%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP265-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:07:32 AM UTC 2025
% Result : Unsatisfiable 37.63s 37.80s
% Output : Proof 37.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP265-1 : TPTP v9.0.0. Released v2.5.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 15:52:03 EDT 2025
% 0.12/0.34 % CPUTime :
% 37.63/37.80 % SZS status Unsatisfiable
% 37.63/37.80 % SZS output start Proof
% 37.63/37.80 tff(sk_c9_type, type, (
% 37.63/37.80 sk_c9: $i)).
% 37.63/37.80 tff(inverse_type, type, (
% 37.63/37.80 inverse: $i > $i)).
% 37.63/37.80 tff(multiply_type, type, (
% 37.63/37.80 multiply: ( $i * $i ) > $i)).
% 37.63/37.80 tff(sk_c3_type, type, (
% 37.63/37.80 sk_c3: $i)).
% 37.63/37.80 tff(identity_type, type, (
% 37.63/37.80 identity: $i)).
% 37.63/37.80 tff(sk_c8_type, type, (
% 37.63/37.80 sk_c8: $i)).
% 37.63/37.80 tff(sk_c1_type, type, (
% 37.63/37.80 sk_c1: $i)).
% 37.63/37.80 tff(sk_c7_type, type, (
% 37.63/37.80 sk_c7: $i)).
% 37.63/37.80 tff(sk_c2_type, type, (
% 37.63/37.80 sk_c2: $i)).
% 37.63/37.80 tff(sk_c4_type, type, (
% 37.63/37.80 sk_c4: $i)).
% 37.63/37.80 tff(sk_c6_type, type, (
% 37.63/37.80 sk_c6: $i)).
% 37.63/37.80 tff(sk_c5_type, type, (
% 37.63/37.80 sk_c5: $i)).
% 37.63/37.80 tff(1,plain,
% 37.63/37.80 ((sk_c7 = inverse(sk_c2)) <=> (inverse(sk_c2) = sk_c7)),
% 37.63/37.80 inference(commutativity,[status(thm)],[])).
% 37.63/37.80 tff(2,assumption,(~(inverse(sk_c2) = sk_c8)), introduced(assumption)).
% 37.63/37.80 tff(3,plain,
% 37.63/37.80 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 37.63/37.80 inference(rewrite,[status(thm)],[])).
% 37.63/37.80 tff(4,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 37.63/37.80 tff(5,plain,
% 37.63/37.80 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[4, 3])).
% 37.63/37.80 tff(6,plain,
% 37.63/37.80 (multiply(sk_c7, sk_c6) = sk_c8),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[5, 2])).
% 37.63/37.80 tff(7,plain,
% 37.63/37.80 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c7) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c7) = sk_c6))),
% 37.63/37.80 inference(rewrite,[status(thm)],[])).
% 37.63/37.80 tff(8,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_27')).
% 37.63/37.80 tff(9,plain,
% 37.63/37.80 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c7) = sk_c6)),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[8, 7])).
% 37.63/37.80 tff(10,plain,
% 37.63/37.80 (multiply(sk_c5, sk_c7) = sk_c6),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[9, 2])).
% 37.63/37.80 tff(11,plain,
% 37.63/37.80 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(sk_c7, sk_c6)),
% 37.63/37.80 inference(monotonicity,[status(thm)],[10])).
% 37.63/37.80 tff(12,plain,
% 37.63/37.80 (^[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))))),
% 37.63/37.80 inference(bind,[status(th)],[])).
% 37.63/37.80 tff(13,plain,
% 37.63/37.80 (![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)))),
% 37.63/37.80 inference(quant_intro,[status(thm)],[12])).
% 37.63/37.80 tff(14,plain,
% 37.63/37.80 (![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)))),
% 37.63/37.80 inference(rewrite,[status(thm)],[])).
% 37.63/37.80 tff(15,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 37.63/37.80 tff(16,plain,
% 37.63/37.80 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[15, 14])).
% 37.63/37.80 tff(17,plain,(
% 37.63/37.80 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 37.63/37.80 inference(skolemize,[status(sab)],[16])).
% 37.63/37.80 tff(18,plain,
% 37.63/37.80 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[17, 13])).
% 37.63/37.80 tff(19,plain,
% 37.63/37.80 ((~![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)))),
% 37.63/37.80 inference(quant_inst,[status(thm)],[])).
% 37.63/37.80 tff(20,plain,
% 37.63/37.80 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[19, 18])).
% 37.63/37.80 tff(21,plain,
% 37.63/37.80 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7))),
% 37.63/37.80 inference(rewrite,[status(thm)],[])).
% 37.63/37.80 tff(22,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 37.63/37.80 tff(23,plain,
% 37.63/37.80 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c7)),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[22, 21])).
% 37.63/37.80 tff(24,plain,
% 37.63/37.80 (inverse(sk_c5) = sk_c7),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[23, 2])).
% 37.63/37.80 tff(25,plain,
% 37.63/37.80 (sk_c7 = inverse(sk_c5)),
% 37.63/37.80 inference(symmetry,[status(thm)],[24])).
% 37.63/37.80 tff(26,plain,
% 37.63/37.80 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 37.63/37.80 inference(monotonicity,[status(thm)],[25])).
% 37.63/37.80 tff(27,plain,
% 37.63/37.80 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c7, sk_c5)),
% 37.63/37.80 inference(symmetry,[status(thm)],[26])).
% 37.63/37.80 tff(28,plain,
% 37.63/37.80 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 37.63/37.80 inference(bind,[status(th)],[])).
% 37.63/37.80 tff(29,plain,
% 37.63/37.80 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 37.63/37.80 inference(quant_intro,[status(thm)],[28])).
% 37.63/37.80 tff(30,plain,
% 37.63/37.80 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 37.63/37.80 inference(rewrite,[status(thm)],[])).
% 37.63/37.80 tff(31,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 37.63/37.80 tff(32,plain,
% 37.63/37.80 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[31, 30])).
% 37.63/37.80 tff(33,plain,(
% 37.63/37.80 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 37.63/37.80 inference(skolemize,[status(sab)],[32])).
% 37.63/37.80 tff(34,plain,
% 37.63/37.80 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[33, 29])).
% 37.63/37.80 tff(35,plain,
% 37.63/37.80 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 37.63/37.80 inference(quant_inst,[status(thm)],[])).
% 37.63/37.80 tff(36,plain,
% 37.63/37.80 (multiply(inverse(sk_c5), sk_c5) = identity),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[35, 34])).
% 37.63/37.80 tff(37,plain,
% 37.63/37.80 (identity = multiply(inverse(sk_c5), sk_c5)),
% 37.63/37.80 inference(symmetry,[status(thm)],[36])).
% 37.63/37.80 tff(38,plain,
% 37.63/37.80 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 37.63/37.80 inference(quant_inst,[status(thm)],[])).
% 37.63/37.80 tff(39,plain,
% 37.63/37.80 (multiply(inverse(sk_c4), sk_c4) = identity),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[38, 34])).
% 37.63/37.80 tff(40,plain,
% 37.63/37.80 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7))),
% 37.63/37.80 inference(rewrite,[status(thm)],[])).
% 37.63/37.80 tff(41,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 37.63/37.80 tff(42,plain,
% 37.63/37.80 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 37.63/37.80 inference(modus_ponens,[status(thm)],[41, 40])).
% 37.63/37.80 tff(43,plain,
% 37.63/37.80 (inverse(sk_c4) = sk_c7),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[42, 2])).
% 37.63/37.80 tff(44,plain,
% 37.63/37.80 (sk_c7 = inverse(sk_c4)),
% 37.63/37.80 inference(symmetry,[status(thm)],[43])).
% 37.63/37.80 tff(45,plain,
% 37.63/37.80 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 37.63/37.80 inference(monotonicity,[status(thm)],[44])).
% 37.63/37.80 tff(46,plain,
% 37.63/37.80 (multiply(sk_c7, sk_c4) = multiply(sk_c7, sk_c5)),
% 37.63/37.80 inference(transitivity,[status(thm)],[45, 39, 37, 27])).
% 37.63/37.80 tff(47,plain,
% 37.63/37.80 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 37.63/37.80 inference(monotonicity,[status(thm)],[46])).
% 37.63/37.80 tff(48,plain,
% 37.63/37.80 ((~![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)))),
% 37.63/37.80 inference(quant_inst,[status(thm)],[])).
% 37.63/37.80 tff(49,plain,
% 37.63/37.80 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c7))),
% 37.63/37.80 inference(unit_resolution,[status(thm)],[48, 18])).
% 37.63/37.80 tff(50,plain,
% 37.63/37.80 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c7, sk_c4), sk_c7)),
% 37.63/37.80 inference(symmetry,[status(thm)],[49])).
% 37.63/37.80 tff(51,plain,
% 37.63/37.80 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8),
% 37.63/37.80 inference(transitivity,[status(thm)],[50, 47, 20, 11, 6])).
% 37.63/37.80 tff(52,plain,
% 37.63/37.80 (identity = multiply(sk_c7, sk_c5)),
% 37.63/37.80 inference(transitivity,[status(thm)],[37, 27])).
% 37.63/37.80 tff(53,plain,
% 37.63/37.81 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 37.63/37.81 inference(monotonicity,[status(thm)],[52])).
% 37.63/37.81 tff(54,plain,
% 37.63/37.81 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 37.63/37.81 inference(bind,[status(th)],[])).
% 37.63/37.81 tff(55,plain,
% 37.63/37.81 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 37.63/37.81 inference(quant_intro,[status(thm)],[54])).
% 37.63/37.81 tff(56,plain,
% 37.63/37.81 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 37.63/37.81 inference(rewrite,[status(thm)],[])).
% 37.63/37.81 tff(57,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 37.63/37.81 tff(58,plain,
% 37.63/37.81 (![X: $i] : (multiply(identity, X) = X)),
% 37.63/37.81 inference(modus_ponens,[status(thm)],[57, 56])).
% 37.63/37.81 tff(59,plain,(
% 37.63/37.81 ![X: $i] : (multiply(identity, X) = X)),
% 37.63/37.81 inference(skolemize,[status(sab)],[58])).
% 37.63/37.81 tff(60,plain,
% 37.63/37.81 (![X: $i] : (multiply(identity, X) = X)),
% 37.63/37.81 inference(modus_ponens,[status(thm)],[59, 55])).
% 37.63/37.81 tff(61,plain,
% 37.63/37.81 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 37.63/37.81 inference(quant_inst,[status(thm)],[])).
% 37.63/37.81 tff(62,plain,
% 37.63/37.81 (multiply(identity, sk_c7) = sk_c7),
% 37.63/37.81 inference(unit_resolution,[status(thm)],[61, 60])).
% 37.63/37.81 tff(63,plain,
% 37.63/37.81 (sk_c7 = multiply(identity, sk_c7)),
% 37.63/37.81 inference(symmetry,[status(thm)],[62])).
% 37.63/37.81 tff(64,plain,
% 37.63/37.81 (inverse(sk_c4) = sk_c8),
% 37.63/37.81 inference(transitivity,[status(thm)],[43, 63, 53, 20, 11, 6])).
% 37.63/37.81 tff(65,plain,
% 37.63/37.81 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(identity, sk_c7)),
% 37.63/37.81 inference(symmetry,[status(thm)],[53])).
% 37.63/37.81 tff(66,plain,
% 37.63/37.81 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 37.63/37.81 inference(symmetry,[status(thm)],[20])).
% 37.63/37.81 tff(67,plain,
% 37.63/37.81 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 37.63/37.81 inference(symmetry,[status(thm)],[11])).
% 37.63/37.81 tff(68,plain,
% 37.63/37.81 (sk_c8 = multiply(sk_c7, sk_c6)),
% 37.63/37.81 inference(symmetry,[status(thm)],[6])).
% 37.63/37.81 tff(69,plain,
% 37.63/37.81 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 37.63/37.81 inference(rewrite,[status(thm)],[])).
% 37.63/37.81 tff(70,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 37.63/37.81 tff(71,plain,
% 37.63/37.81 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 37.63/37.81 inference(modus_ponens,[status(thm)],[70, 69])).
% 37.63/37.81 tff(72,plain,
% 37.63/37.81 (multiply(sk_c4, sk_c7) = sk_c8),
% 37.63/37.81 inference(unit_resolution,[status(thm)],[71, 2])).
% 37.63/37.81 tff(73,plain,
% 37.63/37.81 (sk_c8 = sk_c7),
% 37.63/37.81 inference(transitivity,[status(thm)],[68, 67, 66, 65, 62])).
% 37.63/37.81 tff(74,plain,
% 37.63/37.81 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 37.63/37.81 inference(monotonicity,[status(thm)],[73])).
% 37.63/37.81 tff(75,plain,
% 37.63/37.81 (multiply(sk_c4, sk_c8) = sk_c7),
% 37.63/37.81 inference(transitivity,[status(thm)],[74, 72, 68, 67, 66, 65, 62])).
% 37.63/37.81 tff(76,plain,
% 37.63/37.81 (^[X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))) <=> ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))))),
% 37.63/37.81 inference(bind,[status(th)],[])).
% 37.63/37.81 tff(77,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.81 inference(quant_intro,[status(thm)],[76])).
% 37.63/37.81 tff(78,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.81 inference(rewrite,[status(thm)],[])).
% 37.63/37.81 tff(79,plain,
% 37.63/37.81 (^[X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : rewrite(((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))) <=> ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))))),
% 37.63/37.81 inference(bind,[status(th)],[])).
% 37.63/37.81 tff(80,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.81 inference(quant_intro,[status(thm)],[79])).
% 37.63/37.81 tff(81,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.81 inference(elim_unused_vars,[status(thm)],[])).
% 37.63/37.81 tff(82,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.81 inference(destructive_equality_resolution,[status(thm)],[])).
% 37.63/37.81 tff(83,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.81 inference(transitivity,[status(thm)],[82, 81])).
% 37.63/37.81 tff(84,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.81 inference(transitivity,[status(thm)],[83, 80])).
% 37.63/37.81 tff(85,plain,
% 37.63/37.81 (^[X6: $i, 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(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) <=> ((~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), ((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) <=> (((~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c7))))), rewrite((((~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), ((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), (((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) <=> (((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X4) = sk_c8))))), rewrite((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X4) = sk_c8))) <=> ((~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), (((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) <=> ((~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), ((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) <=> (((~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))))), rewrite((((~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) <=> ((~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), ((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) <=> ((~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), (((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) <=> (((~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))))), rewrite((((~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) <=> ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), (((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) <=> ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), ((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) <=> (((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X2, sk_c7) = sk_c8))))), rewrite((((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X2, sk_c7) = sk_c8))) <=> ((~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), ((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) <=> ((~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), (((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> (((~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X2) = sk_c7))))), rewrite((((~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> ((~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), (((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) <=> ((~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), ((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) <=> (((~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(sk_c7, X5) = sk_c8))))), rewrite((((~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(sk_c7, X5) = sk_c8))) <=> ((~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), ((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) <=> ((~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), (((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) <=> (((~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))))), rewrite((((~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) <=> ((~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), (((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) <=> ((~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))))), ((((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) | (~(inverse(X6) = sk_c7))) <=> (((~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X6) = sk_c7))))), rewrite((((~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8))) | (~(inverse(X6) = sk_c7))) <=> ((~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))), ((((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) | (~(inverse(X6) = sk_c7))) <=> ((~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))))),
% 37.63/37.81 inference(bind,[status(th)],[])).
% 37.63/37.81 tff(86,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) | (~(inverse(X6) = sk_c7))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = X5)) | (~(multiply(sk_c7, X5) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c8)))),
% 37.63/37.81 inference(quant_intro,[status(thm)],[85])).
% 37.63/37.81 tff(87,plain,
% 37.63/37.81 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) | (~(inverse(X6) = sk_c7))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.82 inference(transitivity,[status(thm)],[86, 84])).
% 37.63/37.82 tff(88,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X3) = sk_c9))) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X4) = sk_c8))) | (~(multiply(X1, sk_c9) = sk_c8))) | (~(inverse(X1) = sk_c9))) | (~(multiply(X2, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c7))) | (~(multiply(sk_c7, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = X5))) | (~(inverse(X6) = sk_c7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_29')).
% 37.63/37.82 tff(89,plain,
% 37.63/37.82 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[88, 87])).
% 37.63/37.82 tff(90,plain,
% 37.63/37.82 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[89, 78])).
% 37.63/37.82 tff(91,plain,(
% 37.63/37.82 ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.82 inference(skolemize,[status(sab)],[90])).
% 37.63/37.82 tff(92,plain,
% 37.63/37.82 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[91, 77])).
% 37.63/37.82 tff(93,plain,
% 37.63/37.82 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c3) = sk_c9)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c3) = sk_c9))),
% 37.63/37.82 inference(rewrite,[status(thm)],[])).
% 37.63/37.82 tff(94,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c3) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 37.63/37.82 tff(95,plain,
% 37.63/37.82 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c3) = sk_c9)),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[94, 93])).
% 37.63/37.82 tff(96,plain,
% 37.63/37.82 (inverse(sk_c3) = sk_c9),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[95, 2])).
% 37.63/37.82 tff(97,assumption,(~(multiply(sk_c3, sk_c9) = sk_c8)), introduced(assumption)).
% 37.63/37.82 tff(98,plain,
% 37.63/37.82 (((inverse(sk_c1) = sk_c9) | (multiply(sk_c3, sk_c9) = sk_c8)) <=> ((inverse(sk_c1) = sk_c9) | (multiply(sk_c3, sk_c9) = sk_c8))),
% 37.63/37.82 inference(rewrite,[status(thm)],[])).
% 37.63/37.82 tff(99,axiom,((inverse(sk_c1) = sk_c9) | (multiply(sk_c3, sk_c9) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 37.63/37.82 tff(100,plain,
% 37.63/37.82 ((inverse(sk_c1) = sk_c9) | (multiply(sk_c3, sk_c9) = sk_c8)),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[99, 98])).
% 37.63/37.82 tff(101,plain,
% 37.63/37.82 (inverse(sk_c1) = sk_c9),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[100, 97])).
% 37.63/37.82 tff(102,plain,
% 37.63/37.82 (((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8)) <=> ((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8))),
% 37.63/37.82 inference(rewrite,[status(thm)],[])).
% 37.63/37.82 tff(103,axiom,((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 37.63/37.82 tff(104,plain,
% 37.63/37.82 ((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8)),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[103, 102])).
% 37.63/37.82 tff(105,plain,
% 37.63/37.82 (multiply(sk_c1, sk_c9) = sk_c8),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[104, 97])).
% 37.63/37.82 tff(106,plain,
% 37.63/37.82 (((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c3, sk_c9) = sk_c8)) <=> ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c3, sk_c9) = sk_c8))),
% 37.63/37.82 inference(rewrite,[status(thm)],[])).
% 37.63/37.82 tff(107,axiom,((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c3, sk_c9) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 37.63/37.82 tff(108,plain,
% 37.63/37.82 ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c3, sk_c9) = sk_c8)),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[107, 106])).
% 37.63/37.82 tff(109,plain,
% 37.63/37.82 (multiply(sk_c2, sk_c8) = sk_c7),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[108, 97])).
% 37.63/37.82 tff(110,plain,
% 37.63/37.82 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8))),
% 37.63/37.82 inference(rewrite,[status(thm)],[])).
% 37.63/37.82 tff(111,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 37.63/37.82 tff(112,plain,
% 37.63/37.82 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c3, sk_c9) = sk_c8)),
% 37.63/37.82 inference(modus_ponens,[status(thm)],[111, 110])).
% 37.63/37.82 tff(113,plain,
% 37.63/37.82 (inverse(sk_c2) = sk_c8),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[112, 97])).
% 37.63/37.82 tff(114,assumption,(inverse(sk_c2) = sk_c8), introduced(assumption)).
% 37.63/37.82 tff(115,plain,
% 37.63/37.82 (sk_c8 = inverse(sk_c2)),
% 37.63/37.82 inference(symmetry,[status(thm)],[114])).
% 37.63/37.82 tff(116,assumption,(multiply(sk_c2, sk_c8) = sk_c7), introduced(assumption)).
% 37.63/37.82 tff(117,plain,
% 37.63/37.82 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(118,plain,
% 37.63/37.82 (multiply(identity, sk_c8) = sk_c8),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[117, 60])).
% 37.63/37.82 tff(119,plain,
% 37.63/37.82 (multiply(sk_c2, multiply(identity, sk_c8)) = multiply(sk_c2, sk_c8)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[118])).
% 37.63/37.82 tff(120,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, identity), sk_c8) = multiply(sk_c2, multiply(identity, sk_c8)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(121,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, identity), sk_c8) = multiply(sk_c2, multiply(identity, sk_c8))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[120, 18])).
% 37.63/37.82 tff(122,plain,
% 37.63/37.82 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(123,plain,
% 37.63/37.82 (multiply(inverse(sk_c2), sk_c2) = identity),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[122, 34])).
% 37.63/37.82 tff(124,assumption,(multiply(sk_c1, sk_c9) = sk_c8), introduced(assumption)).
% 37.63/37.82 tff(125,plain,
% 37.63/37.82 (multiply(sk_c1, sk_c9) = inverse(sk_c2)),
% 37.63/37.82 inference(transitivity,[status(thm)],[124, 115])).
% 37.63/37.82 tff(126,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[125])).
% 37.63/37.82 tff(127,plain,
% 37.63/37.82 (sk_c8 = multiply(sk_c1, sk_c9)),
% 37.63/37.82 inference(symmetry,[status(thm)],[124])).
% 37.63/37.82 tff(128,plain,
% 37.63/37.82 (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c1, sk_c9), sk_c2)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[127])).
% 37.63/37.82 tff(129,plain,
% 37.63/37.82 (multiply(sk_c8, sk_c2) = identity),
% 37.63/37.82 inference(transitivity,[status(thm)],[128, 126, 123])).
% 37.63/37.82 tff(130,plain,
% 37.63/37.82 (multiply(sk_c2, multiply(sk_c8, sk_c2)) = multiply(sk_c2, identity)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[129])).
% 37.63/37.82 tff(131,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), sk_c2) = multiply(sk_c2, multiply(sk_c8, sk_c2)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(132,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, sk_c8), sk_c2) = multiply(sk_c2, multiply(sk_c8, sk_c2))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[131, 18])).
% 37.63/37.82 tff(133,plain,
% 37.63/37.82 (sk_c7 = multiply(sk_c2, sk_c8)),
% 37.63/37.82 inference(symmetry,[status(thm)],[116])).
% 37.63/37.82 tff(134,plain,
% 37.63/37.82 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c2, sk_c8), sk_c2)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[133])).
% 37.63/37.82 tff(135,plain,
% 37.63/37.82 (multiply(sk_c7, sk_c2) = multiply(sk_c2, identity)),
% 37.63/37.82 inference(transitivity,[status(thm)],[134, 132, 130])).
% 37.63/37.82 tff(136,plain,
% 37.63/37.82 (multiply(multiply(sk_c7, sk_c2), sk_c8) = multiply(multiply(sk_c2, identity), sk_c8)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[135])).
% 37.63/37.82 tff(137,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), sk_c8) = multiply(sk_c7, multiply(sk_c2, sk_c8)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(138,plain,
% 37.63/37.82 (multiply(multiply(sk_c7, sk_c2), sk_c8) = multiply(sk_c7, multiply(sk_c2, sk_c8))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[137, 18])).
% 37.63/37.82 tff(139,plain,
% 37.63/37.82 (multiply(sk_c7, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c7, sk_c2), sk_c8)),
% 37.63/37.82 inference(symmetry,[status(thm)],[138])).
% 37.63/37.82 tff(140,plain,
% 37.63/37.82 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c8))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[133])).
% 37.63/37.82 tff(141,plain,
% 37.63/37.82 (multiply(multiply(sk_c8, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[129])).
% 37.63/37.82 tff(142,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c7) = multiply(sk_c8, multiply(sk_c2, sk_c7)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(143,plain,
% 37.63/37.82 (multiply(multiply(sk_c8, sk_c2), sk_c7) = multiply(sk_c8, multiply(sk_c2, sk_c7))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[142, 18])).
% 37.63/37.82 tff(144,plain,
% 37.63/37.82 (multiply(sk_c8, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c8, sk_c2), sk_c7)),
% 37.63/37.82 inference(symmetry,[status(thm)],[143])).
% 37.63/37.82 tff(145,plain,
% 37.63/37.82 (multiply(sk_c8, multiply(sk_c2, sk_c7)) = sk_c7),
% 37.63/37.82 inference(transitivity,[status(thm)],[144, 141, 62])).
% 37.63/37.82 tff(146,plain,
% 37.63/37.82 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, sk_c7))) = multiply(sk_c7, sk_c7)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[145])).
% 37.63/37.82 tff(147,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, sk_c7))))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(148,plain,
% 37.63/37.82 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, sk_c7)))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[147, 18])).
% 37.63/37.82 tff(149,plain,
% 37.63/37.82 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c9) = sk_c9)),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(150,plain,
% 37.63/37.82 (multiply(identity, sk_c9) = sk_c9),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[149, 60])).
% 37.63/37.82 tff(151,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(sk_c1, multiply(sk_c9, sk_c2)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(152,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[151, 18])).
% 37.63/37.82 tff(153,plain,
% 37.63/37.82 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c1, sk_c9), sk_c2)),
% 37.63/37.82 inference(symmetry,[status(thm)],[126])).
% 37.63/37.82 tff(154,plain,
% 37.63/37.82 (identity = multiply(inverse(sk_c2), sk_c2)),
% 37.63/37.82 inference(symmetry,[status(thm)],[123])).
% 37.63/37.82 tff(155,plain,
% 37.63/37.82 (identity = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.63/37.82 inference(transitivity,[status(thm)],[154, 153, 152])).
% 37.63/37.82 tff(156,plain,
% 37.63/37.82 (multiply(identity, sk_c9) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[155])).
% 37.63/37.82 tff(157,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9) = multiply(identity, sk_c9)),
% 37.63/37.82 inference(symmetry,[status(thm)],[156])).
% 37.63/37.82 tff(158,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9) = multiply(sk_c1, multiply(multiply(sk_c9, sk_c2), sk_c9)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(159,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9) = multiply(sk_c1, multiply(multiply(sk_c9, sk_c2), sk_c9))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[158, 18])).
% 37.63/37.82 tff(160,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(multiply(sk_c9, sk_c2), sk_c9)) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.63/37.82 inference(symmetry,[status(thm)],[159])).
% 37.63/37.82 tff(161,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(sk_c9, multiply(sk_c2, sk_c9)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(162,plain,
% 37.63/37.82 (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(sk_c9, multiply(sk_c2, sk_c9))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[161, 18])).
% 37.63/37.82 tff(163,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(multiply(sk_c9, sk_c2), sk_c9)) = multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[162])).
% 37.63/37.82 tff(164,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = multiply(sk_c1, multiply(multiply(sk_c9, sk_c2), sk_c9))),
% 37.63/37.82 inference(symmetry,[status(thm)],[163])).
% 37.63/37.82 tff(165,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = sk_c9),
% 37.63/37.82 inference(transitivity,[status(thm)],[164, 160, 157, 150])).
% 37.63/37.82 tff(166,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(multiply(sk_c2, sk_c1), sk_c9)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[165])).
% 37.63/37.82 tff(167,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, sk_c1), sk_c9) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.82 inference(symmetry,[status(thm)],[166])).
% 37.63/37.82 tff(168,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(169,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, sk_c1), sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[168, 18])).
% 37.63/37.82 tff(170,plain,
% 37.63/37.82 (multiply(sk_c2, multiply(sk_c1, sk_c9)) = multiply(multiply(sk_c2, sk_c1), sk_c9)),
% 37.63/37.82 inference(symmetry,[status(thm)],[169])).
% 37.63/37.82 tff(171,plain,
% 37.63/37.82 (multiply(sk_c2, multiply(sk_c1, sk_c9)) = multiply(sk_c2, sk_c8)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[124])).
% 37.63/37.82 tff(172,plain,
% 37.63/37.82 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c9))),
% 37.63/37.82 inference(symmetry,[status(thm)],[171])).
% 37.63/37.82 tff(173,plain,
% 37.63/37.82 (sk_c7 = multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.82 inference(transitivity,[status(thm)],[133, 172, 170, 167])).
% 37.63/37.82 tff(174,plain,
% 37.63/37.82 (multiply(sk_c7, sk_c8) = multiply(multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[173])).
% 37.63/37.82 tff(175,plain,
% 37.63/37.82 (multiply(multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c7, sk_c8)),
% 37.63/37.82 inference(symmetry,[status(thm)],[174])).
% 37.63/37.82 tff(176,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(multiply(sk_c2, sk_c1), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(177,plain,
% 37.63/37.82 (multiply(multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(multiply(sk_c2, sk_c1), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[176, 18])).
% 37.63/37.82 tff(178,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, sk_c1), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)) = multiply(multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.82 inference(symmetry,[status(thm)],[177])).
% 37.63/37.82 tff(179,plain,
% 37.63/37.82 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(180,plain,
% 37.63/37.82 (multiply(inverse(sk_c1), sk_c1) = identity),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[179, 34])).
% 37.63/37.82 tff(181,assumption,(inverse(sk_c1) = sk_c9), introduced(assumption)).
% 37.63/37.82 tff(182,plain,
% 37.63/37.82 (sk_c9 = inverse(sk_c1)),
% 37.63/37.82 inference(symmetry,[status(thm)],[181])).
% 37.63/37.82 tff(183,plain,
% 37.63/37.82 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[182])).
% 37.63/37.82 tff(184,plain,
% 37.63/37.82 (multiply(sk_c9, sk_c1) = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.63/37.82 inference(transitivity,[status(thm)],[183, 180, 154, 153, 152])).
% 37.63/37.82 tff(185,plain,
% 37.63/37.82 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[184])).
% 37.63/37.82 tff(186,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(sk_c9, multiply(sk_c1, sk_c9)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(187,plain,
% 37.63/37.82 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[186, 18])).
% 37.63/37.82 tff(188,plain,
% 37.63/37.82 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = multiply(multiply(sk_c9, sk_c1), sk_c9)),
% 37.63/37.82 inference(symmetry,[status(thm)],[187])).
% 37.63/37.82 tff(189,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[165, 127])).
% 37.63/37.82 tff(190,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8) = sk_c9),
% 37.63/37.82 inference(transitivity,[status(thm)],[189, 188, 185, 157, 150])).
% 37.63/37.82 tff(191,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, sk_c1), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)) = multiply(multiply(sk_c2, sk_c1), sk_c9)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[190])).
% 37.63/37.82 tff(192,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, sk_c1), sk_c9) = multiply(multiply(sk_c2, sk_c1), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8))),
% 37.63/37.82 inference(symmetry,[status(thm)],[191])).
% 37.63/37.82 tff(193,plain,
% 37.63/37.82 (sk_c7 = multiply(sk_c7, sk_c8)),
% 37.63/37.82 inference(transitivity,[status(thm)],[133, 172, 170, 192, 178, 175])).
% 37.63/37.82 tff(194,plain,
% 37.63/37.82 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, sk_c7))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[193])).
% 37.63/37.82 tff(195,plain,
% 37.63/37.82 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c7),
% 37.63/37.82 inference(transitivity,[status(thm)],[194, 148, 146, 140, 139, 136, 121, 119, 116])).
% 37.63/37.82 tff(196,plain,
% 37.63/37.82 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8) <=> (sk_c7 = inverse(sk_c2))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[195, 115])).
% 37.63/37.82 tff(197,plain,
% 37.63/37.82 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 37.63/37.82 inference(transitivity,[status(thm)],[196, 1])).
% 37.63/37.82 tff(198,plain,
% 37.63/37.82 ((inverse(sk_c2) = sk_c7) <=> (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)),
% 37.63/37.82 inference(symmetry,[status(thm)],[197])).
% 37.63/37.82 tff(199,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8) = inverse(sk_c1)),
% 37.63/37.82 inference(transitivity,[status(thm)],[189, 188, 185, 157, 150, 182])).
% 37.63/37.82 tff(200,plain,
% 37.63/37.82 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[199])).
% 37.63/37.82 tff(201,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c1)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(202,plain,
% 37.63/37.82 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c1))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[201, 18])).
% 37.63/37.82 tff(203,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c1)),
% 37.63/37.82 inference(symmetry,[status(thm)],[202])).
% 37.63/37.82 tff(204,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c1)) = identity),
% 37.63/37.82 inference(transitivity,[status(thm)],[203, 200, 180])).
% 37.63/37.82 tff(205,plain,
% 37.63/37.82 (multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c1))) = multiply(sk_c2, identity)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[204])).
% 37.63/37.82 tff(206,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c8, sk_c1)) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c1))))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(207,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c8, sk_c1)) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c1)))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[206, 18])).
% 37.63/37.82 tff(208,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(sk_c1, sk_c9)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[165])).
% 37.63/37.82 tff(209,plain,
% 37.63/37.82 (multiply(sk_c1, sk_c9) = multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.82 inference(symmetry,[status(thm)],[208])).
% 37.63/37.82 tff(210,plain,
% 37.63/37.82 (sk_c8 = multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.82 inference(transitivity,[status(thm)],[127, 209])).
% 37.63/37.82 tff(211,plain,
% 37.63/37.82 (multiply(sk_c8, sk_c1) = multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[210])).
% 37.63/37.82 tff(212,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1) = multiply(sk_c8, sk_c1)),
% 37.63/37.82 inference(symmetry,[status(thm)],[211])).
% 37.63/37.82 tff(213,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(214,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[213, 18])).
% 37.63/37.82 tff(215,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1)),
% 37.63/37.82 inference(symmetry,[status(thm)],[214])).
% 37.63/37.82 tff(216,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = inverse(sk_c1)),
% 37.63/37.82 inference(transitivity,[status(thm)],[164, 160, 157, 150, 182])).
% 37.63/37.82 tff(217,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[216])).
% 37.63/37.82 tff(218,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1) = identity),
% 37.63/37.82 inference(transitivity,[status(thm)],[217, 180])).
% 37.63/37.82 tff(219,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)) = multiply(sk_c1, identity)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[218])).
% 37.63/37.82 tff(220,plain,
% 37.63/37.82 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1))),
% 37.63/37.82 inference(symmetry,[status(thm)],[219])).
% 37.63/37.82 tff(221,plain,
% 37.63/37.82 (multiply(sk_c1, identity) = multiply(sk_c8, sk_c1)),
% 37.63/37.82 inference(transitivity,[status(thm)],[220, 215, 212])).
% 37.63/37.82 tff(222,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, identity)) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c8, sk_c1))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[221])).
% 37.63/37.82 tff(223,plain,
% 37.63/37.82 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)),
% 37.63/37.82 inference(symmetry,[status(thm)],[217])).
% 37.63/37.82 tff(224,plain,
% 37.63/37.82 (identity = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.82 inference(symmetry,[status(thm)],[180])).
% 37.63/37.82 tff(225,plain,
% 37.63/37.82 (identity = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)),
% 37.63/37.82 inference(transitivity,[status(thm)],[224, 223])).
% 37.63/37.82 tff(226,plain,
% 37.63/37.82 (multiply(identity, identity) = multiply(identity, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[225])).
% 37.63/37.82 tff(227,plain,
% 37.63/37.82 (multiply(identity, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)) = multiply(identity, identity)),
% 37.63/37.82 inference(symmetry,[status(thm)],[226])).
% 37.63/37.82 tff(228,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1) = multiply(identity, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(229,plain,
% 37.63/37.82 (multiply(multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1) = multiply(identity, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[228, 18])).
% 37.63/37.82 tff(230,plain,
% 37.63/37.82 (multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[155, 165])).
% 37.63/37.82 tff(231,plain,
% 37.63/37.82 (multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = inverse(sk_c1)),
% 37.63/37.82 inference(transitivity,[status(thm)],[230, 157, 150, 182])).
% 37.63/37.82 tff(232,plain,
% 37.63/37.82 (multiply(multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[231])).
% 37.63/37.82 tff(233,plain,
% 37.63/37.82 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1)),
% 37.63/37.82 inference(symmetry,[status(thm)],[232])).
% 37.63/37.82 tff(234,plain,
% 37.63/37.82 (identity = multiply(identity, identity)),
% 37.63/37.82 inference(transitivity,[status(thm)],[224, 233, 229, 227])).
% 37.63/37.82 tff(235,plain,
% 37.63/37.82 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(identity, identity))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[234])).
% 37.63/37.82 tff(236,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(identity, identity)) = multiply(sk_c1, identity)),
% 37.63/37.82 inference(symmetry,[status(thm)],[235])).
% 37.63/37.82 tff(237,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, identity))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[236])).
% 37.63/37.82 tff(238,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity))) = multiply(sk_c2, identity)),
% 37.63/37.82 inference(transitivity,[status(thm)],[237, 222, 207, 205])).
% 37.63/37.82 tff(239,plain,
% 37.63/37.82 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity))), sk_c8) = multiply(multiply(sk_c2, identity), sk_c8)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[238])).
% 37.63/37.82 tff(240,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity))), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(241,plain,
% 37.63/37.82 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity))), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[240, 18])).
% 37.63/37.82 tff(242,plain,
% 37.63/37.82 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8)) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity))), sk_c8)),
% 37.63/37.82 inference(symmetry,[status(thm)],[241])).
% 37.63/37.82 tff(243,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8) = multiply(multiply(sk_c1, identity), sk_c8)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[236])).
% 37.63/37.82 tff(244,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, identity), sk_c8) = multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8)),
% 37.63/37.82 inference(symmetry,[status(thm)],[243])).
% 37.63/37.82 tff(245,plain,
% 37.63/37.82 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(246,plain,
% 37.63/37.82 (multiply(identity, sk_c1) = sk_c1),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[245, 60])).
% 37.63/37.82 tff(247,plain,
% 37.63/37.82 (sk_c9 = multiply(identity, sk_c9)),
% 37.63/37.82 inference(symmetry,[status(thm)],[150])).
% 37.63/37.82 tff(248,plain,
% 37.63/37.82 (sk_c9 = multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))),
% 37.63/37.82 inference(transitivity,[status(thm)],[247, 156, 159, 163])).
% 37.63/37.82 tff(249,plain,
% 37.63/37.82 (multiply(sk_c9, sk_c2) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[248])).
% 37.63/37.82 tff(250,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2) = multiply(sk_c9, sk_c2)),
% 37.63/37.82 inference(symmetry,[status(thm)],[249])).
% 37.63/37.82 tff(251,plain,
% 37.63/37.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2) = multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.63/37.82 inference(quant_inst,[status(thm)],[])).
% 37.63/37.82 tff(252,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2) = multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))),
% 37.63/37.82 inference(unit_resolution,[status(thm)],[251, 18])).
% 37.63/37.82 tff(253,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)),
% 37.63/37.82 inference(symmetry,[status(thm)],[252])).
% 37.63/37.82 tff(254,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)) = multiply(sk_c9, sk_c2)),
% 37.63/37.82 inference(transitivity,[status(thm)],[253, 250])).
% 37.63/37.82 tff(255,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))) = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.63/37.82 inference(monotonicity,[status(thm)],[254])).
% 37.63/37.82 tff(256,plain,
% 37.63/37.82 (multiply(sk_c1, multiply(sk_c9, sk_c2)) = multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.63/37.82 inference(symmetry,[status(thm)],[255])).
% 37.63/37.82 tff(257,plain,
% 37.63/37.82 (identity = multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.63/37.82 inference(transitivity,[status(thm)],[154, 153, 152, 256])).
% 37.63/37.82 tff(258,plain,
% 37.63/37.82 (multiply(identity, sk_c1) = multiply(multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))), sk_c1)),
% 37.63/37.82 inference(monotonicity,[status(thm)],[257])).
% 37.63/37.82 tff(259,plain,
% 37.63/37.82 (multiply(multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))), sk_c1) = multiply(identity, sk_c1)),
% 37.63/37.83 inference(symmetry,[status(thm)],[258])).
% 37.63/37.83 tff(260,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))), sk_c1) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)), sk_c1)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(261,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))), sk_c1) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)), sk_c1))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[260, 18])).
% 37.63/37.83 tff(262,plain,
% 37.63/37.83 (multiply(sk_c1, multiply(multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)), sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))), sk_c1)),
% 37.63/37.83 inference(symmetry,[status(thm)],[261])).
% 37.63/37.83 tff(263,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(identity, sk_c1)) = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[216, 246])).
% 37.63/37.83 tff(264,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), identity), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(identity, sk_c1)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(265,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), identity), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(identity, sk_c1))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[264, 18])).
% 37.63/37.83 tff(266,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(sk_c8, sk_c2)),
% 37.63/37.83 inference(symmetry,[status(thm)],[128])).
% 37.63/37.83 tff(267,plain,
% 37.63/37.83 (identity = multiply(sk_c8, sk_c2)),
% 37.63/37.83 inference(transitivity,[status(thm)],[154, 153, 266])).
% 37.63/37.83 tff(268,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), identity) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c2))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[267])).
% 37.63/37.83 tff(269,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), identity)),
% 37.63/37.83 inference(symmetry,[status(thm)],[268])).
% 37.63/37.83 tff(270,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c2)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(271,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c8, sk_c2))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[270, 18])).
% 37.63/37.83 tff(272,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c2) = multiply(sk_c9, sk_c2)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[190])).
% 37.63/37.83 tff(273,plain,
% 37.63/37.83 (multiply(sk_c9, sk_c2) = multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8), sk_c2)),
% 37.63/37.83 inference(symmetry,[status(thm)],[272])).
% 37.63/37.83 tff(274,plain,
% 37.63/37.83 (multiply(sk_c9, sk_c2) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), identity)),
% 37.63/37.83 inference(transitivity,[status(thm)],[273, 271, 269])).
% 37.63/37.83 tff(275,plain,
% 37.63/37.83 (multiply(multiply(sk_c9, sk_c2), sk_c1) = multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), identity), sk_c1)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[274])).
% 37.63/37.83 tff(276,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)), sk_c1) = multiply(multiply(sk_c9, sk_c2), sk_c1)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[254])).
% 37.63/37.83 tff(277,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)), sk_c1) = identity),
% 37.63/37.83 inference(transitivity,[status(thm)],[276, 275, 265, 263, 180])).
% 37.63/37.83 tff(278,plain,
% 37.63/37.83 (multiply(sk_c1, multiply(multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)), sk_c1)) = multiply(sk_c1, identity)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[277])).
% 37.63/37.83 tff(279,plain,
% 37.63/37.83 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)), sk_c1))),
% 37.63/37.83 inference(symmetry,[status(thm)],[278])).
% 37.63/37.83 tff(280,plain,
% 37.63/37.83 (multiply(sk_c1, identity) = sk_c1),
% 37.63/37.83 inference(transitivity,[status(thm)],[279, 262, 259, 246])).
% 37.63/37.83 tff(281,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, identity), sk_c8) = multiply(sk_c1, sk_c8)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[280])).
% 37.63/37.83 tff(282,plain,
% 37.63/37.83 (multiply(sk_c1, sk_c8) = multiply(multiply(sk_c1, identity), sk_c8)),
% 37.63/37.83 inference(symmetry,[status(thm)],[281])).
% 37.63/37.83 tff(283,plain,
% 37.63/37.83 (multiply(sk_c1, sk_c8) = multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8)),
% 37.63/37.83 inference(transitivity,[status(thm)],[282, 244])).
% 37.63/37.83 tff(284,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[283])).
% 37.63/37.83 tff(285,plain,
% 37.63/37.83 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[210])).
% 37.63/37.83 tff(286,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c8, sk_c8)),
% 37.63/37.83 inference(symmetry,[status(thm)],[285])).
% 37.63/37.83 tff(287,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(288,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[287, 18])).
% 37.63/37.83 tff(289,plain,
% 37.63/37.83 (multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)) = multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.83 inference(symmetry,[status(thm)],[288])).
% 37.63/37.83 tff(290,plain,
% 37.63/37.83 (multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)) = multiply(sk_c1, sk_c9)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[190])).
% 37.63/37.83 tff(291,plain,
% 37.63/37.83 (multiply(sk_c1, sk_c9) = multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8))),
% 37.63/37.83 inference(symmetry,[status(thm)],[290])).
% 37.63/37.83 tff(292,plain,
% 37.63/37.83 (sk_c8 = multiply(sk_c8, sk_c8)),
% 37.63/37.83 inference(transitivity,[status(thm)],[127, 291, 289, 286])).
% 37.63/37.83 tff(293,plain,
% 37.63/37.83 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[292])).
% 37.63/37.83 tff(294,plain,
% 37.63/37.83 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(sk_c1, sk_c8)),
% 37.63/37.83 inference(symmetry,[status(thm)],[293])).
% 37.63/37.83 tff(295,plain,
% 37.63/37.83 (multiply(sk_c2, sk_c9) = multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[248])).
% 37.63/37.83 tff(296,plain,
% 37.63/37.83 (multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)) = multiply(sk_c2, sk_c9)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[190])).
% 37.63/37.83 tff(297,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(298,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[297, 18])).
% 37.63/37.83 tff(299,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(identity, sk_c8)) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[118])).
% 37.63/37.83 tff(300,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), identity), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(identity, sk_c8)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(301,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), identity), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(identity, sk_c8))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[300, 18])).
% 37.63/37.83 tff(302,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), identity) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c8, sk_c2))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[267])).
% 37.63/37.83 tff(303,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), identity)),
% 37.63/37.83 inference(symmetry,[status(thm)],[302])).
% 37.63/37.83 tff(304,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c8, sk_c2)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(305,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c8, sk_c2))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[304, 18])).
% 37.63/37.83 tff(306,plain,
% 37.63/37.83 (multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.83 inference(symmetry,[status(thm)],[298])).
% 37.63/37.83 tff(307,plain,
% 37.63/37.83 (multiply(sk_c2, sk_c9) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8))),
% 37.63/37.83 inference(symmetry,[status(thm)],[296])).
% 37.63/37.83 tff(308,plain,
% 37.63/37.83 (multiply(sk_c2, sk_c9) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.83 inference(transitivity,[status(thm)],[307, 306])).
% 37.63/37.83 tff(309,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, sk_c9), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8), sk_c2)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[308])).
% 37.63/37.83 tff(310,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, sk_c9), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), identity)),
% 37.63/37.83 inference(transitivity,[status(thm)],[309, 305, 303])).
% 37.63/37.83 tff(311,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), sk_c8) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), identity), sk_c8)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[310])).
% 37.63/37.83 tff(312,plain,
% 37.63/37.83 (multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(sk_c2, sk_c9)),
% 37.63/37.83 inference(symmetry,[status(thm)],[295])).
% 37.63/37.83 tff(313,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2) = multiply(multiply(sk_c2, sk_c9), sk_c2)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[312])).
% 37.63/37.83 tff(314,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(315,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[314, 18])).
% 37.63/37.83 tff(316,plain,
% 37.63/37.83 (multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2)),
% 37.63/37.83 inference(symmetry,[status(thm)],[315])).
% 37.63/37.83 tff(317,plain,
% 37.63/37.83 (multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)) = multiply(multiply(sk_c2, sk_c9), sk_c2)),
% 37.63/37.83 inference(transitivity,[status(thm)],[316, 313])).
% 37.63/37.83 tff(318,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), multiply(identity, sk_c8)) = multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), sk_c8)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[317, 118])).
% 37.63/37.83 tff(319,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), identity), sk_c8) = multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), multiply(identity, sk_c8)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(320,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), identity), sk_c8) = multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), multiply(identity, sk_c8))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[319, 18])).
% 37.63/37.83 tff(321,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), identity) = multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[317])).
% 37.63/37.83 tff(322,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity) = multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), identity)),
% 37.63/37.83 inference(symmetry,[status(thm)],[321])).
% 37.63/37.83 tff(323,plain,
% 37.63/37.83 (multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), sk_c8) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)), identity), sk_c8)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[322])).
% 37.63/37.83 tff(324,plain,
% 37.63/37.83 (multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), sk_c8) = multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.83 inference(transitivity,[status(thm)],[323, 320, 318, 311, 301, 299, 298, 296, 295])).
% 37.63/37.83 tff(325,plain,
% 37.63/37.83 (multiply(multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), sk_c8), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, sk_c8))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[324, 294])).
% 37.63/37.83 tff(326,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), sk_c8), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(327,plain,
% 37.63/37.83 (multiply(multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), sk_c8), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[326, 18])).
% 37.63/37.83 tff(328,plain,
% 37.63/37.83 (multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), sk_c8), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(symmetry,[status(thm)],[327])).
% 37.63/37.83 tff(329,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[294])).
% 37.63/37.83 tff(330,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(symmetry,[status(thm)],[329])).
% 37.63/37.83 tff(331,plain,
% 37.63/37.83 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(332,plain,
% 37.63/37.83 (multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[331, 60])).
% 37.63/37.83 tff(333,plain,
% 37.63/37.83 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(symmetry,[status(thm)],[332])).
% 37.63/37.83 tff(334,plain,
% 37.63/37.83 (multiply(sk_c1, sk_c8) = multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(transitivity,[status(thm)],[293, 333])).
% 37.63/37.83 tff(335,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[334])).
% 37.63/37.83 tff(336,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 37.63/37.83 inference(symmetry,[status(thm)],[335])).
% 37.63/37.83 tff(337,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, identity), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(338,plain,
% 37.63/37.83 (multiply(multiply(sk_c8, identity), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[337, 18])).
% 37.63/37.83 tff(339,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c9), multiply(sk_c2, sk_c9)) = multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(340,plain,
% 37.63/37.83 (multiply(multiply(sk_c1, sk_c9), multiply(sk_c2, sk_c9)) = multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[339, 18])).
% 37.63/37.83 tff(341,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(sk_c2, sk_c9)) = multiply(multiply(sk_c1, sk_c9), multiply(sk_c2, sk_c9))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[127])).
% 37.63/37.83 tff(342,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(sk_c2, sk_c9)) = inverse(sk_c1)),
% 37.63/37.83 inference(transitivity,[status(thm)],[341, 340, 164, 160, 157, 150, 182])).
% 37.63/37.83 tff(343,plain,
% 37.63/37.83 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c9)), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[342])).
% 37.63/37.83 tff(344,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, sk_c9)), sk_c1) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(345,plain,
% 37.63/37.83 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c9)), sk_c1) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[344, 18])).
% 37.63/37.83 tff(346,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c9)), sk_c1)),
% 37.63/37.83 inference(symmetry,[status(thm)],[345])).
% 37.63/37.83 tff(347,plain,
% 37.63/37.83 (multiply(sk_c8, sk_c8) = sk_c8),
% 37.63/37.83 inference(transitivity,[status(thm)],[285, 288, 290, 124])).
% 37.63/37.83 tff(348,plain,
% 37.63/37.83 (multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c2, sk_c9), sk_c1)) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[347])).
% 37.63/37.83 tff(349,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c2, sk_c9), sk_c1)) = multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1))))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(350,plain,
% 37.63/37.83 (multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c2, sk_c9), sk_c1)) = multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1)))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[349, 18])).
% 37.63/37.83 tff(351,plain,
% 37.63/37.83 (multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1))) = multiply(multiply(sk_c8, sk_c8), multiply(multiply(sk_c2, sk_c9), sk_c1))),
% 37.63/37.83 inference(symmetry,[status(thm)],[350])).
% 37.63/37.83 tff(352,plain,
% 37.63/37.83 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c9)), sk_c1)),
% 37.63/37.83 inference(symmetry,[status(thm)],[343])).
% 37.63/37.83 tff(353,plain,
% 37.63/37.83 (identity = multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1))),
% 37.63/37.83 inference(transitivity,[status(thm)],[224, 352, 345])).
% 37.63/37.83 tff(354,plain,
% 37.63/37.83 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c8, multiply(multiply(sk_c2, sk_c9), sk_c1)))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[353])).
% 37.63/37.83 tff(355,plain,
% 37.63/37.83 (multiply(sk_c8, identity) = identity),
% 37.63/37.83 inference(transitivity,[status(thm)],[354, 351, 348, 346, 343, 180])).
% 37.63/37.83 tff(356,plain,
% 37.63/37.83 (multiply(multiply(sk_c8, identity), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(identity, multiply(sk_c1, sk_c8))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[355, 294])).
% 37.63/37.83 tff(357,plain,
% 37.63/37.83 (multiply(identity, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c8, identity), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(symmetry,[status(thm)],[356])).
% 37.63/37.83 tff(358,plain,
% 37.63/37.83 (multiply(identity, multiply(sk_c1, sk_c8)) = multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[293])).
% 37.63/37.83 tff(359,plain,
% 37.63/37.83 (multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(identity, multiply(sk_c1, sk_c8))),
% 37.63/37.83 inference(symmetry,[status(thm)],[358])).
% 37.63/37.83 tff(360,plain,
% 37.63/37.83 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.83 inference(transitivity,[status(thm)],[333, 359, 357, 338, 336, 330])).
% 37.63/37.83 tff(361,plain,
% 37.63/37.83 (multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.83 inference(monotonicity,[status(thm)],[360])).
% 37.63/37.83 tff(362,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2), identity) = multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity)),
% 37.63/37.83 inference(monotonicity,[status(thm)],[313])).
% 37.63/37.83 tff(363,plain,
% 37.63/37.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2), identity) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, identity)))),
% 37.63/37.83 inference(quant_inst,[status(thm)],[])).
% 37.63/37.83 tff(364,plain,
% 37.63/37.83 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2), identity) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, identity))),
% 37.63/37.83 inference(unit_resolution,[status(thm)],[363, 18])).
% 37.63/37.83 tff(365,plain,
% 37.63/37.83 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, identity)) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2), identity)),
% 37.63/37.84 inference(symmetry,[status(thm)],[364])).
% 37.63/37.84 tff(366,plain,
% 37.63/37.84 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity)))) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, identity))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[238])).
% 37.63/37.84 tff(367,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity)))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(368,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c1, multiply(identity, identity))))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[367, 18])).
% 37.63/37.84 tff(369,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity)),
% 37.63/37.84 inference(transitivity,[status(thm)],[368, 366, 365, 362])).
% 37.63/37.84 tff(370,plain,
% 37.63/37.84 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, sk_c9), sk_c2), identity), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[369])).
% 37.63/37.84 tff(371,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(372,plain,
% 37.63/37.84 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[371, 18])).
% 37.63/37.84 tff(373,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(symmetry,[status(thm)],[372])).
% 37.63/37.84 tff(374,plain,
% 37.63/37.84 (multiply(sk_c1, multiply(identity, identity)) = sk_c1),
% 37.63/37.84 inference(transitivity,[status(thm)],[236, 279, 262, 259, 246])).
% 37.63/37.84 tff(375,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c1, multiply(sk_c1, sk_c8))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[374, 294])).
% 37.63/37.84 tff(376,plain,
% 37.63/37.84 (multiply(sk_c1, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(symmetry,[status(thm)],[375])).
% 37.63/37.84 tff(377,plain,
% 37.63/37.84 (sk_c1 = multiply(identity, sk_c1)),
% 37.63/37.84 inference(symmetry,[status(thm)],[246])).
% 37.63/37.84 tff(378,plain,
% 37.63/37.84 (sk_c1 = multiply(sk_c1, multiply(identity, identity))),
% 37.63/37.84 inference(transitivity,[status(thm)],[377, 258, 261, 278, 235])).
% 37.63/37.84 tff(379,plain,
% 37.63/37.84 (multiply(sk_c1, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[378, 283])).
% 37.63/37.84 tff(380,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8)) = multiply(sk_c1, multiply(sk_c1, sk_c8))),
% 37.63/37.84 inference(symmetry,[status(thm)],[379])).
% 37.63/37.84 tff(381,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), sk_c8) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8)))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(382,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), sk_c8) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[381, 18])).
% 37.63/37.84 tff(383,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))) = multiply(sk_c1, sk_c1)),
% 37.63/37.84 inference(monotonicity,[status(thm)],[374, 374])).
% 37.63/37.84 tff(384,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), sk_c8) = multiply(multiply(sk_c1, sk_c1), sk_c8)),
% 37.63/37.84 inference(monotonicity,[status(thm)],[383])).
% 37.63/37.84 tff(385,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, sk_c1), sk_c8) = multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), sk_c8)),
% 37.63/37.84 inference(symmetry,[status(thm)],[384])).
% 37.63/37.84 tff(386,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, sk_c1), sk_c8) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(transitivity,[status(thm)],[385, 382, 380, 376])).
% 37.63/37.84 tff(387,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, sk_c1), sk_c8)) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[386])).
% 37.63/37.84 tff(388,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), sk_c8)) = multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), sk_c8)),
% 37.63/37.84 inference(symmetry,[status(thm)],[382])).
% 37.63/37.84 tff(389,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1), sk_c1) = multiply(identity, sk_c1)),
% 37.63/37.84 inference(monotonicity,[status(thm)],[218])).
% 37.63/37.84 tff(390,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1)))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(391,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1), sk_c1) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[390, 18])).
% 37.63/37.84 tff(392,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1), sk_c1)),
% 37.63/37.84 inference(symmetry,[status(thm)],[391])).
% 37.63/37.84 tff(393,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1)) = sk_c1),
% 37.63/37.84 inference(transitivity,[status(thm)],[392, 389, 246])).
% 37.63/37.84 tff(394,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c1, multiply(sk_c1, sk_c8))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[393, 294])).
% 37.63/37.84 tff(395,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(396,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[395, 18])).
% 37.63/37.84 tff(397,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(sk_c1, sk_c1)), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(symmetry,[status(thm)],[396])).
% 37.63/37.84 tff(398,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c1, sk_c1), sk_c8)),
% 37.63/37.84 inference(transitivity,[status(thm)],[397, 394, 379, 388, 384])).
% 37.63/37.84 tff(399,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, sk_c1), sk_c8))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[398])).
% 37.63/37.84 tff(400,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8))))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(401,plain,
% 37.63/37.84 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[400, 18])).
% 37.63/37.84 tff(402,plain,
% 37.63/37.84 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(sk_c1, sk_c9), multiply(sk_c2, sk_c9))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[127, 312])).
% 37.63/37.84 tff(403,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, sk_c9), multiply(sk_c2, sk_c9)) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(symmetry,[status(thm)],[402])).
% 37.63/37.84 tff(404,plain,
% 37.63/37.84 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = multiply(multiply(sk_c1, sk_c9), multiply(sk_c2, sk_c9))),
% 37.63/37.84 inference(symmetry,[status(thm)],[340])).
% 37.63/37.84 tff(405,plain,
% 37.63/37.84 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(transitivity,[status(thm)],[404, 403])).
% 37.63/37.84 tff(406,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[405])).
% 37.63/37.84 tff(407,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.84 inference(symmetry,[status(thm)],[406])).
% 37.63/37.84 tff(408,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(409,plain,
% 37.63/37.84 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[408, 18])).
% 37.63/37.84 tff(410,plain,
% 37.63/37.84 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c2, sk_c9)),
% 37.63/37.84 inference(transitivity,[status(thm)],[298, 296])).
% 37.63/37.84 tff(411,plain,
% 37.63/37.84 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)) = multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[312, 410])).
% 37.63/37.84 tff(412,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(413,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[412, 18])).
% 37.63/37.84 tff(414,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9))),
% 37.63/37.84 inference(transitivity,[status(thm)],[413, 411])).
% 37.63/37.84 tff(415,plain,
% 37.63/37.84 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[414])).
% 37.63/37.84 tff(416,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(symmetry,[status(thm)],[415])).
% 37.63/37.84 tff(417,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(418,plain,
% 37.63/37.84 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[417, 18])).
% 37.63/37.84 tff(419,plain,
% 37.63/37.84 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(symmetry,[status(thm)],[418])).
% 37.63/37.84 tff(420,plain,
% 37.63/37.84 (multiply(sk_c8, multiply(sk_c2, sk_c9)) = sk_c9),
% 37.63/37.84 inference(transitivity,[status(thm)],[341, 340, 164, 160, 157, 150])).
% 37.63/37.84 tff(421,plain,
% 37.63/37.84 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c9))) = multiply(sk_c2, sk_c9)),
% 37.63/37.84 inference(monotonicity,[status(thm)],[420])).
% 37.63/37.84 tff(422,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c9)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c9))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(423,plain,
% 37.63/37.84 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c9)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c9)))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[422, 18])).
% 37.63/37.84 tff(424,plain,
% 37.63/37.84 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c9))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[133, 312])).
% 37.63/37.84 tff(425,plain,
% 37.63/37.84 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(sk_c2, sk_c9)),
% 37.63/37.84 inference(transitivity,[status(thm)],[424, 423, 421])).
% 37.63/37.84 tff(426,plain,
% 37.63/37.84 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c9))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[133, 425])).
% 37.63/37.84 tff(427,plain,
% 37.63/37.84 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c9)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.84 inference(symmetry,[status(thm)],[426])).
% 37.63/37.84 tff(428,plain,
% 37.63/37.84 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c9))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c9))),
% 37.63/37.84 inference(symmetry,[status(thm)],[423])).
% 37.63/37.84 tff(429,plain,
% 37.63/37.84 (multiply(sk_c2, sk_c9) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c9)))),
% 37.63/37.84 inference(symmetry,[status(thm)],[421])).
% 37.63/37.84 tff(430,plain,
% 37.63/37.84 (multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(transitivity,[status(thm)],[312, 429, 428, 427, 419])).
% 37.63/37.84 tff(431,plain,
% 37.63/37.84 (multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)) = multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[295, 295])).
% 37.63/37.84 tff(432,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[431, 430])).
% 37.63/37.84 tff(433,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.84 inference(symmetry,[status(thm)],[432])).
% 37.63/37.84 tff(434,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.84 inference(transitivity,[status(thm)],[433, 416, 409, 407])).
% 37.63/37.84 tff(435,plain,
% 37.63/37.84 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[434])).
% 37.63/37.84 tff(436,plain,
% 37.63/37.84 (multiply(sk_c1, sk_c1) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity)))),
% 37.63/37.84 inference(symmetry,[status(thm)],[383])).
% 37.63/37.84 tff(437,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[436])).
% 37.63/37.84 tff(438,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(symmetry,[status(thm)],[437])).
% 37.63/37.84 tff(439,plain,
% 37.63/37.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 37.63/37.84 inference(quant_inst,[status(thm)],[])).
% 37.63/37.84 tff(440,plain,
% 37.63/37.84 (multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.84 inference(unit_resolution,[status(thm)],[439, 18])).
% 37.63/37.84 tff(441,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(symmetry,[status(thm)],[440])).
% 37.63/37.84 tff(442,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c1, sk_c1), sk_c8)),
% 37.63/37.84 inference(transitivity,[status(thm)],[375, 379, 388, 384])).
% 37.63/37.84 tff(443,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))),
% 37.63/37.84 inference(monotonicity,[status(thm)],[442])).
% 37.63/37.84 tff(444,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.84 inference(symmetry,[status(thm)],[443])).
% 37.63/37.84 tff(445,plain,
% 37.63/37.84 (multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)) = multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 37.63/37.84 inference(transitivity,[status(thm)],[444, 441, 438])).
% 37.63/37.84 tff(446,plain,
% 37.63/37.84 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c1, sk_c1), multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[445])).
% 37.63/37.85 tff(447,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(448,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[447, 18])).
% 37.63/37.85 tff(449,plain,
% 37.63/37.85 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.85 inference(symmetry,[status(thm)],[448])).
% 37.63/37.85 tff(450,plain,
% 37.63/37.85 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c9))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[425])).
% 37.63/37.85 tff(451,plain,
% 37.63/37.85 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c9)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c7, multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.85 inference(symmetry,[status(thm)],[450])).
% 37.63/37.85 tff(452,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c9)) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c9))))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(453,plain,
% 37.63/37.85 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c9)) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c9)))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[452, 18])).
% 37.63/37.85 tff(454,plain,
% 37.63/37.85 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c9))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c9))),
% 37.63/37.85 inference(symmetry,[status(thm)],[453])).
% 37.63/37.85 tff(455,plain,
% 37.63/37.85 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c9))) = multiply(sk_c1, sk_c9)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[420])).
% 37.63/37.85 tff(456,plain,
% 37.63/37.85 (multiply(sk_c1, sk_c9) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c9)))),
% 37.63/37.85 inference(symmetry,[status(thm)],[455])).
% 37.63/37.85 tff(457,plain,
% 37.63/37.85 (sk_c8 = multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.85 inference(transitivity,[status(thm)],[127, 456, 454, 451, 449])).
% 37.63/37.85 tff(458,plain,
% 37.63/37.85 (multiply(multiply(sk_c1, sk_c1), sk_c8) = multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[457])).
% 37.63/37.85 tff(459,plain,
% 37.63/37.85 (multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(sk_c1, sk_c1), sk_c8)),
% 37.63/37.85 inference(symmetry,[status(thm)],[458])).
% 37.63/37.85 tff(460,plain,
% 37.63/37.85 (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(identity, sk_c1)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[129])).
% 37.63/37.85 tff(461,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(sk_c8, multiply(sk_c2, sk_c1)))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(462,plain,
% 37.63/37.85 (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(sk_c8, multiply(sk_c2, sk_c1))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[461, 18])).
% 37.63/37.85 tff(463,plain,
% 37.63/37.85 (multiply(sk_c8, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c8, sk_c2), sk_c1)),
% 37.63/37.85 inference(symmetry,[status(thm)],[462])).
% 37.63/37.85 tff(464,plain,
% 37.63/37.85 (sk_c1 = multiply(sk_c1, identity)),
% 37.63/37.85 inference(transitivity,[status(thm)],[377, 258, 261, 278])).
% 37.63/37.85 tff(465,plain,
% 37.63/37.85 (multiply(sk_c2, sk_c1) = multiply(sk_c2, multiply(sk_c1, identity))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[464])).
% 37.63/37.85 tff(466,plain,
% 37.63/37.85 (multiply(sk_c2, multiply(sk_c1, identity)) = multiply(sk_c2, sk_c1)),
% 37.63/37.85 inference(symmetry,[status(thm)],[465])).
% 37.63/37.85 tff(467,plain,
% 37.63/37.85 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, identity))) = multiply(sk_c8, multiply(sk_c2, sk_c1))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[466])).
% 37.63/37.85 tff(468,plain,
% 37.63/37.85 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, identity))) = multiply(sk_c1, multiply(identity, identity))),
% 37.63/37.85 inference(transitivity,[status(thm)],[467, 463, 460, 258, 261, 278, 235])).
% 37.63/37.85 tff(469,plain,
% 37.63/37.85 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, identity))), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[468, 459])).
% 37.63/37.85 tff(470,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, identity))), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))))))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(471,plain,
% 37.63/37.85 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, identity))), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[470, 18])).
% 37.63/37.85 tff(472,plain,
% 37.63/37.85 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))))) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c1, identity))), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))))),
% 37.63/37.85 inference(symmetry,[status(thm)],[471])).
% 37.63/37.85 tff(473,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[459])).
% 37.63/37.85 tff(474,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))))),
% 37.63/37.85 inference(symmetry,[status(thm)],[473])).
% 37.63/37.85 tff(475,plain,
% 37.63/37.85 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), multiply(multiply(multiply(sk_c1, sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[474])).
% 37.63/37.85 tff(476,plain,
% 37.63/37.85 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))) = multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))),
% 37.63/37.85 inference(transitivity,[status(thm)],[475, 472, 469])).
% 37.63/37.85 tff(477,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[476])).
% 37.63/37.85 tff(478,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), sk_c8), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(479,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), sk_c8), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[478, 18])).
% 37.63/37.85 tff(480,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1)), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(481,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1)), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[480, 18])).
% 37.63/37.85 tff(482,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, sk_c1))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[466])).
% 37.63/37.85 tff(483,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1))),
% 37.63/37.85 inference(symmetry,[status(thm)],[482])).
% 37.63/37.85 tff(484,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[465, 436])).
% 37.63/37.85 tff(485,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity)))) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, sk_c1))),
% 37.63/37.85 inference(symmetry,[status(thm)],[484])).
% 37.63/37.85 tff(486,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity)))))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(487,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, multiply(identity, identity)), multiply(sk_c1, multiply(identity, identity))))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[486, 18])).
% 37.63/37.85 tff(488,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, identity)) = multiply(multiply(sk_c2, sk_c1), sk_c1)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[280])).
% 37.63/37.85 tff(489,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), identity) = multiply(sk_c2, multiply(sk_c1, identity)))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(490,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, sk_c1), identity) = multiply(sk_c2, multiply(sk_c1, identity))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[489, 18])).
% 37.63/37.85 tff(491,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, sk_c1), identity) = multiply(sk_c2, sk_c1)),
% 37.63/37.85 inference(transitivity,[status(thm)],[490, 466])).
% 37.63/37.85 tff(492,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, sk_c1), identity), sk_c1) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, identity))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[491, 464])).
% 37.63/37.85 tff(493,plain,
% 37.63/37.85 (multiply(sk_c2, multiply(sk_c1, identity)) = multiply(multiply(sk_c2, sk_c1), identity)),
% 37.63/37.85 inference(symmetry,[status(thm)],[490])).
% 37.63/37.85 tff(494,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(multiply(sk_c2, sk_c1), identity), sk_c1)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[493, 374])).
% 37.63/37.85 tff(495,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(sk_c2, sk_c1), sk_c1)),
% 37.63/37.85 inference(transitivity,[status(thm)],[494, 492, 488])).
% 37.63/37.85 tff(496,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(identity, identity))) = multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[495, 374])).
% 37.63/37.85 tff(497,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, multiply(identity, identity))), multiply(sk_c1, multiply(identity, identity)))),
% 37.63/37.85 inference(symmetry,[status(thm)],[496])).
% 37.63/37.85 tff(498,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1))),
% 37.63/37.85 inference(transitivity,[status(thm)],[497, 487, 485, 483])).
% 37.63/37.85 tff(499,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1), sk_c8) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1)), sk_c8)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[498])).
% 37.63/37.85 tff(500,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))),
% 37.63/37.85 inference(transitivity,[status(thm)],[499, 481])).
% 37.63/37.85 tff(501,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), sk_c8) = multiply(multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[433])).
% 37.63/37.85 tff(502,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), sk_c8)),
% 37.63/37.85 inference(symmetry,[status(thm)],[501])).
% 37.63/37.85 tff(503,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9))),
% 37.63/37.85 inference(symmetry,[status(thm)],[431])).
% 37.63/37.85 tff(504,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[503])).
% 37.63/37.85 tff(505,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.85 inference(symmetry,[status(thm)],[504])).
% 37.63/37.85 tff(506,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8)),
% 37.63/37.85 inference(monotonicity,[status(thm)],[505])).
% 37.63/37.85 tff(507,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8)),
% 37.63/37.85 inference(symmetry,[status(thm)],[506])).
% 37.63/37.85 tff(508,plain,
% 37.63/37.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)))),
% 37.63/37.85 inference(quant_inst,[status(thm)],[])).
% 37.63/37.85 tff(509,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8))),
% 37.63/37.85 inference(unit_resolution,[status(thm)],[508, 18])).
% 37.63/37.85 tff(510,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), sk_c8)),
% 37.63/37.85 inference(symmetry,[status(thm)],[509])).
% 37.63/37.85 tff(511,plain,
% 37.63/37.85 (multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.85 inference(transitivity,[status(thm)],[298, 296, 295])).
% 37.63/37.85 tff(512,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)) = multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[503, 511])).
% 37.63/37.85 tff(513,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, sk_c9), multiply(sk_c2, sk_c9)), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8))),
% 37.63/37.85 inference(symmetry,[status(thm)],[512])).
% 37.63/37.85 tff(514,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), sk_c8)),
% 37.63/37.85 inference(transitivity,[status(thm)],[433, 513, 510, 507, 502])).
% 37.63/37.85 tff(515,plain,
% 37.63/37.85 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1), sk_c8)) = multiply(multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), sk_c8), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))),
% 37.63/37.85 inference(monotonicity,[status(thm)],[514, 500])).
% 37.63/37.85 tff(516,plain,
% 37.63/37.85 (multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1)), sk_c8) = multiply(multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1), sk_c8)),
% 37.63/37.86 inference(symmetry,[status(thm)],[499])).
% 37.63/37.86 tff(517,plain,
% 37.63/37.86 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)) = multiply(multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(sk_c1, sk_c1)), sk_c8)),
% 37.63/37.86 inference(symmetry,[status(thm)],[481])).
% 37.63/37.86 tff(518,plain,
% 37.63/37.86 (multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)) = multiply(multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1), sk_c8)),
% 37.63/37.86 inference(transitivity,[status(thm)],[517, 516])).
% 37.63/37.86 tff(519,plain,
% 37.63/37.86 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(multiply(multiply(sk_c2, sk_c1), sk_c1), sk_c1), sk_c8))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[518])).
% 37.63/37.86 tff(520,plain,
% 37.63/37.86 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))) = sk_c7),
% 37.63/37.86 inference(transitivity,[status(thm)],[519, 515, 479, 477, 446, 435, 401, 399, 387, 373, 370, 361, 328, 325, 284, 242, 239, 121, 119, 116])).
% 37.63/37.86 tff(521,plain,
% 37.63/37.86 (multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))) = multiply(sk_c2, sk_c7)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[520])).
% 37.63/37.86 tff(522,plain,
% 37.63/37.86 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))))) = multiply(sk_c8, multiply(sk_c2, sk_c7))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[347, 521])).
% 37.63/37.86 tff(523,plain,
% 37.63/37.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))))))),
% 37.63/37.86 inference(quant_inst,[status(thm)],[])).
% 37.63/37.86 tff(524,plain,
% 37.63/37.86 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))))))),
% 37.63/37.86 inference(unit_resolution,[status(thm)],[523, 18])).
% 37.63/37.86 tff(525,plain,
% 37.63/37.86 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))))),
% 37.63/37.86 inference(symmetry,[status(thm)],[524])).
% 37.63/37.86 tff(526,plain,
% 37.63/37.86 (multiply(sk_c8, multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))))) = multiply(sk_c8, multiply(sk_c2, sk_c7))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[521])).
% 37.63/37.86 tff(527,plain,
% 37.63/37.86 (multiply(sk_c8, multiply(sk_c2, sk_c7)) = multiply(sk_c8, multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8)))))),
% 37.63/37.86 inference(symmetry,[status(thm)],[526])).
% 37.63/37.86 tff(528,plain,
% 37.63/37.86 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, sk_c7))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))), multiply(multiply(sk_c2, multiply(sk_c1, identity)), multiply(multiply(sk_c1, sk_c1), sk_c8))))))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[527])).
% 37.63/37.86 tff(529,plain,
% 37.63/37.86 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c2), sk_c7)),
% 37.63/37.86 inference(symmetry,[status(thm)],[141])).
% 37.63/37.86 tff(530,plain,
% 37.63/37.86 (multiply(sk_c2, sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c7))),
% 37.63/37.86 inference(transitivity,[status(thm)],[116, 63, 529, 143])).
% 37.63/37.86 tff(531,plain,
% 37.63/37.86 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, sk_c7)))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[530])).
% 37.63/37.86 tff(532,plain,
% 37.63/37.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 37.63/37.86 inference(quant_inst,[status(thm)],[])).
% 37.63/37.86 tff(533,plain,
% 37.63/37.86 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 37.63/37.86 inference(unit_resolution,[status(thm)],[532, 18])).
% 37.63/37.86 tff(534,plain,
% 37.63/37.86 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[267])).
% 37.63/37.86 tff(535,plain,
% 37.63/37.86 (sk_c8 = multiply(identity, sk_c8)),
% 37.63/37.86 inference(symmetry,[status(thm)],[118])).
% 37.63/37.86 tff(536,plain,
% 37.63/37.86 (inverse(sk_c2) = sk_c7),
% 37.63/37.86 inference(transitivity,[status(thm)],[114, 535, 534, 533, 531, 528, 525, 522, 144, 141, 62])).
% 37.63/37.86 tff(537,plain,
% 37.63/37.86 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8),
% 37.63/37.86 inference(modus_ponens,[status(thm)],[536, 198])).
% 37.63/37.86 tff(538,assumption,(~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)), introduced(assumption)).
% 37.63/37.86 tff(539,plain,
% 37.63/37.86 ($false),
% 37.63/37.86 inference(unit_resolution,[status(thm)],[538, 537])).
% 37.63/37.86 tff(540,plain,((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c1) = sk_c9))), inference(lemma,lemma(discharge,[]))).
% 37.63/37.86 tff(541,plain,
% 37.63/37.86 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8),
% 37.63/37.86 inference(unit_resolution,[status(thm)],[540, 113, 109, 105, 101])).
% 37.63/37.86 tff(542,plain,
% 37.63/37.86 (multiply(sk_c2, multiply(sk_c1, sk_c9)) = multiply(sk_c2, sk_c8)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[105])).
% 37.63/37.86 tff(543,plain,
% 37.63/37.86 (sk_c8 = inverse(sk_c2)),
% 37.63/37.86 inference(symmetry,[status(thm)],[113])).
% 37.63/37.86 tff(544,plain,
% 37.63/37.86 (multiply(sk_c1, sk_c9) = inverse(sk_c2)),
% 37.63/37.86 inference(transitivity,[status(thm)],[105, 543])).
% 37.63/37.86 tff(545,plain,
% 37.63/37.86 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[544])).
% 37.63/37.86 tff(546,plain,
% 37.63/37.86 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c1, sk_c9), sk_c2)),
% 37.63/37.86 inference(symmetry,[status(thm)],[545])).
% 37.63/37.86 tff(547,plain,
% 37.63/37.86 (identity = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.63/37.86 inference(transitivity,[status(thm)],[154, 546, 152])).
% 37.63/37.86 tff(548,plain,
% 37.63/37.86 (multiply(identity, sk_c9) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[547])).
% 37.63/37.86 tff(549,plain,
% 37.63/37.86 (multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9) = multiply(identity, sk_c9)),
% 37.63/37.86 inference(symmetry,[status(thm)],[548])).
% 37.63/37.86 tff(550,plain,
% 37.63/37.86 (sk_c9 = inverse(sk_c1)),
% 37.63/37.86 inference(symmetry,[status(thm)],[101])).
% 37.63/37.86 tff(551,plain,
% 37.63/37.86 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[550])).
% 37.63/37.86 tff(552,plain,
% 37.63/37.86 (multiply(sk_c9, sk_c1) = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.63/37.86 inference(transitivity,[status(thm)],[551, 180, 154, 546, 152])).
% 37.63/37.86 tff(553,plain,
% 37.63/37.86 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[552])).
% 37.63/37.86 tff(554,plain,
% 37.63/37.86 (sk_c8 = multiply(sk_c1, sk_c9)),
% 37.63/37.86 inference(symmetry,[status(thm)],[105])).
% 37.63/37.86 tff(555,plain,
% 37.63/37.86 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = sk_c9),
% 37.63/37.86 inference(transitivity,[status(thm)],[164, 160, 549, 150])).
% 37.63/37.86 tff(556,plain,
% 37.63/37.86 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[555, 554])).
% 37.63/37.86 tff(557,plain,
% 37.63/37.86 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8) = sk_c9),
% 37.63/37.86 inference(transitivity,[status(thm)],[556, 188, 553, 549, 150])).
% 37.63/37.86 tff(558,plain,
% 37.63/37.86 (multiply(multiply(sk_c2, sk_c1), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8)) = multiply(multiply(sk_c2, sk_c1), sk_c9)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[557])).
% 37.63/37.86 tff(559,plain,
% 37.63/37.86 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(multiply(sk_c2, sk_c1), sk_c9)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[555])).
% 37.63/37.86 tff(560,plain,
% 37.63/37.86 (multiply(multiply(sk_c2, sk_c1), sk_c9) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.86 inference(symmetry,[status(thm)],[559])).
% 37.63/37.86 tff(561,plain,
% 37.63/37.86 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c9))),
% 37.63/37.86 inference(symmetry,[status(thm)],[542])).
% 37.63/37.86 tff(562,plain,
% 37.63/37.86 (sk_c7 = multiply(sk_c2, sk_c8)),
% 37.63/37.86 inference(symmetry,[status(thm)],[109])).
% 37.63/37.86 tff(563,plain,
% 37.63/37.86 (sk_c7 = multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.63/37.86 inference(transitivity,[status(thm)],[562, 561, 170, 560])).
% 37.63/37.86 tff(564,plain,
% 37.63/37.86 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[563, 541])).
% 37.63/37.86 tff(565,plain,
% 37.63/37.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7))))),
% 37.63/37.86 inference(quant_inst,[status(thm)],[])).
% 37.63/37.86 tff(566,plain,
% 37.63/37.86 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 37.63/37.86 inference(unit_resolution,[status(thm)],[565, 18])).
% 37.63/37.86 tff(567,plain,
% 37.63/37.86 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c8))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[562])).
% 37.63/37.86 tff(568,plain,
% 37.63/37.86 (multiply(sk_c7, multiply(sk_c2, sk_c8)) = multiply(sk_c7, sk_c7)),
% 37.63/37.86 inference(symmetry,[status(thm)],[567])).
% 37.63/37.86 tff(569,plain,
% 37.63/37.86 (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c1, sk_c9), sk_c2)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[554])).
% 37.63/37.86 tff(570,plain,
% 37.63/37.86 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(sk_c8, sk_c2)),
% 37.63/37.86 inference(symmetry,[status(thm)],[569])).
% 37.63/37.86 tff(571,plain,
% 37.63/37.86 (identity = multiply(sk_c8, sk_c2)),
% 37.63/37.86 inference(transitivity,[status(thm)],[154, 546, 570])).
% 37.63/37.86 tff(572,plain,
% 37.63/37.86 (multiply(sk_c2, identity) = multiply(sk_c2, multiply(sk_c8, sk_c2))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[571])).
% 37.63/37.86 tff(573,plain,
% 37.63/37.86 (multiply(sk_c2, multiply(sk_c8, sk_c2)) = multiply(sk_c2, identity)),
% 37.63/37.86 inference(symmetry,[status(thm)],[572])).
% 37.63/37.86 tff(574,plain,
% 37.63/37.86 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c2, sk_c8), sk_c2)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[562])).
% 37.63/37.86 tff(575,plain,
% 37.63/37.86 (multiply(sk_c7, sk_c2) = multiply(sk_c2, identity)),
% 37.63/37.86 inference(transitivity,[status(thm)],[574, 132, 573])).
% 37.63/37.86 tff(576,plain,
% 37.63/37.86 (multiply(multiply(sk_c7, sk_c2), sk_c8) = multiply(multiply(sk_c2, identity), sk_c8)),
% 37.63/37.86 inference(monotonicity,[status(thm)],[575])).
% 37.63/37.86 tff(577,plain,
% 37.63/37.86 (multiply(multiply(sk_c2, identity), sk_c8) = multiply(multiply(sk_c7, sk_c2), sk_c8)),
% 37.63/37.86 inference(symmetry,[status(thm)],[576])).
% 37.63/37.86 tff(578,plain,
% 37.63/37.86 (multiply(sk_c2, multiply(identity, sk_c8)) = multiply(multiply(sk_c2, identity), sk_c8)),
% 37.63/37.86 inference(symmetry,[status(thm)],[121])).
% 37.63/37.86 tff(579,plain,
% 37.63/37.86 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(identity, sk_c8))),
% 37.63/37.86 inference(symmetry,[status(thm)],[119])).
% 37.63/37.86 tff(580,plain,
% 37.63/37.86 (sk_c7 = multiply(sk_c7, sk_c7)),
% 37.63/37.86 inference(transitivity,[status(thm)],[562, 579, 578, 577, 138, 568])).
% 37.63/37.86 tff(581,plain,
% 37.63/37.86 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7))),
% 37.63/37.86 inference(monotonicity,[status(thm)],[580])).
% 37.63/37.86 tff(582,plain,
% 37.63/37.86 (sk_c8 = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 37.63/37.86 inference(symmetry,[status(thm)],[541])).
% 37.63/37.86 tff(583,plain,
% 37.63/37.86 (inverse(sk_c2) = sk_c7),
% 37.63/37.86 inference(transitivity,[status(thm)],[113, 582, 581, 566, 564, 177, 558, 169, 542, 109])).
% 37.63/37.86 tff(584,plain,
% 37.63/37.86 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 37.63/37.86 inference(symmetry,[status(thm)],[581])).
% 37.63/37.86 tff(585,plain,
% 37.63/37.86 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7))),
% 37.63/37.86 inference(symmetry,[status(thm)],[566])).
% 37.63/37.86 tff(586,plain,
% 37.63/37.86 (multiply(multiply(multiply(sk_c2, sk_c1), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c8) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 37.72/37.86 inference(symmetry,[status(thm)],[564])).
% 37.72/37.86 tff(587,plain,
% 37.72/37.86 (multiply(multiply(sk_c2, sk_c1), sk_c9) = multiply(multiply(sk_c2, sk_c1), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c8))),
% 37.72/37.86 inference(symmetry,[status(thm)],[558])).
% 37.72/37.86 tff(588,plain,
% 37.72/37.86 (sk_c7 = sk_c8),
% 37.72/37.86 inference(transitivity,[status(thm)],[562, 561, 170, 587, 178, 586, 585, 584, 541])).
% 37.72/37.86 tff(589,plain,
% 37.72/37.86 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c8)),
% 37.72/37.86 inference(monotonicity,[status(thm)],[588])).
% 37.72/37.86 tff(590,plain,
% 37.72/37.86 (multiply(sk_c2, sk_c7) = sk_c8),
% 37.72/37.86 inference(transitivity,[status(thm)],[589, 561, 170, 587, 178, 586, 585, 584, 541])).
% 37.72/37.86 tff(591,plain,
% 37.72/37.86 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)))),
% 37.72/37.86 inference(rewrite,[status(thm)],[])).
% 37.72/37.86 tff(592,plain,
% 37.72/37.86 (((~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9))) <=> ((~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)))),
% 37.72/37.86 inference(rewrite,[status(thm)],[])).
% 37.72/37.86 tff(593,plain,
% 37.72/37.86 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8))))),
% 37.72/37.86 inference(monotonicity,[status(thm)],[592])).
% 37.72/37.86 tff(594,plain,
% 37.72/37.86 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)))),
% 37.72/37.86 inference(transitivity,[status(thm)],[593, 591])).
% 37.72/37.86 tff(595,plain,
% 37.72/37.86 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)))),
% 37.72/37.86 inference(quant_inst,[status(thm)],[])).
% 37.72/37.86 tff(596,plain,
% 37.72/37.86 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8))),
% 37.72/37.86 inference(modus_ponens,[status(thm)],[595, 594])).
% 37.72/37.86 tff(597,plain,
% 37.72/37.86 ((~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8))),
% 37.72/37.86 inference(unit_resolution,[status(thm)],[596, 105, 101, 109, 113, 92])).
% 37.72/37.86 tff(598,plain,
% 37.72/37.86 ($false),
% 37.72/37.86 inference(unit_resolution,[status(thm)],[597, 590, 583, 541])).
% 37.72/37.86 tff(599,plain,(multiply(sk_c3, sk_c9) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 37.72/37.86 tff(600,plain,
% 37.72/37.86 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(601,plain,
% 37.72/37.87 (((~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9))) <=> ((~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(602,plain,
% 37.72/37.87 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8))))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[601])).
% 37.72/37.87 tff(603,plain,
% 37.72/37.87 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)))),
% 37.72/37.87 inference(transitivity,[status(thm)],[602, 600])).
% 37.72/37.87 tff(604,plain,
% 37.72/37.87 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)))),
% 37.72/37.87 inference(quant_inst,[status(thm)],[])).
% 37.72/37.87 tff(605,plain,
% 37.72/37.87 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(multiply(sk_c3, sk_c9) = sk_c8))),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[604, 603])).
% 37.72/37.87 tff(606,plain,
% 37.72/37.87 ((~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8))),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[605, 599, 96, 72, 43, 92])).
% 37.72/37.87 tff(607,plain,
% 37.72/37.87 ($false),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[606, 75, 64, 51])).
% 37.72/37.87 tff(608,plain,(inverse(sk_c2) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 37.72/37.87 tff(609,plain,
% 37.72/37.87 (sk_c8 = inverse(sk_c2)),
% 37.72/37.87 inference(symmetry,[status(thm)],[608])).
% 37.72/37.87 tff(610,assumption,(~(multiply(sk_c2, sk_c8) = sk_c7)), introduced(assumption)).
% 37.72/37.87 tff(611,plain,
% 37.72/37.87 (((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(612,plain,
% 37.72/37.87 (((multiply(sk_c2, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(613,axiom,((multiply(sk_c2, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 37.72/37.87 tff(614,plain,
% 37.72/37.87 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[613, 612])).
% 37.72/37.87 tff(615,plain,
% 37.72/37.87 ((inverse(sk_c4) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[614, 611])).
% 37.72/37.87 tff(616,plain,
% 37.72/37.87 (inverse(sk_c4) = sk_c7),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[615, 610])).
% 37.72/37.87 tff(617,plain,
% 37.72/37.87 ((inverse(sk_c4) = sk_c8) <=> (sk_c7 = inverse(sk_c2))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[616, 609])).
% 37.72/37.87 tff(618,plain,
% 37.72/37.87 ((inverse(sk_c4) = sk_c8) <=> (inverse(sk_c2) = sk_c7)),
% 37.72/37.87 inference(transitivity,[status(thm)],[617, 1])).
% 37.72/37.87 tff(619,plain,
% 37.72/37.87 ((~(inverse(sk_c4) = sk_c8)) <=> (~(inverse(sk_c2) = sk_c7))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[618])).
% 37.72/37.87 tff(620,plain,
% 37.72/37.87 (((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(621,axiom,((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 37.72/37.87 tff(622,plain,
% 37.72/37.87 ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[621, 620])).
% 37.72/37.87 tff(623,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c6) = sk_c8),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[622, 610])).
% 37.72/37.87 tff(624,plain,
% 37.72/37.87 (((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c7) = sk_c6)) <=> ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c7) = sk_c6))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(625,axiom,((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 37.72/37.87 tff(626,plain,
% 37.72/37.87 ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c7) = sk_c6)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[625, 624])).
% 37.72/37.87 tff(627,plain,
% 37.72/37.87 (multiply(sk_c5, sk_c7) = sk_c6),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[626, 610])).
% 37.72/37.87 tff(628,plain,
% 37.72/37.87 (multiply(sk_c7, multiply(sk_c5, sk_c7)) = multiply(sk_c7, sk_c6)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[627])).
% 37.72/37.87 tff(629,plain,
% 37.72/37.87 (((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(630,plain,
% 37.72/37.87 (((multiply(sk_c2, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c7)) <=> ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(631,axiom,((multiply(sk_c2, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 37.72/37.87 tff(632,plain,
% 37.72/37.87 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[631, 630])).
% 37.72/37.87 tff(633,plain,
% 37.72/37.87 ((inverse(sk_c5) = sk_c7) | (multiply(sk_c2, sk_c8) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[632, 629])).
% 37.72/37.87 tff(634,plain,
% 37.72/37.87 (inverse(sk_c5) = sk_c7),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[633, 610])).
% 37.72/37.87 tff(635,plain,
% 37.72/37.87 (sk_c7 = inverse(sk_c5)),
% 37.72/37.87 inference(symmetry,[status(thm)],[634])).
% 37.72/37.87 tff(636,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[635])).
% 37.72/37.87 tff(637,plain,
% 37.72/37.87 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c7, sk_c5)),
% 37.72/37.87 inference(symmetry,[status(thm)],[636])).
% 37.72/37.87 tff(638,plain,
% 37.72/37.87 (sk_c7 = inverse(sk_c4)),
% 37.72/37.87 inference(symmetry,[status(thm)],[616])).
% 37.72/37.87 tff(639,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[638])).
% 37.72/37.87 tff(640,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c4) = multiply(sk_c7, sk_c5)),
% 37.72/37.87 inference(transitivity,[status(thm)],[639, 39, 37, 637])).
% 37.72/37.87 tff(641,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, sk_c4), sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[640])).
% 37.72/37.87 tff(642,plain,
% 37.72/37.87 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8),
% 37.72/37.87 inference(transitivity,[status(thm)],[50, 641, 20, 628, 623])).
% 37.72/37.87 tff(643,plain,
% 37.72/37.87 (identity = multiply(sk_c7, sk_c5)),
% 37.72/37.87 inference(transitivity,[status(thm)],[37, 637])).
% 37.72/37.87 tff(644,plain,
% 37.72/37.87 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[643])).
% 37.72/37.87 tff(645,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(identity, sk_c7)),
% 37.72/37.87 inference(symmetry,[status(thm)],[644])).
% 37.72/37.87 tff(646,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c5, sk_c7))),
% 37.72/37.87 inference(symmetry,[status(thm)],[628])).
% 37.72/37.87 tff(647,plain,
% 37.72/37.87 (sk_c8 = multiply(sk_c7, sk_c6)),
% 37.72/37.87 inference(symmetry,[status(thm)],[623])).
% 37.72/37.87 tff(648,plain,
% 37.72/37.87 (((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(649,axiom,((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 37.72/37.87 tff(650,plain,
% 37.72/37.87 ((multiply(sk_c2, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[649, 648])).
% 37.72/37.87 tff(651,plain,
% 37.72/37.87 (multiply(sk_c4, sk_c7) = sk_c8),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[650, 610])).
% 37.72/37.87 tff(652,plain,
% 37.72/37.87 (sk_c8 = sk_c7),
% 37.72/37.87 inference(transitivity,[status(thm)],[647, 646, 66, 645, 62])).
% 37.72/37.87 tff(653,plain,
% 37.72/37.87 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[652])).
% 37.72/37.87 tff(654,plain,
% 37.72/37.87 (multiply(sk_c4, sk_c8) = sk_c7),
% 37.72/37.87 inference(transitivity,[status(thm)],[653, 651, 647, 646, 66, 645, 62])).
% 37.72/37.87 tff(655,plain,
% 37.72/37.87 (((inverse(sk_c3) = sk_c9) | (multiply(sk_c2, sk_c8) = sk_c7)) <=> ((inverse(sk_c3) = sk_c9) | (multiply(sk_c2, sk_c8) = sk_c7))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(656,plain,
% 37.72/37.87 (((multiply(sk_c2, sk_c8) = sk_c7) | (inverse(sk_c3) = sk_c9)) <=> ((inverse(sk_c3) = sk_c9) | (multiply(sk_c2, sk_c8) = sk_c7))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(657,axiom,((multiply(sk_c2, sk_c8) = sk_c7) | (inverse(sk_c3) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 37.72/37.87 tff(658,plain,
% 37.72/37.87 ((inverse(sk_c3) = sk_c9) | (multiply(sk_c2, sk_c8) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[657, 656])).
% 37.72/37.87 tff(659,plain,
% 37.72/37.87 ((inverse(sk_c3) = sk_c9) | (multiply(sk_c2, sk_c8) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[658, 655])).
% 37.72/37.87 tff(660,plain,
% 37.72/37.87 (inverse(sk_c3) = sk_c9),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[659, 610])).
% 37.72/37.87 tff(661,plain,
% 37.72/37.87 ((~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8))),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[605, 599, 660, 651, 616, 92])).
% 37.72/37.87 tff(662,plain,
% 37.72/37.87 (~(inverse(sk_c4) = sk_c8)),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[661, 654, 642])).
% 37.72/37.87 tff(663,plain,
% 37.72/37.87 (~(inverse(sk_c2) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[662, 619])).
% 37.72/37.87 tff(664,plain,
% 37.72/37.87 (inverse(sk_c2) = sk_c7),
% 37.72/37.87 inference(transitivity,[status(thm)],[608, 647, 646, 66, 645, 62])).
% 37.72/37.87 tff(665,plain,
% 37.72/37.87 ($false),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[664, 663])).
% 37.72/37.87 tff(666,plain,(multiply(sk_c2, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 37.72/37.87 tff(667,plain,
% 37.72/37.87 (sk_c7 = multiply(sk_c2, sk_c8)),
% 37.72/37.87 inference(symmetry,[status(thm)],[666])).
% 37.72/37.87 tff(668,plain,
% 37.72/37.87 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c7))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[667])).
% 37.72/37.87 tff(669,plain,
% 37.72/37.87 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 37.72/37.87 inference(symmetry,[status(thm)],[668])).
% 37.72/37.87 tff(670,plain,
% 37.72/37.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c7))))),
% 37.72/37.87 inference(quant_inst,[status(thm)],[])).
% 37.72/37.87 tff(671,plain,
% 37.72/37.87 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c7)))),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[670, 18])).
% 37.72/37.87 tff(672,plain,
% 37.72/37.87 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c7))),
% 37.72/37.87 inference(symmetry,[status(thm)],[671])).
% 37.72/37.87 tff(673,plain,
% 37.72/37.87 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[609])).
% 37.72/37.87 tff(674,plain,
% 37.72/37.87 (multiply(sk_c8, sk_c2) = identity),
% 37.72/37.87 inference(transitivity,[status(thm)],[673, 123])).
% 37.72/37.87 tff(675,plain,
% 37.72/37.87 (multiply(multiply(sk_c8, sk_c2), sk_c7) = multiply(identity, sk_c7)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[674])).
% 37.72/37.87 tff(676,plain,
% 37.72/37.87 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, sk_c2), sk_c7)),
% 37.72/37.87 inference(symmetry,[status(thm)],[675])).
% 37.72/37.87 tff(677,assumption,(~(multiply(identity, sk_c7) = sk_c7)), introduced(assumption)).
% 37.72/37.87 tff(678,plain,
% 37.72/37.87 ($false),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[61, 60, 677])).
% 37.72/37.87 tff(679,plain,(multiply(identity, sk_c7) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 37.72/37.87 tff(680,plain,
% 37.72/37.87 (sk_c7 = multiply(identity, sk_c7)),
% 37.72/37.87 inference(symmetry,[status(thm)],[679])).
% 37.72/37.87 tff(681,plain,
% 37.72/37.87 (sk_c7 = multiply(sk_c8, multiply(sk_c2, sk_c7))),
% 37.72/37.87 inference(transitivity,[status(thm)],[680, 676, 143])).
% 37.72/37.87 tff(682,plain,
% 37.72/37.87 (multiply(sk_c2, sk_c7) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c7)))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[681])).
% 37.72/37.87 tff(683,plain,
% 37.72/37.87 (multiply(sk_c2, sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 37.72/37.87 inference(transitivity,[status(thm)],[682, 672, 669])).
% 37.72/37.87 tff(684,plain,
% 37.72/37.87 ((multiply(sk_c2, sk_c7) = sk_c8) <=> (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[683])).
% 37.72/37.87 tff(685,plain,
% 37.72/37.87 ((~(multiply(sk_c2, sk_c7) = sk_c8)) <=> (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[684])).
% 37.72/37.87 tff(686,assumption,(~(inverse(sk_c1) = sk_c9)), introduced(assumption)).
% 37.72/37.87 tff(687,plain,
% 37.72/37.87 (((inverse(sk_c1) = sk_c9) | (inverse(sk_c3) = sk_c9)) <=> ((inverse(sk_c1) = sk_c9) | (inverse(sk_c3) = sk_c9))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(688,axiom,((inverse(sk_c1) = sk_c9) | (inverse(sk_c3) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 37.72/37.87 tff(689,plain,
% 37.72/37.87 ((inverse(sk_c1) = sk_c9) | (inverse(sk_c3) = sk_c9)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[688, 687])).
% 37.72/37.87 tff(690,plain,
% 37.72/37.87 (inverse(sk_c3) = sk_c9),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[689, 686])).
% 37.72/37.87 tff(691,plain,
% 37.72/37.87 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 37.72/37.87 inference(quant_inst,[status(thm)],[])).
% 37.72/37.87 tff(692,plain,
% 37.72/37.87 (multiply(identity, sk_c3) = sk_c3),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[691, 60])).
% 37.72/37.87 tff(693,plain,
% 37.72/37.87 (inverse(multiply(identity, sk_c3)) = inverse(sk_c3)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[692])).
% 37.72/37.87 tff(694,plain,
% 37.72/37.87 (inverse(multiply(identity, sk_c3)) = sk_c9),
% 37.72/37.87 inference(transitivity,[status(thm)],[693, 690])).
% 37.72/37.87 tff(695,plain,
% 37.72/37.87 (((inverse(sk_c1) = sk_c9) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((inverse(sk_c1) = sk_c9) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(696,axiom,((inverse(sk_c1) = sk_c9) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 37.72/37.87 tff(697,plain,
% 37.72/37.87 ((inverse(sk_c1) = sk_c9) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[696, 695])).
% 37.72/37.87 tff(698,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c6) = sk_c8),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[697, 686])).
% 37.72/37.87 tff(699,plain,
% 37.72/37.87 (multiply(sk_c2, multiply(sk_c8, sk_c2)) = multiply(sk_c2, identity)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[674])).
% 37.72/37.87 tff(700,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c2, sk_c8), sk_c2)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[667])).
% 37.72/37.87 tff(701,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c2) = multiply(sk_c2, identity)),
% 37.72/37.87 inference(transitivity,[status(thm)],[700, 132, 699])).
% 37.72/37.87 tff(702,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, sk_c2), sk_c8) = multiply(multiply(sk_c2, identity), sk_c8)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[701])).
% 37.72/37.87 tff(703,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c8))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[667])).
% 37.72/37.87 tff(704,plain,
% 37.72/37.87 (multiply(sk_c7, multiply(identity, sk_c7)) = multiply(sk_c7, sk_c7)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[679])).
% 37.72/37.87 tff(705,plain,
% 37.72/37.87 ((~![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)))),
% 37.72/37.87 inference(quant_inst,[status(thm)],[])).
% 37.72/37.87 tff(706,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, identity), sk_c7) = multiply(sk_c7, multiply(identity, sk_c7))),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[705, 18])).
% 37.72/37.87 tff(707,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, identity), sk_c7) = sk_c7),
% 37.72/37.87 inference(transitivity,[status(thm)],[706, 704, 703, 139, 702, 121, 119, 666])).
% 37.72/37.87 tff(708,plain,
% 37.72/37.87 (multiply(multiply(multiply(sk_c7, identity), sk_c7), sk_c6) = multiply(sk_c7, sk_c6)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[707])).
% 37.72/37.87 tff(709,plain,
% 37.72/37.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, identity), sk_c7), sk_c6) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c6)))),
% 37.72/37.87 inference(quant_inst,[status(thm)],[])).
% 37.72/37.87 tff(710,plain,
% 37.72/37.87 (multiply(multiply(multiply(sk_c7, identity), sk_c7), sk_c6) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c6))),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[709, 18])).
% 37.72/37.87 tff(711,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c7, identity), sk_c7), sk_c6)),
% 37.72/37.87 inference(symmetry,[status(thm)],[710])).
% 37.72/37.87 tff(712,plain,
% 37.72/37.87 (sk_c8 = multiply(sk_c7, sk_c6)),
% 37.72/37.87 inference(symmetry,[status(thm)],[698])).
% 37.72/37.87 tff(713,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c6))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[712])).
% 37.72/37.87 tff(714,plain,
% 37.72/37.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c8) = multiply(sk_c7, multiply(identity, sk_c8)))),
% 37.72/37.87 inference(quant_inst,[status(thm)],[])).
% 37.72/37.87 tff(715,plain,
% 37.72/37.87 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(sk_c7, multiply(identity, sk_c8))),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[714, 18])).
% 37.72/37.87 tff(716,plain,
% 37.72/37.87 (multiply(sk_c7, multiply(identity, sk_c8)) = multiply(multiply(sk_c7, identity), sk_c8)),
% 37.72/37.87 inference(symmetry,[status(thm)],[715])).
% 37.72/37.87 tff(717,plain,
% 37.72/37.87 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(identity, sk_c8))),
% 37.72/37.87 inference(monotonicity,[status(thm)],[535])).
% 37.72/37.87 tff(718,plain,
% 37.72/37.87 (((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(719,axiom,((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 37.72/37.87 tff(720,plain,
% 37.72/37.87 ((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[719, 718])).
% 37.72/37.87 tff(721,plain,
% 37.72/37.87 (multiply(sk_c4, sk_c7) = sk_c8),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[720, 686])).
% 37.72/37.87 tff(722,plain,
% 37.72/37.87 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c8)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[721])).
% 37.72/37.87 tff(723,plain,
% 37.72/37.87 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8),
% 37.72/37.87 inference(transitivity,[status(thm)],[722, 717, 716, 713, 711, 708, 698])).
% 37.72/37.87 tff(724,plain,
% 37.72/37.87 (multiply(identity, multiply(sk_c3, sk_c9)) = multiply(identity, sk_c8)),
% 37.72/37.87 inference(monotonicity,[status(thm)],[599])).
% 37.72/37.87 tff(725,plain,
% 37.72/37.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c3), sk_c9) = multiply(identity, multiply(sk_c3, sk_c9)))),
% 37.72/37.87 inference(quant_inst,[status(thm)],[])).
% 37.72/37.87 tff(726,plain,
% 37.72/37.87 (multiply(multiply(identity, sk_c3), sk_c9) = multiply(identity, multiply(sk_c3, sk_c9))),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[725, 18])).
% 37.72/37.87 tff(727,plain,
% 37.72/37.87 (multiply(multiply(identity, sk_c3), sk_c9) = sk_c8),
% 37.72/37.87 inference(transitivity,[status(thm)],[726, 724, 118])).
% 37.72/37.87 tff(728,plain,
% 37.72/37.87 (((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c7)) <=> ((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c7))),
% 37.72/37.87 inference(rewrite,[status(thm)],[])).
% 37.72/37.87 tff(729,axiom,((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 37.72/37.87 tff(730,plain,
% 37.72/37.87 ((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c7)),
% 37.72/37.87 inference(modus_ponens,[status(thm)],[729, 728])).
% 37.72/37.87 tff(731,plain,
% 37.72/37.87 (inverse(sk_c4) = sk_c7),
% 37.72/37.87 inference(unit_resolution,[status(thm)],[730, 686])).
% 37.72/37.87 tff(732,plain,
% 37.72/37.87 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)))),
% 37.72/37.88 inference(rewrite,[status(thm)],[])).
% 37.72/37.88 tff(733,plain,
% 37.72/37.88 (((~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9))) <=> ((~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)))),
% 37.72/37.88 inference(rewrite,[status(thm)],[])).
% 37.72/37.88 tff(734,plain,
% 37.72/37.88 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8))))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[733])).
% 37.72/37.88 tff(735,plain,
% 37.72/37.88 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)))),
% 37.72/37.88 inference(transitivity,[status(thm)],[734, 732])).
% 37.72/37.88 tff(736,plain,
% 37.72/37.88 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | ((~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)))),
% 37.72/37.88 inference(quant_inst,[status(thm)],[])).
% 37.72/37.88 tff(737,plain,
% 37.72/37.88 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(inverse(X1) = sk_c9)) | (~(multiply(X1, sk_c9) = sk_c8)) | (~(multiply(X3, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(sk_c7, multiply(X6, sk_c7)) = sk_c8)) | (~(inverse(X2) = sk_c7)) | (~(multiply(X2, sk_c7) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)))) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9)) | (~(multiply(multiply(identity, sk_c3), sk_c9) = sk_c8))),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[736, 735])).
% 37.72/37.88 tff(738,plain,
% 37.72/37.88 ((~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[737, 721, 731, 666, 608, 92, 727])).
% 37.72/37.88 tff(739,plain,
% 37.72/37.88 ($false),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[738, 723, 694])).
% 37.72/37.88 tff(740,plain,(inverse(sk_c1) = sk_c9), inference(lemma,lemma(discharge,[]))).
% 37.72/37.88 tff(741,assumption,(multiply(identity, sk_c7) = sk_c7), introduced(assumption)).
% 37.72/37.88 tff(742,plain,
% 37.72/37.88 (multiply(sk_c1, sk_c9) = inverse(sk_c2)),
% 37.72/37.88 inference(transitivity,[status(thm)],[124, 609])).
% 37.72/37.88 tff(743,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[742])).
% 37.72/37.88 tff(744,plain,
% 37.72/37.88 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c1, sk_c9), sk_c2)),
% 37.72/37.88 inference(symmetry,[status(thm)],[743])).
% 37.72/37.88 tff(745,plain,
% 37.72/37.88 (identity = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.72/37.88 inference(transitivity,[status(thm)],[154, 744, 152])).
% 37.72/37.88 tff(746,plain,
% 37.72/37.88 (multiply(identity, sk_c9) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[745])).
% 37.72/37.88 tff(747,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9) = multiply(identity, sk_c9)),
% 37.72/37.88 inference(symmetry,[status(thm)],[746])).
% 37.72/37.88 tff(748,plain,
% 37.72/37.88 (multiply(sk_c9, multiply(sk_c2, sk_c9)) = multiply(multiply(sk_c9, sk_c2), sk_c9)),
% 37.72/37.88 inference(symmetry,[status(thm)],[162])).
% 37.72/37.88 tff(749,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = multiply(sk_c1, multiply(multiply(sk_c9, sk_c2), sk_c9))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[748])).
% 37.72/37.88 tff(750,plain,
% 37.72/37.88 (multiply(sk_c3, sk_c9) = multiply(sk_c1, sk_c9)),
% 37.72/37.88 inference(transitivity,[status(thm)],[599, 127])).
% 37.72/37.88 tff(751,plain,
% 37.72/37.88 (multiply(multiply(sk_c3, sk_c9), multiply(sk_c2, sk_c9)) = multiply(multiply(sk_c1, sk_c9), multiply(sk_c2, sk_c9))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[750])).
% 37.72/37.88 tff(752,plain,
% 37.72/37.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c9), multiply(sk_c2, sk_c9)) = multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.72/37.88 inference(quant_inst,[status(thm)],[])).
% 37.72/37.88 tff(753,plain,
% 37.72/37.88 (multiply(multiply(sk_c3, sk_c9), multiply(sk_c2, sk_c9)) = multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9)))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[752, 18])).
% 37.72/37.88 tff(754,plain,
% 37.72/37.88 (multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9))) = multiply(multiply(sk_c3, sk_c9), multiply(sk_c2, sk_c9))),
% 37.72/37.88 inference(symmetry,[status(thm)],[753])).
% 37.72/37.88 tff(755,plain,
% 37.72/37.88 (multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9))) = sk_c9),
% 37.72/37.88 inference(transitivity,[status(thm)],[754, 751, 340, 749, 160, 747, 150])).
% 37.72/37.88 tff(756,plain,
% 37.72/37.88 (multiply(multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2) = multiply(sk_c9, sk_c2)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[755])).
% 37.72/37.88 tff(757,plain,
% 37.72/37.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2) = multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.72/37.88 inference(quant_inst,[status(thm)],[])).
% 37.72/37.88 tff(758,plain,
% 37.72/37.88 (multiply(multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2) = multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[757, 18])).
% 37.72/37.88 tff(759,plain,
% 37.72/37.88 (multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)) = multiply(multiply(sk_c3, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)),
% 37.72/37.88 inference(symmetry,[status(thm)],[758])).
% 37.72/37.88 tff(760,plain,
% 37.72/37.88 (multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)) = multiply(sk_c9, sk_c2)),
% 37.72/37.88 inference(transitivity,[status(thm)],[759, 756])).
% 37.72/37.88 tff(761,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))) = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[760])).
% 37.72/37.88 tff(762,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(sk_c9, sk_c2)) = multiply(sk_c1, multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.72/37.88 inference(symmetry,[status(thm)],[761])).
% 37.72/37.88 tff(763,plain,
% 37.72/37.88 (identity = multiply(sk_c1, multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.72/37.88 inference(transitivity,[status(thm)],[154, 744, 152, 762])).
% 37.72/37.88 tff(764,plain,
% 37.72/37.88 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[763])).
% 37.72/37.88 tff(765,plain,
% 37.72/37.88 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))) = multiply(sk_c8, identity)),
% 37.72/37.88 inference(symmetry,[status(thm)],[764])).
% 37.72/37.88 tff(766,plain,
% 37.72/37.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))))),
% 37.72/37.88 inference(quant_inst,[status(thm)],[])).
% 37.72/37.88 tff(767,plain,
% 37.72/37.88 (multiply(multiply(sk_c8, sk_c1), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[766, 18])).
% 37.72/37.88 tff(768,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = inverse(sk_c1)),
% 37.72/37.88 inference(transitivity,[status(thm)],[749, 160, 747, 150, 182])).
% 37.72/37.88 tff(769,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[768])).
% 37.72/37.88 tff(770,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1) = identity),
% 37.72/37.88 inference(transitivity,[status(thm)],[769, 180])).
% 37.72/37.88 tff(771,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c1)) = multiply(sk_c1, identity)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[770])).
% 37.72/37.88 tff(772,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))) = sk_c9),
% 37.72/37.88 inference(transitivity,[status(thm)],[749, 160, 747, 150])).
% 37.72/37.88 tff(773,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(sk_c1, sk_c9)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[772])).
% 37.72/37.88 tff(774,plain,
% 37.72/37.88 (multiply(sk_c1, sk_c9) = multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.72/37.88 inference(symmetry,[status(thm)],[773])).
% 37.72/37.88 tff(775,plain,
% 37.72/37.88 (sk_c8 = multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))),
% 37.72/37.88 inference(transitivity,[status(thm)],[127, 774])).
% 37.72/37.88 tff(776,plain,
% 37.72/37.88 (multiply(sk_c8, sk_c1) = multiply(multiply(sk_c1, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c1)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[775])).
% 37.72/37.88 tff(777,plain,
% 37.72/37.88 (multiply(sk_c8, sk_c1) = multiply(sk_c1, identity)),
% 37.72/37.88 inference(transitivity,[status(thm)],[776, 214, 771])).
% 37.72/37.88 tff(778,plain,
% 37.72/37.88 (multiply(multiply(sk_c8, sk_c1), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))) = multiply(multiply(sk_c1, identity), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[777])).
% 37.72/37.88 tff(779,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, identity), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))) = multiply(multiply(sk_c8, sk_c1), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.72/37.88 inference(symmetry,[status(thm)],[778])).
% 37.72/37.88 tff(780,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2) = multiply(sk_c9, sk_c2)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[772])).
% 37.72/37.88 tff(781,plain,
% 37.72/37.88 (multiply(sk_c9, sk_c2) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)),
% 37.72/37.88 inference(symmetry,[status(thm)],[780])).
% 37.72/37.88 tff(782,plain,
% 37.72/37.88 (multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)),
% 37.72/37.88 inference(transitivity,[status(thm)],[759, 756, 781])).
% 37.72/37.88 tff(783,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, identity), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2))) = multiply(multiply(sk_c1, identity), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[782])).
% 37.72/37.88 tff(784,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, identity), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)) = multiply(multiply(sk_c1, identity), multiply(sk_c3, multiply(multiply(sk_c9, multiply(sk_c2, sk_c9)), sk_c2)))),
% 37.72/37.88 inference(symmetry,[status(thm)],[783])).
% 37.72/37.88 tff(785,plain,
% 37.72/37.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, identity), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2) = multiply(multiply(sk_c1, identity), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2)))),
% 37.72/37.88 inference(quant_inst,[status(thm)],[])).
% 37.72/37.88 tff(786,plain,
% 37.72/37.88 (multiply(multiply(multiply(sk_c1, identity), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2) = multiply(multiply(sk_c1, identity), multiply(multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))), sk_c2))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[785, 18])).
% 37.72/37.88 tff(787,plain,
% 37.72/37.88 (multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(multiply(sk_c1, multiply(sk_c9, sk_c2)), sk_c9)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[745, 772])).
% 37.72/37.88 tff(788,plain,
% 37.72/37.88 (multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = sk_c9),
% 37.72/37.88 inference(transitivity,[status(thm)],[787, 747, 150])).
% 37.72/37.88 tff(789,plain,
% 37.72/37.88 (multiply(sk_c1, multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))) = multiply(sk_c1, sk_c9)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[788])).
% 37.72/37.88 tff(790,plain,
% 37.72/37.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(sk_c1, multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9))))))),
% 37.72/37.88 inference(quant_inst,[status(thm)],[])).
% 37.72/37.88 tff(791,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, identity), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = multiply(sk_c1, multiply(identity, multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[790, 18])).
% 37.72/37.88 tff(792,plain,
% 37.72/37.88 (multiply(multiply(sk_c1, identity), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))) = inverse(sk_c2)),
% 37.72/37.88 inference(transitivity,[status(thm)],[791, 789, 124, 609])).
% 37.72/37.88 tff(793,plain,
% 37.72/37.88 (multiply(multiply(multiply(sk_c1, identity), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[792])).
% 37.72/37.88 tff(794,plain,
% 37.72/37.88 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(multiply(sk_c1, identity), multiply(sk_c1, multiply(sk_c9, multiply(sk_c2, sk_c9)))), sk_c2)),
% 37.72/37.88 inference(symmetry,[status(thm)],[793])).
% 37.72/37.88 tff(795,plain,
% 37.72/37.88 (identity = multiply(sk_c8, identity)),
% 37.72/37.88 inference(transitivity,[status(thm)],[154, 794, 786, 784, 779, 767, 765])).
% 37.72/37.88 tff(796,plain,
% 37.72/37.88 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, identity), sk_c7)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[795])).
% 37.72/37.88 tff(797,plain,
% 37.72/37.88 (multiply(multiply(sk_c8, identity), sk_c7) = multiply(identity, sk_c7)),
% 37.72/37.88 inference(symmetry,[status(thm)],[796])).
% 37.72/37.88 tff(798,plain,
% 37.72/37.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, identity), sk_c7) = multiply(sk_c8, multiply(identity, sk_c7)))),
% 37.72/37.88 inference(quant_inst,[status(thm)],[])).
% 37.72/37.88 tff(799,plain,
% 37.72/37.88 (multiply(multiply(sk_c8, identity), sk_c7) = multiply(sk_c8, multiply(identity, sk_c7))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[798, 18])).
% 37.72/37.88 tff(800,plain,
% 37.72/37.88 (multiply(sk_c8, multiply(identity, sk_c7)) = multiply(multiply(sk_c8, identity), sk_c7)),
% 37.72/37.88 inference(symmetry,[status(thm)],[799])).
% 37.72/37.88 tff(801,plain,
% 37.72/37.88 (multiply(identity, sk_c7) = multiply(sk_c2, sk_c8)),
% 37.72/37.88 inference(transitivity,[status(thm)],[741, 667])).
% 37.72/37.88 tff(802,plain,
% 37.72/37.88 (multiply(sk_c8, multiply(identity, sk_c7)) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[801])).
% 37.72/37.88 tff(803,plain,
% 37.72/37.88 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, multiply(identity, sk_c7))),
% 37.72/37.88 inference(symmetry,[status(thm)],[802])).
% 37.72/37.88 tff(804,plain,
% 37.72/37.88 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[674])).
% 37.72/37.88 tff(805,plain,
% 37.72/37.88 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 37.72/37.88 inference(symmetry,[status(thm)],[804])).
% 37.72/37.88 tff(806,plain,
% 37.72/37.88 (inverse(sk_c2) = sk_c7),
% 37.72/37.88 inference(transitivity,[status(thm)],[608, 535, 805, 533, 803, 800, 797, 741])).
% 37.72/37.88 tff(807,assumption,(~(inverse(sk_c2) = sk_c7)), introduced(assumption)).
% 37.72/37.88 tff(808,plain,
% 37.72/37.88 ($false),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[807, 806])).
% 37.72/37.88 tff(809,plain,((~(multiply(identity, sk_c7) = sk_c7)) | (inverse(sk_c2) = sk_c7) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c1) = sk_c9))), inference(lemma,lemma(discharge,[]))).
% 37.72/37.88 tff(810,plain,
% 37.72/37.88 ((inverse(sk_c2) = sk_c7) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c1) = sk_c9))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[809, 679])).
% 37.72/37.88 tff(811,plain,
% 37.72/37.88 ((inverse(sk_c2) = sk_c7) | (~(multiply(sk_c1, sk_c9) = sk_c8))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[810, 740])).
% 37.72/37.88 tff(812,plain,
% 37.72/37.88 (inverse(sk_c2) = sk_c7),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[811, 124])).
% 37.72/37.88 tff(813,plain,
% 37.72/37.88 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8) | (~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c1) = sk_c9))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[540, 666, 608])).
% 37.72/37.88 tff(814,plain,
% 37.72/37.88 ((multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8) | (~(multiply(sk_c1, sk_c9) = sk_c8))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[813, 740])).
% 37.72/37.88 tff(815,plain,
% 37.72/37.88 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[814, 124])).
% 37.72/37.88 tff(816,plain,
% 37.72/37.88 ((~(multiply(sk_c1, sk_c9) = sk_c8)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8))),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[596, 740, 666, 608, 92])).
% 37.72/37.88 tff(817,plain,
% 37.72/37.88 (~(multiply(sk_c2, sk_c7) = sk_c8)),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[816, 815, 812, 124])).
% 37.72/37.88 tff(818,plain,
% 37.72/37.88 (~(multiply(sk_c7, multiply(sk_c2, sk_c7)) = sk_c8)),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[817, 685])).
% 37.72/37.88 tff(819,plain,
% 37.72/37.88 ($false),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[815, 818])).
% 37.72/37.88 tff(820,plain,(~(multiply(sk_c1, sk_c9) = sk_c8)), inference(lemma,lemma(discharge,[]))).
% 37.72/37.88 tff(821,plain,
% 37.72/37.88 (((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9)) <=> ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9))),
% 37.72/37.88 inference(rewrite,[status(thm)],[])).
% 37.72/37.88 tff(822,axiom,((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 37.72/37.88 tff(823,plain,
% 37.72/37.88 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9)),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[822, 821])).
% 37.72/37.88 tff(824,plain,
% 37.72/37.88 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9)),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[823, 821])).
% 37.72/37.88 tff(825,plain,
% 37.72/37.88 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9)),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[824, 821])).
% 37.72/37.88 tff(826,plain,
% 37.72/37.88 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9)),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[825, 821])).
% 37.72/37.88 tff(827,plain,
% 37.72/37.88 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c3) = sk_c9)),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[826, 821])).
% 37.72/37.88 tff(828,plain,
% 37.72/37.88 (inverse(sk_c3) = sk_c9),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[827, 820])).
% 37.72/37.88 tff(829,plain,
% 37.72/37.88 (inverse(multiply(identity, sk_c3)) = sk_c9),
% 37.72/37.88 inference(transitivity,[status(thm)],[693, 828])).
% 37.72/37.88 tff(830,plain,
% 37.72/37.88 (((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 37.72/37.88 inference(rewrite,[status(thm)],[])).
% 37.72/37.88 tff(831,axiom,((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 37.72/37.88 tff(832,plain,
% 37.72/37.88 ((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 37.72/37.88 inference(modus_ponens,[status(thm)],[831, 830])).
% 37.72/37.88 tff(833,plain,
% 37.72/37.88 (multiply(sk_c7, sk_c6) = sk_c8),
% 37.72/37.88 inference(unit_resolution,[status(thm)],[832, 820])).
% 37.72/37.88 tff(834,plain,
% 37.72/37.88 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 37.72/37.88 inference(symmetry,[status(thm)],[673])).
% 37.72/37.88 tff(835,plain,
% 37.72/37.88 (identity = multiply(sk_c8, sk_c2)),
% 37.72/37.88 inference(transitivity,[status(thm)],[154, 834])).
% 37.72/37.88 tff(836,plain,
% 37.72/37.88 (multiply(sk_c2, identity) = multiply(sk_c2, multiply(sk_c8, sk_c2))),
% 37.72/37.88 inference(monotonicity,[status(thm)],[835])).
% 37.72/37.88 tff(837,plain,
% 37.72/37.88 (multiply(sk_c2, multiply(sk_c8, sk_c2)) = multiply(sk_c2, identity)),
% 37.72/37.88 inference(symmetry,[status(thm)],[836])).
% 37.72/37.88 tff(838,plain,
% 37.72/37.88 (multiply(sk_c7, sk_c2) = multiply(sk_c2, identity)),
% 37.72/37.88 inference(transitivity,[status(thm)],[700, 132, 837])).
% 37.72/37.88 tff(839,plain,
% 37.72/37.88 (multiply(multiply(sk_c7, sk_c2), sk_c8) = multiply(multiply(sk_c2, identity), sk_c8)),
% 37.72/37.88 inference(monotonicity,[status(thm)],[838])).
% 37.72/37.88 tff(840,plain,
% 37.72/37.88 (multiply(multiply(sk_c7, identity), sk_c7) = sk_c7),
% 37.72/37.88 inference(transitivity,[status(thm)],[706, 704, 703, 139, 839, 121, 119, 666])).
% 37.75/37.90 tff(841,plain,
% 37.75/37.90 (multiply(multiply(multiply(sk_c7, identity), sk_c7), sk_c6) = multiply(sk_c7, sk_c6)),
% 37.75/37.90 inference(monotonicity,[status(thm)],[840])).
% 37.75/37.90 tff(842,plain,
% 37.75/37.90 (sk_c8 = multiply(sk_c7, sk_c6)),
% 37.75/37.90 inference(symmetry,[status(thm)],[833])).
% 37.75/37.90 tff(843,plain,
% 37.75/37.90 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(sk_c7, identity), multiply(sk_c7, sk_c6))),
% 37.75/37.90 inference(monotonicity,[status(thm)],[842])).
% 37.75/37.90 tff(844,plain,
% 37.75/37.90 (((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 37.75/37.90 inference(rewrite,[status(thm)],[])).
% 37.75/37.90 tff(845,axiom,((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 37.75/37.90 tff(846,plain,
% 37.75/37.90 ((multiply(sk_c1, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 37.75/37.90 inference(modus_ponens,[status(thm)],[845, 844])).
% 37.75/37.90 tff(847,plain,
% 37.75/37.90 (multiply(sk_c4, sk_c7) = sk_c8),
% 37.75/37.90 inference(unit_resolution,[status(thm)],[846, 820])).
% 37.75/37.90 tff(848,plain,
% 37.75/37.90 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = multiply(sk_c7, sk_c8)),
% 37.75/37.90 inference(monotonicity,[status(thm)],[847])).
% 37.75/37.90 tff(849,plain,
% 37.75/37.90 (multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8),
% 37.75/37.90 inference(transitivity,[status(thm)],[848, 717, 716, 843, 711, 841, 833])).
% 37.75/37.90 tff(850,plain,
% 37.75/37.90 (((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7)) <=> ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7))),
% 37.75/37.90 inference(rewrite,[status(thm)],[])).
% 37.75/37.90 tff(851,axiom,((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 37.75/37.90 tff(852,plain,
% 37.75/37.90 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 37.75/37.90 inference(modus_ponens,[status(thm)],[851, 850])).
% 37.75/37.90 tff(853,plain,
% 37.75/37.90 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 37.75/37.90 inference(modus_ponens,[status(thm)],[852, 850])).
% 37.75/37.90 tff(854,plain,
% 37.75/37.90 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 37.75/37.90 inference(modus_ponens,[status(thm)],[853, 850])).
% 37.75/37.90 tff(855,plain,
% 37.75/37.90 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 37.75/37.90 inference(modus_ponens,[status(thm)],[854, 850])).
% 37.75/37.90 tff(856,plain,
% 37.75/37.90 ((multiply(sk_c1, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c7)),
% 37.75/37.90 inference(modus_ponens,[status(thm)],[855, 850])).
% 37.75/37.90 tff(857,plain,
% 37.75/37.90 (inverse(sk_c4) = sk_c7),
% 37.75/37.90 inference(unit_resolution,[status(thm)],[856, 820])).
% 37.75/37.90 tff(858,plain,
% 37.75/37.90 ((~(multiply(sk_c7, multiply(sk_c4, sk_c7)) = sk_c8)) | (~(inverse(multiply(identity, sk_c3)) = sk_c9))),
% 37.75/37.90 inference(unit_resolution,[status(thm)],[737, 847, 857, 666, 608, 92, 727])).
% 37.75/37.90 tff(859,plain,
% 37.75/37.90 ($false),
% 37.75/37.90 inference(unit_resolution,[status(thm)],[858, 849, 829])).
% 37.75/37.90 % SZS output end Proof
% 37.75/37.91 % E exiting
%------------------------------------------------------------------------------