 8.85/9.07 ((multiply(sk_c2, sk_c8) = sk_c6) <=> (multiply(sk_c1, sk_c8) = sk_c6)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1312])).
% 8.85/9.07 tff(1314,plain,
% 8.85/9.07 ((sk_c8 = inverse(sk_c7)) <=> (inverse(sk_c7) = sk_c8)),
% 8.85/9.07 inference(commutativity,[status(thm)],[])).
% 8.85/9.07 tff(1315,plain,
% 8.85/9.07 (multiply(multiply(sk_c5, sk_c7), sk_c6) = inverse(sk_c7)),
% 8.85/9.07 inference(transitivity,[status(thm)],[97, 1240, 1010, 947])).
% 8.85/9.07 tff(1316,plain,
% 8.85/9.07 (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1315])).
% 8.85/9.07 tff(1317,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c7), sk_c2)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1232])).
% 8.85/9.07 tff(1318,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1219])).
% 8.85/9.07 tff(1319,plain,
% 8.85/9.07 (sk_c8 = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 8.85/9.07 inference(transitivity,[status(thm)],[1222, 1216, 1318])).
% 8.85/9.07 tff(1320,plain,
% 8.85/9.07 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 8.85/9.07 inference(monotonicity,[status(thm)],[1319])).
% 8.85/9.07 tff(1321,plain,
% 8.85/9.07 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)) = multiply(sk_c7, sk_c8)),
% 8.85/9.07 inference(symmetry,[status(thm)],[1320])).
% 8.85/9.07 tff(1322,plain,
% 8.85/9.07 (multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c7, sk_c2))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1321])).
% 8.91/9.07 tff(1323,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), multiply(sk_c7, sk_c2)) = multiply(sk_c6, sk_c7)),
% 8.91/9.07 inference(transitivity,[status(thm)],[1322, 1317, 1234, 617, 105, 949])).
% 8.91/9.07 tff(1324,plain,
% 8.91/9.07 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), multiply(sk_c7, sk_c2))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1323])).
% 8.91/9.07 tff(1325,plain,
% 8.91/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), multiply(sk_c7, sk_c2))))),
% 8.91/9.07 inference(quant_inst,[status(thm)],[])).
% 8.91/9.07 tff(1326,plain,
% 8.91/9.07 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), multiply(sk_c7, sk_c2)))),
% 8.91/9.07 inference(unit_resolution,[status(thm)],[1325, 21])).
% 8.91/9.07 tff(1327,plain,
% 8.91/9.07 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))), multiply(sk_c7, sk_c2))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1228])).
% 8.91/9.07 tff(1328,plain,
% 8.91/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), sk_c7)))),
% 8.91/9.07 inference(quant_inst,[status(thm)],[])).
% 8.91/9.07 tff(1329,plain,
% 8.91/9.07 (multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), sk_c7))),
% 8.91/9.07 inference(unit_resolution,[status(thm)],[1328, 21])).
% 8.91/9.07 tff(1330,plain,
% 8.91/9.07 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), sk_c7)) = multiply(multiply(multiply(sk_c5, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))), sk_c7)),
% 8.91/9.07 inference(symmetry,[status(thm)],[1329])).
% 8.91/9.07 tff(1331,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), sk_c7) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1321])).
% 8.91/9.07 tff(1332,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), sk_c7)),
% 8.91/9.07 inference(symmetry,[status(thm)],[1331])).
% 8.91/9.07 tff(1333,plain,
% 8.91/9.07 (sk_c8 = multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), sk_c7)),
% 8.91/9.07 inference(transitivity,[status(thm)],[1222, 1216, 1318, 1332])).
% 8.91/9.07 tff(1334,plain,
% 8.91/9.07 (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)), sk_c7))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1333])).
% 8.91/9.07 tff(1335,plain,
% 8.91/9.07 (multiply(sk_c5, multiply(sk_c6, sk_c2)) = multiply(sk_c5, sk_c7)),
% 8.91/9.07 inference(symmetry,[status(thm)],[1257])).
% 8.91/9.07 tff(1336,plain,
% 8.91/9.07 (multiply(identity, sk_c2) = multiply(multiply(sk_c5, sk_c6), sk_c2)),
% 8.91/9.07 inference(symmetry,[status(thm)],[1252])).
% 8.91/9.07 tff(1337,plain,
% 8.91/9.07 (sk_c2 = multiply(sk_c5, sk_c7)),
% 8.91/9.07 inference(transitivity,[status(thm)],[1059, 1336, 1254, 1335])).
% 8.91/9.07 tff(1338,plain,
% 8.91/9.07 (multiply(sk_c2, sk_c8) = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1337])).
% 8.91/9.07 tff(1339,plain,
% 8.91/9.07 (multiply(sk_c2, sk_c8) = sk_c8),
% 8.91/9.07 inference(transitivity,[status(thm)],[1338, 1334, 1330, 1327, 1326, 1324, 102, 1316, 89, 618, 1235, 1232, 1230, 1219, 1217, 1215])).
% 8.91/9.07 tff(1340,plain,
% 8.91/9.07 ((multiply(sk_c2, sk_c8) = sk_c6) <=> (sk_c8 = inverse(sk_c7))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1339, 947])).
% 8.91/9.07 tff(1341,plain,
% 8.91/9.07 ((multiply(sk_c2, sk_c8) = sk_c6) <=> (inverse(sk_c7) = sk_c8)),
% 8.91/9.07 inference(transitivity,[status(thm)],[1340, 1314])).
% 8.91/9.07 tff(1342,plain,
% 8.91/9.07 ((inverse(sk_c7) = sk_c8) <=> (multiply(sk_c2, sk_c8) = sk_c6)),
% 8.91/9.07 inference(symmetry,[status(thm)],[1341])).
% 8.91/9.07 tff(1343,plain,
% 8.91/9.07 ((inverse(sk_c7) = sk_c8) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 8.91/9.07 inference(transitivity,[status(thm)],[1342, 1313, 1297])).
% 8.91/9.07 tff(1344,plain,
% 8.91/9.07 ((~(inverse(sk_c7) = sk_c8)) <=> (~(multiply(sk_c1, sk_c8) = sk_c7))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1343])).
% 8.91/9.07 tff(1345,plain,
% 8.91/9.07 (multiply(sk_c7, multiply(identity, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c7))),
% 8.91/9.07 inference(symmetry,[status(thm)],[1292])).
% 8.91/9.07 tff(1346,plain,
% 8.91/9.07 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, multiply(sk_c7, sk_c7)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.91/9.07 inference(symmetry,[status(thm)],[1280])).
% 8.91/9.07 tff(1347,plain,
% 8.91/9.07 (multiply(sk_c8, sk_c2) = multiply(sk_c6, sk_c7)),
% 8.91/9.07 inference(transitivity,[status(thm)],[614, 617, 105, 949])).
% 8.91/9.07 tff(1348,plain,
% 8.91/9.07 (multiply(sk_c7, multiply(sk_c8, sk_c2)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1347])).
% 8.91/9.07 tff(1349,plain,
% 8.91/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(sk_c7, multiply(sk_c8, sk_c2)))),
% 8.91/9.07 inference(quant_inst,[status(thm)],[])).
% 8.91/9.07 tff(1350,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(sk_c7, multiply(sk_c8, sk_c2))),
% 8.91/9.07 inference(unit_resolution,[status(thm)],[1349, 21])).
% 8.91/9.07 tff(1351,plain,
% 8.91/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)))),
% 8.91/9.07 inference(quant_inst,[status(thm)],[])).
% 8.91/9.07 tff(1352,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 8.91/9.07 inference(unit_resolution,[status(thm)],[1351, 21])).
% 8.91/9.07 tff(1353,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7) = multiply(sk_c7, sk_c8)),
% 8.91/9.07 inference(transitivity,[status(thm)],[1352, 1321])).
% 8.91/9.07 tff(1354,plain,
% 8.91/9.07 (multiply(multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c8), sk_c2)),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1353])).
% 8.91/9.07 tff(1355,plain,
% 8.91/9.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c7, sk_c2)))),
% 8.91/9.07 inference(quant_inst,[status(thm)],[])).
% 8.91/9.07 tff(1356,plain,
% 8.91/9.07 (multiply(multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c7, sk_c2))),
% 8.91/9.07 inference(unit_resolution,[status(thm)],[1355, 21])).
% 8.91/9.07 tff(1357,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7), sk_c2)),
% 8.91/9.07 inference(symmetry,[status(thm)],[1356])).
% 8.91/9.07 tff(1358,plain,
% 8.91/9.07 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c7, sk_c2))),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1228])).
% 8.91/9.07 tff(1359,plain,
% 8.91/9.07 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7)),
% 8.91/9.07 inference(symmetry,[status(thm)],[1352])).
% 8.91/9.07 tff(1360,plain,
% 8.91/9.07 (multiply(sk_c7, multiply(sk_c7, sk_c6)) = multiply(sk_c7, sk_c8)),
% 8.91/9.07 inference(monotonicity,[status(thm)],[1215])).
% 8.91/9.07 tff(1361,plain,
% 8.91/9.07 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)) = sk_c6),
% 8.91/9.07 inference(transitivity,[status(thm)],[1359, 1358, 1357, 1354, 1350, 1348, 140, 1224, 817])).
% 8.91/9.07 tff(1362,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))) = multiply(multiply(sk_c7, sk_c7), sk_c6)),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1361])).
% 8.91/9.08 tff(1363,plain,
% 8.91/9.08 (sk_c8 = multiply(sk_c7, sk_c7)),
% 8.91/9.08 inference(transitivity,[status(thm)],[1222, 1216, 1318, 1229, 1317, 1234, 617, 105, 1119, 1020, 1268, 1053, 1266])).
% 8.91/9.08 tff(1364,plain,
% 8.91/9.08 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1363, 1320])).
% 8.91/9.08 tff(1365,plain,
% 8.91/9.08 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7),
% 8.91/9.08 inference(transitivity,[status(thm)],[1364, 1362, 772, 1360, 1320, 1359, 1358, 1357, 1354, 1350, 1348, 1277, 1346, 1281, 1284, 1286, 1289, 1345, 1293, 955, 952, 277])).
% 8.91/9.08 tff(1366,plain,
% 8.91/9.08 ((multiply(sk_c7, sk_c8) = sk_c7) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1295])).
% 8.91/9.08 tff(1367,plain,
% 8.91/9.08 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (multiply(sk_c7, sk_c8) = sk_c7)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1366])).
% 8.91/9.08 tff(1368,plain,
% 8.91/9.08 (multiply(sk_c7, sk_c8) = sk_c6),
% 8.91/9.08 inference(transitivity,[status(thm)],[1320, 1359, 1358, 1357, 1354, 1350, 1348, 140, 1224, 817])).
% 8.91/9.08 tff(1369,plain,
% 8.91/9.08 (multiply(sk_c7, sk_c8) = sk_c7),
% 8.91/9.08 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 8.91/9.08 tff(1370,plain,
% 8.91/9.08 (multiply(sk_c7, sk_c7) = sk_c8),
% 8.91/9.08 inference(transitivity,[status(thm)],[1265, 1054, 1267, 1021, 1018, 89, 618, 1235, 1232, 1230, 1219, 1217, 1215])).
% 8.91/9.08 tff(1371,plain,
% 8.91/9.08 (inverse(sk_c7) = sk_c7),
% 8.91/9.08 inference(transitivity,[status(thm)],[946, 838, 1223, 139, 1277, 1346, 1281, 1284, 1286, 1289, 1345, 1293, 955, 952, 277])).
% 8.91/9.08 tff(1372,plain,
% 8.91/9.08 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 8.91/9.08 inference(rewrite,[status(thm)],[])).
% 8.91/9.08 tff(1373,plain,
% 8.91/9.08 (((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 8.91/9.08 inference(rewrite,[status(thm)],[])).
% 8.91/9.08 tff(1374,plain,
% 8.91/9.08 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1373])).
% 8.91/9.08 tff(1375,plain,
% 8.91/9.08 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 8.91/9.08 inference(transitivity,[status(thm)],[1374, 1372])).
% 8.91/9.08 tff(1376,plain,
% 8.91/9.08 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 8.91/9.08 inference(quant_inst,[status(thm)],[])).
% 8.91/9.08 tff(1377,plain,
% 8.91/9.08 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))),
% 8.91/9.08 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 8.91/9.08 tff(1378,plain,
% 8.91/9.08 ((~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1377, 817, 946, 603])).
% 8.91/9.08 tff(1379,plain,
% 8.91/9.08 (~(inverse(sk_c7) = sk_c8)),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1378, 1368, 1215, 1371, 1370, 1369, 1365])).
% 8.91/9.08 tff(1380,plain,
% 8.91/9.08 (~(multiply(sk_c1, sk_c8) = sk_c7)),
% 8.91/9.08 inference(modus_ponens,[status(thm)],[1379, 1344])).
% 8.91/9.08 tff(1381,plain,
% 8.91/9.08 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 8.91/9.08 inference(rewrite,[status(thm)],[])).
% 8.91/9.08 tff(1382,plain,
% 8.91/9.08 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7))),
% 8.91/9.08 inference(rewrite,[status(thm)],[])).
% 8.91/9.08 tff(1383,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 8.91/9.08 tff(1384,plain,
% 8.91/9.08 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 8.91/9.08 inference(modus_ponens,[status(thm)],[1383, 1382])).
% 8.91/9.08 tff(1385,plain,
% 8.91/9.08 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c7)),
% 8.91/9.08 inference(modus_ponens,[status(thm)],[1384, 1381])).
% 8.91/9.08 tff(1386,plain,
% 8.91/9.08 (inverse(sk_c5) = sk_c8),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1385, 1380])).
% 8.91/9.08 tff(1387,plain,
% 8.91/9.08 (sk_c8 = inverse(sk_c5)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1386])).
% 8.91/9.08 tff(1388,plain,
% 8.91/9.08 (multiply(sk_c7, sk_c7) = inverse(multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(transitivity,[status(thm)],[1265, 1054, 1267, 1021, 1018, 89, 618, 1235, 1232, 1230, 1219, 1217, 1215, 1387, 1275])).
% 8.91/9.08 tff(1389,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(inverse(multiply(sk_c7, multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1388, 1261])).
% 8.91/9.08 tff(1390,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c7), sk_c5) = multiply(multiply(sk_c5, sk_c7), sk_c5)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1259])).
% 8.91/9.08 tff(1391,plain,
% 8.91/9.08 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 8.91/9.08 inference(transitivity,[status(thm)],[1272, 1390, 238])).
% 8.91/9.08 tff(1392,plain,
% 8.91/9.08 (multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1269, 1391])).
% 8.91/9.08 tff(1393,plain,
% 8.91/9.08 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c5))) = multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(quant_inst,[status(thm)],[])).
% 8.91/9.08 tff(1394,plain,
% 8.91/9.08 (multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c5))) = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1393, 7])).
% 8.91/9.08 tff(1395,plain,
% 8.91/9.08 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1394])).
% 8.91/9.08 tff(1396,plain,
% 8.91/9.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c2) = multiply(sk_c8, multiply(sk_c7, sk_c2)))),
% 8.91/9.08 inference(quant_inst,[status(thm)],[])).
% 8.91/9.08 tff(1397,plain,
% 8.91/9.08 (multiply(multiply(sk_c8, sk_c7), sk_c2) = multiply(sk_c8, multiply(sk_c7, sk_c2))),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1396, 21])).
% 8.91/9.08 tff(1398,plain,
% 8.91/9.08 (multiply(multiply(sk_c8, sk_c7), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.91/9.08 inference(monotonicity,[status(thm)],[817])).
% 8.91/9.08 tff(1399,plain,
% 8.91/9.08 (multiply(sk_c6, sk_c2) = multiply(multiply(sk_c8, sk_c7), sk_c2)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1398])).
% 8.91/9.08 tff(1400,plain,
% 8.91/9.08 (sk_c7 = multiply(sk_c8, multiply(sk_c7, sk_c2))),
% 8.91/9.08 inference(transitivity,[status(thm)],[278, 951, 954, 1012, 1015, 1023, 1083, 1025, 1399, 1397])).
% 8.91/9.08 tff(1401,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, sk_c2)))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1400])).
% 8.91/9.08 tff(1402,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, sk_c2))) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1401])).
% 8.91/9.08 tff(1403,plain,
% 8.91/9.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, sk_c2))))),
% 8.91/9.08 inference(quant_inst,[status(thm)],[])).
% 8.91/9.08 tff(1404,plain,
% 8.91/9.08 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c8, multiply(sk_c7, sk_c2)))),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1403, 21])).
% 8.91/9.08 tff(1405,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c5), sk_c8) = sk_c8),
% 8.91/9.08 inference(transitivity,[status(thm)],[23, 1163, 1215])).
% 8.91/9.08 tff(1406,plain,
% 8.91/9.08 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, sk_c2)) = multiply(sk_c8, multiply(sk_c7, sk_c2))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1405])).
% 8.91/9.08 tff(1407,plain,
% 8.91/9.08 (multiply(sk_c8, multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c8), multiply(sk_c7, sk_c2))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1406])).
% 8.91/9.08 tff(1408,plain,
% 8.91/9.08 (sk_c7 = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 8.91/9.08 inference(transitivity,[status(thm)],[278, 951, 954, 1012, 1015, 1023, 1083, 1025, 1399, 1397, 1407, 1404, 1402, 307])).
% 8.91/9.08 tff(1409,plain,
% 8.91/9.08 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c5)),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1408])).
% 8.91/9.08 tff(1410,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c5) = multiply(sk_c7, sk_c5)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1409])).
% 8.91/9.08 tff(1411,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c5) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5)),
% 8.91/9.08 inference(monotonicity,[status(thm)],[308])).
% 8.91/9.08 tff(1412,plain,
% 8.91/9.08 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c7)), sk_c5)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1411])).
% 8.91/9.08 tff(1413,plain,
% 8.91/9.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(quant_inst,[status(thm)],[])).
% 8.91/9.08 tff(1414,plain,
% 8.91/9.08 (multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1413, 21])).
% 8.91/9.08 tff(1415,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c5), sk_c7), sk_c5)),
% 8.91/9.08 inference(symmetry,[status(thm)],[1414])).
% 8.91/9.08 tff(1416,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c7, sk_c5)),
% 8.91/9.08 inference(transitivity,[status(thm)],[1415, 1412, 1410])).
% 8.91/9.08 tff(1417,plain,
% 8.91/9.08 (multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1416])).
% 8.91/9.08 tff(1418,plain,
% 8.91/9.08 (multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1416, 1416])).
% 8.91/9.08 tff(1419,plain,
% 8.91/9.08 (multiply(sk_c5, multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1418])).
% 8.91/9.08 tff(1420,plain,
% 8.91/9.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(sk_c5, multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))))),
% 8.91/9.08 inference(quant_inst,[status(thm)],[])).
% 8.91/9.08 tff(1421,plain,
% 8.91/9.08 (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(sk_c5, multiply(multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))))),
% 8.91/9.08 inference(unit_resolution,[status(thm)],[1420, 21])).
% 8.91/9.08 tff(1422,plain,
% 8.91/9.08 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1417])).
% 8.91/9.08 tff(1423,plain,
% 8.91/9.08 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(transitivity,[status(thm)],[1272, 1390, 238, 1422])).
% 8.91/9.08 tff(1424,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1423])).
% 8.91/9.08 tff(1425,plain,
% 8.91/9.08 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(identity, multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1392])).
% 8.91/9.08 tff(1426,plain,
% 8.91/9.08 (multiply(inverse(multiply(sk_c7, multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1389])).
% 8.91/9.08 tff(1427,plain,
% 8.91/9.08 (identity = multiply(inverse(multiply(sk_c7, multiply(sk_c7, sk_c5))), multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1237])).
% 8.91/9.08 tff(1428,plain,
% 8.91/9.08 (multiply(sk_c5, sk_c7) = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 8.91/9.08 inference(transitivity,[status(thm)],[1257, 1255, 1252, 1249, 1081, 1246, 1107, 1244, 825, 1265, 1054, 1267, 1021, 1018, 89, 1427, 1426, 1425, 1394])).
% 8.91/9.08 tff(1429,plain,
% 8.91/9.08 (multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c5)), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.08 inference(monotonicity,[status(thm)],[1428])).
% 8.91/9.08 tff(1430,plain,
% 8.91/9.08 (multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), multiply(sk_c6, sk_c2))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1246])).
% 8.91/9.08 tff(1431,plain,
% 8.91/9.08 (multiply(identity, multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c5, sk_c7)), sk_c6), multiply(sk_c7, sk_c7))),
% 8.91/9.08 inference(symmetry,[status(thm)],[1244])).
% 8.91/9.08 tff(1432,plain,
% 8.91/9.08 (identity = multiply(sk_c5, sk_c7)),
% 8.91/9.08 inference(transitivity,[status(thm)],[105, 1119, 1020, 1268, 1053, 1266, 1288, 1431, 1087, 1430, 1082, 1298, 1336, 1254, 1335])).
% 8.91/9.08 tff(1433,plain,
% 8.91/9.08 (multiply(identity, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c5, sk_c7), multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.09 inference(monotonicity,[status(thm)],[1432])).
% 8.91/9.09 tff(1434,plain,
% 8.91/9.09 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.09 inference(quant_inst,[status(thm)],[])).
% 8.91/9.09 tff(1435,plain,
% 8.91/9.09 (multiply(identity, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))),
% 8.91/9.09 inference(unit_resolution,[status(thm)],[1434, 7])).
% 8.91/9.09 tff(1436,plain,
% 8.91/9.09 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(identity, multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)))),
% 8.91/9.09 inference(symmetry,[status(thm)],[1435])).
% 8.91/9.09 tff(1437,plain,
% 8.91/9.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))))),
% 8.91/9.09 inference(quant_inst,[status(thm)],[])).
% 8.91/9.09 tff(1438,plain,
% 8.91/9.09 (multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.91/9.09 inference(unit_resolution,[status(thm)],[1437, 21])).
% 8.91/9.09 tff(1439,plain,
% 8.91/9.09 (multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c5), multiply(sk_c7, sk_c5))),
% 8.91/9.09 inference(symmetry,[status(thm)],[1438])).
% 8.91/9.09 tff(1440,plain,
% 8.91/9.09 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, sk_c5))) = multiply(sk_c7, multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 8.91/9.09 inference(monotonicity,[status(thm)],[1391])).
% 8.91/9.09 tff(1441,plain,
% 8.91/9.09 (sk_c2 = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 8.91/9.09 inference(transitivity,[status(thm)],[1059, 1249, 1081, 1246, 1107, 1244, 825, 1265, 1054, 1267, 1021, 1018, 89, 1427, 1426, 1425, 1394])).
% 8.91/9.09 tff(1442,plain,
% 8.91/9.09 (sk_c6 = sk_c7),
% 8.91/9.09 inference(transitivity,[status(thm)],[838, 1223, 139, 1277, 1346, 1281, 1284, 1286, 1289, 1345, 1293, 955, 952, 277])).
% 8.91/9.09 tff(1443,plain,
% 8.91/9.09 (multiply(sk_c6, sk_c2) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 8.91/9.09 inference(monotonicity,[status(thm)],[1442, 1441])).
% 8.91/9.09 tff(1444,plain,
% 8.91/9.09 (inverse(sk_c7) = sk_c8),
% 8.91/9.09 inference(transitivity,[status(thm)],[946, 838, 1223, 139, 1277, 1346, 1281, 1284, 1286, 1289, 1345, 1293, 1012, 1015, 1023, 1083, 1025, 1443, 1440, 1439, 1436, 1433, 1429, 1424, 1421, 1419, 1417, 1260, 1259, 1239, 1395, 1392, 1389, 1237, 618, 1235, 1232, 1230, 1219, 1217, 1215])).
% 8.91/9.09 tff(1445,plain,
% 8.91/9.09 ($false),
% 8.91/9.09 inference(unit_resolution,[status(thm)],[1379, 1444])).
% 8.91/9.09 % SZS output end Proof
% 8.91/9.09 % E exiting
%------------------------------------------------------------------------------