%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP344-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 05:07:38 AM UTC 2025
% Result : Unsatisfiable 8.38s 8.57s
% Output : Proof 8.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP344-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 19 15:57:23 EDT 2025
% 0.13/0.33 % CPUTime :
% 8.38/8.57 % SZS status Unsatisfiable
% 8.38/8.57 % SZS output start Proof
% 8.38/8.57 tff(sk_c5_type, type, (
% 8.38/8.57 sk_c5: $i)).
% 8.38/8.57 tff(multiply_type, type, (
% 8.38/8.57 multiply: ( $i * $i ) > $i)).
% 8.38/8.57 tff(sk_c6_type, type, (
% 8.38/8.57 sk_c6: $i)).
% 8.38/8.57 tff(sk_c3_type, type, (
% 8.38/8.57 sk_c3: $i)).
% 8.38/8.57 tff(sk_c7_type, type, (
% 8.38/8.57 sk_c7: $i)).
% 8.38/8.57 tff(sk_c1_type, type, (
% 8.38/8.57 sk_c1: $i)).
% 8.38/8.57 tff(inverse_type, type, (
% 8.38/8.57 inverse: $i > $i)).
% 8.38/8.57 tff(identity_type, type, (
% 8.38/8.57 identity: $i)).
% 8.38/8.57 tff(sk_c4_type, type, (
% 8.38/8.57 sk_c4: $i)).
% 8.38/8.57 tff(sk_c2_type, type, (
% 8.38/8.57 sk_c2: $i)).
% 8.38/8.57 tff(1,plain,
% 8.38/8.57 ((multiply(sk_c6, sk_c7) = sk_c5) <=> (multiply(sk_c6, sk_c7) = sk_c5)),
% 8.38/8.57 inference(rewrite,[status(thm)],[])).
% 8.38/8.57 tff(2,axiom,(multiply(sk_c6, sk_c7) = sk_c5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 8.38/8.57 tff(3,plain,
% 8.38/8.57 (multiply(sk_c6, sk_c7) = sk_c5),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[2, 1])).
% 8.38/8.57 tff(4,assumption,(~(multiply(sk_c1, sk_c6) = sk_c7)), introduced(assumption)).
% 8.38/8.57 tff(5,plain,
% 8.38/8.57 (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 8.38/8.57 inference(rewrite,[status(thm)],[])).
% 8.38/8.57 tff(6,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 8.38/8.57 tff(7,plain,
% 8.38/8.57 ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[6, 5])).
% 8.38/8.57 tff(8,plain,
% 8.38/8.57 (multiply(sk_c3, sk_c6) = sk_c7),
% 8.38/8.57 inference(unit_resolution,[status(thm)],[7, 4])).
% 8.38/8.57 tff(9,plain,
% 8.38/8.57 (sk_c7 = multiply(sk_c3, sk_c6)),
% 8.38/8.57 inference(symmetry,[status(thm)],[8])).
% 8.38/8.57 tff(10,plain,
% 8.38/8.57 (inverse(sk_c7) = inverse(multiply(sk_c3, sk_c6))),
% 8.38/8.57 inference(monotonicity,[status(thm)],[9])).
% 8.38/8.57 tff(11,plain,
% 8.38/8.57 ((inverse(sk_c7) = sk_c6) <=> (inverse(multiply(sk_c3, sk_c6)) = sk_c6)),
% 8.38/8.57 inference(monotonicity,[status(thm)],[10])).
% 8.38/8.57 tff(12,plain,
% 8.38/8.57 ((inverse(multiply(sk_c3, sk_c6)) = sk_c6) <=> (inverse(sk_c7) = sk_c6)),
% 8.38/8.57 inference(symmetry,[status(thm)],[11])).
% 8.38/8.57 tff(13,plain,
% 8.38/8.57 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 8.38/8.57 inference(monotonicity,[status(thm)],[9])).
% 8.38/8.57 tff(14,plain,
% 8.38/8.57 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 8.38/8.57 inference(symmetry,[status(thm)],[13])).
% 8.38/8.57 tff(15,plain,
% 8.38/8.57 (^[Z: $i, Y: $i, X: $i] : refl((multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))))),
% 8.38/8.57 inference(bind,[status(th)],[])).
% 8.38/8.57 tff(16,plain,
% 8.38/8.57 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.38/8.57 inference(quant_intro,[status(thm)],[15])).
% 8.38/8.57 tff(17,plain,
% 8.38/8.57 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.38/8.57 inference(rewrite,[status(thm)],[])).
% 8.38/8.57 tff(18,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')).
% 8.38/8.57 tff(19,plain,
% 8.38/8.57 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[18, 17])).
% 8.38/8.57 tff(20,plain,(
% 8.38/8.57 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.38/8.57 inference(skolemize,[status(sab)],[19])).
% 8.38/8.57 tff(21,plain,
% 8.38/8.57 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[20, 16])).
% 8.38/8.57 tff(22,plain,
% 8.38/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 8.38/8.57 inference(quant_inst,[status(thm)],[])).
% 8.38/8.57 tff(23,plain,
% 8.38/8.57 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 8.38/8.57 inference(unit_resolution,[status(thm)],[22, 21])).
% 8.38/8.57 tff(24,plain,
% 8.38/8.57 (((inverse(sk_c3) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7)) <=> ((inverse(sk_c3) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 8.38/8.57 inference(rewrite,[status(thm)],[])).
% 8.38/8.57 tff(25,plain,
% 8.38/8.57 (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)) <=> ((inverse(sk_c3) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 8.38/8.57 inference(rewrite,[status(thm)],[])).
% 8.38/8.57 tff(26,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c3) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 8.38/8.57 tff(27,plain,
% 8.38/8.57 ((inverse(sk_c3) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[26, 25])).
% 8.38/8.57 tff(28,plain,
% 8.38/8.57 ((inverse(sk_c3) = sk_c6) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[27, 24])).
% 8.38/8.57 tff(29,plain,
% 8.38/8.57 (inverse(sk_c3) = sk_c6),
% 8.38/8.57 inference(unit_resolution,[status(thm)],[28, 4])).
% 8.38/8.57 tff(30,plain,
% 8.38/8.57 (sk_c6 = inverse(sk_c3)),
% 8.38/8.57 inference(symmetry,[status(thm)],[29])).
% 8.38/8.57 tff(31,plain,
% 8.38/8.57 (multiply(sk_c6, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 8.38/8.57 inference(monotonicity,[status(thm)],[30])).
% 8.38/8.57 tff(32,plain,
% 8.38/8.57 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c6, sk_c3)),
% 8.38/8.57 inference(symmetry,[status(thm)],[31])).
% 8.38/8.57 tff(33,plain,
% 8.38/8.57 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 8.38/8.57 inference(bind,[status(th)],[])).
% 8.38/8.57 tff(34,plain,
% 8.38/8.57 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.38/8.57 inference(quant_intro,[status(thm)],[33])).
% 8.38/8.57 tff(35,plain,
% 8.38/8.57 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.38/8.57 inference(rewrite,[status(thm)],[])).
% 8.38/8.57 tff(36,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 8.38/8.57 tff(37,plain,
% 8.38/8.57 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[36, 35])).
% 8.38/8.57 tff(38,plain,(
% 8.38/8.57 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.38/8.57 inference(skolemize,[status(sab)],[37])).
% 8.38/8.57 tff(39,plain,
% 8.38/8.57 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[38, 34])).
% 8.38/8.57 tff(40,plain,
% 8.38/8.57 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 8.38/8.57 inference(quant_inst,[status(thm)],[])).
% 8.38/8.57 tff(41,plain,
% 8.38/8.57 (multiply(inverse(sk_c3), sk_c3) = identity),
% 8.38/8.57 inference(unit_resolution,[status(thm)],[40, 39])).
% 8.38/8.57 tff(42,plain,
% 8.38/8.57 (identity = multiply(inverse(sk_c3), sk_c3)),
% 8.38/8.57 inference(symmetry,[status(thm)],[41])).
% 8.38/8.57 tff(43,plain,
% 8.38/8.57 (identity = multiply(sk_c6, sk_c3)),
% 8.38/8.57 inference(transitivity,[status(thm)],[42, 32])).
% 8.38/8.57 tff(44,plain,
% 8.38/8.57 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.38/8.57 inference(monotonicity,[status(thm)],[43])).
% 8.38/8.57 tff(45,plain,
% 8.38/8.57 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 8.38/8.57 inference(bind,[status(th)],[])).
% 8.38/8.57 tff(46,plain,
% 8.38/8.57 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 8.38/8.57 inference(quant_intro,[status(thm)],[45])).
% 8.38/8.57 tff(47,plain,
% 8.38/8.57 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 8.38/8.57 inference(rewrite,[status(thm)],[])).
% 8.38/8.57 tff(48,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 8.38/8.57 tff(49,plain,
% 8.38/8.57 (![X: $i] : (multiply(identity, X) = X)),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[48, 47])).
% 8.38/8.57 tff(50,plain,(
% 8.38/8.57 ![X: $i] : (multiply(identity, X) = X)),
% 8.38/8.57 inference(skolemize,[status(sab)],[49])).
% 8.38/8.57 tff(51,plain,
% 8.38/8.57 (![X: $i] : (multiply(identity, X) = X)),
% 8.38/8.57 inference(modus_ponens,[status(thm)],[50, 46])).
% 8.38/8.57 tff(52,plain,
% 8.38/8.57 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 8.38/8.57 inference(quant_inst,[status(thm)],[])).
% 8.38/8.57 tff(53,plain,
% 8.38/8.57 (multiply(identity, sk_c6) = sk_c6),
% 8.38/8.57 inference(unit_resolution,[status(thm)],[52, 51])).
% 8.38/8.57 tff(54,plain,
% 8.38/8.57 (sk_c6 = multiply(identity, sk_c6)),
% 8.38/8.57 inference(symmetry,[status(thm)],[53])).
% 8.38/8.57 tff(55,plain,
% 8.38/8.57 (sk_c6 = sk_c5),
% 8.41/8.57 inference(transitivity,[status(thm)],[54, 44, 23, 14, 3])).
% 8.41/8.57 tff(56,plain,
% 8.41/8.57 ((inverse(multiply(sk_c3, sk_c6)) = sk_c6) <=> (inverse(multiply(sk_c3, sk_c6)) = sk_c5)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[55])).
% 8.41/8.57 tff(57,plain,
% 8.41/8.57 ((inverse(multiply(sk_c3, sk_c6)) = sk_c5) <=> (inverse(multiply(sk_c3, sk_c6)) = sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[56])).
% 8.41/8.57 tff(58,plain,
% 8.41/8.57 ((inverse(multiply(sk_c3, sk_c6)) = sk_c5) <=> (inverse(sk_c7) = sk_c6)),
% 8.41/8.57 inference(transitivity,[status(thm)],[57, 12])).
% 8.41/8.57 tff(59,plain,
% 8.41/8.57 (((inverse(sk_c4) = sk_c5) | (multiply(sk_c1, sk_c6) = sk_c7)) <=> ((inverse(sk_c4) = sk_c5) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 8.41/8.57 inference(rewrite,[status(thm)],[])).
% 8.41/8.57 tff(60,plain,
% 8.41/8.57 (((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c5)) <=> ((inverse(sk_c4) = sk_c5) | (multiply(sk_c1, sk_c6) = sk_c7))),
% 8.41/8.57 inference(rewrite,[status(thm)],[])).
% 8.41/8.57 tff(61,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (inverse(sk_c4) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 8.41/8.57 tff(62,plain,
% 8.41/8.57 ((inverse(sk_c4) = sk_c5) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 8.41/8.57 inference(modus_ponens,[status(thm)],[61, 60])).
% 8.41/8.57 tff(63,plain,
% 8.41/8.57 ((inverse(sk_c4) = sk_c5) | (multiply(sk_c1, sk_c6) = sk_c7)),
% 8.41/8.57 inference(modus_ponens,[status(thm)],[62, 59])).
% 8.41/8.57 tff(64,plain,
% 8.41/8.57 (inverse(sk_c4) = sk_c5),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[63, 4])).
% 8.41/8.57 tff(65,plain,
% 8.41/8.57 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(66,plain,
% 8.41/8.57 (multiply(identity, sk_c4) = sk_c4),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[65, 51])).
% 8.41/8.57 tff(67,plain,
% 8.41/8.57 (multiply(identity, sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[43])).
% 8.41/8.57 tff(68,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(identity, sk_c4)),
% 8.41/8.57 inference(symmetry,[status(thm)],[67])).
% 8.41/8.57 tff(69,plain,
% 8.41/8.57 (sk_c5 = inverse(sk_c4)),
% 8.41/8.57 inference(symmetry,[status(thm)],[64])).
% 8.41/8.57 tff(70,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(71,plain,
% 8.41/8.57 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[70, 21])).
% 8.41/8.57 tff(72,plain,
% 8.41/8.57 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[71])).
% 8.41/8.57 tff(73,plain,
% 8.41/8.57 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)) = identity)),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(74,plain,
% 8.41/8.57 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)) = identity),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[73, 39])).
% 8.41/8.57 tff(75,plain,
% 8.41/8.57 (identity = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))),
% 8.41/8.57 inference(symmetry,[status(thm)],[74])).
% 8.41/8.57 tff(76,plain,
% 8.41/8.57 (multiply(sk_c6, sk_c3) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)),
% 8.41/8.57 inference(transitivity,[status(thm)],[31, 41, 75, 72])).
% 8.41/8.57 tff(77,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[76])).
% 8.41/8.57 tff(78,plain,
% 8.41/8.57 (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[77])).
% 8.41/8.57 tff(79,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(80,plain,
% 8.41/8.57 (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[79, 21])).
% 8.41/8.57 tff(81,plain,
% 8.41/8.57 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[80])).
% 8.41/8.57 tff(82,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[44])).
% 8.41/8.57 tff(83,plain,
% 8.41/8.57 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(84,plain,
% 8.41/8.57 (multiply(inverse(sk_c4), sk_c4) = identity),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[83, 39])).
% 8.41/8.57 tff(85,plain,
% 8.41/8.57 (multiply(sk_c5, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[69])).
% 8.41/8.57 tff(86,plain,
% 8.41/8.57 (multiply(sk_c5, sk_c4) = multiply(sk_c6, sk_c3)),
% 8.41/8.57 inference(transitivity,[status(thm)],[85, 84, 42, 32])).
% 8.41/8.57 tff(87,plain,
% 8.41/8.57 (multiply(multiply(sk_c5, sk_c4), sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[86])).
% 8.41/8.57 tff(88,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c4), sk_c6) = multiply(sk_c5, multiply(sk_c4, sk_c6)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(89,plain,
% 8.41/8.57 (multiply(multiply(sk_c5, sk_c4), sk_c6) = multiply(sk_c5, multiply(sk_c4, sk_c6))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[88, 21])).
% 8.41/8.57 tff(90,plain,
% 8.41/8.57 (multiply(sk_c5, multiply(sk_c4, sk_c6)) = multiply(multiply(sk_c5, sk_c4), sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[89])).
% 8.41/8.57 tff(91,plain,
% 8.41/8.57 (((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)) <=> ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5))),
% 8.41/8.57 inference(rewrite,[status(thm)],[])).
% 8.41/8.57 tff(92,axiom,((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 8.41/8.57 tff(93,plain,
% 8.41/8.57 ((multiply(sk_c1, sk_c6) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 8.41/8.57 inference(modus_ponens,[status(thm)],[92, 91])).
% 8.41/8.57 tff(94,plain,
% 8.41/8.57 (multiply(sk_c4, sk_c6) = sk_c5),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[93, 4])).
% 8.41/8.57 tff(95,plain,
% 8.41/8.57 (sk_c5 = multiply(sk_c4, sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[94])).
% 8.41/8.57 tff(96,plain,
% 8.41/8.57 (sk_c6 = multiply(sk_c4, sk_c6)),
% 8.41/8.57 inference(transitivity,[status(thm)],[54, 44, 23, 14, 3, 95])).
% 8.41/8.57 tff(97,plain,
% 8.41/8.57 (multiply(sk_c6, sk_c6) = multiply(sk_c5, multiply(sk_c4, sk_c6))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[55, 96])).
% 8.41/8.57 tff(98,plain,
% 8.41/8.57 (multiply(sk_c6, sk_c6) = sk_c6),
% 8.41/8.57 inference(transitivity,[status(thm)],[97, 90, 87, 82, 53])).
% 8.41/8.57 tff(99,plain,
% 8.41/8.57 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[98])).
% 8.41/8.57 tff(100,plain,
% 8.41/8.57 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6))),
% 8.41/8.57 inference(symmetry,[status(thm)],[99])).
% 8.41/8.57 tff(101,plain,
% 8.41/8.57 (multiply(sk_c6, sk_c3) = inverse(sk_c4)),
% 8.41/8.57 inference(transitivity,[status(thm)],[31, 41, 75, 72, 100, 81, 78, 23, 14, 3, 69])).
% 8.41/8.57 tff(102,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[101])).
% 8.41/8.57 tff(103,plain,
% 8.41/8.57 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.41/8.57 inference(symmetry,[status(thm)],[102])).
% 8.41/8.57 tff(104,plain,
% 8.41/8.57 (identity = multiply(inverse(sk_c4), sk_c4)),
% 8.41/8.57 inference(symmetry,[status(thm)],[84])).
% 8.41/8.57 tff(105,plain,
% 8.41/8.57 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[23])).
% 8.41/8.57 tff(106,plain,
% 8.41/8.57 (sk_c5 = multiply(sk_c6, sk_c7)),
% 8.41/8.57 inference(symmetry,[status(thm)],[3])).
% 8.41/8.57 tff(107,plain,
% 8.41/8.57 (sk_c5 = inverse(sk_c3)),
% 8.41/8.57 inference(transitivity,[status(thm)],[106, 13, 105, 82, 53, 30])).
% 8.41/8.57 tff(108,plain,
% 8.41/8.57 (multiply(sk_c5, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[107])).
% 8.41/8.57 tff(109,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c5, sk_c3)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[3])).
% 8.41/8.57 tff(110,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(111,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[110, 21])).
% 8.41/8.57 tff(112,plain,
% 8.41/8.57 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 8.41/8.57 inference(symmetry,[status(thm)],[111])).
% 8.41/8.57 tff(113,plain,
% 8.41/8.57 (multiply(sk_c7, sk_c3) = multiply(multiply(sk_c3, sk_c6), sk_c3)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[9])).
% 8.41/8.57 tff(114,plain,
% 8.41/8.57 (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c7, sk_c3)),
% 8.41/8.57 inference(symmetry,[status(thm)],[113])).
% 8.41/8.57 tff(115,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(116,plain,
% 8.41/8.57 (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[115, 21])).
% 8.41/8.57 tff(117,plain,
% 8.41/8.57 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, sk_c6), sk_c3)),
% 8.41/8.57 inference(symmetry,[status(thm)],[116])).
% 8.41/8.57 tff(118,plain,
% 8.41/8.57 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(sk_c7, sk_c3)),
% 8.41/8.57 inference(transitivity,[status(thm)],[117, 114])).
% 8.41/8.57 tff(119,plain,
% 8.41/8.57 (identity = sk_c6),
% 8.41/8.57 inference(transitivity,[status(thm)],[75, 72, 100, 81, 78, 82, 53])).
% 8.41/8.57 tff(120,plain,
% 8.41/8.57 (multiply(identity, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[119, 118])).
% 8.41/8.57 tff(121,plain,
% 8.41/8.57 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(122,plain,
% 8.41/8.57 (multiply(identity, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[121, 51])).
% 8.41/8.57 tff(123,plain,
% 8.41/8.57 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(identity, multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 8.41/8.57 inference(symmetry,[status(thm)],[122])).
% 8.41/8.57 tff(124,plain,
% 8.41/8.57 (sk_c5 = multiply(sk_c6, sk_c3)),
% 8.41/8.57 inference(transitivity,[status(thm)],[106, 13, 105, 77, 80, 99, 71, 74, 42, 32])).
% 8.41/8.57 tff(125,plain,
% 8.41/8.57 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[124])).
% 8.41/8.57 tff(126,plain,
% 8.41/8.57 (multiply(sk_c3, sk_c6) = multiply(sk_c3, sk_c5)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[55])).
% 8.41/8.57 tff(127,plain,
% 8.41/8.57 (multiply(sk_c3, sk_c6) = sk_c4),
% 8.41/8.57 inference(transitivity,[status(thm)],[126, 125, 123, 120, 112, 109, 108, 41, 104, 103, 68, 66])).
% 8.41/8.57 tff(128,plain,
% 8.41/8.57 (inverse(multiply(sk_c3, sk_c6)) = inverse(sk_c4)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[127])).
% 8.41/8.57 tff(129,plain,
% 8.41/8.57 (inverse(multiply(sk_c3, sk_c6)) = sk_c5),
% 8.41/8.57 inference(transitivity,[status(thm)],[128, 64])).
% 8.41/8.57 tff(130,plain,
% 8.41/8.57 (inverse(sk_c7) = sk_c6),
% 8.41/8.57 inference(modus_ponens,[status(thm)],[129, 58])).
% 8.41/8.57 tff(131,plain,
% 8.41/8.57 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c3, sk_c6), sk_c5)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[9])).
% 8.41/8.57 tff(132,plain,
% 8.41/8.57 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(multiply(sk_c3, sk_c6), sk_c5) = sk_c6)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[131])).
% 8.41/8.57 tff(133,plain,
% 8.41/8.57 ((multiply(multiply(sk_c3, sk_c6), sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[132])).
% 8.41/8.57 tff(134,plain,
% 8.41/8.57 (multiply(sk_c3, multiply(sk_c5, sk_c4)) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[86])).
% 8.41/8.57 tff(135,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c5), sk_c4) = multiply(sk_c3, multiply(sk_c5, sk_c4)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(136,plain,
% 8.41/8.57 (multiply(multiply(sk_c3, sk_c5), sk_c4) = multiply(sk_c3, multiply(sk_c5, sk_c4))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[135, 21])).
% 8.41/8.57 tff(137,plain,
% 8.41/8.57 (sk_c7 = multiply(sk_c3, sk_c5)),
% 8.41/8.57 inference(transitivity,[status(thm)],[9, 126])).
% 8.41/8.57 tff(138,plain,
% 8.41/8.57 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c3, sk_c5), sk_c4)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[137])).
% 8.41/8.57 tff(139,plain,
% 8.41/8.57 (multiply(sk_c3, sk_c5) = multiply(sk_c3, sk_c6)),
% 8.41/8.57 inference(symmetry,[status(thm)],[126])).
% 8.41/8.57 tff(140,plain,
% 8.41/8.57 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(sk_c3, sk_c5)),
% 8.41/8.57 inference(symmetry,[status(thm)],[125])).
% 8.41/8.57 tff(141,plain,
% 8.41/8.57 (multiply(sk_c7, sk_c3) = sk_c7),
% 8.41/8.57 inference(transitivity,[status(thm)],[113, 116, 140, 139, 8])).
% 8.41/8.57 tff(142,plain,
% 8.41/8.57 (multiply(multiply(sk_c7, sk_c3), sk_c4) = multiply(sk_c7, sk_c4)),
% 8.41/8.57 inference(monotonicity,[status(thm)],[141])).
% 8.41/8.57 tff(143,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c4) = multiply(sk_c7, multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(144,plain,
% 8.41/8.57 (multiply(multiply(sk_c7, sk_c3), sk_c4) = multiply(sk_c7, multiply(sk_c3, sk_c4))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[143, 21])).
% 8.41/8.57 tff(145,plain,
% 8.41/8.57 (multiply(sk_c7, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c7, sk_c3), sk_c4)),
% 8.41/8.57 inference(symmetry,[status(thm)],[144])).
% 8.41/8.57 tff(146,plain,
% 8.41/8.57 (multiply(sk_c7, multiply(sk_c3, sk_c4)) = sk_c7),
% 8.41/8.57 inference(transitivity,[status(thm)],[145, 142, 138, 136, 134, 140, 139, 8])).
% 8.41/8.57 tff(147,plain,
% 8.41/8.57 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4)) = multiply(sk_c7, multiply(sk_c3, sk_c4))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[146])).
% 8.41/8.57 tff(148,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4)) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(149,plain,
% 8.41/8.57 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4)) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[148, 21])).
% 8.41/8.57 tff(150,plain,
% 8.41/8.57 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4))),
% 8.41/8.57 inference(symmetry,[status(thm)],[149])).
% 8.41/8.57 tff(151,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(152,plain,
% 8.41/8.57 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[151, 21])).
% 8.41/8.57 tff(153,plain,
% 8.41/8.57 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))),
% 8.41/8.57 inference(symmetry,[status(thm)],[152])).
% 8.41/8.57 tff(154,plain,
% 8.41/8.57 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[153])).
% 8.41/8.57 tff(155,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4)))))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(156,plain,
% 8.41/8.57 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[155, 21])).
% 8.41/8.57 tff(157,plain,
% 8.41/8.57 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(158,plain,
% 8.41/8.57 (multiply(identity, multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(sk_c4, multiply(sk_c3, sk_c4))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[157, 51])).
% 8.41/8.57 tff(159,plain,
% 8.41/8.57 (multiply(identity, multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[43])).
% 8.41/8.57 tff(160,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(symmetry,[status(thm)],[159])).
% 8.41/8.57 tff(161,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4)))))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(162,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[161, 21])).
% 8.41/8.57 tff(163,plain,
% 8.41/8.57 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(symmetry,[status(thm)],[162])).
% 8.41/8.57 tff(164,plain,
% 8.41/8.57 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[153])).
% 8.41/8.57 tff(165,plain,
% 8.41/8.57 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.41/8.57 inference(symmetry,[status(thm)],[164])).
% 8.41/8.57 tff(166,plain,
% 8.41/8.57 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(identity, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[54])).
% 8.41/8.57 tff(167,plain,
% 8.41/8.57 (multiply(multiply(identity, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(symmetry,[status(thm)],[166])).
% 8.41/8.57 tff(168,plain,
% 8.41/8.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(identity, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.41/8.57 inference(quant_inst,[status(thm)],[])).
% 8.41/8.57 tff(169,plain,
% 8.41/8.57 (multiply(multiply(identity, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(identity, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.57 inference(unit_resolution,[status(thm)],[168, 21])).
% 8.41/8.57 tff(170,plain,
% 8.41/8.57 (multiply(identity, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(identity, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.57 inference(symmetry,[status(thm)],[169])).
% 8.41/8.57 tff(171,plain,
% 8.41/8.57 (multiply(identity, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.57 inference(monotonicity,[status(thm)],[43])).
% 8.41/8.57 tff(172,plain,
% 8.41/8.57 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(identity, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(symmetry,[status(thm)],[171])).
% 8.41/8.58 tff(173,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(174,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[173, 21])).
% 8.41/8.58 tff(175,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(symmetry,[status(thm)],[174])).
% 8.41/8.58 tff(176,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[8])).
% 8.41/8.58 tff(177,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(178,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[177, 21])).
% 8.41/8.58 tff(179,plain,
% 8.41/8.58 (multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(symmetry,[status(thm)],[178])).
% 8.41/8.58 tff(180,plain,
% 8.41/8.58 (multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(transitivity,[status(thm)],[179, 176])).
% 8.41/8.58 tff(181,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))) = multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[180])).
% 8.41/8.58 tff(182,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.41/8.58 inference(symmetry,[status(thm)],[181])).
% 8.41/8.58 tff(183,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(184,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c7), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[183, 21])).
% 8.41/8.58 tff(185,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c7), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[3])).
% 8.41/8.58 tff(186,plain,
% 8.41/8.58 (multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, sk_c7), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(symmetry,[status(thm)],[185])).
% 8.41/8.58 tff(187,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4)) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(188,plain,
% 8.41/8.58 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4)) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[187, 21])).
% 8.41/8.58 tff(189,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(190,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[189, 21])).
% 8.41/8.58 tff(191,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.41/8.58 inference(symmetry,[status(thm)],[190])).
% 8.41/8.58 tff(192,plain,
% 8.41/8.58 (multiply(multiply(identity, sk_c6), multiply(sk_c3, sk_c4)) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[53])).
% 8.41/8.58 tff(193,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), multiply(sk_c3, sk_c4)) = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(194,plain,
% 8.41/8.58 (multiply(multiply(identity, sk_c6), multiply(sk_c3, sk_c4)) = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[193, 21])).
% 8.41/8.58 tff(195,plain,
% 8.41/8.58 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(identity, sk_c6), multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(symmetry,[status(thm)],[194])).
% 8.41/8.58 tff(196,plain,
% 8.41/8.58 (multiply(sk_c6, sk_c3) = identity),
% 8.41/8.58 inference(transitivity,[status(thm)],[31, 41])).
% 8.41/8.58 tff(197,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[196])).
% 8.41/8.58 tff(198,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(199,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[198, 21])).
% 8.41/8.58 tff(200,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(symmetry,[status(thm)],[199])).
% 8.41/8.58 tff(201,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c4)) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(202,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c4)) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[201, 21])).
% 8.41/8.58 tff(203,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c4)) = multiply(sk_c7, multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[8])).
% 8.41/8.58 tff(204,plain,
% 8.41/8.58 (multiply(sk_c7, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(symmetry,[status(thm)],[203])).
% 8.41/8.58 tff(205,plain,
% 8.41/8.58 (multiply(sk_c7, multiply(sk_c3, sk_c4)) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(transitivity,[status(thm)],[204, 202])).
% 8.41/8.58 tff(206,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[205])).
% 8.41/8.58 tff(207,plain,
% 8.41/8.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, sk_c4)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c4))))),
% 8.41/8.58 inference(quant_inst,[status(thm)],[])).
% 8.41/8.58 tff(208,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, sk_c4)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[207, 21])).
% 8.41/8.58 tff(209,plain,
% 8.41/8.58 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[106])).
% 8.41/8.58 tff(210,plain,
% 8.41/8.58 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = sk_c5),
% 8.41/8.58 inference(transitivity,[status(thm)],[209, 208, 206, 200, 197, 195, 192, 191, 102, 84, 75, 72, 100, 81, 78, 23, 14, 3])).
% 8.41/8.58 tff(211,plain,
% 8.41/8.58 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4)) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[210])).
% 8.41/8.58 tff(212,plain,
% 8.41/8.58 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(symmetry,[status(thm)],[211])).
% 8.41/8.58 tff(213,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, sk_c4)) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(symmetry,[status(thm)],[209])).
% 8.41/8.58 tff(214,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(symmetry,[status(thm)],[208])).
% 8.41/8.58 tff(215,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(symmetry,[status(thm)],[206])).
% 8.41/8.58 tff(216,plain,
% 8.41/8.58 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(symmetry,[status(thm)],[197])).
% 8.41/8.58 tff(217,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(multiply(identity, sk_c6), multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(symmetry,[status(thm)],[192])).
% 8.41/8.58 tff(218,plain,
% 8.41/8.58 (sk_c5 = multiply(sk_c4, multiply(sk_c3, sk_c4))),
% 8.41/8.58 inference(transitivity,[status(thm)],[106, 13, 105, 77, 80, 99, 71, 74, 104, 103, 190, 217, 194, 216, 199, 215, 214, 213, 212, 188, 186, 184, 182, 175, 172, 170, 167, 165, 163, 160, 158])).
% 8.41/8.58 tff(219,plain,
% 8.41/8.58 (multiply(sk_c3, sk_c6) = multiply(sk_c7, sk_c3)),
% 8.41/8.58 inference(transitivity,[status(thm)],[126, 125, 117, 114])).
% 8.41/8.58 tff(220,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), sk_c5) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[219, 218])).
% 8.41/8.58 tff(221,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), sk_c5) = sk_c6),
% 8.41/8.58 inference(transitivity,[status(thm)],[220, 156, 154, 150, 147, 145, 142, 138, 136, 134, 123, 120, 112, 109, 108, 41, 75, 72, 100, 81, 78, 82, 53])).
% 8.41/8.58 tff(222,plain,
% 8.41/8.58 (multiply(sk_c7, sk_c5) = sk_c6),
% 8.41/8.58 inference(modus_ponens,[status(thm)],[221, 133])).
% 8.41/8.58 tff(223,plain,
% 8.41/8.58 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[9])).
% 8.41/8.58 tff(224,plain,
% 8.41/8.58 ((multiply(sk_c7, sk_c6) = sk_c7) <=> (multiply(multiply(sk_c3, sk_c6), sk_c6) = sk_c7)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[223])).
% 8.41/8.58 tff(225,plain,
% 8.41/8.58 ((multiply(multiply(sk_c3, sk_c6), sk_c6) = sk_c7) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 8.41/8.58 inference(symmetry,[status(thm)],[224])).
% 8.41/8.58 tff(226,plain,
% 8.41/8.58 (sk_c7 = sk_c6),
% 8.41/8.58 inference(transitivity,[status(thm)],[9, 126, 125, 123, 120, 112, 109, 108, 41, 75, 72, 100, 81, 78, 82, 53])).
% 8.41/8.58 tff(227,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c5)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[55])).
% 8.41/8.58 tff(228,plain,
% 8.41/8.58 ((multiply(multiply(sk_c3, sk_c6), sk_c6) = sk_c7) <=> (multiply(multiply(sk_c3, sk_c6), sk_c5) = sk_c6)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[227, 226])).
% 8.41/8.58 tff(229,plain,
% 8.41/8.58 ((multiply(multiply(sk_c3, sk_c6), sk_c5) = sk_c6) <=> (multiply(multiply(sk_c3, sk_c6), sk_c6) = sk_c7)),
% 8.41/8.58 inference(symmetry,[status(thm)],[228])).
% 8.41/8.58 tff(230,plain,
% 8.41/8.58 ((multiply(multiply(sk_c3, sk_c6), sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c6) = sk_c7)),
% 8.41/8.58 inference(transitivity,[status(thm)],[229, 225])).
% 8.41/8.58 tff(231,plain,
% 8.41/8.58 (multiply(sk_c7, sk_c6) = sk_c7),
% 8.41/8.58 inference(modus_ponens,[status(thm)],[221, 230])).
% 8.41/8.58 tff(232,assumption,(multiply(sk_c3, sk_c6) = sk_c7), introduced(assumption)).
% 8.41/8.58 tff(233,plain,
% 8.41/8.58 (sk_c7 = multiply(sk_c3, sk_c6)),
% 8.41/8.58 inference(symmetry,[status(thm)],[232])).
% 8.41/8.58 tff(234,plain,
% 8.41/8.58 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[233])).
% 8.41/8.58 tff(235,plain,
% 8.41/8.58 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 8.41/8.58 inference(symmetry,[status(thm)],[234])).
% 8.41/8.58 tff(236,assumption,(inverse(sk_c3) = sk_c6), introduced(assumption)).
% 8.41/8.58 tff(237,plain,
% 8.41/8.58 (sk_c6 = inverse(sk_c3)),
% 8.41/8.58 inference(symmetry,[status(thm)],[236])).
% 8.41/8.58 tff(238,plain,
% 8.41/8.58 (multiply(sk_c6, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[237])).
% 8.41/8.58 tff(239,plain,
% 8.41/8.58 (multiply(sk_c6, sk_c3) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)),
% 8.41/8.58 inference(transitivity,[status(thm)],[238, 41, 75, 72])).
% 8.41/8.58 tff(240,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[239])).
% 8.41/8.58 tff(241,plain,
% 8.41/8.58 (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.41/8.58 inference(symmetry,[status(thm)],[240])).
% 8.41/8.58 tff(242,plain,
% 8.41/8.58 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c6, sk_c3)),
% 8.41/8.58 inference(symmetry,[status(thm)],[238])).
% 8.41/8.58 tff(243,plain,
% 8.41/8.58 (identity = multiply(sk_c6, sk_c3)),
% 8.41/8.58 inference(transitivity,[status(thm)],[42, 242])).
% 8.41/8.58 tff(244,plain,
% 8.41/8.58 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[243])).
% 8.41/8.58 tff(245,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 8.41/8.58 inference(symmetry,[status(thm)],[244])).
% 8.41/8.58 tff(246,assumption,(inverse(sk_c4) = sk_c5), introduced(assumption)).
% 8.41/8.58 tff(247,plain,
% 8.41/8.58 (sk_c5 = inverse(sk_c4)),
% 8.41/8.58 inference(symmetry,[status(thm)],[246])).
% 8.41/8.58 tff(248,plain,
% 8.41/8.58 (multiply(sk_c5, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[247])).
% 8.41/8.58 tff(249,plain,
% 8.41/8.58 (multiply(sk_c5, sk_c4) = multiply(sk_c6, sk_c3)),
% 8.41/8.58 inference(transitivity,[status(thm)],[248, 84, 42, 242])).
% 8.41/8.58 tff(250,plain,
% 8.41/8.58 (multiply(multiply(sk_c5, sk_c4), sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[249])).
% 8.41/8.58 tff(251,assumption,(multiply(sk_c4, sk_c6) = sk_c5), introduced(assumption)).
% 8.41/8.58 tff(252,plain,
% 8.41/8.58 (sk_c5 = multiply(sk_c4, sk_c6)),
% 8.41/8.58 inference(symmetry,[status(thm)],[251])).
% 8.41/8.58 tff(253,plain,
% 8.41/8.58 (sk_c6 = multiply(sk_c4, sk_c6)),
% 8.41/8.58 inference(transitivity,[status(thm)],[54, 244, 23, 235, 3, 252])).
% 8.41/8.58 tff(254,plain,
% 8.41/8.58 (sk_c6 = sk_c5),
% 8.41/8.58 inference(transitivity,[status(thm)],[54, 244, 23, 235, 3])).
% 8.41/8.58 tff(255,plain,
% 8.41/8.58 (multiply(sk_c6, sk_c6) = multiply(sk_c5, multiply(sk_c4, sk_c6))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[254, 253])).
% 8.41/8.58 tff(256,plain,
% 8.41/8.58 (multiply(sk_c6, sk_c6) = sk_c6),
% 8.41/8.58 inference(transitivity,[status(thm)],[255, 90, 250, 245, 53])).
% 8.41/8.58 tff(257,plain,
% 8.41/8.58 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[256])).
% 8.41/8.58 tff(258,plain,
% 8.41/8.58 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6))),
% 8.41/8.58 inference(symmetry,[status(thm)],[257])).
% 8.41/8.58 tff(259,plain,
% 8.41/8.58 (sk_c5 = inverse(sk_c3)),
% 8.41/8.58 inference(transitivity,[status(thm)],[106, 234, 105, 245, 53, 237])).
% 8.41/8.58 tff(260,plain,
% 8.41/8.58 (multiply(sk_c5, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[259])).
% 8.41/8.58 tff(261,plain,
% 8.41/8.58 (multiply(sk_c7, sk_c3) = multiply(multiply(sk_c3, sk_c6), sk_c3)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[233])).
% 8.41/8.58 tff(262,plain,
% 8.41/8.58 (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c7, sk_c3)),
% 8.41/8.58 inference(symmetry,[status(thm)],[261])).
% 8.41/8.58 tff(263,plain,
% 8.41/8.58 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(sk_c7, sk_c3)),
% 8.41/8.58 inference(transitivity,[status(thm)],[117, 262])).
% 8.41/8.58 tff(264,plain,
% 8.41/8.58 (identity = sk_c6),
% 8.41/8.58 inference(transitivity,[status(thm)],[75, 72, 258, 81, 241, 245, 53])).
% 8.41/8.58 tff(265,plain,
% 8.41/8.58 (multiply(identity, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[264, 263])).
% 8.41/8.58 tff(266,plain,
% 8.41/8.58 (sk_c5 = multiply(sk_c6, sk_c3)),
% 8.41/8.58 inference(transitivity,[status(thm)],[106, 234, 105, 240, 80, 257, 71, 74, 42, 242])).
% 8.41/8.58 tff(267,plain,
% 8.41/8.58 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[266])).
% 8.41/8.58 tff(268,plain,
% 8.41/8.58 (multiply(sk_c3, sk_c6) = multiply(sk_c3, sk_c5)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[254])).
% 8.41/8.58 tff(269,plain,
% 8.41/8.58 (sk_c7 = sk_c5),
% 8.41/8.58 inference(transitivity,[status(thm)],[233, 268, 267, 123, 265, 112, 109, 260, 41, 75, 72, 258, 81, 241, 23, 235, 3])).
% 8.41/8.58 tff(270,plain,
% 8.41/8.58 ((inverse(multiply(sk_c3, sk_c6)) = sk_c7) <=> (inverse(multiply(sk_c3, sk_c6)) = sk_c5)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[269])).
% 8.41/8.58 tff(271,plain,
% 8.41/8.58 (inverse(sk_c7) = inverse(multiply(sk_c3, sk_c6))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[233])).
% 8.41/8.58 tff(272,plain,
% 8.41/8.58 ((inverse(sk_c7) = sk_c7) <=> (inverse(multiply(sk_c3, sk_c6)) = sk_c7)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[271])).
% 8.41/8.58 tff(273,plain,
% 8.41/8.58 ((inverse(sk_c7) = sk_c7) <=> (inverse(multiply(sk_c3, sk_c6)) = sk_c5)),
% 8.41/8.58 inference(transitivity,[status(thm)],[272, 270])).
% 8.41/8.58 tff(274,plain,
% 8.41/8.58 ((~(inverse(sk_c7) = sk_c7)) <=> (~(inverse(multiply(sk_c3, sk_c6)) = sk_c5))),
% 8.41/8.58 inference(monotonicity,[status(thm)],[273])).
% 8.41/8.58 tff(275,assumption,(~(inverse(sk_c7) = sk_c7)), introduced(assumption)).
% 8.41/8.58 tff(276,plain,
% 8.41/8.58 (~(inverse(multiply(sk_c3, sk_c6)) = sk_c5)),
% 8.41/8.58 inference(modus_ponens,[status(thm)],[275, 274])).
% 8.41/8.58 tff(277,plain,
% 8.41/8.58 (multiply(identity, sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[243])).
% 8.41/8.58 tff(278,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(identity, sk_c4)),
% 8.41/8.58 inference(symmetry,[status(thm)],[277])).
% 8.41/8.58 tff(279,plain,
% 8.41/8.58 (multiply(sk_c6, sk_c3) = inverse(sk_c4)),
% 8.41/8.58 inference(transitivity,[status(thm)],[238, 41, 75, 72, 258, 81, 241, 23, 235, 3, 247])).
% 8.41/8.58 tff(280,plain,
% 8.41/8.58 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[279])).
% 8.41/8.58 tff(281,plain,
% 8.41/8.58 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.41/8.58 inference(symmetry,[status(thm)],[280])).
% 8.41/8.58 tff(282,plain,
% 8.41/8.58 (multiply(sk_c3, sk_c6) = sk_c4),
% 8.41/8.58 inference(transitivity,[status(thm)],[268, 267, 123, 265, 112, 109, 260, 41, 104, 281, 278, 66])).
% 8.41/8.58 tff(283,plain,
% 8.41/8.58 (inverse(multiply(sk_c3, sk_c6)) = inverse(sk_c4)),
% 8.41/8.58 inference(monotonicity,[status(thm)],[282])).
% 8.41/8.58 tff(284,plain,
% 8.41/8.58 (inverse(multiply(sk_c3, sk_c6)) = sk_c5),
% 8.41/8.58 inference(transitivity,[status(thm)],[283, 246])).
% 8.41/8.58 tff(285,plain,
% 8.41/8.58 ($false),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[284, 276])).
% 8.41/8.58 tff(286,plain,((inverse(sk_c7) = sk_c7) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c4, sk_c6) = sk_c5))), inference(lemma,lemma(discharge,[]))).
% 8.41/8.58 tff(287,plain,
% 8.41/8.58 (inverse(sk_c7) = sk_c7),
% 8.41/8.58 inference(unit_resolution,[status(thm)],[286, 8, 64, 29, 94])).
% 8.41/8.58 tff(288,plain,
% 8.41/8.58 (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))),
% 8.41/8.58 inference(bind,[status(th)],[])).
% 8.41/8.58 tff(289,plain,
% 8.41/8.58 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 8.41/8.58 inference(quant_intro,[status(thm)],[288])).
% 8.41/8.58 tff(290,plain,
% 8.41/8.58 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 8.41/8.58 inference(rewrite,[status(thm)],[])).
% 8.41/8.58 tff(291,plain,
% 8.41/8.58 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)))), ((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), ((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), (((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X4) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), (((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), ((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), ((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), (((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), (((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), ((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X1) = sk_c6))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X1) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), ((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) | (~(inverse(X2) = sk_c5))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X2) = sk_c5))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(inverse(X2) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) | (~(inverse(X2) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))))), ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) | (~(inverse(X2) = sk_c5))) | (~(multiply(X2, sk_c6) = sk_c5))) <=> (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))))), rewrite((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X2, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))), ((((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) | (~(inverse(X2) = sk_c5))) | (~(multiply(X2, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))))),
% 8.41/8.59 inference(bind,[status(th)],[])).
% 8.41/8.59 tff(292,plain,
% 8.41/8.59 (![X4: $i, X3: $i, X2: $i, X1: $i] : (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) | (~(inverse(X2) = sk_c5))) | (~(multiply(X2, sk_c6) = sk_c5))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 8.41/8.59 inference(quant_intro,[status(thm)],[291])).
% 8.41/8.59 tff(293,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (((((((((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7))) | (~(multiply(X3, sk_c6) = sk_c7))) | (~(inverse(X4) = sk_c6))) | (~(multiply(X4, sk_c5) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X1) = sk_c6))) | (~(inverse(X2) = sk_c5))) | (~(multiply(X2, sk_c6) = sk_c5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 8.41/8.59 tff(294,plain,
% 8.41/8.59 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 8.41/8.59 inference(modus_ponens,[status(thm)],[293, 292])).
% 8.41/8.59 tff(295,plain,
% 8.41/8.59 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 8.41/8.59 inference(modus_ponens,[status(thm)],[294, 290])).
% 8.41/8.59 tff(296,plain,(
% 8.41/8.59 ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 8.41/8.59 inference(skolemize,[status(sab)],[295])).
% 8.41/8.59 tff(297,plain,
% 8.41/8.59 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 8.41/8.59 inference(modus_ponens,[status(thm)],[296, 289])).
% 8.41/8.59 tff(298,plain,
% 8.41/8.59 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))),
% 8.41/8.59 inference(rewrite,[status(thm)],[])).
% 8.41/8.59 tff(299,plain,
% 8.41/8.59 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))),
% 8.41/8.59 inference(rewrite,[status(thm)],[])).
% 8.41/8.59 tff(300,plain,
% 8.41/8.59 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7))))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[299])).
% 8.41/8.59 tff(301,plain,
% 8.41/8.59 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))),
% 8.41/8.59 inference(transitivity,[status(thm)],[300, 298])).
% 8.41/8.59 tff(302,plain,
% 8.41/8.59 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(303,plain,
% 8.41/8.59 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c6) = sk_c5)) | (~(inverse(sk_c4) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7))),
% 8.41/8.59 inference(modus_ponens,[status(thm)],[302, 301])).
% 8.41/8.59 tff(304,plain,
% 8.41/8.59 ((~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c7))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[303, 3, 8, 29, 64, 94, 297])).
% 8.41/8.59 tff(305,plain,
% 8.41/8.59 (~(inverse(sk_c7) = sk_c6)),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[304, 287, 231, 222])).
% 8.41/8.59 tff(306,plain,
% 8.41/8.59 ($false),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[305, 130])).
% 8.41/8.59 tff(307,plain,(multiply(sk_c1, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 8.41/8.59 tff(308,plain,
% 8.41/8.59 (sk_c7 = multiply(sk_c1, sk_c6)),
% 8.41/8.59 inference(symmetry,[status(thm)],[307])).
% 8.41/8.59 tff(309,plain,
% 8.41/8.59 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[308])).
% 8.41/8.59 tff(310,plain,
% 8.41/8.59 (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 8.41/8.59 inference(symmetry,[status(thm)],[309])).
% 8.41/8.59 tff(311,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c6)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(312,plain,
% 8.41/8.59 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[311, 21])).
% 8.41/8.59 tff(313,plain,
% 8.41/8.59 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(multiply(sk_c6, sk_c1), multiply(identity, sk_c6))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[54])).
% 8.41/8.59 tff(314,plain,
% 8.41/8.59 (multiply(multiply(sk_c6, sk_c1), multiply(identity, sk_c6)) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 8.41/8.59 inference(symmetry,[status(thm)],[313])).
% 8.41/8.59 tff(315,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c1), identity), sk_c6) = multiply(multiply(sk_c6, sk_c1), multiply(identity, sk_c6)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(316,plain,
% 8.41/8.59 (multiply(multiply(multiply(sk_c6, sk_c1), identity), sk_c6) = multiply(multiply(sk_c6, sk_c1), multiply(identity, sk_c6))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[315, 21])).
% 8.41/8.59 tff(317,plain,
% 8.41/8.59 (multiply(sk_c5, sk_c3) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 8.41/8.59 inference(symmetry,[status(thm)],[109])).
% 8.41/8.59 tff(318,plain,
% 8.41/8.59 (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 8.41/8.59 inference(symmetry,[status(thm)],[312])).
% 8.41/8.59 tff(319,plain,
% 8.41/8.59 (sk_c5 = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 8.41/8.59 inference(transitivity,[status(thm)],[106, 309, 318])).
% 8.41/8.59 tff(320,plain,
% 8.41/8.59 (multiply(sk_c5, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c1), sk_c6), sk_c3)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[319])).
% 8.41/8.59 tff(321,plain,
% 8.41/8.59 (multiply(multiply(multiply(sk_c6, sk_c1), sk_c6), sk_c3) = multiply(sk_c5, sk_c3)),
% 8.41/8.59 inference(symmetry,[status(thm)],[320])).
% 8.41/8.59 tff(322,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c1), sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(323,plain,
% 8.41/8.59 (multiply(multiply(multiply(sk_c6, sk_c1), sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[322, 21])).
% 8.41/8.59 tff(324,plain,
% 8.41/8.59 (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c6, sk_c1), sk_c6), sk_c3)),
% 8.41/8.59 inference(symmetry,[status(thm)],[323])).
% 8.41/8.59 tff(325,assumption,(~(inverse(sk_c3) = sk_c6)), introduced(assumption)).
% 8.41/8.59 tff(326,plain,
% 8.41/8.59 (((inverse(sk_c3) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c6)) <=> ((inverse(sk_c3) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c6))),
% 8.41/8.59 inference(rewrite,[status(thm)],[])).
% 8.41/8.59 tff(327,plain,
% 8.41/8.59 (((multiply(sk_c2, sk_c5) = sk_c6) | (inverse(sk_c3) = sk_c6)) <=> ((inverse(sk_c3) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c6))),
% 8.41/8.59 inference(rewrite,[status(thm)],[])).
% 8.41/8.59 tff(328,axiom,((multiply(sk_c2, sk_c5) = sk_c6) | (inverse(sk_c3) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 8.41/8.59 tff(329,plain,
% 8.41/8.59 ((inverse(sk_c3) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c6)),
% 8.41/8.59 inference(modus_ponens,[status(thm)],[328, 327])).
% 8.41/8.59 tff(330,plain,
% 8.41/8.59 ((inverse(sk_c3) = sk_c6) | (multiply(sk_c2, sk_c5) = sk_c6)),
% 8.41/8.59 inference(modus_ponens,[status(thm)],[329, 326])).
% 8.41/8.59 tff(331,plain,
% 8.41/8.59 (multiply(sk_c2, sk_c5) = sk_c6),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[330, 325])).
% 8.41/8.59 tff(332,plain,
% 8.41/8.59 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[106])).
% 8.41/8.59 tff(333,plain,
% 8.41/8.59 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(sk_c2, sk_c5)),
% 8.41/8.59 inference(symmetry,[status(thm)],[332])).
% 8.41/8.59 tff(334,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(335,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[334, 21])).
% 8.41/8.59 tff(336,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c6), sk_c7) = sk_c6),
% 8.41/8.59 inference(transitivity,[status(thm)],[335, 333, 331])).
% 8.41/8.59 tff(337,plain,
% 8.41/8.59 (multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[336])).
% 8.41/8.59 tff(338,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c7)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(339,plain,
% 8.41/8.59 (multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c7))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[338, 21])).
% 8.41/8.59 tff(340,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c7)),
% 8.41/8.59 inference(symmetry,[status(thm)],[339])).
% 8.41/8.59 tff(341,plain,
% 8.41/8.59 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c6))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[308])).
% 8.41/8.59 tff(342,plain,
% 8.41/8.59 (multiply(sk_c7, multiply(sk_c1, sk_c6)) = multiply(sk_c7, sk_c7)),
% 8.41/8.59 inference(symmetry,[status(thm)],[341])).
% 8.41/8.59 tff(343,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c6)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(344,plain,
% 8.41/8.59 (multiply(multiply(sk_c7, sk_c1), sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c6))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[343, 21])).
% 8.41/8.59 tff(345,plain,
% 8.41/8.59 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(346,plain,
% 8.41/8.59 (multiply(inverse(sk_c1), sk_c1) = identity),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[345, 39])).
% 8.41/8.59 tff(347,plain,
% 8.41/8.59 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c6))),
% 8.41/8.59 inference(rewrite,[status(thm)],[])).
% 8.41/8.59 tff(348,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 8.41/8.59 tff(349,plain,
% 8.41/8.59 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c6)),
% 8.41/8.59 inference(modus_ponens,[status(thm)],[348, 347])).
% 8.41/8.59 tff(350,plain,
% 8.41/8.59 (inverse(sk_c1) = sk_c7),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[349, 325])).
% 8.41/8.59 tff(351,plain,
% 8.41/8.59 (sk_c7 = inverse(sk_c1)),
% 8.41/8.59 inference(symmetry,[status(thm)],[350])).
% 8.41/8.59 tff(352,plain,
% 8.41/8.59 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[351])).
% 8.41/8.59 tff(353,plain,
% 8.41/8.59 (multiply(sk_c7, sk_c1) = identity),
% 8.41/8.59 inference(transitivity,[status(thm)],[352, 346])).
% 8.41/8.59 tff(354,plain,
% 8.41/8.59 (multiply(multiply(sk_c7, sk_c1), sk_c6) = multiply(identity, sk_c6)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[353])).
% 8.41/8.59 tff(355,plain,
% 8.41/8.59 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c1), sk_c6)),
% 8.41/8.59 inference(symmetry,[status(thm)],[354])).
% 8.41/8.59 tff(356,plain,
% 8.41/8.59 (sk_c6 = multiply(sk_c7, sk_c7)),
% 8.41/8.59 inference(transitivity,[status(thm)],[54, 355, 344, 342])).
% 8.41/8.59 tff(357,plain,
% 8.41/8.59 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)) = multiply(sk_c2, sk_c6)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[336])).
% 8.41/8.59 tff(358,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), sk_c6) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c7))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[357, 356])).
% 8.41/8.59 tff(359,plain,
% 8.41/8.59 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))),
% 8.41/8.59 inference(symmetry,[status(thm)],[357])).
% 8.41/8.59 tff(360,plain,
% 8.41/8.59 (sk_c6 = multiply(sk_c2, sk_c5)),
% 8.41/8.59 inference(symmetry,[status(thm)],[331])).
% 8.41/8.59 tff(361,plain,
% 8.41/8.59 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c2, sk_c5))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[360])).
% 8.41/8.59 tff(362,plain,
% 8.41/8.59 (multiply(sk_c2, multiply(sk_c2, sk_c5)) = multiply(sk_c2, sk_c6)),
% 8.41/8.59 inference(symmetry,[status(thm)],[361])).
% 8.41/8.59 tff(363,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), sk_c5) = multiply(sk_c2, multiply(sk_c2, sk_c5)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(364,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c2), sk_c5) = multiply(sk_c2, multiply(sk_c2, sk_c5))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[363, 21])).
% 8.41/8.59 tff(365,plain,
% 8.41/8.59 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c2, sk_c5), sk_c1)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[360])).
% 8.41/8.59 tff(366,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c5), sk_c1) = multiply(sk_c6, sk_c1)),
% 8.41/8.59 inference(symmetry,[status(thm)],[365])).
% 8.41/8.59 tff(367,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c5), sk_c1) = multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(368,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c5), sk_c1) = multiply(sk_c2, multiply(sk_c5, sk_c1))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[367, 21])).
% 8.41/8.59 tff(369,plain,
% 8.41/8.59 (multiply(sk_c2, multiply(sk_c5, sk_c1)) = multiply(multiply(sk_c2, sk_c5), sk_c1)),
% 8.41/8.59 inference(symmetry,[status(thm)],[368])).
% 8.41/8.59 tff(370,plain,
% 8.41/8.59 (multiply(sk_c2, multiply(sk_c5, sk_c1)) = multiply(sk_c6, sk_c1)),
% 8.41/8.59 inference(transitivity,[status(thm)],[369, 366])).
% 8.41/8.59 tff(371,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[370])).
% 8.41/8.59 tff(372,plain,
% 8.41/8.59 (multiply(multiply(sk_c6, sk_c1), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6)),
% 8.41/8.59 inference(symmetry,[status(thm)],[371])).
% 8.41/8.59 tff(373,plain,
% 8.41/8.59 (multiply(sk_c6, multiply(sk_c1, sk_c6)) = multiply(sk_c6, sk_c7)),
% 8.41/8.59 inference(monotonicity,[status(thm)],[307])).
% 8.41/8.59 tff(374,plain,
% 8.41/8.59 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c6))),
% 8.41/8.59 inference(symmetry,[status(thm)],[373])).
% 8.41/8.59 tff(375,plain,
% 8.41/8.59 (sk_c5 = multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6)),
% 8.41/8.59 inference(transitivity,[status(thm)],[106, 374, 318, 372])).
% 8.41/8.59 tff(376,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c2), sk_c5) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6))),
% 8.41/8.59 inference(monotonicity,[status(thm)],[375])).
% 8.41/8.59 tff(377,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6)) = multiply(multiply(sk_c2, sk_c2), sk_c5)),
% 8.41/8.59 inference(symmetry,[status(thm)],[376])).
% 8.41/8.59 tff(378,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))), sk_c6) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6)))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(379,plain,
% 8.41/8.59 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))), sk_c6) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[378, 21])).
% 8.41/8.59 tff(380,plain,
% 8.41/8.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))))),
% 8.41/8.59 inference(quant_inst,[status(thm)],[])).
% 8.41/8.59 tff(381,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1))))),
% 8.41/8.59 inference(unit_resolution,[status(thm)],[380, 21])).
% 8.41/8.59 tff(382,plain,
% 8.41/8.59 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.59 inference(symmetry,[status(thm)],[381])).
% 8.41/8.59 tff(383,plain,
% 8.41/8.59 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))), sk_c6)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[382])).
% 8.41/8.60 tff(384,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))),
% 8.41/8.60 inference(transitivity,[status(thm)],[383, 379, 377, 364, 362, 359])).
% 8.41/8.60 tff(385,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), sk_c6) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), sk_c6)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[384])).
% 8.41/8.60 tff(386,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, sk_c6)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(387,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, sk_c6))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[386, 21])).
% 8.41/8.60 tff(388,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), sk_c6)),
% 8.41/8.60 inference(symmetry,[status(thm)],[387])).
% 8.41/8.60 tff(389,plain,
% 8.41/8.60 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[360])).
% 8.41/8.60 tff(390,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(sk_c6, sk_c6)),
% 8.41/8.60 inference(symmetry,[status(thm)],[389])).
% 8.41/8.60 tff(391,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c5) = multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(392,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c2), sk_c5) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[391, 21])).
% 8.41/8.60 tff(393,plain,
% 8.41/8.60 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(394,plain,
% 8.41/8.60 (multiply(inverse(sk_c2), sk_c2) = identity),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[393, 39])).
% 8.41/8.60 tff(395,plain,
% 8.41/8.60 (((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c6))),
% 8.41/8.60 inference(rewrite,[status(thm)],[])).
% 8.41/8.60 tff(396,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 8.41/8.60 tff(397,plain,
% 8.41/8.60 ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c6)),
% 8.41/8.60 inference(modus_ponens,[status(thm)],[396, 395])).
% 8.41/8.60 tff(398,plain,
% 8.41/8.60 (inverse(sk_c2) = sk_c6),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[397, 325])).
% 8.41/8.60 tff(399,plain,
% 8.41/8.60 (sk_c6 = inverse(sk_c2)),
% 8.41/8.60 inference(symmetry,[status(thm)],[398])).
% 8.41/8.60 tff(400,plain,
% 8.41/8.60 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[399])).
% 8.41/8.60 tff(401,plain,
% 8.41/8.60 (multiply(sk_c6, sk_c2) = identity),
% 8.41/8.60 inference(transitivity,[status(thm)],[400, 394])).
% 8.41/8.60 tff(402,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c2), sk_c5) = multiply(identity, sk_c5)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[401])).
% 8.41/8.60 tff(403,plain,
% 8.41/8.60 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c2), sk_c5)),
% 8.41/8.60 inference(symmetry,[status(thm)],[402])).
% 8.41/8.60 tff(404,plain,
% 8.41/8.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(405,plain,
% 8.41/8.60 (multiply(identity, sk_c5) = sk_c5),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[404, 51])).
% 8.41/8.60 tff(406,plain,
% 8.41/8.60 (sk_c5 = multiply(identity, sk_c5)),
% 8.41/8.60 inference(symmetry,[status(thm)],[405])).
% 8.41/8.60 tff(407,plain,
% 8.41/8.60 (sk_c5 = multiply(sk_c6, sk_c6)),
% 8.41/8.60 inference(transitivity,[status(thm)],[406, 403, 392, 390])).
% 8.41/8.60 tff(408,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))), sk_c5) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, sk_c6))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[381, 407])).
% 8.41/8.60 tff(409,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(sk_c2, multiply(sk_c6, sk_c1))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[370])).
% 8.41/8.60 tff(410,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c6, sk_c1)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[409])).
% 8.41/8.60 tff(411,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1))))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[410])).
% 8.41/8.60 tff(412,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.60 inference(transitivity,[status(thm)],[411, 382])).
% 8.41/8.60 tff(413,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))), sk_c5)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[412, 3])).
% 8.41/8.60 tff(414,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), sk_c6), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(sk_c6, sk_c7)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(415,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), sk_c6), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(sk_c6, sk_c7))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[414, 21])).
% 8.41/8.60 tff(416,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(417,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[416, 21])).
% 8.41/8.60 tff(418,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), sk_c6)),
% 8.41/8.60 inference(symmetry,[status(thm)],[417])).
% 8.41/8.60 tff(419,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c1), sk_c6) = sk_c5),
% 8.41/8.60 inference(transitivity,[status(thm)],[312, 373, 3])).
% 8.41/8.60 tff(420,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(multiply(sk_c6, sk_c1), sk_c6)) = multiply(sk_c2, sk_c5)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[419])).
% 8.41/8.60 tff(421,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c6, sk_c1), sk_c6)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(422,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c6, sk_c1), sk_c6))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[421, 21])).
% 8.41/8.60 tff(423,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6) = sk_c6),
% 8.41/8.60 inference(transitivity,[status(thm)],[422, 420, 331])).
% 8.41/8.60 tff(424,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6)) = multiply(sk_c2, sk_c6)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[423])).
% 8.41/8.60 tff(425,plain,
% 8.41/8.60 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6))),
% 8.41/8.60 inference(symmetry,[status(thm)],[424])).
% 8.41/8.60 tff(426,plain,
% 8.41/8.60 (multiply(sk_c2, sk_c6) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), sk_c6)),
% 8.41/8.60 inference(transitivity,[status(thm)],[425, 418])).
% 8.41/8.60 tff(427,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c6, sk_c1))), sk_c6), sk_c7)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[426])).
% 8.41/8.60 tff(428,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 8.41/8.60 inference(symmetry,[status(thm)],[335])).
% 8.41/8.60 tff(429,plain,
% 8.41/8.60 (inverse(sk_c2) = sk_c5),
% 8.41/8.60 inference(transitivity,[status(thm)],[398, 360, 332, 428, 427, 415, 413, 408, 388, 385, 358, 340, 337, 3])).
% 8.41/8.60 tff(430,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(identity, sk_c6)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[401])).
% 8.41/8.60 tff(431,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(432,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[431, 21])).
% 8.41/8.60 tff(433,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 8.41/8.60 inference(symmetry,[status(thm)],[432])).
% 8.41/8.60 tff(434,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[357])).
% 8.41/8.60 tff(435,plain,
% 8.41/8.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(436,plain,
% 8.41/8.60 (multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[435, 51])).
% 8.41/8.60 tff(437,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))) = multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[436])).
% 8.41/8.60 tff(438,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(sk_c6, multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(439,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(sk_c6, multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[438, 21])).
% 8.41/8.60 tff(440,plain,
% 8.41/8.60 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 8.41/8.60 inference(symmetry,[status(thm)],[352])).
% 8.41/8.60 tff(441,plain,
% 8.41/8.60 (identity = multiply(inverse(sk_c1), sk_c1)),
% 8.41/8.60 inference(symmetry,[status(thm)],[346])).
% 8.41/8.60 tff(442,plain,
% 8.41/8.60 (identity = multiply(sk_c7, sk_c1)),
% 8.41/8.60 inference(transitivity,[status(thm)],[441, 440])).
% 8.41/8.60 tff(443,plain,
% 8.41/8.60 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[442])).
% 8.41/8.60 tff(444,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c7, sk_c1)) = multiply(sk_c6, identity)),
% 8.41/8.60 inference(symmetry,[status(thm)],[443])).
% 8.41/8.60 tff(445,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c6, multiply(sk_c7, sk_c1)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(446,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[445, 21])).
% 8.41/8.60 tff(447,plain,
% 8.41/8.60 (multiply(sk_c5, sk_c1) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[106])).
% 8.41/8.60 tff(448,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c1), multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c6, sk_c1), sk_c6)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[331])).
% 8.41/8.60 tff(449,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c2, sk_c5)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(450,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c2, sk_c5))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[449, 21])).
% 8.41/8.60 tff(451,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5) = sk_c5),
% 8.41/8.60 inference(transitivity,[status(thm)],[450, 448, 312, 373, 3])).
% 8.41/8.60 tff(452,plain,
% 8.41/8.60 (multiply(multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5), sk_c1) = multiply(sk_c5, sk_c1)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[451])).
% 8.41/8.60 tff(453,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5), sk_c1) = multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), multiply(sk_c5, sk_c1)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(454,plain,
% 8.41/8.60 (multiply(multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5), sk_c1) = multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), multiply(sk_c5, sk_c1))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[453, 21])).
% 8.41/8.60 tff(455,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), multiply(sk_c5, sk_c1)) = multiply(multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5), sk_c1)),
% 8.41/8.60 inference(symmetry,[status(thm)],[454])).
% 8.41/8.60 tff(456,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), multiply(sk_c5, sk_c1)) = multiply(sk_c6, identity)),
% 8.41/8.60 inference(transitivity,[status(thm)],[455, 452, 447, 446, 444])).
% 8.41/8.60 tff(457,plain,
% 8.41/8.60 (multiply(multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), multiply(sk_c5, sk_c1)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c6, identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[456])).
% 8.41/8.60 tff(458,plain,
% 8.41/8.60 (multiply(sk_c5, sk_c1) = multiply(multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), sk_c5), sk_c1)),
% 8.41/8.60 inference(symmetry,[status(thm)],[452])).
% 8.41/8.60 tff(459,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c7), sk_c1) = multiply(sk_c5, sk_c1)),
% 8.41/8.60 inference(symmetry,[status(thm)],[447])).
% 8.41/8.60 tff(460,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c6, sk_c7), sk_c1)),
% 8.41/8.60 inference(symmetry,[status(thm)],[446])).
% 8.41/8.60 tff(461,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6) = inverse(sk_c2)),
% 8.41/8.60 inference(transitivity,[status(thm)],[422, 420, 331, 399])).
% 8.41/8.60 tff(462,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[461])).
% 8.41/8.60 tff(463,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), multiply(sk_c6, sk_c2)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(464,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), multiply(sk_c6, sk_c2))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[463, 21])).
% 8.41/8.60 tff(465,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), sk_c6), sk_c2)),
% 8.41/8.60 inference(symmetry,[status(thm)],[464])).
% 8.41/8.60 tff(466,plain,
% 8.41/8.60 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.41/8.60 inference(symmetry,[status(thm)],[400])).
% 8.41/8.60 tff(467,plain,
% 8.41/8.60 (identity = multiply(inverse(sk_c2), sk_c2)),
% 8.41/8.60 inference(symmetry,[status(thm)],[394])).
% 8.41/8.60 tff(468,plain,
% 8.41/8.60 (identity = multiply(sk_c6, sk_c2)),
% 8.41/8.60 inference(transitivity,[status(thm)],[467, 466])).
% 8.41/8.60 tff(469,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), identity) = multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), multiply(sk_c6, sk_c2))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[468])).
% 8.41/8.60 tff(470,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), identity) = multiply(sk_c7, sk_c1)),
% 8.41/8.60 inference(transitivity,[status(thm)],[469, 465, 462, 394, 441, 440])).
% 8.41/8.60 tff(471,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), identity)) = multiply(sk_c6, multiply(sk_c7, sk_c1))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[470])).
% 8.41/8.60 tff(472,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), identity) = multiply(sk_c6, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), identity)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(473,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), identity) = multiply(sk_c6, multiply(multiply(sk_c2, multiply(sk_c6, sk_c1)), identity))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[472, 21])).
% 8.41/8.60 tff(474,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), identity) = multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), multiply(sk_c5, sk_c1))),
% 8.41/8.60 inference(transitivity,[status(thm)],[473, 471, 460, 459, 458, 454])).
% 8.41/8.60 tff(475,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(multiply(multiply(sk_c6, sk_c1), sk_c2), multiply(sk_c5, sk_c1)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[474])).
% 8.41/8.60 tff(476,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(477,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[476, 21])).
% 8.41/8.60 tff(478,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[477])).
% 8.41/8.60 tff(479,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)) = multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[436])).
% 8.41/8.60 tff(480,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[479])).
% 8.41/8.60 tff(481,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1))))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[410])).
% 8.41/8.60 tff(482,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[481])).
% 8.41/8.60 tff(483,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(484,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1))))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[483, 21])).
% 8.41/8.60 tff(485,plain,
% 8.41/8.60 (multiply(multiply(sk_c6, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(identity, multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[401])).
% 8.41/8.60 tff(486,plain,
% 8.41/8.60 (multiply(identity, multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(multiply(sk_c6, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[485])).
% 8.41/8.60 tff(487,plain,
% 8.41/8.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(488,plain,
% 8.41/8.60 (multiply(identity, multiply(sk_c2, multiply(sk_c5, sk_c1))) = multiply(sk_c2, multiply(sk_c5, sk_c1))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[487, 51])).
% 8.41/8.60 tff(489,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c5, sk_c1)) = multiply(identity, multiply(sk_c2, multiply(sk_c5, sk_c1)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[488])).
% 8.41/8.60 tff(490,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c5, sk_c1)) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1)))),
% 8.41/8.60 inference(transitivity,[status(thm)],[489, 486, 484, 482])).
% 8.41/8.60 tff(491,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, sk_c1))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[490, 359])).
% 8.41/8.60 tff(492,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c1) = multiply(sk_c6, sk_c1)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[336])).
% 8.41/8.60 tff(493,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c1) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c1)))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(494,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c1) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c1))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[493, 21])).
% 8.41/8.60 tff(495,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c1)) = multiply(multiply(multiply(sk_c2, sk_c6), sk_c7), sk_c1)),
% 8.41/8.60 inference(symmetry,[status(thm)],[494])).
% 8.41/8.60 tff(496,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), identity) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c7, sk_c1))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[357, 442])).
% 8.41/8.60 tff(497,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), identity) = multiply(sk_c2, multiply(sk_c5, sk_c1))),
% 8.41/8.60 inference(transitivity,[status(thm)],[496, 495, 492, 365, 368])).
% 8.41/8.60 tff(498,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), multiply(sk_c2, sk_c6))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[497, 357])).
% 8.41/8.60 tff(499,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(500,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[499, 21])).
% 8.41/8.60 tff(501,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), identity), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[500])).
% 8.41/8.60 tff(502,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[479])).
% 8.41/8.60 tff(503,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[384])).
% 8.41/8.60 tff(504,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))))),
% 8.41/8.60 inference(quant_inst,[status(thm)],[])).
% 8.41/8.60 tff(505,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))))),
% 8.41/8.60 inference(unit_resolution,[status(thm)],[504, 21])).
% 8.41/8.60 tff(506,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), sk_c6), multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[505])).
% 8.41/8.60 tff(507,plain,
% 8.41/8.60 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(symmetry,[status(thm)],[434])).
% 8.41/8.60 tff(508,plain,
% 8.41/8.60 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 8.41/8.60 inference(symmetry,[status(thm)],[430])).
% 8.41/8.60 tff(509,plain,
% 8.41/8.60 (sk_c6 = multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7)))),
% 8.41/8.60 inference(transitivity,[status(thm)],[54, 508, 432, 507])).
% 8.41/8.60 tff(510,plain,
% 8.41/8.60 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, multiply(sk_c5, sk_c1)))), multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c2, sk_c6), sk_c7))))),
% 8.41/8.60 inference(monotonicity,[status(thm)],[381, 509])).
% 8.41/8.60 tff(511,plain,
% 8.41/8.60 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c5, sk_c1)), sk_c6)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c5, sk_c1))), sk_c6)),
% 8.41/8.60 inference(symmetry,[status(thm)],[379])).
% 8.41/8.60 tff(512,plain,
% 8.41/8.60 (multiply(sk_c2, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c2, sk_c2), sk_c5)),
% 8.41/8.60 inference(symmetry,[status(thm)],[364])).
% 8.41/8.60 tff(513,plain,
% 8.41/8.60 (multiply(sk_c2, sk_c6) = sk_c5),
% 8.41/8.60 inference(transitivity,[status(thm)],[361, 512, 376, 511, 510, 506, 503, 502, 501, 498, 491, 480, 478, 475, 457, 439, 437, 434, 433, 430, 53, 360, 332, 428, 427, 415, 413, 408, 388, 385, 358, 340, 337, 3])).
% 8.41/8.60 tff(514,plain,
% 8.41/8.60 (multiply(sk_c7, multiply(sk_c1, sk_c6)) = multiply(multiply(sk_c7, sk_c1), sk_c6)),
% 8.41/8.60 inference(symmetry,[status(thm)],[344])).
% 8.41/8.60 tff(515,plain,
% 8.41/8.60 (multiply(multiply(sk_c1, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 8.41/8.60 inference(monotonicity,[status(thm)],[307])).
% 8.41/8.60 tff(516,plain,
% 8.41/8.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c6), sk_c7) = multiply(sk_c1, multiply(sk_c6, sk_c7)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(517,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, sk_c6), sk_c7) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[516, 21])).
% 8.41/8.61 tff(518,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c1, sk_c6), sk_c7)),
% 8.41/8.61 inference(symmetry,[status(thm)],[517])).
% 8.41/8.61 tff(519,plain,
% 8.41/8.61 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c6, sk_c7))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[106])).
% 8.41/8.61 tff(520,plain,
% 8.41/8.61 (multiply(sk_c1, sk_c5) = sk_c6),
% 8.41/8.61 inference(transitivity,[status(thm)],[519, 518, 515, 341, 514, 354, 53])).
% 8.41/8.61 tff(521,plain,
% 8.41/8.61 (sk_c6 = sk_c5),
% 8.41/8.61 inference(transitivity,[status(thm)],[360, 332, 428, 427, 415, 413, 408, 388, 385, 358, 340, 337, 3])).
% 8.41/8.61 tff(522,plain,
% 8.41/8.61 (inverse(sk_c1) = multiply(sk_c1, sk_c6)),
% 8.41/8.61 inference(transitivity,[status(thm)],[350, 308])).
% 8.41/8.61 tff(523,plain,
% 8.41/8.61 ((inverse(sk_c1) = sk_c6) <=> (multiply(sk_c1, sk_c6) = sk_c5)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[522, 521])).
% 8.41/8.61 tff(524,plain,
% 8.41/8.61 ((multiply(sk_c1, sk_c6) = sk_c5) <=> (inverse(sk_c1) = sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[523])).
% 8.41/8.61 tff(525,plain,
% 8.41/8.61 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(sk_c2, sk_c5))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[360])).
% 8.41/8.61 tff(526,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(sk_c2, sk_c5)) = multiply(sk_c1, sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[525])).
% 8.41/8.61 tff(527,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), sk_c5) = multiply(sk_c1, multiply(sk_c2, sk_c5)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(528,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, sk_c2), sk_c5) = multiply(sk_c1, multiply(sk_c2, sk_c5))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[527, 21])).
% 8.41/8.61 tff(529,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, sk_c2), sk_c5) = sk_c7),
% 8.41/8.61 inference(transitivity,[status(thm)],[528, 526, 307])).
% 8.41/8.61 tff(530,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c7) = multiply(sk_c7, sk_c7)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[529])).
% 8.41/8.61 tff(531,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c7)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(532,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c7))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[531, 21])).
% 8.41/8.61 tff(533,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c5), sk_c7)),
% 8.41/8.61 inference(symmetry,[status(thm)],[532])).
% 8.41/8.61 tff(534,plain,
% 8.41/8.61 (multiply(sk_c5, multiply(multiply(sk_c1, sk_c2), sk_c5)) = multiply(sk_c5, sk_c7)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[529])).
% 8.41/8.61 tff(535,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, multiply(multiply(sk_c1, sk_c2), sk_c5))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, sk_c7))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[534])).
% 8.41/8.61 tff(536,plain,
% 8.41/8.61 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(multiply(sk_c1, sk_c2), sk_c5))),
% 8.41/8.61 inference(symmetry,[status(thm)],[534])).
% 8.41/8.61 tff(537,plain,
% 8.41/8.61 (multiply(sk_c5, sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[106])).
% 8.41/8.61 tff(538,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c5, sk_c7)),
% 8.41/8.61 inference(symmetry,[status(thm)],[537])).
% 8.41/8.61 tff(539,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(540,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[539, 21])).
% 8.41/8.61 tff(541,plain,
% 8.41/8.61 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 8.41/8.61 inference(symmetry,[status(thm)],[540])).
% 8.41/8.61 tff(542,plain,
% 8.41/8.61 (multiply(sk_c7, sk_c7) = sk_c6),
% 8.41/8.61 inference(transitivity,[status(thm)],[341, 514, 354, 53])).
% 8.41/8.61 tff(543,plain,
% 8.41/8.61 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, sk_c6)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[542])).
% 8.41/8.61 tff(544,plain,
% 8.41/8.61 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 8.41/8.61 inference(symmetry,[status(thm)],[543])).
% 8.41/8.61 tff(545,plain,
% 8.41/8.61 (sk_c5 = multiply(sk_c5, multiply(multiply(sk_c1, sk_c2), sk_c5))),
% 8.41/8.61 inference(transitivity,[status(thm)],[406, 403, 392, 390, 544, 541, 538, 536])).
% 8.41/8.61 tff(546,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, sk_c2), sk_c5) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c5, multiply(multiply(sk_c1, sk_c2), sk_c5)))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[545])).
% 8.41/8.61 tff(547,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c1, sk_c2), sk_c5)),
% 8.41/8.61 inference(symmetry,[status(thm)],[528])).
% 8.41/8.61 tff(548,plain,
% 8.41/8.61 (multiply(sk_c1, sk_c6) = sk_c5),
% 8.41/8.61 inference(transitivity,[status(thm)],[525, 547, 546, 535, 533, 530, 341, 514, 354, 53, 360, 332, 428, 427, 415, 413, 408, 388, 385, 358, 340, 337, 3])).
% 8.41/8.61 tff(549,plain,
% 8.41/8.61 (inverse(sk_c1) = sk_c6),
% 8.41/8.61 inference(modus_ponens,[status(thm)],[548, 524])).
% 8.41/8.61 tff(550,plain,
% 8.41/8.61 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.41/8.61 inference(rewrite,[status(thm)],[])).
% 8.41/8.61 tff(551,plain,
% 8.41/8.61 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.41/8.61 inference(rewrite,[status(thm)],[])).
% 8.41/8.61 tff(552,plain,
% 8.41/8.61 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7))))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[551])).
% 8.41/8.61 tff(553,plain,
% 8.41/8.61 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.41/8.61 inference(transitivity,[status(thm)],[552, 550])).
% 8.41/8.61 tff(554,plain,
% 8.41/8.61 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(555,plain,
% 8.41/8.61 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7))),
% 8.41/8.61 inference(modus_ponens,[status(thm)],[554, 553])).
% 8.41/8.61 tff(556,plain,
% 8.41/8.61 ((~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c5))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[555, 3, 350, 307, 297])).
% 8.41/8.61 tff(557,plain,
% 8.41/8.61 ($false),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[556, 549, 520, 513, 429])).
% 8.41/8.61 tff(558,plain,(inverse(sk_c3) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 8.41/8.61 tff(559,plain,
% 8.41/8.61 (sk_c6 = inverse(sk_c3)),
% 8.41/8.61 inference(symmetry,[status(thm)],[558])).
% 8.41/8.61 tff(560,plain,
% 8.41/8.61 (multiply(sk_c6, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[559])).
% 8.41/8.61 tff(561,plain,
% 8.41/8.61 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c6, sk_c3)),
% 8.41/8.61 inference(symmetry,[status(thm)],[560])).
% 8.41/8.61 tff(562,plain,
% 8.41/8.61 (identity = multiply(sk_c6, sk_c3)),
% 8.41/8.61 inference(transitivity,[status(thm)],[42, 561])).
% 8.41/8.61 tff(563,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[562])).
% 8.41/8.61 tff(564,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.41/8.61 inference(transitivity,[status(thm)],[563, 324, 321, 317, 111])).
% 8.41/8.61 tff(565,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c6, sk_c1), identity), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[564])).
% 8.41/8.61 tff(566,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c1), identity), sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[565])).
% 8.41/8.61 tff(567,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(568,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3)))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[567, 21])).
% 8.41/8.61 tff(569,plain,
% 8.41/8.61 (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3))),
% 8.41/8.61 inference(symmetry,[status(thm)],[568])).
% 8.41/8.61 tff(570,plain,
% 8.41/8.61 (multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.41/8.61 inference(transitivity,[status(thm)],[569, 324, 321, 317, 111])).
% 8.41/8.61 tff(571,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[570])).
% 8.41/8.61 tff(572,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(573,plain,
% 8.41/8.61 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[572, 21])).
% 8.41/8.61 tff(574,plain,
% 8.41/8.61 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[573])).
% 8.41/8.61 tff(575,plain,
% 8.41/8.61 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c6, sk_c3))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[562])).
% 8.41/8.61 tff(576,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(sk_c6, sk_c3)) = multiply(sk_c1, identity)),
% 8.41/8.61 inference(symmetry,[status(thm)],[575])).
% 8.41/8.61 tff(577,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c1, identity), sk_c6)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[576])).
% 8.41/8.61 tff(578,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, identity), sk_c6) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[577])).
% 8.41/8.61 tff(579,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), sk_c6) = multiply(sk_c1, multiply(identity, sk_c6)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(580,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, identity), sk_c6) = multiply(sk_c1, multiply(identity, sk_c6))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[579, 21])).
% 8.41/8.61 tff(581,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(identity, sk_c6)) = multiply(multiply(sk_c1, identity), sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[580])).
% 8.41/8.61 tff(582,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(identity, sk_c6)) = multiply(sk_c1, sk_c6)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[53])).
% 8.41/8.61 tff(583,plain,
% 8.41/8.61 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(identity, sk_c6))),
% 8.41/8.61 inference(symmetry,[status(thm)],[582])).
% 8.41/8.61 tff(584,assumption,(~(multiply(sk_c3, sk_c6) = sk_c7)), introduced(assumption)).
% 8.41/8.61 tff(585,plain,
% 8.41/8.61 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 8.41/8.61 inference(rewrite,[status(thm)],[])).
% 8.41/8.61 tff(586,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 8.41/8.61 tff(587,plain,
% 8.41/8.61 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 8.41/8.61 inference(modus_ponens,[status(thm)],[586, 585])).
% 8.41/8.61 tff(588,plain,
% 8.41/8.61 (inverse(sk_c1) = sk_c7),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[587, 584])).
% 8.41/8.61 tff(589,plain,
% 8.41/8.61 (sk_c7 = inverse(sk_c1)),
% 8.41/8.61 inference(symmetry,[status(thm)],[588])).
% 8.41/8.61 tff(590,plain,
% 8.41/8.61 (multiply(sk_c1, sk_c6) = multiply(sk_c1, multiply(identity, sk_c6))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[54])).
% 8.41/8.61 tff(591,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(identity, sk_c6)) = multiply(sk_c1, sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[590])).
% 8.41/8.61 tff(592,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, identity), sk_c6) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[575])).
% 8.41/8.61 tff(593,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c1, identity), sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[592])).
% 8.41/8.61 tff(594,plain,
% 8.41/8.61 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c3)),
% 8.41/8.61 inference(transitivity,[status(thm)],[74, 42, 561])).
% 8.41/8.61 tff(595,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(sk_c1, multiply(sk_c6, sk_c3))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[594])).
% 8.41/8.61 tff(596,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(597,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[596, 21])).
% 8.41/8.61 tff(598,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c1, multiply(sk_c6, sk_c3))),
% 8.41/8.61 inference(transitivity,[status(thm)],[597, 595])).
% 8.41/8.61 tff(599,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[598])).
% 8.41/8.61 tff(600,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(601,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[600, 21])).
% 8.41/8.61 tff(602,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[601])).
% 8.41/8.61 tff(603,plain,
% 8.41/8.61 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, inverse(multiply(sk_c3, sk_c6))) = inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(604,plain,
% 8.41/8.61 (multiply(identity, inverse(multiply(sk_c3, sk_c6))) = inverse(multiply(sk_c3, sk_c6))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[603, 51])).
% 8.41/8.61 tff(605,plain,
% 8.41/8.61 (inverse(multiply(sk_c3, sk_c6)) = multiply(identity, inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(symmetry,[status(thm)],[604])).
% 8.41/8.61 tff(606,plain,
% 8.41/8.61 (multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c1, multiply(identity, inverse(multiply(sk_c3, sk_c6))))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[605])).
% 8.41/8.61 tff(607,plain,
% 8.41/8.61 (multiply(sk_c1, multiply(identity, inverse(multiply(sk_c3, sk_c6)))) = multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(symmetry,[status(thm)],[606])).
% 8.41/8.61 tff(608,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c1, multiply(identity, inverse(multiply(sk_c3, sk_c6)))))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(609,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, identity), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c1, multiply(identity, inverse(multiply(sk_c3, sk_c6))))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[608, 21])).
% 8.41/8.61 tff(610,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, identity), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[575])).
% 8.41/8.61 tff(611,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c1, identity), inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(symmetry,[status(thm)],[610])).
% 8.41/8.61 tff(612,plain,
% 8.41/8.61 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(transitivity,[status(thm)],[611, 609, 607])).
% 8.41/8.61 tff(613,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[612])).
% 8.41/8.61 tff(614,plain,
% 8.41/8.61 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(identity, sk_c6))),
% 8.41/8.61 inference(monotonicity,[status(thm)],[54])).
% 8.41/8.61 tff(615,plain,
% 8.41/8.61 (multiply(multiply(sk_c3, sk_c6), multiply(identity, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 8.41/8.61 inference(symmetry,[status(thm)],[614])).
% 8.41/8.61 tff(616,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), identity), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(identity, sk_c6)))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(617,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c3, sk_c6), identity), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(identity, sk_c6))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[616, 21])).
% 8.41/8.61 tff(618,plain,
% 8.41/8.61 (multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c3, sk_c6), identity)),
% 8.41/8.61 inference(monotonicity,[status(thm)],[74])).
% 8.41/8.61 tff(619,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(620,plain,
% 8.41/8.61 (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[619, 21])).
% 8.41/8.61 tff(621,plain,
% 8.41/8.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))))),
% 8.41/8.61 inference(quant_inst,[status(thm)],[])).
% 8.41/8.61 tff(622,plain,
% 8.41/8.61 (multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))))),
% 8.41/8.61 inference(unit_resolution,[status(thm)],[621, 21])).
% 8.41/8.61 tff(623,plain,
% 8.41/8.61 (multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.61 inference(symmetry,[status(thm)],[622])).
% 8.41/8.61 tff(624,plain,
% 8.41/8.61 (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[623])).
% 8.41/8.62 tff(625,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c3, sk_c6), identity)),
% 8.41/8.62 inference(transitivity,[status(thm)],[624, 620, 618])).
% 8.41/8.62 tff(626,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), identity), sk_c6)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[625])).
% 8.41/8.62 tff(627,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(628,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[627, 21])).
% 8.41/8.62 tff(629,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[628])).
% 8.41/8.62 tff(630,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[622])).
% 8.41/8.62 tff(631,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(632,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[631, 21])).
% 8.41/8.62 tff(633,plain,
% 8.41/8.62 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[632])).
% 8.41/8.62 tff(634,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[623, 633])).
% 8.41/8.62 tff(635,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c3, multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(636,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c3, multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[635, 21])).
% 8.41/8.62 tff(637,plain,
% 8.41/8.62 (multiply(sk_c3, multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))) = multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[636])).
% 8.41/8.62 tff(638,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[633])).
% 8.41/8.62 tff(639,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[638])).
% 8.41/8.62 tff(640,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(641,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[640, 21])).
% 8.41/8.62 tff(642,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(sk_c6, identity)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[74])).
% 8.41/8.62 tff(643,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c6, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(644,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c6, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[643, 21])).
% 8.41/8.62 tff(645,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c6, identity)),
% 8.41/8.62 inference(transitivity,[status(thm)],[644, 642])).
% 8.41/8.62 tff(646,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c6, identity), sk_c6)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[645])).
% 8.41/8.62 tff(647,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, identity), sk_c6) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[646])).
% 8.41/8.62 tff(648,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), sk_c6) = multiply(sk_c6, multiply(identity, sk_c6)))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(649,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, identity), sk_c6) = multiply(sk_c6, multiply(identity, sk_c6))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[648, 21])).
% 8.41/8.62 tff(650,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(identity, sk_c6)) = multiply(multiply(sk_c6, identity), sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[649])).
% 8.41/8.62 tff(651,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(identity, sk_c6)) = multiply(sk_c6, sk_c6)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[53])).
% 8.41/8.62 tff(652,plain,
% 8.41/8.62 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(identity, sk_c6))),
% 8.41/8.62 inference(symmetry,[status(thm)],[651])).
% 8.41/8.62 tff(653,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3)))),
% 8.41/8.62 inference(transitivity,[status(thm)],[112, 109, 320, 323, 568])).
% 8.41/8.62 tff(654,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), sk_c6)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[653])).
% 8.41/8.62 tff(655,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[654])).
% 8.41/8.62 tff(656,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = sk_c5),
% 8.41/8.62 inference(transitivity,[status(thm)],[574, 655, 566, 316, 314, 312, 310, 3])).
% 8.41/8.62 tff(657,plain,
% 8.41/8.62 (multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(sk_c2, sk_c5)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[656])).
% 8.41/8.62 tff(658,plain,
% 8.41/8.62 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[657])).
% 8.41/8.62 tff(659,plain,
% 8.41/8.62 (((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 8.41/8.62 inference(rewrite,[status(thm)],[])).
% 8.41/8.62 tff(660,axiom,((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 8.41/8.62 tff(661,plain,
% 8.41/8.62 ((multiply(sk_c2, sk_c5) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 8.41/8.62 inference(modus_ponens,[status(thm)],[660, 659])).
% 8.41/8.62 tff(662,plain,
% 8.41/8.62 (multiply(sk_c2, sk_c5) = sk_c6),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[661, 584])).
% 8.41/8.62 tff(663,plain,
% 8.41/8.62 (sk_c6 = multiply(sk_c2, sk_c5)),
% 8.41/8.62 inference(symmetry,[status(thm)],[662])).
% 8.41/8.62 tff(664,plain,
% 8.41/8.62 (sk_c6 = multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.41/8.62 inference(transitivity,[status(thm)],[663, 658])).
% 8.41/8.62 tff(665,plain,
% 8.41/8.62 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[664])).
% 8.41/8.62 tff(666,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))) = multiply(sk_c6, sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[665])).
% 8.41/8.62 tff(667,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(668,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[667, 21])).
% 8.41/8.62 tff(669,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)),
% 8.41/8.62 inference(transitivity,[status(thm)],[602, 599])).
% 8.41/8.62 tff(670,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[669])).
% 8.41/8.62 tff(671,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[670])).
% 8.41/8.62 tff(672,plain,
% 8.41/8.62 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 8.41/8.62 inference(rewrite,[status(thm)],[])).
% 8.41/8.62 tff(673,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 8.41/8.62 tff(674,plain,
% 8.41/8.62 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 8.41/8.62 inference(modus_ponens,[status(thm)],[673, 672])).
% 8.41/8.62 tff(675,plain,
% 8.41/8.62 (inverse(sk_c2) = sk_c6),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[674, 584])).
% 8.41/8.62 tff(676,plain,
% 8.41/8.62 (sk_c6 = inverse(sk_c2)),
% 8.41/8.62 inference(symmetry,[status(thm)],[675])).
% 8.41/8.62 tff(677,plain,
% 8.41/8.62 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[676])).
% 8.41/8.62 tff(678,plain,
% 8.41/8.62 (multiply(sk_c6, sk_c2) = identity),
% 8.41/8.62 inference(transitivity,[status(thm)],[677, 394])).
% 8.41/8.62 tff(679,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(identity, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[678, 671])).
% 8.41/8.62 tff(680,plain,
% 8.41/8.62 (multiply(identity, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[679])).
% 8.41/8.62 tff(681,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(identity, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(682,plain,
% 8.41/8.62 (multiply(multiply(identity, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(identity, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[681, 21])).
% 8.41/8.62 tff(683,plain,
% 8.41/8.62 (multiply(multiply(identity, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[53, 669])).
% 8.41/8.62 tff(684,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = multiply(multiply(identity, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[683])).
% 8.41/8.62 tff(685,plain,
% 8.41/8.62 (multiply(multiply(sk_c6, sk_c1), multiply(identity, sk_c6)) = multiply(multiply(multiply(sk_c6, sk_c1), identity), sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[316])).
% 8.41/8.62 tff(686,plain,
% 8.41/8.62 (sk_c5 = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.41/8.62 inference(transitivity,[status(thm)],[106, 309, 318, 313, 685, 565, 654, 573, 684, 682, 680, 668, 666, 652, 650, 647, 641, 639])).
% 8.41/8.62 tff(687,plain,
% 8.41/8.62 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[686])).
% 8.41/8.62 tff(688,plain,
% 8.41/8.62 (multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = sk_c5),
% 8.41/8.62 inference(transitivity,[status(thm)],[670, 574, 655, 566, 316, 314, 312, 310, 3])).
% 8.41/8.62 tff(689,plain,
% 8.41/8.62 (multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(sk_c3, sk_c5)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[688])).
% 8.41/8.62 tff(690,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(691,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[690, 21])).
% 8.41/8.62 tff(692,plain,
% 8.41/8.62 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(identity, sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[54])).
% 8.41/8.62 tff(693,plain,
% 8.41/8.62 (multiply(sk_c3, multiply(identity, sk_c6)) = multiply(sk_c3, sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[692])).
% 8.41/8.62 tff(694,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), sk_c6) = multiply(sk_c3, multiply(identity, sk_c6)))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(695,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, identity), sk_c6) = multiply(sk_c3, multiply(identity, sk_c6))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[694, 21])).
% 8.41/8.62 tff(696,plain,
% 8.41/8.62 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(sk_c3, identity)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[74])).
% 8.41/8.62 tff(697,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(698,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[697, 21])).
% 8.41/8.62 tff(699,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c3, identity)),
% 8.41/8.62 inference(transitivity,[status(thm)],[698, 696])).
% 8.41/8.62 tff(700,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c3, identity), sk_c6)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[699])).
% 8.41/8.62 tff(701,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(702,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[701, 21])).
% 8.41/8.62 tff(703,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.41/8.62 inference(symmetry,[status(thm)],[702])).
% 8.41/8.62 tff(704,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[633])).
% 8.41/8.62 tff(705,plain,
% 8.41/8.62 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c3, sk_c6)),
% 8.41/8.62 inference(transitivity,[status(thm)],[704, 703, 700, 695, 693])).
% 8.41/8.62 tff(706,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[705])).
% 8.41/8.62 tff(707,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 8.41/8.62 inference(transitivity,[status(thm)],[706, 691, 689, 687, 637, 634, 630, 629, 626, 617, 615])).
% 8.41/8.62 tff(708,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[598])).
% 8.41/8.62 tff(709,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(710,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[709, 21])).
% 8.41/8.62 tff(711,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[710])).
% 8.41/8.62 tff(712,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6)))),
% 8.41/8.62 inference(transitivity,[status(thm)],[711, 708])).
% 8.41/8.62 tff(713,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[712, 707])).
% 8.41/8.62 tff(714,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(715,plain,
% 8.41/8.62 (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[714, 21])).
% 8.41/8.62 tff(716,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[712, 705])).
% 8.41/8.62 tff(717,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.41/8.62 inference(symmetry,[status(thm)],[716])).
% 8.41/8.62 tff(718,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))))),
% 8.41/8.62 inference(quant_inst,[status(thm)],[])).
% 8.41/8.62 tff(719,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.41/8.62 inference(unit_resolution,[status(thm)],[718, 21])).
% 8.41/8.62 tff(720,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.41/8.62 inference(symmetry,[status(thm)],[719])).
% 8.41/8.62 tff(721,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[74])).
% 8.41/8.62 tff(722,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.41/8.62 inference(symmetry,[status(thm)],[721])).
% 8.41/8.62 tff(723,plain,
% 8.41/8.62 (multiply(sk_c6, sk_c3) = identity),
% 8.41/8.62 inference(transitivity,[status(thm)],[560, 41])).
% 8.41/8.62 tff(724,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[723])).
% 8.41/8.62 tff(725,plain,
% 8.41/8.62 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.41/8.62 inference(transitivity,[status(thm)],[724, 722, 720, 717])).
% 8.41/8.62 tff(726,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.41/8.62 inference(monotonicity,[status(thm)],[725])).
% 8.41/8.62 tff(727,plain,
% 8.41/8.62 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = inverse(sk_c1)),
% 8.41/8.62 inference(transitivity,[status(thm)],[726, 715, 713, 613, 602, 599, 593, 580, 591, 307, 589])).
% 8.41/8.62 tff(728,plain,
% 8.41/8.62 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.41/8.62 inference(monotonicity,[status(thm)],[727])).
% 8.41/8.62 tff(729,plain,
% 8.41/8.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), sk_c1) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1)))),
% 8.41/8.63 inference(quant_inst,[status(thm)],[])).
% 8.41/8.63 tff(730,plain,
% 8.41/8.63 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), sk_c1) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1))),
% 8.41/8.63 inference(unit_resolution,[status(thm)],[729, 21])).
% 8.41/8.63 tff(731,plain,
% 8.41/8.63 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1)) = multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), sk_c1)),
% 8.41/8.63 inference(symmetry,[status(thm)],[730])).
% 8.41/8.63 tff(732,plain,
% 8.41/8.63 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = inverse(sk_c1)),
% 8.41/8.63 inference(transitivity,[status(thm)],[602, 599, 593, 580, 591, 307, 589])).
% 8.41/8.63 tff(733,plain,
% 8.41/8.63 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.41/8.63 inference(monotonicity,[status(thm)],[732])).
% 8.41/8.63 tff(734,plain,
% 8.41/8.63 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1)),
% 8.41/8.63 inference(symmetry,[status(thm)],[733])).
% 8.41/8.63 tff(735,plain,
% 8.41/8.63 (identity = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1)),
% 8.41/8.63 inference(transitivity,[status(thm)],[441, 734])).
% 8.41/8.63 tff(736,plain,
% 8.41/8.63 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.41/8.63 inference(symmetry,[status(thm)],[724])).
% 8.41/8.63 tff(737,plain,
% 8.41/8.63 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity), identity) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1))),
% 8.41/8.63 inference(monotonicity,[status(thm)],[736, 735])).
% 8.41/8.63 tff(738,plain,
% 8.41/8.63 (multiply(multiply(sk_c1, identity), identity) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)),
% 8.41/8.63 inference(monotonicity,[status(thm)],[575])).
% 8.41/8.63 tff(739,plain,
% 8.41/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), identity) = multiply(sk_c1, multiply(identity, identity)))),
% 8.41/8.63 inference(quant_inst,[status(thm)],[])).
% 8.41/8.63 tff(740,plain,
% 8.41/8.63 (multiply(multiply(sk_c1, identity), identity) = multiply(sk_c1, multiply(identity, identity))),
% 8.41/8.63 inference(unit_resolution,[status(thm)],[739, 21])).
% 8.41/8.63 tff(741,plain,
% 8.41/8.63 (multiply(sk_c1, multiply(identity, identity)) = multiply(multiply(sk_c1, identity), identity)),
% 8.41/8.63 inference(symmetry,[status(thm)],[740])).
% 8.41/8.63 tff(742,plain,
% 8.41/8.63 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, identity) = identity)),
% 8.41/8.63 inference(quant_inst,[status(thm)],[])).
% 8.41/8.63 tff(743,plain,
% 8.41/8.63 (multiply(identity, identity) = identity),
% 8.41/8.63 inference(unit_resolution,[status(thm)],[742, 51])).
% 8.41/8.63 tff(744,plain,
% 8.41/8.63 (identity = multiply(identity, identity)),
% 8.41/8.63 inference(symmetry,[status(thm)],[743])).
% 8.41/8.63 tff(745,plain,
% 8.41/8.63 (multiply(sk_c6, sk_c3) = multiply(identity, identity)),
% 8.41/8.63 inference(transitivity,[status(thm)],[560, 41, 744])).
% 8.41/8.63 tff(746,plain,
% 8.41/8.63 (multiply(sk_c1, multiply(sk_c6, sk_c3)) = multiply(sk_c1, multiply(identity, identity))),
% 8.41/8.63 inference(monotonicity,[status(thm)],[745])).
% 8.41/8.63 tff(747,plain,
% 8.41/8.63 (multiply(sk_c1, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)),
% 8.41/8.63 inference(transitivity,[status(thm)],[746, 741, 738])).
% 8.47/8.63 tff(748,plain,
% 8.47/8.63 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity), identity)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[747])).
% 8.47/8.63 tff(749,plain,
% 8.47/8.63 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity) = identity),
% 8.47/8.63 inference(transitivity,[status(thm)],[748, 737, 731, 728, 346])).
% 8.47/8.63 tff(750,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity), sk_c6) = multiply(identity, sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[749])).
% 8.47/8.63 tff(751,plain,
% 8.47/8.63 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity), sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[747])).
% 8.47/8.63 tff(752,plain,
% 8.47/8.63 (multiply(identity, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(multiply(identity, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.63 inference(symmetry,[status(thm)],[682])).
% 8.47/8.63 tff(753,plain,
% 8.47/8.63 (multiply(sk_c6, multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))) = multiply(multiply(sk_c6, sk_c2), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.47/8.63 inference(symmetry,[status(thm)],[668])).
% 8.47/8.63 tff(754,plain,
% 8.47/8.63 (multiply(sk_c6, sk_c6) = sk_c5),
% 8.47/8.63 inference(transitivity,[status(thm)],[665, 753, 679, 752, 683, 574, 655, 566, 316, 314, 312, 310, 3])).
% 8.47/8.63 tff(755,plain,
% 8.47/8.63 (multiply(sk_c2, multiply(sk_c6, sk_c6)) = multiply(sk_c2, sk_c5)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[754])).
% 8.47/8.63 tff(756,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), sk_c6) = multiply(sk_c2, multiply(sk_c6, sk_c6)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(757,plain,
% 8.47/8.63 (multiply(multiply(sk_c2, sk_c6), sk_c6) = multiply(sk_c2, multiply(sk_c6, sk_c6))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[756, 21])).
% 8.47/8.63 tff(758,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1) = identity),
% 8.47/8.63 inference(transitivity,[status(thm)],[733, 346])).
% 8.47/8.63 tff(759,plain,
% 8.47/8.63 (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), sk_c6) = multiply(identity, sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[758])).
% 8.47/8.63 tff(760,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), sk_c6) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, sk_c6)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(761,plain,
% 8.47/8.63 (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), sk_c6) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, sk_c6))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[760, 21])).
% 8.47/8.63 tff(762,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, sk_c6)) = multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), sk_c6)),
% 8.47/8.63 inference(symmetry,[status(thm)],[761])).
% 8.47/8.63 tff(763,plain,
% 8.47/8.63 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(sk_c1, sk_c6)),
% 8.47/8.63 inference(transitivity,[status(thm)],[602, 599, 593, 580, 591])).
% 8.47/8.63 tff(764,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, sk_c6))),
% 8.47/8.63 inference(monotonicity,[status(thm)],[763])).
% 8.47/8.63 tff(765,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = sk_c6),
% 8.47/8.63 inference(transitivity,[status(thm)],[764, 762, 759, 53])).
% 8.47/8.63 tff(766,plain,
% 8.47/8.63 (multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(multiply(sk_c2, sk_c6), sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[765])).
% 8.47/8.63 tff(767,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(768,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[767, 21])).
% 8.47/8.63 tff(769,plain,
% 8.47/8.63 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.47/8.63 inference(symmetry,[status(thm)],[599])).
% 8.47/8.63 tff(770,plain,
% 8.47/8.63 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.63 inference(transitivity,[status(thm)],[769, 601])).
% 8.47/8.63 tff(771,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(772,plain,
% 8.47/8.63 (multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[771, 21])).
% 8.47/8.63 tff(773,plain,
% 8.47/8.63 (multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.63 inference(symmetry,[status(thm)],[772])).
% 8.47/8.63 tff(774,plain,
% 8.47/8.63 (multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(sk_c2, sk_c5)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[688])).
% 8.47/8.63 tff(775,plain,
% 8.47/8.63 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.47/8.63 inference(symmetry,[status(thm)],[774])).
% 8.47/8.63 tff(776,plain,
% 8.47/8.63 (sk_c6 = multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.63 inference(transitivity,[status(thm)],[663, 775, 773])).
% 8.47/8.63 tff(777,plain,
% 8.47/8.63 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.63 inference(monotonicity,[status(thm)],[776, 770])).
% 8.47/8.63 tff(778,plain,
% 8.47/8.63 (sk_c5 = sk_c6),
% 8.47/8.63 inference(transitivity,[status(thm)],[106, 309, 318, 313, 685, 565, 654, 573, 777, 768, 766, 757, 755, 662])).
% 8.47/8.63 tff(779,plain,
% 8.47/8.63 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[778])).
% 8.47/8.63 tff(780,plain,
% 8.47/8.63 (multiply(sk_c1, sk_c5) = sk_c6),
% 8.47/8.63 inference(transitivity,[status(thm)],[779, 590, 581, 592, 751, 750, 53])).
% 8.47/8.63 tff(781,plain,
% 8.47/8.63 ((sk_c7 = inverse(sk_c3)) <=> (inverse(sk_c3) = sk_c7)),
% 8.47/8.63 inference(commutativity,[status(thm)],[])).
% 8.47/8.63 tff(782,plain,
% 8.47/8.63 ((inverse(sk_c1) = sk_c6) <=> (sk_c7 = inverse(sk_c3))),
% 8.47/8.63 inference(monotonicity,[status(thm)],[588, 559])).
% 8.47/8.63 tff(783,plain,
% 8.47/8.63 ((inverse(sk_c1) = sk_c6) <=> (inverse(sk_c3) = sk_c7)),
% 8.47/8.63 inference(transitivity,[status(thm)],[782, 781])).
% 8.47/8.63 tff(784,plain,
% 8.47/8.63 ((inverse(sk_c3) = sk_c7) <=> (inverse(sk_c1) = sk_c6)),
% 8.47/8.63 inference(symmetry,[status(thm)],[783])).
% 8.47/8.63 tff(785,plain,
% 8.47/8.63 (sk_c5 = inverse(sk_c3)),
% 8.47/8.63 inference(transitivity,[status(thm)],[106, 309, 318, 313, 685, 565, 654, 573, 777, 768, 766, 757, 755, 662, 559])).
% 8.47/8.63 tff(786,plain,
% 8.47/8.63 ((multiply(sk_c1, sk_c6) = sk_c5) <=> (sk_c7 = inverse(sk_c3))),
% 8.47/8.63 inference(monotonicity,[status(thm)],[307, 785])).
% 8.47/8.63 tff(787,plain,
% 8.47/8.63 ((multiply(sk_c1, sk_c6) = sk_c5) <=> (inverse(sk_c3) = sk_c7)),
% 8.47/8.63 inference(transitivity,[status(thm)],[786, 781])).
% 8.47/8.63 tff(788,plain,
% 8.47/8.63 ((sk_c5 = multiply(sk_c1, sk_c6)) <=> (multiply(sk_c1, sk_c6) = sk_c5)),
% 8.47/8.63 inference(commutativity,[status(thm)],[])).
% 8.47/8.63 tff(789,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))),
% 8.47/8.63 inference(symmetry,[status(thm)],[777])).
% 8.47/8.63 tff(790,plain,
% 8.47/8.63 (multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.63 inference(symmetry,[status(thm)],[768])).
% 8.47/8.63 tff(791,plain,
% 8.47/8.63 (multiply(multiply(sk_c2, sk_c6), sk_c6) = multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.47/8.63 inference(symmetry,[status(thm)],[766])).
% 8.47/8.63 tff(792,plain,
% 8.47/8.63 (multiply(sk_c2, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c2, sk_c6), sk_c6)),
% 8.47/8.63 inference(symmetry,[status(thm)],[757])).
% 8.47/8.63 tff(793,plain,
% 8.47/8.63 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, sk_c6))),
% 8.47/8.63 inference(symmetry,[status(thm)],[755])).
% 8.47/8.63 tff(794,plain,
% 8.47/8.63 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 8.47/8.63 inference(symmetry,[status(thm)],[677])).
% 8.47/8.63 tff(795,plain,
% 8.47/8.63 (identity = multiply(sk_c6, sk_c2)),
% 8.47/8.63 inference(transitivity,[status(thm)],[467, 794])).
% 8.47/8.63 tff(796,plain,
% 8.47/8.63 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[795])).
% 8.47/8.63 tff(797,plain,
% 8.47/8.63 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(identity, sk_c6)),
% 8.47/8.63 inference(symmetry,[status(thm)],[796])).
% 8.47/8.63 tff(798,plain,
% 8.47/8.63 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6) = identity),
% 8.47/8.63 inference(transitivity,[status(thm)],[71, 74])).
% 8.47/8.63 tff(799,plain,
% 8.47/8.63 (multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(identity, identity)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[798])).
% 8.47/8.63 tff(800,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(801,plain,
% 8.47/8.63 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[800, 21])).
% 8.47/8.63 tff(802,plain,
% 8.47/8.63 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(identity, sk_c6)) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[53])).
% 8.47/8.63 tff(803,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity), sk_c6) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(identity, sk_c6)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(804,plain,
% 8.47/8.63 (multiply(multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity), sk_c6) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(identity, sk_c6))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[803, 21])).
% 8.47/8.63 tff(805,plain,
% 8.47/8.63 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c2))),
% 8.47/8.63 inference(monotonicity,[status(thm)],[795])).
% 8.47/8.63 tff(806,plain,
% 8.47/8.63 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c2)) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity)),
% 8.47/8.63 inference(symmetry,[status(thm)],[805])).
% 8.47/8.63 tff(807,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c2) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c2)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(808,plain,
% 8.47/8.63 (multiply(multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c2) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c2))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[807, 21])).
% 8.47/8.63 tff(809,plain,
% 8.47/8.63 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = identity),
% 8.47/8.63 inference(transitivity,[status(thm)],[801, 799, 743])).
% 8.47/8.63 tff(810,plain,
% 8.47/8.63 (multiply(multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c2) = multiply(identity, sk_c2)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[809])).
% 8.47/8.63 tff(811,plain,
% 8.47/8.63 (multiply(identity, sk_c2) = multiply(multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c2)),
% 8.47/8.63 inference(symmetry,[status(thm)],[810])).
% 8.47/8.63 tff(812,plain,
% 8.47/8.63 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(813,plain,
% 8.47/8.63 (multiply(identity, sk_c2) = sk_c2),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[812, 51])).
% 8.47/8.63 tff(814,plain,
% 8.47/8.63 (sk_c2 = multiply(identity, sk_c2)),
% 8.47/8.63 inference(symmetry,[status(thm)],[813])).
% 8.47/8.63 tff(815,plain,
% 8.47/8.63 (sk_c2 = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity)),
% 8.47/8.63 inference(transitivity,[status(thm)],[814, 811, 808, 806])).
% 8.47/8.63 tff(816,plain,
% 8.47/8.63 (multiply(sk_c2, sk_c6) = multiply(multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity), sk_c6)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[815])).
% 8.47/8.63 tff(817,plain,
% 8.47/8.63 (multiply(sk_c2, sk_c6) = identity),
% 8.47/8.63 inference(transitivity,[status(thm)],[816, 804, 802, 801, 799, 743])).
% 8.47/8.63 tff(818,plain,
% 8.47/8.63 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(sk_c6, identity)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[817])).
% 8.47/8.63 tff(819,plain,
% 8.47/8.63 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 8.47/8.63 inference(symmetry,[status(thm)],[818])).
% 8.47/8.63 tff(820,plain,
% 8.47/8.63 (multiply(sk_c6, multiply(identity, identity)) = multiply(sk_c6, identity)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[743])).
% 8.47/8.63 tff(821,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), identity) = multiply(sk_c6, multiply(identity, identity)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(822,plain,
% 8.47/8.63 (multiply(multiply(sk_c6, identity), identity) = multiply(sk_c6, multiply(identity, identity))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[821, 21])).
% 8.47/8.63 tff(823,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity) = multiply(multiply(sk_c6, identity), identity)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[645])).
% 8.47/8.63 tff(824,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(825,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[824, 21])).
% 8.47/8.63 tff(826,plain,
% 8.47/8.63 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity)) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity)),
% 8.47/8.63 inference(symmetry,[status(thm)],[825])).
% 8.47/8.63 tff(827,plain,
% 8.47/8.63 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, sk_c6), identity)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[723])).
% 8.47/8.63 tff(828,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), sk_c3) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, sk_c3)))),
% 8.47/8.63 inference(quant_inst,[status(thm)],[])).
% 8.47/8.63 tff(829,plain,
% 8.47/8.63 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), sk_c3) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, sk_c3))),
% 8.47/8.63 inference(unit_resolution,[status(thm)],[828, 21])).
% 8.47/8.63 tff(830,plain,
% 8.47/8.63 (multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), sk_c3)),
% 8.47/8.63 inference(monotonicity,[status(thm)],[633])).
% 8.47/8.63 tff(831,plain,
% 8.47/8.63 (multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3) = multiply(multiply(sk_c3, sk_c6), identity)),
% 8.47/8.63 inference(transitivity,[status(thm)],[830, 829, 827])).
% 8.47/8.63 tff(832,plain,
% 8.47/8.63 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity))),
% 8.47/8.63 inference(monotonicity,[status(thm)],[831])).
% 8.47/8.63 tff(833,plain,
% 8.47/8.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(834,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[833, 21])).
% 8.47/8.64 tff(835,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.47/8.64 inference(transitivity,[status(thm)],[654, 573, 684, 682, 680, 668, 666, 652, 650, 647, 641, 639])).
% 8.47/8.64 tff(836,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), sk_c3) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[835])).
% 8.47/8.64 tff(837,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(838,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[837, 21])).
% 8.47/8.64 tff(839,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), sk_c3)),
% 8.47/8.64 inference(symmetry,[status(thm)],[838])).
% 8.47/8.64 tff(840,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[562])).
% 8.47/8.64 tff(841,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), identity) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[570])).
% 8.47/8.64 tff(842,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), identity) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(843,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), identity) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[842, 21])).
% 8.47/8.64 tff(844,plain,
% 8.47/8.64 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), identity)),
% 8.47/8.64 inference(symmetry,[status(thm)],[843])).
% 8.47/8.64 tff(845,plain,
% 8.47/8.64 (multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = sk_c6),
% 8.47/8.64 inference(transitivity,[status(thm)],[772, 774, 662])).
% 8.47/8.64 tff(846,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[845, 724])).
% 8.47/8.64 tff(847,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(848,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[847, 21])).
% 8.47/8.64 tff(849,plain,
% 8.47/8.64 (multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))) = multiply(multiply(multiply(sk_c2, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.47/8.64 inference(symmetry,[status(thm)],[848])).
% 8.47/8.64 tff(850,plain,
% 8.47/8.64 (multiply(sk_c1, multiply(identity, identity)) = multiply(sk_c1, multiply(sk_c6, sk_c3))),
% 8.47/8.64 inference(symmetry,[status(thm)],[746])).
% 8.47/8.64 tff(851,plain,
% 8.47/8.64 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity) = multiply(multiply(sk_c1, identity), identity)),
% 8.47/8.64 inference(symmetry,[status(thm)],[738])).
% 8.47/8.64 tff(852,plain,
% 8.47/8.64 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(sk_c1, identity)),
% 8.47/8.64 inference(transitivity,[status(thm)],[724, 851, 740, 850, 576])).
% 8.47/8.64 tff(853,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, identity))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[852])).
% 8.47/8.64 tff(854,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, identity)) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.47/8.64 inference(symmetry,[status(thm)],[853])).
% 8.47/8.64 tff(855,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), identity) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, identity)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(856,plain,
% 8.47/8.64 (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), identity) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c1, identity))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[855, 21])).
% 8.47/8.64 tff(857,plain,
% 8.47/8.64 (multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), identity) = multiply(identity, identity)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[758])).
% 8.47/8.64 tff(858,plain,
% 8.47/8.64 (multiply(identity, identity) = multiply(multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), sk_c1), identity)),
% 8.47/8.64 inference(symmetry,[status(thm)],[857])).
% 8.47/8.64 tff(859,plain,
% 8.47/8.64 (identity = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.47/8.64 inference(transitivity,[status(thm)],[744, 858, 856, 854])).
% 8.47/8.64 tff(860,plain,
% 8.47/8.64 (multiply(multiply(sk_c2, sk_c6), identity) = multiply(multiply(sk_c2, sk_c6), multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[859])).
% 8.47/8.64 tff(861,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), identity) = multiply(sk_c2, multiply(sk_c6, identity)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(862,plain,
% 8.47/8.64 (multiply(multiply(sk_c2, sk_c6), identity) = multiply(sk_c2, multiply(sk_c6, identity))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[861, 21])).
% 8.47/8.64 tff(863,plain,
% 8.47/8.64 (multiply(sk_c2, multiply(sk_c6, identity)) = multiply(multiply(sk_c2, sk_c6), identity)),
% 8.47/8.64 inference(symmetry,[status(thm)],[862])).
% 8.47/8.64 tff(864,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c6, sk_c1), identity), identity) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[564])).
% 8.47/8.64 tff(865,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c1), identity), identity) = multiply(multiply(sk_c6, sk_c1), multiply(identity, identity)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(866,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c6, sk_c1), identity), identity) = multiply(multiply(sk_c6, sk_c1), multiply(identity, identity))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[865, 21])).
% 8.47/8.64 tff(867,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, sk_c1), multiply(identity, identity)) = multiply(multiply(multiply(sk_c6, sk_c1), identity), identity)),
% 8.47/8.64 inference(symmetry,[status(thm)],[866])).
% 8.47/8.64 tff(868,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, sk_c1), multiply(identity, identity))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[745])).
% 8.47/8.64 tff(869,plain,
% 8.47/8.64 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, identity)),
% 8.47/8.64 inference(transitivity,[status(thm)],[112, 109, 320, 323, 868, 867, 864, 840, 839, 836, 834, 832, 826, 823, 822, 820])).
% 8.47/8.64 tff(870,plain,
% 8.47/8.64 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c7, sk_c3))) = multiply(sk_c2, multiply(sk_c6, identity))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[869])).
% 8.47/8.64 tff(871,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, sk_c1), multiply(identity, identity)) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3))),
% 8.47/8.64 inference(symmetry,[status(thm)],[868])).
% 8.47/8.64 tff(872,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity) = multiply(multiply(multiply(sk_c6, sk_c1), identity), identity)),
% 8.47/8.64 inference(symmetry,[status(thm)],[864])).
% 8.47/8.64 tff(873,plain,
% 8.47/8.64 (multiply(sk_c5, sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.47/8.64 inference(transitivity,[status(thm)],[317, 111])).
% 8.47/8.64 tff(874,plain,
% 8.47/8.64 (multiply(multiply(sk_c5, sk_c3), identity) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[873])).
% 8.47/8.64 tff(875,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), identity) = multiply(sk_c5, multiply(sk_c3, identity)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(876,plain,
% 8.47/8.64 (multiply(multiply(sk_c5, sk_c3), identity) = multiply(sk_c5, multiply(sk_c3, identity))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[875, 21])).
% 8.47/8.64 tff(877,plain,
% 8.47/8.64 (multiply(sk_c5, multiply(sk_c3, identity)) = multiply(multiply(sk_c5, sk_c3), identity)),
% 8.47/8.64 inference(symmetry,[status(thm)],[876])).
% 8.47/8.64 tff(878,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = sk_c5),
% 8.47/8.64 inference(transitivity,[status(thm)],[566, 316, 314, 312, 310, 3])).
% 8.47/8.64 tff(879,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, identity)) = multiply(sk_c5, multiply(sk_c3, identity))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[878])).
% 8.47/8.64 tff(880,plain,
% 8.47/8.64 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(sk_c3, identity)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[723])).
% 8.47/8.64 tff(881,plain,
% 8.47/8.64 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.47/8.64 inference(transitivity,[status(thm)],[574, 655])).
% 8.47/8.64 tff(882,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, identity))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[881, 880])).
% 8.47/8.64 tff(883,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.47/8.64 inference(transitivity,[status(thm)],[882, 879, 877, 874, 872, 866, 871, 324, 321, 317, 111])).
% 8.47/8.64 tff(884,plain,
% 8.47/8.64 (multiply(sk_c2, multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3)))) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c7, sk_c3)))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[883])).
% 8.47/8.64 tff(885,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c2, multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3)))))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(886,plain,
% 8.47/8.64 (multiply(multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c2, multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3))))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[885, 21])).
% 8.47/8.64 tff(887,plain,
% 8.47/8.64 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 8.47/8.64 inference(symmetry,[status(thm)],[880])).
% 8.47/8.64 tff(888,plain,
% 8.47/8.64 (multiply(sk_c6, multiply(sk_c3, identity)) = multiply(multiply(sk_c2, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[664, 887])).
% 8.47/8.64 tff(889,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), identity) = multiply(sk_c6, multiply(sk_c3, identity)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(890,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, sk_c3), identity) = multiply(sk_c6, multiply(sk_c3, identity))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[889, 21])).
% 8.47/8.64 tff(891,plain,
% 8.47/8.64 (multiply(identity, identity) = multiply(multiply(sk_c6, sk_c3), identity)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[562])).
% 8.47/8.64 tff(892,plain,
% 8.47/8.64 (multiply(sk_c2, sk_c6) = sk_c5),
% 8.47/8.64 inference(transitivity,[status(thm)],[816, 804, 802, 801, 799, 891, 890, 888, 886, 884, 870, 863, 860, 849, 846, 844, 841, 840, 839, 836, 834, 832, 826, 823, 822, 820, 819, 433, 797, 53, 663, 793, 792, 791, 790, 789, 574, 655, 566, 316, 314, 312, 310, 3])).
% 8.47/8.64 tff(893,plain,
% 8.47/8.64 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (sk_c5 = multiply(sk_c1, sk_c6))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[892, 308])).
% 8.47/8.64 tff(894,plain,
% 8.47/8.64 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(sk_c1, sk_c6) = sk_c5)),
% 8.47/8.64 inference(transitivity,[status(thm)],[893, 788])).
% 8.47/8.64 tff(895,plain,
% 8.47/8.64 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (inverse(sk_c1) = sk_c6)),
% 8.47/8.64 inference(transitivity,[status(thm)],[894, 787, 784])).
% 8.47/8.64 tff(896,plain,
% 8.47/8.64 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity), sk_c6) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)),
% 8.47/8.64 inference(symmetry,[status(thm)],[751])).
% 8.47/8.64 tff(897,plain,
% 8.47/8.64 (multiply(identity, sk_c6) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity), sk_c6)),
% 8.47/8.64 inference(symmetry,[status(thm)],[750])).
% 8.47/8.64 tff(898,plain,
% 8.47/8.64 (multiply(sk_c2, sk_c6) = sk_c7),
% 8.47/8.64 inference(transitivity,[status(thm)],[816, 804, 802, 801, 799, 891, 890, 888, 886, 884, 870, 863, 860, 849, 846, 844, 841, 840, 839, 836, 834, 832, 826, 823, 822, 820, 819, 433, 797, 897, 896, 593, 580, 591, 307])).
% 8.47/8.64 tff(899,plain,
% 8.47/8.64 (inverse(sk_c1) = sk_c6),
% 8.47/8.64 inference(modus_ponens,[status(thm)],[898, 895])).
% 8.47/8.64 tff(900,plain,
% 8.47/8.64 (multiply(sk_c1, sk_c6) = sk_c5),
% 8.47/8.64 inference(modus_ponens,[status(thm)],[898, 894])).
% 8.47/8.64 tff(901,plain,
% 8.47/8.64 (inverse(sk_c1) = multiply(sk_c1, sk_c6)),
% 8.47/8.64 inference(transitivity,[status(thm)],[588, 308])).
% 8.47/8.64 tff(902,plain,
% 8.47/8.64 ((inverse(sk_c1) = sk_c5) <=> (multiply(sk_c1, sk_c6) = sk_c5)),
% 8.47/8.64 inference(monotonicity,[status(thm)],[901])).
% 8.47/8.64 tff(903,plain,
% 8.47/8.64 ((multiply(sk_c1, sk_c6) = sk_c5) <=> (inverse(sk_c1) = sk_c5)),
% 8.47/8.64 inference(symmetry,[status(thm)],[902])).
% 8.47/8.64 tff(904,plain,
% 8.47/8.64 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (inverse(sk_c1) = sk_c5)),
% 8.47/8.64 inference(transitivity,[status(thm)],[894, 903])).
% 8.47/8.64 tff(905,plain,
% 8.47/8.64 (inverse(sk_c1) = sk_c5),
% 8.47/8.64 inference(modus_ponens,[status(thm)],[898, 904])).
% 8.47/8.64 tff(906,plain,
% 8.47/8.64 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.47/8.64 inference(rewrite,[status(thm)],[])).
% 8.47/8.64 tff(907,plain,
% 8.47/8.64 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.47/8.64 inference(rewrite,[status(thm)],[])).
% 8.47/8.64 tff(908,plain,
% 8.47/8.64 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7))))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[907])).
% 8.47/8.64 tff(909,plain,
% 8.47/8.64 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.47/8.64 inference(transitivity,[status(thm)],[908, 906])).
% 8.47/8.64 tff(910,plain,
% 8.47/8.64 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(911,plain,
% 8.47/8.64 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7))),
% 8.47/8.64 inference(modus_ponens,[status(thm)],[910, 909])).
% 8.47/8.64 tff(912,plain,
% 8.47/8.64 ((~(multiply(sk_c1, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c5)) | (~(inverse(sk_c1) = sk_c6)) | (~(multiply(sk_c1, sk_c5) = sk_c6))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[911, 3, 588, 307, 297])).
% 8.47/8.64 tff(913,plain,
% 8.47/8.64 ($false),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[912, 905, 900, 899, 780])).
% 8.47/8.64 tff(914,plain,(multiply(sk_c3, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 8.47/8.64 tff(915,plain,
% 8.47/8.64 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)),
% 8.47/8.64 inference(transitivity,[status(thm)],[704, 703, 700, 695, 693, 914, 308, 583, 581, 578])).
% 8.47/8.64 tff(916,plain,
% 8.47/8.64 (multiply(sk_c6, multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[915])).
% 8.47/8.64 tff(917,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c6, multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(918,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c6, multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[917, 21])).
% 8.47/8.64 tff(919,plain,
% 8.47/8.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6)))))),
% 8.47/8.64 inference(quant_inst,[status(thm)],[])).
% 8.47/8.64 tff(920,plain,
% 8.47/8.64 (multiply(multiply(sk_c6, sk_c3), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.64 inference(unit_resolution,[status(thm)],[919, 21])).
% 8.47/8.64 tff(921,plain,
% 8.47/8.64 (multiply(identity, inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, sk_c3), inverse(multiply(sk_c3, sk_c6)))),
% 8.47/8.64 inference(monotonicity,[status(thm)],[562])).
% 8.47/8.64 tff(922,plain,
% 8.47/8.64 (inverse(multiply(sk_c3, sk_c6)) = multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.64 inference(transitivity,[status(thm)],[605, 921, 920])).
% 8.47/8.64 tff(923,plain,
% 8.47/8.65 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[922, 632])).
% 8.47/8.65 tff(924,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c6) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(925,plain,
% 8.47/8.65 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c6) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[924, 21])).
% 8.47/8.65 tff(926,plain,
% 8.47/8.65 (multiply(identity, sk_c6) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.47/8.65 inference(monotonicity,[status(thm)],[75])).
% 8.47/8.65 tff(927,plain,
% 8.47/8.65 (sk_c6 = sk_c5),
% 8.47/8.65 inference(transitivity,[status(thm)],[54, 926, 925, 923, 918, 916, 574, 571, 566, 316, 314, 312, 310, 3])).
% 8.47/8.65 tff(928,plain,
% 8.47/8.65 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[562])).
% 8.47/8.65 tff(929,plain,
% 8.47/8.65 (multiply(sk_c3, identity) = multiply(multiply(sk_c3, sk_c6), sk_c3)),
% 8.47/8.65 inference(transitivity,[status(thm)],[928, 117])).
% 8.47/8.65 tff(930,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, identity), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), sk_c6)),
% 8.47/8.65 inference(monotonicity,[status(thm)],[929])).
% 8.47/8.65 tff(931,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), sk_c6) = multiply(multiply(sk_c3, identity), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[930])).
% 8.47/8.65 tff(932,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(933,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c6))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[932, 21])).
% 8.47/8.65 tff(934,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[933])).
% 8.47/8.65 tff(935,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, identity), sk_c6) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[700])).
% 8.47/8.65 tff(936,plain,
% 8.47/8.65 (multiply(sk_c3, multiply(identity, sk_c6)) = multiply(multiply(sk_c3, identity), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[695])).
% 8.47/8.65 tff(937,plain,
% 8.47/8.65 (multiply(sk_c3, sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(transitivity,[status(thm)],[692, 936, 935, 702])).
% 8.47/8.65 tff(938,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[937, 937])).
% 8.47/8.65 tff(939,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, sk_c6))),
% 8.47/8.65 inference(symmetry,[status(thm)],[938])).
% 8.47/8.65 tff(940,plain,
% 8.47/8.65 (sk_c7 = multiply(sk_c3, sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[914])).
% 8.47/8.65 tff(941,plain,
% 8.47/8.65 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(transitivity,[status(thm)],[602, 599, 577, 580, 582, 307, 940, 692, 936, 935, 702])).
% 8.47/8.65 tff(942,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[937, 941])).
% 8.47/8.65 tff(943,plain,
% 8.47/8.65 (multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[691])).
% 8.47/8.65 tff(944,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[571])).
% 8.47/8.65 tff(945,plain,
% 8.47/8.65 (sk_c5 = multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.65 inference(transitivity,[status(thm)],[106, 309, 318, 313, 685, 565, 944, 573, 671])).
% 8.47/8.65 tff(946,plain,
% 8.47/8.65 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[945])).
% 8.47/8.65 tff(947,plain,
% 8.47/8.65 (multiply(sk_c3, sk_c5) = multiply(sk_c3, sk_c6)),
% 8.47/8.65 inference(transitivity,[status(thm)],[946, 943, 942, 939, 934, 931, 695, 693])).
% 8.47/8.65 tff(948,plain,
% 8.47/8.65 ((multiply(sk_c3, sk_c5) = sk_c6) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 8.47/8.65 inference(monotonicity,[status(thm)],[947, 927])).
% 8.47/8.65 tff(949,plain,
% 8.47/8.65 ((~(multiply(sk_c3, sk_c5) = sk_c6)) <=> (~(multiply(sk_c3, sk_c6) = sk_c5))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[948])).
% 8.47/8.65 tff(950,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(951,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[950, 21])).
% 8.47/8.65 tff(952,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6))),
% 8.47/8.65 inference(symmetry,[status(thm)],[951])).
% 8.47/8.65 tff(953,plain,
% 8.47/8.65 (multiply(sk_c7, sk_c3) = multiply(multiply(sk_c1, sk_c6), sk_c3)),
% 8.47/8.65 inference(monotonicity,[status(thm)],[308])).
% 8.47/8.65 tff(954,plain,
% 8.47/8.65 (multiply(multiply(sk_c1, sk_c6), sk_c3) = multiply(sk_c7, sk_c3)),
% 8.47/8.65 inference(symmetry,[status(thm)],[953])).
% 8.47/8.65 tff(955,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c6), sk_c3) = multiply(sk_c1, multiply(sk_c6, sk_c3)))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(956,plain,
% 8.47/8.65 (multiply(multiply(sk_c1, sk_c6), sk_c3) = multiply(sk_c1, multiply(sk_c6, sk_c3))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[955, 21])).
% 8.47/8.65 tff(957,plain,
% 8.47/8.65 (multiply(sk_c1, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c1, sk_c6), sk_c3)),
% 8.47/8.65 inference(symmetry,[status(thm)],[956])).
% 8.47/8.65 tff(958,plain,
% 8.47/8.65 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)) = multiply(sk_c7, sk_c3)),
% 8.47/8.65 inference(transitivity,[status(thm)],[597, 595, 957, 954])).
% 8.47/8.65 tff(959,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[958])).
% 8.47/8.65 tff(960,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[959])).
% 8.47/8.65 tff(961,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6))),
% 8.47/8.65 inference(transitivity,[status(thm)],[960, 952])).
% 8.47/8.65 tff(962,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.47/8.65 inference(monotonicity,[status(thm)],[961])).
% 8.47/8.65 tff(963,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[962])).
% 8.47/8.65 tff(964,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(965,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[964, 21])).
% 8.47/8.65 tff(966,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[965])).
% 8.47/8.65 tff(967,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, sk_c1), identity), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[564])).
% 8.47/8.65 tff(968,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c1), identity), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, sk_c1), multiply(identity, inverse(multiply(sk_c3, sk_c6)))))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(969,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, sk_c1), identity), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, sk_c1), multiply(identity, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[968, 21])).
% 8.47/8.65 tff(970,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, sk_c1), multiply(identity, inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(multiply(sk_c6, sk_c1), identity), inverse(multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[969])).
% 8.47/8.65 tff(971,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, sk_c1), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, sk_c1), multiply(identity, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[605])).
% 8.47/8.65 tff(972,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(973,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, sk_c1), inverse(multiply(sk_c3, sk_c6))) = multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[972, 21])).
% 8.47/8.65 tff(974,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(sk_c6, sk_c1), inverse(multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[973])).
% 8.47/8.65 tff(975,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(transitivity,[status(thm)],[974, 971, 970, 967])).
% 8.47/8.65 tff(976,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[975])).
% 8.47/8.65 tff(977,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(symmetry,[status(thm)],[976])).
% 8.47/8.65 tff(978,plain,
% 8.47/8.65 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(979,plain,
% 8.47/8.65 (multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[978, 51])).
% 8.47/8.65 tff(980,plain,
% 8.47/8.65 (multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3) = multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.47/8.65 inference(symmetry,[status(thm)],[979])).
% 8.47/8.65 tff(981,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, sk_c1), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[980])).
% 8.47/8.65 tff(982,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, sk_c1), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.47/8.65 inference(symmetry,[status(thm)],[981])).
% 8.47/8.65 tff(983,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c1), identity), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, sk_c1), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(984,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, sk_c1), identity), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, sk_c1), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[983, 21])).
% 8.47/8.65 tff(985,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, sk_c1), identity), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[564, 980])).
% 8.47/8.65 tff(986,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(multiply(sk_c6, sk_c1), identity), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.47/8.65 inference(symmetry,[status(thm)],[985])).
% 8.47/8.65 tff(987,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[979])).
% 8.47/8.65 tff(988,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[987])).
% 8.47/8.65 tff(989,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.47/8.65 inference(transitivity,[status(thm)],[988, 986, 984, 982])).
% 8.47/8.65 tff(990,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[989])).
% 8.47/8.65 tff(991,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(symmetry,[status(thm)],[990])).
% 8.47/8.65 tff(992,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(993,plain,
% 8.47/8.65 (multiply(multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[992, 21])).
% 8.47/8.65 tff(994,plain,
% 8.47/8.65 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6) = multiply(sk_c6, sk_c3)),
% 8.47/8.65 inference(transitivity,[status(thm)],[71, 74, 42, 561])).
% 8.47/8.65 tff(995,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, sk_c1), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(sk_c6, sk_c1), multiply(sk_c6, sk_c3))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[994])).
% 8.47/8.65 tff(996,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c1), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(997,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c1), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[996, 21])).
% 8.47/8.65 tff(998,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.47/8.65 inference(transitivity,[status(thm)],[997, 995, 324, 321, 317, 111])).
% 8.47/8.65 tff(999,plain,
% 8.47/8.65 (multiply(multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[998])).
% 8.47/8.65 tff(1000,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, sk_c1), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), inverse(multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[999])).
% 8.47/8.65 tff(1001,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))))),
% 8.47/8.65 inference(transitivity,[status(thm)],[1000, 993, 991])).
% 8.47/8.65 tff(1002,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[1001, 632])).
% 8.47/8.65 tff(1003,plain,
% 8.47/8.65 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(symmetry,[status(thm)],[1002])).
% 8.47/8.65 tff(1004,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(1005,plain,
% 8.47/8.65 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[1004, 21])).
% 8.47/8.65 tff(1006,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[1005])).
% 8.47/8.65 tff(1007,plain,
% 8.47/8.65 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c6) = multiply(identity, sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[926])).
% 8.47/8.65 tff(1008,plain,
% 8.47/8.65 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[925])).
% 8.47/8.65 tff(1009,plain,
% 8.47/8.65 (multiply(multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(symmetry,[status(thm)],[923])).
% 8.47/8.65 tff(1010,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))) = multiply(multiply(sk_c6, multiply(sk_c3, inverse(multiply(sk_c3, sk_c6)))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[918])).
% 8.47/8.65 tff(1011,plain,
% 8.47/8.65 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.47/8.65 inference(symmetry,[status(thm)],[698])).
% 8.47/8.65 tff(1012,plain,
% 8.47/8.65 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.47/8.65 inference(symmetry,[status(thm)],[696])).
% 8.47/8.65 tff(1013,plain,
% 8.47/8.65 (multiply(sk_c3, identity) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.47/8.65 inference(transitivity,[status(thm)],[1012, 1011])).
% 8.47/8.65 tff(1014,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, identity), sk_c6) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.47/8.65 inference(monotonicity,[status(thm)],[1013])).
% 8.47/8.65 tff(1015,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6) = multiply(multiply(sk_c3, identity), sk_c6)),
% 8.47/8.65 inference(symmetry,[status(thm)],[1014])).
% 8.47/8.65 tff(1016,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[632])).
% 8.47/8.65 tff(1017,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.47/8.65 inference(symmetry,[status(thm)],[1016])).
% 8.47/8.65 tff(1018,plain,
% 8.47/8.65 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)),
% 8.47/8.65 inference(transitivity,[status(thm)],[1017, 703, 1015, 695, 693, 914, 308, 583, 581, 578])).
% 8.47/8.65 tff(1019,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[1018])).
% 8.47/8.65 tff(1020,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.47/8.65 inference(symmetry,[status(thm)],[1019])).
% 8.47/8.65 tff(1021,plain,
% 8.47/8.65 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)) = sk_c6),
% 8.47/8.65 inference(transitivity,[status(thm)],[1020, 1010, 1009, 1008, 1007, 53])).
% 8.47/8.65 tff(1022,plain,
% 8.47/8.65 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.47/8.65 inference(monotonicity,[status(thm)],[562])).
% 8.47/8.65 tff(1023,plain,
% 8.47/8.65 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)),
% 8.47/8.65 inference(symmetry,[status(thm)],[1022])).
% 8.47/8.65 tff(1024,plain,
% 8.47/8.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.47/8.65 inference(quant_inst,[status(thm)],[])).
% 8.47/8.65 tff(1025,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.47/8.65 inference(unit_resolution,[status(thm)],[1024, 21])).
% 8.47/8.65 tff(1026,plain,
% 8.47/8.65 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.47/8.65 inference(transitivity,[status(thm)],[577, 580, 582, 307, 940, 692, 936, 1014, 702, 1016])).
% 8.47/8.65 tff(1027,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6), sk_c3) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3)),
% 8.47/8.65 inference(monotonicity,[status(thm)],[1026])).
% 8.47/8.65 tff(1028,plain,
% 8.47/8.65 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6), sk_c3)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1027])).
% 8.50/8.66 tff(1029,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1030,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1029, 21])).
% 8.50/8.66 tff(1031,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1030])).
% 8.50/8.66 tff(1032,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[831])).
% 8.50/8.66 tff(1033,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1032])).
% 8.50/8.66 tff(1034,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity)))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1035,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1034, 21])).
% 8.50/8.66 tff(1036,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity) = multiply(multiply(sk_c3, identity), identity)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[699])).
% 8.50/8.66 tff(1037,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, identity), identity) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1036])).
% 8.50/8.66 tff(1038,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), identity) = multiply(sk_c3, multiply(identity, identity)))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1039,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, identity), identity) = multiply(sk_c3, multiply(identity, identity))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1038, 21])).
% 8.50/8.66 tff(1040,plain,
% 8.50/8.66 (multiply(sk_c3, multiply(identity, identity)) = multiply(multiply(sk_c3, identity), identity)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1039])).
% 8.50/8.66 tff(1041,plain,
% 8.50/8.66 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(identity, identity))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[744])).
% 8.50/8.66 tff(1042,plain,
% 8.50/8.66 (multiply(sk_c3, identity) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)),
% 8.50/8.66 inference(transitivity,[status(thm)],[1041, 1040, 1037, 1035, 1033, 1031, 1028, 1025, 1023])).
% 8.50/8.66 tff(1043,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c3, identity)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1042])).
% 8.50/8.66 tff(1044,plain,
% 8.50/8.66 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c5, multiply(sk_c3, sk_c4))) = identity)),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1045,plain,
% 8.50/8.66 (multiply(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c5, multiply(sk_c3, sk_c4))) = identity),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1044, 39])).
% 8.50/8.66 tff(1046,plain,
% 8.50/8.66 (multiply(identity, sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[562])).
% 8.50/8.66 tff(1047,plain,
% 8.50/8.66 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(identity, sk_c4)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1046])).
% 8.50/8.66 tff(1048,plain,
% 8.50/8.66 (sk_c4 = multiply(identity, sk_c4)),
% 8.50/8.66 inference(symmetry,[status(thm)],[66])).
% 8.50/8.66 tff(1049,plain,
% 8.50/8.66 (sk_c4 = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(transitivity,[status(thm)],[1048, 1046, 190])).
% 8.50/8.66 tff(1050,plain,
% 8.50/8.66 (multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.50/8.66 inference(symmetry,[status(thm)],[597])).
% 8.50/8.66 tff(1051,plain,
% 8.50/8.66 (multiply(sk_c1, multiply(sk_c6, sk_c3)) = multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.50/8.66 inference(symmetry,[status(thm)],[595])).
% 8.50/8.66 tff(1052,plain,
% 8.50/8.66 (multiply(sk_c7, sk_c3) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.50/8.66 inference(transitivity,[status(thm)],[953, 956, 1051, 1050])).
% 8.50/8.66 tff(1053,plain,
% 8.50/8.66 (multiply(multiply(sk_c7, sk_c3), sk_c4) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1052, 1049])).
% 8.50/8.66 tff(1054,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c7, sk_c3), sk_c4)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1053])).
% 8.50/8.66 tff(1055,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1056,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1055, 21])).
% 8.50/8.66 tff(1057,plain,
% 8.50/8.66 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1056])).
% 8.50/8.66 tff(1058,plain,
% 8.50/8.66 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[594])).
% 8.50/8.66 tff(1059,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c4) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1060,plain,
% 8.50/8.66 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c4) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1059, 21])).
% 8.50/8.66 tff(1061,plain,
% 8.50/8.66 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), sk_c4)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1060])).
% 8.50/8.66 tff(1062,plain,
% 8.50/8.66 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)) = sk_c4),
% 8.50/8.66 inference(transitivity,[status(thm)],[1061, 1058, 1047, 66])).
% 8.50/8.66 tff(1063,plain,
% 8.50/8.66 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))) = multiply(sk_c3, sk_c4)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1062])).
% 8.50/8.66 tff(1064,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1063])).
% 8.50/8.66 tff(1065,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, sk_c4)) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1064])).
% 8.50/8.66 tff(1066,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1067,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1066, 21])).
% 8.50/8.66 tff(1068,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1067])).
% 8.50/8.66 tff(1069,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))),
% 8.50/8.66 inference(transitivity,[status(thm)],[1068, 1065])).
% 8.50/8.66 tff(1070,plain,
% 8.50/8.66 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1069])).
% 8.50/8.66 tff(1071,plain,
% 8.50/8.66 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1070])).
% 8.50/8.66 tff(1072,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1073,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1072, 21])).
% 8.50/8.66 tff(1074,plain,
% 8.50/8.66 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.50/8.66 inference(transitivity,[status(thm)],[602, 599, 577, 580, 582, 307, 940, 692, 936, 1014, 702])).
% 8.50/8.66 tff(1075,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1074])).
% 8.50/8.66 tff(1076,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1075])).
% 8.50/8.66 tff(1077,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1078,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1077, 21])).
% 8.50/8.66 tff(1079,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1078])).
% 8.50/8.66 tff(1080,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, sk_c6), sk_c4) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1049])).
% 8.50/8.66 tff(1081,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c6), sk_c4)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1080])).
% 8.50/8.66 tff(1082,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))) = multiply(multiply(sk_c3, sk_c6), sk_c4)),
% 8.50/8.66 inference(transitivity,[status(thm)],[1064, 1067, 1081])).
% 8.50/8.66 tff(1083,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1082])).
% 8.50/8.66 tff(1084,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1083])).
% 8.50/8.66 tff(1085,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4)) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1086,plain,
% 8.50/8.66 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4)) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1085, 21])).
% 8.50/8.66 tff(1087,plain,
% 8.50/8.66 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1086])).
% 8.50/8.66 tff(1088,plain,
% 8.50/8.66 (multiply(sk_c3, sk_c4) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1063])).
% 8.50/8.66 tff(1089,plain,
% 8.50/8.66 (multiply(sk_c3, sk_c4) = multiply(sk_c7, multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(transitivity,[status(thm)],[1088, 1087, 1084, 1079, 1076, 1073, 1071, 1057, 1054, 144])).
% 8.50/8.66 tff(1090,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1089])).
% 8.50/8.66 tff(1091,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1090])).
% 8.50/8.66 tff(1092,plain,
% 8.50/8.66 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, sk_c4)) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[3])).
% 8.50/8.66 tff(1093,plain,
% 8.50/8.66 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1092])).
% 8.50/8.66 tff(1094,plain,
% 8.50/8.66 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = sk_c4),
% 8.50/8.66 inference(transitivity,[status(thm)],[1093, 208, 1091, 191, 1047, 66])).
% 8.50/8.66 tff(1095,plain,
% 8.50/8.66 (inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = inverse(sk_c4)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1094])).
% 8.50/8.66 tff(1096,plain,
% 8.50/8.66 (inverse(sk_c4) = inverse(multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1095])).
% 8.50/8.66 tff(1097,assumption,(~(inverse(sk_c1) = sk_c7)), introduced(assumption)).
% 8.50/8.66 tff(1098,plain,
% 8.50/8.66 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c5))),
% 8.50/8.66 inference(rewrite,[status(thm)],[])).
% 8.50/8.66 tff(1099,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 8.50/8.66 tff(1100,plain,
% 8.50/8.66 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c5)),
% 8.50/8.66 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 8.50/8.66 tff(1101,plain,
% 8.50/8.66 (inverse(sk_c4) = sk_c5),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1100, 1097])).
% 8.50/8.66 tff(1102,plain,
% 8.50/8.66 (sk_c5 = inverse(sk_c4)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1101])).
% 8.50/8.66 tff(1103,plain,
% 8.50/8.66 (sk_c6 = inverse(multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(transitivity,[status(thm)],[54, 926, 925, 923, 918, 1019, 574, 571, 566, 316, 314, 312, 310, 3, 1102, 1096])).
% 8.50/8.66 tff(1104,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1103])).
% 8.50/8.66 tff(1105,plain,
% 8.50/8.66 (sk_c4 = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 8.50/8.66 inference(transitivity,[status(thm)],[1048, 1046, 190, 1090, 214, 1092])).
% 8.50/8.66 tff(1106,plain,
% 8.50/8.66 (multiply(sk_c6, sk_c4) = multiply(sk_c6, multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1105])).
% 8.50/8.66 tff(1107,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = sk_c4),
% 8.50/8.66 inference(transitivity,[status(thm)],[191, 1047, 66])).
% 8.50/8.66 tff(1108,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, sk_c4)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1107])).
% 8.50/8.66 tff(1109,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 8.50/8.66 inference(transitivity,[status(thm)],[1108, 1106, 1104, 1045, 744, 891, 890, 1043, 844, 841, 872, 866, 871, 324, 321, 317, 111])).
% 8.50/8.66 tff(1110,plain,
% 8.50/8.66 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1109, 1021])).
% 8.50/8.66 tff(1111,plain,
% 8.50/8.66 (multiply(sk_c6, sk_c4) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1108])).
% 8.50/8.66 tff(1112,plain,
% 8.50/8.66 (multiply(sk_c6, multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c6, sk_c4)),
% 8.50/8.66 inference(symmetry,[status(thm)],[1106])).
% 8.50/8.66 tff(1113,plain,
% 8.50/8.66 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1021])).
% 8.50/8.66 tff(1114,plain,
% 8.50/8.66 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.66 inference(transitivity,[status(thm)],[1113, 1112, 1111])).
% 8.50/8.66 tff(1115,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1114])).
% 8.50/8.66 tff(1116,plain,
% 8.50/8.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))))),
% 8.50/8.66 inference(quant_inst,[status(thm)],[])).
% 8.50/8.66 tff(1117,plain,
% 8.50/8.66 (multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))))),
% 8.50/8.66 inference(unit_resolution,[status(thm)],[1116, 21])).
% 8.50/8.66 tff(1118,plain,
% 8.50/8.66 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))) = multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1117])).
% 8.50/8.66 tff(1119,plain,
% 8.50/8.66 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(sk_c4, sk_c6)),
% 8.50/8.66 inference(monotonicity,[status(thm)],[1094, 1021])).
% 8.50/8.66 tff(1120,plain,
% 8.50/8.66 (multiply(sk_c4, sk_c6) = multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.50/8.66 inference(symmetry,[status(thm)],[1119])).
% 8.50/8.66 tff(1121,plain,
% 8.50/8.66 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5))),
% 8.50/8.67 inference(rewrite,[status(thm)],[])).
% 8.50/8.67 tff(1122,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 8.50/8.67 tff(1123,plain,
% 8.50/8.67 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c6) = sk_c5)),
% 8.50/8.67 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 8.50/8.67 tff(1124,plain,
% 8.50/8.67 (multiply(sk_c4, sk_c6) = sk_c5),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1123, 1097])).
% 8.50/8.67 tff(1125,plain,
% 8.50/8.67 (sk_c5 = multiply(sk_c4, sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1124])).
% 8.50/8.67 tff(1126,plain,
% 8.50/8.67 (sk_c6 = multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.50/8.67 inference(transitivity,[status(thm)],[54, 926, 925, 923, 918, 1019, 574, 571, 566, 316, 314, 312, 310, 3, 1125, 1120])).
% 8.50/8.67 tff(1127,plain,
% 8.50/8.67 (sk_c6 = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))),
% 8.50/8.67 inference(transitivity,[status(thm)],[54, 926, 925, 923, 918, 1019])).
% 8.50/8.67 tff(1128,plain,
% 8.50/8.67 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1127, 1126])).
% 8.50/8.67 tff(1129,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[641])).
% 8.50/8.67 tff(1130,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = sk_c6),
% 8.50/8.67 inference(transitivity,[status(thm)],[638, 1129, 646, 649, 651, 1128, 1118, 1115, 1110, 944, 573, 1020, 1010, 1009, 1008, 1007, 53])).
% 8.50/8.67 tff(1131,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1130])).
% 8.50/8.67 tff(1132,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1131])).
% 8.50/8.67 tff(1133,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[723])).
% 8.50/8.67 tff(1134,plain,
% 8.50/8.67 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1133])).
% 8.50/8.67 tff(1135,plain,
% 8.50/8.67 (sk_c6 = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 8.50/8.67 inference(transitivity,[status(thm)],[54, 1134, 23])).
% 8.50/8.67 tff(1136,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1135])).
% 8.50/8.67 tff(1137,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1136])).
% 8.50/8.67 tff(1138,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c3, sk_c6))))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1139,plain,
% 8.50/8.67 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1138, 21])).
% 8.50/8.67 tff(1140,plain,
% 8.50/8.67 (multiply(sk_c3, sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.50/8.67 inference(transitivity,[status(thm)],[692, 936, 1014, 702])).
% 8.50/8.67 tff(1141,plain,
% 8.50/8.67 (multiply(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1104])).
% 8.50/8.67 tff(1142,plain,
% 8.50/8.67 (identity = multiply(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1045])).
% 8.50/8.67 tff(1143,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, sk_c3), identity) = multiply(identity, identity)),
% 8.50/8.67 inference(symmetry,[status(thm)],[891])).
% 8.50/8.67 tff(1144,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c3, identity)) = multiply(multiply(sk_c6, sk_c3), identity)),
% 8.50/8.67 inference(symmetry,[status(thm)],[890])).
% 8.50/8.67 tff(1145,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)) = multiply(sk_c6, multiply(sk_c3, identity))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1043])).
% 8.50/8.67 tff(1146,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(sk_c6, sk_c3))), identity)),
% 8.50/8.67 inference(symmetry,[status(thm)],[841])).
% 8.50/8.67 tff(1147,plain,
% 8.50/8.67 (identity = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)),
% 8.50/8.67 inference(transitivity,[status(thm)],[75, 72])).
% 8.50/8.67 tff(1148,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1147])).
% 8.50/8.67 tff(1149,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1148])).
% 8.50/8.67 tff(1150,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1151,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1150, 21])).
% 8.50/8.67 tff(1152,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.67 inference(transitivity,[status(thm)],[1151, 1149, 1146, 843, 1145, 1144, 1143, 743, 1142, 1141, 1112, 1111])).
% 8.50/8.67 tff(1153,plain,
% 8.50/8.67 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1152, 1140])).
% 8.50/8.67 tff(1154,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), multiply(sk_c3, sk_c6))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1153])).
% 8.50/8.67 tff(1155,plain,
% 8.50/8.67 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(sk_c3, sk_c6)),
% 8.50/8.67 inference(transitivity,[status(thm)],[703, 1015, 695, 693])).
% 8.50/8.67 tff(1156,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1155])).
% 8.50/8.67 tff(1157,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1156])).
% 8.50/8.67 tff(1158,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1159,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1158, 21])).
% 8.50/8.67 tff(1160,plain,
% 8.50/8.67 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c4, sk_c3)) = multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1161,plain,
% 8.50/8.67 (multiply(identity, multiply(sk_c4, sk_c3)) = multiply(sk_c4, sk_c3)),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1160, 51])).
% 8.50/8.67 tff(1162,plain,
% 8.50/8.67 (multiply(identity, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[562])).
% 8.50/8.67 tff(1163,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, sk_c3)) = multiply(identity, multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1162])).
% 8.50/8.67 tff(1164,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, sk_c3)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1165,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, sk_c3)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1164, 21])).
% 8.50/8.67 tff(1166,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1165])).
% 8.50/8.67 tff(1167,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(sk_c4, sk_c3)),
% 8.50/8.67 inference(transitivity,[status(thm)],[1166, 1163, 1161])).
% 8.50/8.67 tff(1168,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))) = multiply(sk_c6, multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1167])).
% 8.50/8.67 tff(1169,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c4, sk_c3)) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1168])).
% 8.50/8.67 tff(1170,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), sk_c3)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1171,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), sk_c3))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1170, 21])).
% 8.50/8.67 tff(1172,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1171])).
% 8.50/8.67 tff(1173,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), sk_c3) = multiply(sk_c3, multiply(sk_c4, sk_c3)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1174,plain,
% 8.50/8.67 (multiply(multiply(sk_c3, sk_c4), sk_c3) = multiply(sk_c3, multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1173, 21])).
% 8.50/8.67 tff(1175,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), sk_c3)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1174])).
% 8.50/8.67 tff(1176,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), sk_c3))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1175])).
% 8.50/8.67 tff(1177,plain,
% 8.50/8.67 (multiply(sk_c4, sk_c3) = multiply(identity, multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1161])).
% 8.50/8.67 tff(1178,plain,
% 8.50/8.67 (multiply(sk_c4, sk_c3) = multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3)),
% 8.50/8.67 inference(transitivity,[status(thm)],[1177, 1162, 1165, 1176, 1172])).
% 8.50/8.67 tff(1179,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c4, sk_c3)) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1178])).
% 8.50/8.67 tff(1180,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3)) = multiply(sk_c6, multiply(sk_c4, sk_c3))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1179])).
% 8.50/8.67 tff(1181,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1182,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1181, 21])).
% 8.50/8.67 tff(1183,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))))),
% 8.50/8.67 inference(transitivity,[status(thm)],[1182, 1180, 1169])).
% 8.50/8.67 tff(1184,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1183])).
% 8.50/8.67 tff(1185,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1184])).
% 8.50/8.67 tff(1186,plain,
% 8.50/8.67 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[979])).
% 8.50/8.67 tff(1187,plain,
% 8.50/8.67 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1186])).
% 8.50/8.67 tff(1188,plain,
% 8.50/8.67 (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6) = multiply(identity, sk_c6)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[798])).
% 8.50/8.67 tff(1189,plain,
% 8.50/8.67 (multiply(identity, sk_c6) = multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1188])).
% 8.50/8.67 tff(1190,plain,
% 8.50/8.67 (sk_c6 = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))),
% 8.50/8.67 inference(transitivity,[status(thm)],[54, 1189, 80, 1187])).
% 8.50/8.67 tff(1191,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1190])).
% 8.50/8.67 tff(1192,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1191])).
% 8.50/8.67 tff(1193,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1194,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1193, 21])).
% 8.50/8.67 tff(1195,plain,
% 8.50/8.67 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.50/8.67 inference(transitivity,[status(thm)],[652, 650, 647, 641])).
% 8.50/8.67 tff(1196,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1195])).
% 8.50/8.67 tff(1197,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1196])).
% 8.50/8.67 tff(1198,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = sk_c6),
% 8.50/8.67 inference(transitivity,[status(thm)],[1129, 646, 649, 651, 1128, 1118, 1115, 1110, 944, 573, 1020, 1010, 1009, 1008, 1007, 53])).
% 8.50/8.67 tff(1199,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1198])).
% 8.50/8.67 tff(1200,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1199])).
% 8.50/8.67 tff(1201,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1202,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1201, 21])).
% 8.50/8.67 tff(1203,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1202])).
% 8.50/8.67 tff(1204,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[809])).
% 8.50/8.67 tff(1205,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1204])).
% 8.50/8.67 tff(1206,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1207,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1206, 21])).
% 8.50/8.67 tff(1208,plain,
% 8.50/8.67 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3)))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1207])).
% 8.50/8.67 tff(1209,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity) = multiply(multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1208])).
% 8.50/8.67 tff(1210,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1209])).
% 8.50/8.67 tff(1211,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity) = multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1212,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity) = multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1211, 21])).
% 8.50/8.67 tff(1213,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)) = multiply(multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity)),
% 8.50/8.67 inference(symmetry,[status(thm)],[1212])).
% 8.50/8.67 tff(1214,plain,
% 8.50/8.67 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)),
% 8.50/8.67 inference(monotonicity,[status(thm)],[723])).
% 8.50/8.67 tff(1215,plain,
% 8.50/8.67 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1214])).
% 8.50/8.67 tff(1216,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1195, 1215])).
% 8.50/8.67 tff(1217,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1216])).
% 8.50/8.67 tff(1218,plain,
% 8.50/8.67 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.50/8.67 inference(transitivity,[status(thm)],[1129, 646, 649, 651, 1128, 1118, 1115, 1110])).
% 8.50/8.67 tff(1219,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity))),
% 8.50/8.67 inference(monotonicity,[status(thm)],[1218, 1214])).
% 8.50/8.67 tff(1220,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.50/8.67 inference(symmetry,[status(thm)],[1219])).
% 8.50/8.67 tff(1221,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1222,plain,
% 8.50/8.67 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1221, 21])).
% 8.50/8.67 tff(1223,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c3) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1224,plain,
% 8.50/8.67 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c3) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1223, 21])).
% 8.50/8.67 tff(1225,plain,
% 8.50/8.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), sk_c4) = multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 8.50/8.67 inference(quant_inst,[status(thm)],[])).
% 8.50/8.67 tff(1226,plain,
% 8.50/8.67 (multiply(multiply(sk_c5, sk_c3), sk_c4) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 8.50/8.67 inference(unit_resolution,[status(thm)],[1225, 21])).
% 8.50/8.67 tff(1227,plain,
% 8.50/8.67 (multiply(multiply(multiply(sk_c5, sk_c3), sk_c4), sk_c3) = multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c3)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1226])).
% 8.50/8.68 tff(1228,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c3), sk_c4), sk_c3) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c4, sk_c3)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1229,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, sk_c3), sk_c4), sk_c3) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c4, sk_c3))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1228, 21])).
% 8.50/8.68 tff(1230,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, sk_c3), multiply(sk_c4, sk_c3)) = multiply(multiply(multiply(sk_c5, sk_c3), sk_c4), sk_c3)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1229])).
% 8.50/8.68 tff(1231,plain,
% 8.50/8.68 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c5, sk_c3)),
% 8.50/8.68 inference(transitivity,[status(thm)],[112, 109])).
% 8.50/8.68 tff(1232,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c4, sk_c3))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1231, 1167])).
% 8.50/8.68 tff(1233,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1234,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1233, 21])).
% 8.50/8.68 tff(1235,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3))),
% 8.50/8.68 inference(transitivity,[status(thm)],[1234, 1232, 1230, 1227, 1224])).
% 8.50/8.68 tff(1236,plain,
% 8.50/8.68 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1235])).
% 8.50/8.68 tff(1237,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1236])).
% 8.50/8.68 tff(1238,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(identity, identity))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[744])).
% 8.50/8.68 tff(1239,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(identity, identity)) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1238])).
% 8.50/8.68 tff(1240,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity), identity) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(identity, identity)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1241,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity), identity) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(identity, identity))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1240, 21])).
% 8.50/8.68 tff(1242,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1243,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1242, 21])).
% 8.50/8.68 tff(1244,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1243])).
% 8.50/8.68 tff(1245,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[798])).
% 8.50/8.68 tff(1246,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.68 inference(symmetry,[status(thm)],[1245])).
% 8.50/8.68 tff(1247,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.68 inference(transitivity,[status(thm)],[1246, 1244])).
% 8.50/8.68 tff(1248,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity), identity) = multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1247])).
% 8.50/8.68 tff(1249,plain,
% 8.50/8.68 (multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity), identity)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1248])).
% 8.50/8.68 tff(1250,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1251,plain,
% 8.50/8.68 (multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1250, 21])).
% 8.50/8.68 tff(1252,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity)) = multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1251])).
% 8.50/8.68 tff(1253,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[723])).
% 8.50/8.68 tff(1254,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.50/8.68 inference(transitivity,[status(thm)],[638, 1129, 646, 649, 651, 1128, 1118, 1115, 1110])).
% 8.50/8.68 tff(1255,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), sk_c3)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1254])).
% 8.50/8.68 tff(1256,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3)),
% 8.50/8.68 inference(symmetry,[status(thm)],[834])).
% 8.50/8.68 tff(1257,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), sk_c3) = multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)),
% 8.50/8.68 inference(symmetry,[status(thm)],[830])).
% 8.50/8.68 tff(1258,plain,
% 8.50/8.68 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), sk_c3)),
% 8.50/8.68 inference(symmetry,[status(thm)],[829])).
% 8.50/8.68 tff(1259,plain,
% 8.50/8.68 (multiply(multiply(sk_c3, sk_c6), identity) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, sk_c3))),
% 8.50/8.68 inference(symmetry,[status(thm)],[827])).
% 8.50/8.68 tff(1260,plain,
% 8.50/8.68 (multiply(multiply(sk_c3, sk_c6), identity) = multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)),
% 8.50/8.68 inference(transitivity,[status(thm)],[1259, 1258, 1257])).
% 8.50/8.68 tff(1261,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity)) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1260])).
% 8.50/8.68 tff(1262,plain,
% 8.50/8.68 (multiply(sk_c6, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6))) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.50/8.68 inference(symmetry,[status(thm)],[644])).
% 8.50/8.68 tff(1263,plain,
% 8.50/8.68 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)))),
% 8.50/8.68 inference(symmetry,[status(thm)],[642])).
% 8.50/8.68 tff(1264,plain,
% 8.50/8.68 (multiply(sk_c6, identity) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6))),
% 8.50/8.68 inference(transitivity,[status(thm)],[1263, 1262])).
% 8.50/8.68 tff(1265,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, identity), identity) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1264])).
% 8.50/8.68 tff(1266,plain,
% 8.50/8.68 (multiply(sk_c6, multiply(identity, identity)) = multiply(multiply(sk_c6, identity), identity)),
% 8.50/8.68 inference(symmetry,[status(thm)],[822])).
% 8.50/8.68 tff(1267,plain,
% 8.50/8.68 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(identity, identity))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[744])).
% 8.50/8.68 tff(1268,plain,
% 8.50/8.68 (multiply(sk_c6, identity) = multiply(sk_c6, sk_c4)),
% 8.50/8.68 inference(transitivity,[status(thm)],[1267, 1266, 1265, 825, 1261, 1256, 1255, 838, 1253, 1146, 843, 1145, 1144, 1143, 743, 1142, 1141, 1112])).
% 8.50/8.68 tff(1269,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity)) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1268])).
% 8.50/8.68 tff(1270,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity))),
% 8.50/8.68 inference(symmetry,[status(thm)],[1269])).
% 8.50/8.68 tff(1271,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1272,plain,
% 8.50/8.68 (multiply(multiply(identity, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1271, 21])).
% 8.50/8.68 tff(1273,plain,
% 8.50/8.68 (multiply(multiply(identity, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, sk_c4)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[53, 1107])).
% 8.50/8.68 tff(1274,plain,
% 8.50/8.68 (multiply(sk_c6, sk_c4) = multiply(multiply(identity, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.68 inference(symmetry,[status(thm)],[1273])).
% 8.50/8.68 tff(1275,plain,
% 8.50/8.68 (multiply(sk_c6, sk_c4) = multiply(identity, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.68 inference(transitivity,[status(thm)],[1274, 1272])).
% 8.50/8.68 tff(1276,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(identity, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1275])).
% 8.50/8.68 tff(1277,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(identity, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4))),
% 8.50/8.68 inference(symmetry,[status(thm)],[1276])).
% 8.50/8.68 tff(1278,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(identity, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1279,plain,
% 8.50/8.68 (multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(identity, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1278, 21])).
% 8.50/8.68 tff(1280,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1281,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1280, 21])).
% 8.50/8.68 tff(1282,plain,
% 8.50/8.68 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)) = multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1281])).
% 8.50/8.68 tff(1283,plain,
% 8.50/8.68 (multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1282])).
% 8.50/8.68 tff(1284,plain,
% 8.50/8.68 (multiply(sk_c5, multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4)) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.68 inference(symmetry,[status(thm)],[1283])).
% 8.50/8.68 tff(1285,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), sk_c4) = multiply(sk_c5, multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1286,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), sk_c4) = multiply(sk_c5, multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1285, 21])).
% 8.50/8.68 tff(1287,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c4) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1288,plain,
% 8.50/8.68 (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c4) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1287, 21])).
% 8.50/8.68 tff(1289,plain,
% 8.50/8.68 (multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[994])).
% 8.50/8.68 tff(1290,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c4)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1289])).
% 8.50/8.68 tff(1291,plain,
% 8.50/8.68 (sk_c4 = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))),
% 8.50/8.68 inference(transitivity,[status(thm)],[1048, 1046, 1290, 1288])).
% 8.50/8.68 tff(1292,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), sk_c4) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1291])).
% 8.50/8.68 tff(1293,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), sk_c4)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1292])).
% 8.50/8.68 tff(1294,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1295,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1294, 21])).
% 8.50/8.68 tff(1296,plain,
% 8.50/8.68 (multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(identity, identity)) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), identity), identity)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1241])).
% 8.50/8.68 tff(1297,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), multiply(sk_c3, multiply(sk_c4, sk_c3))), identity)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1222])).
% 8.50/8.68 tff(1298,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6))),
% 8.50/8.68 inference(symmetry,[status(thm)],[1194])).
% 8.50/8.68 tff(1299,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1159])).
% 8.50/8.68 tff(1300,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), multiply(sk_c3, sk_c6))),
% 8.50/8.68 inference(symmetry,[status(thm)],[1139])).
% 8.50/8.68 tff(1301,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1151])).
% 8.50/8.68 tff(1302,plain,
% 8.50/8.68 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.68 inference(transitivity,[status(thm)],[1108, 1106, 1104, 1045, 744, 891, 890, 1043, 844, 841, 1148, 1301, 1136, 1300, 1153, 1156, 1299, 1184, 1191, 1298, 1196, 1199, 1202, 1204, 1209, 1212, 1216, 1219, 1297, 1236, 1238, 1296, 1248, 1251, 1269, 1295, 1293, 1286, 1284, 186, 184])).
% 8.50/8.68 tff(1303,plain,
% 8.50/8.68 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1304,plain,
% 8.50/8.68 (multiply(identity, sk_c3) = sk_c3),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1303, 51])).
% 8.50/8.68 tff(1305,plain,
% 8.50/8.68 (identity = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.68 inference(transitivity,[status(thm)],[1142, 1141, 1112, 1111])).
% 8.50/8.68 tff(1306,plain,
% 8.50/8.68 (multiply(identity, sk_c3) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1305])).
% 8.50/8.68 tff(1307,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(identity, sk_c3)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1306])).
% 8.50/8.68 tff(1308,plain,
% 8.50/8.68 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)),
% 8.50/8.68 inference(transitivity,[status(thm)],[1108, 1106, 1104, 1045, 744, 891, 890, 1043, 844, 841, 1148, 1301, 1136, 1300, 1153, 1156, 1299, 1184])).
% 8.50/8.68 tff(1309,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6), sk_c3)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[1308])).
% 8.50/8.68 tff(1310,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1309])).
% 8.50/8.68 tff(1311,plain,
% 8.50/8.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(sk_c6, sk_c3)))),
% 8.50/8.68 inference(quant_inst,[status(thm)],[])).
% 8.50/8.68 tff(1312,plain,
% 8.50/8.68 (multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(sk_c6, sk_c3))),
% 8.50/8.68 inference(unit_resolution,[status(thm)],[1311, 21])).
% 8.50/8.68 tff(1313,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6), sk_c3)),
% 8.50/8.68 inference(symmetry,[status(thm)],[1312])).
% 8.50/8.68 tff(1314,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity)),
% 8.50/8.68 inference(monotonicity,[status(thm)],[723])).
% 8.50/8.68 tff(1315,plain,
% 8.50/8.68 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(sk_c6, sk_c3))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1314])).
% 8.50/8.69 tff(1316,plain,
% 8.50/8.69 (identity = multiply(sk_c6, sk_c4)),
% 8.50/8.69 inference(transitivity,[status(thm)],[1142, 1141, 1112])).
% 8.50/8.69 tff(1317,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1316])).
% 8.50/8.69 tff(1318,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity) = sk_c3),
% 8.50/8.69 inference(transitivity,[status(thm)],[1317, 1270, 1252, 1249, 1241, 1239, 1237, 1222, 1220, 1217, 1213, 1210, 1315, 1313, 1310, 1307, 1304])).
% 8.50/8.69 tff(1319,plain,
% 8.50/8.69 (multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1318, 1302])).
% 8.50/8.69 tff(1320,plain,
% 8.50/8.69 (multiply(sk_c3, multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))) = multiply(multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c3, sk_c4), sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), identity), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1319])).
% 8.50/8.69 tff(1321,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1322,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1321, 21])).
% 8.50/8.69 tff(1323,plain,
% 8.50/8.69 (multiply(identity, multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[562])).
% 8.50/8.69 tff(1324,plain,
% 8.50/8.69 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1323])).
% 8.50/8.69 tff(1325,plain,
% 8.50/8.69 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[594])).
% 8.50/8.69 tff(1326,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1327,plain,
% 8.50/8.69 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1326, 21])).
% 8.50/8.69 tff(1328,plain,
% 8.50/8.69 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1327])).
% 8.50/8.69 tff(1329,plain,
% 8.50/8.69 (multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(sk_c4, multiply(sk_c3, sk_c4))),
% 8.50/8.69 inference(transitivity,[status(thm)],[1328, 1325, 1324, 158])).
% 8.50/8.69 tff(1330,plain,
% 8.50/8.69 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1329])).
% 8.50/8.69 tff(1331,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1332,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1331, 21])).
% 8.50/8.69 tff(1333,plain,
% 8.50/8.69 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c4, multiply(sk_c3, sk_c4))),
% 8.50/8.69 inference(transitivity,[status(thm)],[165, 163, 1324, 158])).
% 8.50/8.69 tff(1334,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1333])).
% 8.50/8.69 tff(1335,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1336,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1335, 21])).
% 8.50/8.69 tff(1337,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(transitivity,[status(thm)],[1336, 1334])).
% 8.50/8.69 tff(1338,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1337])).
% 8.50/8.69 tff(1339,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1340,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1339, 21])).
% 8.50/8.69 tff(1341,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1074])).
% 8.50/8.69 tff(1342,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1343,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1342, 21])).
% 8.50/8.69 tff(1344,plain,
% 8.50/8.69 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1343])).
% 8.50/8.69 tff(1345,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1336])).
% 8.50/8.69 tff(1346,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1334])).
% 8.50/8.69 tff(1347,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(transitivity,[status(thm)],[1346, 1345])).
% 8.50/8.69 tff(1348,plain,
% 8.50/8.69 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1347])).
% 8.50/8.69 tff(1349,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1350,plain,
% 8.50/8.69 (multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1349, 21])).
% 8.50/8.69 tff(1351,plain,
% 8.50/8.69 (multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1350])).
% 8.50/8.69 tff(1352,plain,
% 8.50/8.69 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1325])).
% 8.50/8.69 tff(1353,plain,
% 8.50/8.69 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(transitivity,[status(thm)],[165, 163, 1352, 1327])).
% 8.50/8.69 tff(1354,plain,
% 8.50/8.69 (multiply(sk_c1, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(sk_c1, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1353])).
% 8.50/8.69 tff(1355,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c1, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1356,plain,
% 8.50/8.69 (multiply(multiply(sk_c1, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(sk_c1, multiply(sk_c6, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1355, 21])).
% 8.50/8.69 tff(1357,plain,
% 8.50/8.69 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c1, sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[308])).
% 8.50/8.69 tff(1358,plain,
% 8.50/8.69 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))),
% 8.50/8.69 inference(transitivity,[status(thm)],[1357, 1356, 1354, 1351, 1348, 1344, 1341, 1340, 1338, 1332, 1330, 153])).
% 8.50/8.69 tff(1359,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1140, 1358])).
% 8.50/8.69 tff(1360,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1359])).
% 8.50/8.69 tff(1361,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1340])).
% 8.50/8.69 tff(1362,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), sk_c6), multiply(multiply(sk_c3, sk_c4), multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1338])).
% 8.50/8.69 tff(1363,plain,
% 8.50/8.69 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4))))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1332])).
% 8.50/8.69 tff(1364,plain,
% 8.50/8.69 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c3, sk_c4))) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, multiply(sk_c3, sk_c4)))))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1330])).
% 8.50/8.69 tff(1365,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1174, 1291])).
% 8.50/8.69 tff(1366,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))) = multiply(multiply(multiply(sk_c3, sk_c4), sk_c3), sk_c4)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1365])).
% 8.50/8.69 tff(1367,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1368,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1367, 21])).
% 8.50/8.69 tff(1369,plain,
% 8.50/8.69 (multiply(sk_c6, multiply(identity, identity)) = multiply(sk_c6, identity)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1267])).
% 8.50/8.69 tff(1370,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity) = multiply(multiply(sk_c6, identity), identity)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1265])).
% 8.50/8.69 tff(1371,plain,
% 8.50/8.69 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, multiply(sk_c6, sk_c6)), sk_c3)) = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1261])).
% 8.50/8.69 tff(1372,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6), sk_c3) = multiply(multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1255])).
% 8.50/8.69 tff(1373,plain,
% 8.50/8.69 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), identity) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1253])).
% 8.50/8.69 tff(1374,plain,
% 8.50/8.69 (multiply(sk_c6, sk_c4) = multiply(sk_c6, identity)),
% 8.50/8.69 inference(transitivity,[status(thm)],[1106, 1104, 1045, 744, 891, 890, 1043, 844, 841, 1373, 839, 1372, 834, 1371, 826, 1370, 822, 1369])).
% 8.50/8.69 tff(1375,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1374])).
% 8.50/8.69 tff(1376,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1375])).
% 8.50/8.69 tff(1377,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity)))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1378,plain,
% 8.50/8.69 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, identity))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1377, 21])).
% 8.50/8.69 tff(1379,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1147])).
% 8.50/8.69 tff(1380,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1379])).
% 8.50/8.69 tff(1381,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1382,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1381, 21])).
% 8.50/8.69 tff(1383,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)),
% 8.50/8.69 inference(transitivity,[status(thm)],[1382, 1380])).
% 8.50/8.69 tff(1384,plain,
% 8.50/8.69 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), identity)),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1383])).
% 8.50/8.69 tff(1385,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), identity) = multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), identity)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1384])).
% 8.50/8.69 tff(1386,plain,
% 8.50/8.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, identity)))),
% 8.50/8.69 inference(quant_inst,[status(thm)],[])).
% 8.50/8.69 tff(1387,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, identity))),
% 8.50/8.69 inference(unit_resolution,[status(thm)],[1386, 21])).
% 8.50/8.69 tff(1388,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, identity)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), identity)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1387])).
% 8.50/8.69 tff(1389,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, identity)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity)),
% 8.50/8.69 inference(monotonicity,[status(thm)],[743])).
% 8.50/8.69 tff(1390,plain,
% 8.50/8.69 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, identity))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1389])).
% 8.50/8.69 tff(1391,plain,
% 8.50/8.69 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))) = multiply(sk_c6, sk_c6)),
% 8.50/8.69 inference(symmetry,[status(thm)],[1128])).
% 8.50/8.69 tff(1392,plain,
% 8.50/8.69 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6))) = multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)), multiply(sk_c5, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1115])).
% 8.50/8.69 tff(1393,plain,
% 8.50/8.69 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6)))),
% 8.50/8.69 inference(symmetry,[status(thm)],[1110])).
% 8.50/8.69 tff(1394,plain,
% 8.50/8.69 (sk_c6 = multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.50/8.69 inference(transitivity,[status(thm)],[54, 926, 925, 923, 918, 1019, 574, 571, 1393, 1392, 1117, 1391, 652, 650, 647, 641])).
% 8.50/8.69 tff(1395,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.69 inference(monotonicity,[status(thm)],[1394])).
% 8.50/8.69 tff(1396,plain,
% 8.50/8.69 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1395])).
% 8.50/8.70 tff(1397,plain,
% 8.50/8.70 (multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(sk_c6, sk_c6)),
% 8.50/8.70 inference(transitivity,[status(thm)],[1129, 646, 649, 651])).
% 8.50/8.70 tff(1398,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1397])).
% 8.50/8.70 tff(1399,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1398])).
% 8.50/8.70 tff(1400,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1401,plain,
% 8.50/8.70 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1400, 21])).
% 8.50/8.70 tff(1402,plain,
% 8.50/8.70 (multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c6)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1383])).
% 8.50/8.70 tff(1403,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c6) = multiply(multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6), sk_c6)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1402])).
% 8.50/8.70 tff(1404,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c6)))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1405,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c6))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1404, 21])).
% 8.50/8.70 tff(1406,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), identity), sk_c6)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1405])).
% 8.50/8.70 tff(1407,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c6)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[53])).
% 8.50/8.70 tff(1408,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), multiply(identity, sk_c6))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1407])).
% 8.50/8.70 tff(1409,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3) = multiply(multiply(sk_c3, sk_c4), sk_c3)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1063])).
% 8.50/8.70 tff(1410,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c4), sk_c3) = multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1409])).
% 8.50/8.70 tff(1411,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c3, sk_c4), sk_c3)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1174])).
% 8.50/8.70 tff(1412,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3)),
% 8.50/8.70 inference(transitivity,[status(thm)],[1411, 1410])).
% 8.50/8.70 tff(1413,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3), sk_c6)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1412])).
% 8.50/8.70 tff(1414,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c3)), sk_c6)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1413])).
% 8.50/8.70 tff(1415,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3), sk_c6) = multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), multiply(sk_c3, sk_c6)))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1416,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3), sk_c6) = multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), multiply(sk_c3, sk_c6))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1415, 21])).
% 8.50/8.70 tff(1417,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), sk_c3), sk_c6)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1416])).
% 8.50/8.70 tff(1418,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, identity), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1419,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, identity), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1418, 21])).
% 8.50/8.70 tff(1420,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, identity), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1419])).
% 8.50/8.70 tff(1421,plain,
% 8.50/8.70 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1108])).
% 8.50/8.70 tff(1422,plain,
% 8.50/8.70 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1421])).
% 8.50/8.70 tff(1423,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1424,plain,
% 8.50/8.70 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1423, 21])).
% 8.50/8.70 tff(1425,plain,
% 8.50/8.70 (multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1424])).
% 8.50/8.70 tff(1426,plain,
% 8.50/8.70 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)) = multiply(multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6), sk_c4)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1288])).
% 8.50/8.70 tff(1427,plain,
% 8.50/8.70 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)) = sk_c4),
% 8.50/8.70 inference(transitivity,[status(thm)],[1426, 1289, 1047, 66])).
% 8.50/8.70 tff(1428,plain,
% 8.50/8.70 (multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[562, 1427])).
% 8.50/8.70 tff(1429,plain,
% 8.50/8.70 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1428])).
% 8.50/8.70 tff(1430,plain,
% 8.50/8.70 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(transitivity,[status(thm)],[191, 1429, 1425, 1422])).
% 8.50/8.70 tff(1431,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, identity), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c3, identity), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1430])).
% 8.50/8.70 tff(1432,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c3, multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1433,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, identity), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c3, multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1432, 21])).
% 8.50/8.70 tff(1434,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, identity), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1433])).
% 8.50/8.70 tff(1435,plain,
% 8.50/8.70 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[562, 1107])).
% 8.50/8.70 tff(1436,plain,
% 8.50/8.70 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1435])).
% 8.50/8.70 tff(1437,plain,
% 8.50/8.70 (sk_c4 = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.70 inference(transitivity,[status(thm)],[1048, 1046, 1436])).
% 8.50/8.70 tff(1438,plain,
% 8.50/8.70 (multiply(sk_c3, sk_c4) = multiply(sk_c3, multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1437])).
% 8.50/8.70 tff(1439,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(transitivity,[status(thm)],[1063, 1438, 1434, 1431, 1420])).
% 8.50/8.70 tff(1440,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1439])).
% 8.50/8.70 tff(1441,plain,
% 8.50/8.70 (multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))), multiply(sk_c3, sk_c6))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1440])).
% 8.50/8.70 tff(1442,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1443,plain,
% 8.50/8.70 (multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1442, 21])).
% 8.50/8.70 tff(1444,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1443])).
% 8.50/8.70 tff(1445,plain,
% 8.50/8.70 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)),
% 8.50/8.70 inference(transitivity,[status(thm)],[1299, 1184])).
% 8.50/8.70 tff(1446,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1445])).
% 8.50/8.70 tff(1447,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1446])).
% 8.50/8.70 tff(1448,plain,
% 8.50/8.70 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.70 inference(transitivity,[status(thm)],[1185, 1159, 1157, 1154, 1139, 1137, 1151, 1149, 1146, 843, 1145, 1144, 1143, 743, 1142, 1141, 1112, 1111])).
% 8.50/8.70 tff(1449,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1448])).
% 8.50/8.70 tff(1450,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1449])).
% 8.50/8.70 tff(1451,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1452,plain,
% 8.50/8.70 (multiply(multiply(sk_c6, multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1451, 21])).
% 8.50/8.70 tff(1453,plain,
% 8.50/8.70 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = sk_c6),
% 8.50/8.70 inference(transitivity,[status(thm)],[105, 1133, 53])).
% 8.50/8.70 tff(1454,plain,
% 8.50/8.70 (multiply(multiply(sk_c6, multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, sk_c4)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1453, 1107])).
% 8.50/8.70 tff(1455,plain,
% 8.50/8.70 (multiply(sk_c6, sk_c4) = multiply(multiply(sk_c6, multiply(sk_c3, sk_c6)), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1454])).
% 8.50/8.70 tff(1456,plain,
% 8.50/8.70 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(transitivity,[status(thm)],[1108, 1455, 1452])).
% 8.50/8.70 tff(1457,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1456])).
% 8.50/8.70 tff(1458,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1457])).
% 8.50/8.70 tff(1459,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1460,plain,
% 8.50/8.70 (multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1459, 21])).
% 8.50/8.70 tff(1461,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(identity, identity)) = multiply(sk_c3, identity)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1041])).
% 8.50/8.70 tff(1462,plain,
% 8.50/8.70 (multiply(sk_c3, identity) = multiply(multiply(sk_c3, sk_c6), sk_c3)),
% 8.50/8.70 inference(transitivity,[status(thm)],[887, 117])).
% 8.50/8.70 tff(1463,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, identity), identity) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), identity)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1462])).
% 8.50/8.70 tff(1464,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), identity) = multiply(multiply(sk_c3, identity), identity)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1463])).
% 8.50/8.70 tff(1465,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), identity) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, identity)))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1466,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), identity) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, identity))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1465, 21])).
% 8.50/8.70 tff(1467,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, identity)) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c3), identity)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1466])).
% 8.50/8.70 tff(1468,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, identity)) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1140, 887])).
% 8.50/8.70 tff(1469,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c3, identity))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1468])).
% 8.50/8.70 tff(1470,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))),
% 8.50/8.70 inference(transitivity,[status(thm)],[880, 1041, 1040, 1037, 1035, 1033, 1031, 1028, 1025])).
% 8.50/8.70 tff(1471,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1155, 1470])).
% 8.50/8.70 tff(1472,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1471])).
% 8.50/8.70 tff(1473,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1474,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1473, 21])).
% 8.50/8.70 tff(1475,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1474])).
% 8.50/8.70 tff(1476,plain,
% 8.50/8.70 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1023])).
% 8.50/8.70 tff(1477,plain,
% 8.50/8.70 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.70 inference(transitivity,[status(thm)],[1476, 1145, 1144, 1143, 743, 1142, 1141, 1112, 1111])).
% 8.50/8.70 tff(1478,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)))) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(monotonicity,[status(thm)],[1477])).
% 8.50/8.70 tff(1479,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(sk_c3, multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1478])).
% 8.50/8.70 tff(1480,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1481,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c3, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1480, 21])).
% 8.50/8.70 tff(1482,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c3, identity)),
% 8.50/8.70 inference(transitivity,[status(thm)],[1481, 1479, 1475, 1472, 1469, 1467, 1464, 1039, 1461])).
% 8.50/8.70 tff(1483,plain,
% 8.50/8.70 (multiply(sk_c3, multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.70 inference(symmetry,[status(thm)],[1481])).
% 8.50/8.70 tff(1484,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity)) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), identity)),
% 8.50/8.70 inference(symmetry,[status(thm)],[1035])).
% 8.50/8.70 tff(1485,plain,
% 8.50/8.70 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(sk_c3, sk_c6), identity)),
% 8.50/8.70 inference(monotonicity,[status(thm)],[798])).
% 8.50/8.70 tff(1486,plain,
% 8.50/8.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)))),
% 8.50/8.70 inference(quant_inst,[status(thm)],[])).
% 8.50/8.70 tff(1487,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.70 inference(unit_resolution,[status(thm)],[1486, 21])).
% 8.50/8.70 tff(1488,plain,
% 8.50/8.70 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6) = multiply(multiply(sk_c3, sk_c6), identity)),
% 8.50/8.71 inference(transitivity,[status(thm)],[1487, 1485])).
% 8.50/8.71 tff(1489,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), identity))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1488])).
% 8.50/8.71 tff(1490,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1491,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1490, 21])).
% 8.50/8.71 tff(1492,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c3, sk_c6), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[980])).
% 8.50/8.71 tff(1493,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1492])).
% 8.50/8.71 tff(1494,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1493])).
% 8.50/8.71 tff(1495,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1496,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1495, 21])).
% 8.50/8.71 tff(1497,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[699])).
% 8.50/8.71 tff(1498,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1497])).
% 8.50/8.71 tff(1499,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.71 inference(transitivity,[status(thm)],[1498, 1496, 1494])).
% 8.50/8.71 tff(1500,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6)),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1499])).
% 8.50/8.71 tff(1501,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.71 inference(transitivity,[status(thm)],[1500, 1491, 1489, 1484, 1036, 1463, 1466, 1468, 1471, 1474, 1478, 1483])).
% 8.50/8.71 tff(1502,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, identity))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1501, 1482])).
% 8.50/8.71 tff(1503,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, identity)) = multiply(multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1502])).
% 8.50/8.71 tff(1504,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), identity) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, identity)))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1505,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), identity) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, identity))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1504, 21])).
% 8.50/8.71 tff(1506,plain,
% 8.50/8.71 (multiply(sk_c4, sk_c3) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))),
% 8.50/8.71 inference(transitivity,[status(thm)],[1177, 1162, 1165])).
% 8.50/8.71 tff(1507,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1506])).
% 8.50/8.71 tff(1508,plain,
% 8.50/8.71 (multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3) = multiply(sk_c4, sk_c3)),
% 8.50/8.71 inference(transitivity,[status(thm)],[1171, 1175, 1166, 1163, 1161])).
% 8.50/8.71 tff(1509,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3)) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, sk_c3))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1508])).
% 8.50/8.71 tff(1510,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3)))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1511,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1510, 21])).
% 8.50/8.71 tff(1512,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3))))),
% 8.50/8.71 inference(transitivity,[status(thm)],[1511, 1509, 1507])).
% 8.50/8.71 tff(1513,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), identity) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity)),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1512])).
% 8.50/8.71 tff(1514,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), identity)),
% 8.50/8.71 inference(symmetry,[status(thm)],[1513])).
% 8.50/8.71 tff(1515,plain,
% 8.50/8.71 (multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6)) = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.71 inference(symmetry,[status(thm)],[801])).
% 8.50/8.71 tff(1516,plain,
% 8.50/8.71 (multiply(identity, identity) = multiply(identity, multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), sk_c6))),
% 8.50/8.71 inference(symmetry,[status(thm)],[799])).
% 8.50/8.71 tff(1517,plain,
% 8.50/8.71 (identity = multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)),
% 8.50/8.71 inference(transitivity,[status(thm)],[744, 1516, 1515])).
% 8.50/8.71 tff(1518,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1517])).
% 8.50/8.71 tff(1519,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), identity)),
% 8.50/8.71 inference(symmetry,[status(thm)],[1518])).
% 8.50/8.71 tff(1520,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6)))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1521,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), sk_c6))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1520, 21])).
% 8.50/8.71 tff(1522,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1394])).
% 8.50/8.71 tff(1523,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6)),
% 8.50/8.71 inference(symmetry,[status(thm)],[1522])).
% 8.50/8.71 tff(1524,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1397])).
% 8.50/8.71 tff(1525,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1524])).
% 8.50/8.71 tff(1526,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1527,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1526, 21])).
% 8.50/8.71 tff(1528,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, sk_c6))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1527])).
% 8.50/8.71 tff(1529,plain,
% 8.50/8.71 (multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)) = sk_c6),
% 8.50/8.71 inference(transitivity,[status(thm)],[1186, 81, 1188, 53])).
% 8.50/8.71 tff(1530,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1529])).
% 8.50/8.71 tff(1531,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), multiply(multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1530])).
% 8.50/8.71 tff(1532,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3)) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3)),
% 8.50/8.71 inference(symmetry,[status(thm)],[1511])).
% 8.50/8.71 tff(1533,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, sk_c3)) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c6, multiply(sk_c3, sk_c4)), sk_c3))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1509])).
% 8.50/8.71 tff(1534,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c4, sk_c3))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1507])).
% 8.50/8.71 tff(1535,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3)),
% 8.50/8.71 inference(transitivity,[status(thm)],[1534, 1533, 1532])).
% 8.50/8.71 tff(1536,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6)),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1535])).
% 8.50/8.71 tff(1537,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)),
% 8.50/8.71 inference(symmetry,[status(thm)],[1536])).
% 8.50/8.71 tff(1538,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1539,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1538, 21])).
% 8.50/8.71 tff(1540,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), sk_c3), sk_c6)),
% 8.50/8.71 inference(symmetry,[status(thm)],[1539])).
% 8.50/8.71 tff(1541,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1542,plain,
% 8.50/8.71 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1541, 21])).
% 8.50/8.71 tff(1543,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1542])).
% 8.50/8.71 tff(1544,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))) = multiply(multiply(sk_c3, sk_c6), sk_c4)),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1427])).
% 8.50/8.71 tff(1545,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4))))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1546,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4)) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3), multiply(sk_c6, sk_c4)))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1545, 21])).
% 8.50/8.71 tff(1547,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c4))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1108])).
% 8.50/8.71 tff(1548,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 8.50/8.71 inference(transitivity,[status(thm)],[1547, 1546, 1544, 1080])).
% 8.50/8.71 tff(1549,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))) = multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[622, 1548])).
% 8.50/8.71 tff(1550,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1549])).
% 8.50/8.71 tff(1551,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4))),
% 8.50/8.71 inference(monotonicity,[status(thm)],[623, 1081])).
% 8.50/8.71 tff(1552,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4)) = multiply(multiply(sk_c3, multiply(sk_c6, inverse(multiply(sk_c3, sk_c6)))), multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1551])).
% 8.50/8.71 tff(1553,plain,
% 8.50/8.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4)) = multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))))),
% 8.50/8.71 inference(quant_inst,[status(thm)],[])).
% 8.50/8.71 tff(1554,plain,
% 8.50/8.71 (multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4)) = multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))),
% 8.50/8.71 inference(unit_resolution,[status(thm)],[1553, 21])).
% 8.50/8.71 tff(1555,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))) = multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c4))),
% 8.50/8.71 inference(symmetry,[status(thm)],[1554])).
% 8.50/8.71 tff(1556,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4))) = multiply(multiply(sk_c3, sk_c6), sk_c4)),
% 8.50/8.71 inference(monotonicity,[status(thm)],[1062])).
% 8.50/8.71 tff(1557,plain,
% 8.50/8.71 (multiply(multiply(sk_c3, sk_c6), sk_c4) = multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), sk_c4)))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1556])).
% 8.50/8.72 tff(1558,plain,
% 8.50/8.72 (multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.72 inference(transitivity,[status(thm)],[1081, 1557, 1555, 1552, 1550, 1543])).
% 8.50/8.72 tff(1559,plain,
% 8.50/8.72 (multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1558])).
% 8.50/8.72 tff(1560,plain,
% 8.50/8.72 (multiply(multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(sk_c3, sk_c6), multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1559])).
% 8.50/8.72 tff(1561,plain,
% 8.50/8.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))))),
% 8.50/8.72 inference(quant_inst,[status(thm)],[])).
% 8.50/8.72 tff(1562,plain,
% 8.50/8.72 (multiply(multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)))),
% 8.50/8.72 inference(unit_resolution,[status(thm)],[1561, 21])).
% 8.50/8.72 tff(1563,plain,
% 8.50/8.72 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))), multiply(sk_c3, sk_c6))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1562])).
% 8.50/8.72 tff(1564,plain,
% 8.50/8.72 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6))) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1445])).
% 8.50/8.72 tff(1565,plain,
% 8.50/8.72 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))), multiply(sk_c3, sk_c6)))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1564])).
% 8.50/8.72 tff(1566,plain,
% 8.50/8.72 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1448])).
% 8.50/8.72 tff(1567,plain,
% 8.50/8.72 (multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(multiply(multiply(sk_c3, sk_c6), inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c4, sk_c3)))), sk_c6))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1566])).
% 8.50/8.72 tff(1568,plain,
% 8.50/8.72 (multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), sk_c6)),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1198])).
% 8.50/8.72 tff(1569,plain,
% 8.50/8.72 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, sk_c6)), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1496])).
% 8.50/8.72 tff(1570,plain,
% 8.50/8.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))))),
% 8.50/8.72 inference(quant_inst,[status(thm)],[])).
% 8.50/8.72 tff(1571,plain,
% 8.50/8.72 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))))),
% 8.50/8.72 inference(unit_resolution,[status(thm)],[1570, 21])).
% 8.50/8.72 tff(1572,plain,
% 8.50/8.72 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1571])).
% 8.50/8.72 tff(1573,plain,
% 8.50/8.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))))),
% 8.50/8.72 inference(quant_inst,[status(thm)],[])).
% 8.50/8.72 tff(1574,plain,
% 8.50/8.72 (multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.72 inference(unit_resolution,[status(thm)],[1573, 21])).
% 8.50/8.72 tff(1575,plain,
% 8.50/8.72 (multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(inverse(multiply(sk_c3, sk_c6)), multiply(sk_c3, sk_c6)), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[75])).
% 8.50/8.72 tff(1576,plain,
% 8.50/8.72 (multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.72 inference(transitivity,[status(thm)],[1575, 1574])).
% 8.50/8.72 tff(1577,plain,
% 8.50/8.72 (multiply(sk_c3, multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), multiply(multiply(sk_c3, sk_c6), multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1576])).
% 8.50/8.72 tff(1578,plain,
% 8.50/8.72 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(sk_c3, multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[980])).
% 8.50/8.72 tff(1579,plain,
% 8.50/8.72 (multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)) = multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.72 inference(transitivity,[status(thm)],[1578, 1577, 1572, 1493, 1569, 1497])).
% 8.50/8.72 tff(1580,plain,
% 8.50/8.72 (multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, identity), multiply(identity, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1579])).
% 8.50/8.72 tff(1581,plain,
% 8.50/8.72 (multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(multiply(sk_c6, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1195])).
% 8.50/8.72 tff(1582,plain,
% 8.50/8.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), sk_c3) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)))),
% 8.50/8.72 inference(quant_inst,[status(thm)],[])).
% 8.50/8.72 tff(1583,plain,
% 8.50/8.72 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), sk_c3) = multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3))),
% 8.50/8.72 inference(unit_resolution,[status(thm)],[1582, 21])).
% 8.50/8.72 tff(1584,plain,
% 8.50/8.72 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, multiply(inverse(multiply(sk_c3, sk_c6)), sk_c3)), multiply(sk_c6, sk_c6))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1583])).
% 8.50/8.72 tff(1585,plain,
% 8.50/8.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 8.50/8.72 inference(quant_inst,[status(thm)],[])).
% 8.50/8.72 tff(1586,plain,
% 8.50/8.72 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.50/8.72 inference(unit_resolution,[status(thm)],[1585, 21])).
% 8.50/8.72 tff(1587,plain,
% 8.50/8.72 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), sk_c3), multiply(sk_c6, sk_c6))),
% 8.50/8.72 inference(symmetry,[status(thm)],[1586])).
% 8.50/8.72 tff(1588,plain,
% 8.50/8.72 (multiply(sk_c3, sk_c6) = sk_c5),
% 8.50/8.72 inference(transitivity,[status(thm)],[692, 936, 1014, 702, 1016, 1587, 1584, 1581, 1580, 1568, 1500, 1491, 1489, 1484, 1036, 1463, 1466, 1468, 1471, 1474, 1478, 1483, 1081, 1557, 1555, 1552, 1550, 1543, 1567, 1565, 1563, 1560, 1540, 1537, 1531, 1528, 1525, 1523, 1521, 1519, 1514, 1505, 1503, 1460, 1458, 1450, 1447, 1444, 1441, 1417, 1414, 1408, 1406, 1403, 1401, 1399, 1396, 1382, 1380, 1390, 1388, 1385, 1378, 1376, 1368, 1366, 1281, 152, 1364, 1363, 1362, 1361, 1360, 1322, 1320, 1279, 1277, 1270, 1252, 1249, 1241, 1239, 1237, 1222, 1220, 1217, 1213, 1210, 1205, 1203, 1200, 1197, 1194, 1192, 1185, 1159, 1157, 1154, 1139, 1137, 1132, 1006, 1003, 977, 966, 963, 566, 316, 314, 312, 310, 3])).
% 8.50/8.72 tff(1589,plain,
% 8.50/8.72 ((sk_c5 = multiply(sk_c3, sk_c6)) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 8.50/8.72 inference(commutativity,[status(thm)],[])).
% 8.50/8.72 tff(1590,plain,
% 8.50/8.72 (inverse(sk_c3) = sk_c5),
% 8.50/8.72 inference(transitivity,[status(thm)],[558, 54, 926, 925, 923, 918, 1019, 574, 571, 566, 316, 314, 312, 310, 3])).
% 8.50/8.72 tff(1591,plain,
% 8.50/8.72 ((inverse(sk_c3) = sk_c7) <=> (sk_c5 = multiply(sk_c3, sk_c6))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1590, 940])).
% 8.50/8.72 tff(1592,plain,
% 8.50/8.72 ((inverse(sk_c3) = sk_c7) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 8.50/8.72 inference(transitivity,[status(thm)],[1591, 1589])).
% 8.50/8.72 tff(1593,plain,
% 8.50/8.72 ((~(inverse(sk_c3) = sk_c7)) <=> (~(multiply(sk_c3, sk_c6) = sk_c5))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1592])).
% 8.50/8.72 tff(1594,plain,
% 8.50/8.72 (sk_c5 = sk_c6),
% 8.50/8.72 inference(transitivity,[status(thm)],[106, 309, 318, 313, 685, 565, 944, 573, 1020, 1010, 1009, 1008, 1007, 53])).
% 8.50/8.72 tff(1595,plain,
% 8.50/8.72 ((inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5) <=> (inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1594])).
% 8.50/8.72 tff(1596,plain,
% 8.50/8.72 ((inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6) <=> (inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)),
% 8.50/8.72 inference(symmetry,[status(thm)],[1595])).
% 8.50/8.72 tff(1597,plain,
% 8.50/8.72 (inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6),
% 8.50/8.72 inference(transitivity,[status(thm)],[1095, 1101, 106, 309, 318, 313, 685, 565, 944, 573, 1020, 1010, 1009, 1008, 1007, 53])).
% 8.50/8.72 tff(1598,plain,
% 8.50/8.72 (inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5),
% 8.50/8.72 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 8.50/8.72 tff(1599,plain,
% 8.50/8.72 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = multiply(sk_c4, sk_c6)),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1094])).
% 8.50/8.72 tff(1600,plain,
% 8.50/8.72 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5),
% 8.50/8.72 inference(transitivity,[status(thm)],[1599, 1124])).
% 8.50/8.72 tff(1601,plain,
% 8.50/8.72 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = multiply(sk_c4, sk_c6)),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1094, 1594])).
% 8.50/8.72 tff(1602,plain,
% 8.50/8.72 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6),
% 8.50/8.72 inference(transitivity,[status(thm)],[1601, 1124, 106, 309, 318, 313, 685, 565, 944, 573, 1020, 1010, 1009, 1008, 1007, 53])).
% 8.50/8.72 tff(1603,plain,
% 8.50/8.72 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)))),
% 8.50/8.72 inference(rewrite,[status(thm)],[])).
% 8.50/8.72 tff(1604,plain,
% 8.50/8.72 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)))),
% 8.50/8.72 inference(rewrite,[status(thm)],[])).
% 8.50/8.72 tff(1605,plain,
% 8.50/8.72 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5))))),
% 8.50/8.72 inference(monotonicity,[status(thm)],[1604])).
% 8.50/8.72 tff(1606,plain,
% 8.50/8.72 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)))),
% 8.57/8.72 inference(transitivity,[status(thm)],[1605, 1603])).
% 8.57/8.72 tff(1607,plain,
% 8.57/8.72 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)))),
% 8.57/8.72 inference(quant_inst,[status(thm)],[])).
% 8.57/8.72 tff(1608,plain,
% 8.57/8.72 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5))),
% 8.57/8.72 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 8.57/8.72 tff(1609,plain,
% 8.57/8.72 ((~(inverse(sk_c3) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c5) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c6)) | (~(multiply(multiply(sk_c5, multiply(sk_c3, sk_c4)), sk_c6) = sk_c5)) | (~(inverse(multiply(sk_c5, multiply(sk_c3, sk_c4))) = sk_c5))),
% 8.57/8.72 inference(unit_resolution,[status(thm)],[1608, 3, 914, 558, 297])).
% 8.57/8.72 tff(1610,plain,
% 8.57/8.72 (~(inverse(sk_c3) = sk_c7)),
% 8.57/8.72 inference(unit_resolution,[status(thm)],[1609, 1602, 1597, 1600, 1598])).
% 8.57/8.72 tff(1611,plain,
% 8.57/8.72 (~(multiply(sk_c3, sk_c6) = sk_c5)),
% 8.57/8.72 inference(modus_ponens,[status(thm)],[1610, 1593])).
% 8.57/8.72 tff(1612,plain,
% 8.57/8.72 ($false),
% 8.57/8.72 inference(unit_resolution,[status(thm)],[1611, 1588])).
% 8.57/8.72 tff(1613,plain,(inverse(sk_c1) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 8.57/8.72 tff(1614,plain,
% 8.57/8.72 (sk_c7 = inverse(sk_c1)),
% 8.57/8.72 inference(symmetry,[status(thm)],[1613])).
% 8.57/8.72 tff(1615,plain,
% 8.57/8.72 (multiply(sk_c3, sk_c6) = inverse(sk_c1)),
% 8.57/8.72 inference(transitivity,[status(thm)],[914, 1614])).
% 8.57/8.72 tff(1616,plain,
% 8.57/8.72 (multiply(multiply(sk_c3, sk_c6), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 8.57/8.72 inference(monotonicity,[status(thm)],[1615])).
% 8.57/8.72 tff(1617,plain,
% 8.57/8.72 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c3, sk_c6), sk_c1)),
% 8.57/8.72 inference(symmetry,[status(thm)],[1616])).
% 8.57/8.72 tff(1618,plain,
% 8.57/8.72 (multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.57/8.72 inference(symmetry,[status(thm)],[704])).
% 8.57/8.72 tff(1619,plain,
% 8.57/8.72 (multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 8.57/8.72 inference(transitivity,[status(thm)],[577, 580, 582, 307, 940, 692, 936, 935, 702, 1618])).
% 8.57/8.72 tff(1620,plain,
% 8.57/8.72 (multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6), sk_c3) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3)),
% 8.57/8.73 inference(monotonicity,[status(thm)],[1619])).
% 8.57/8.73 tff(1621,plain,
% 8.57/8.73 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c3) = multiply(multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), sk_c6), sk_c3)),
% 8.57/8.73 inference(symmetry,[status(thm)],[1620])).
% 8.57/8.73 tff(1622,plain,
% 8.57/8.73 (multiply(sk_c3, multiply(identity, identity)) = multiply(sk_c3, identity)),
% 8.57/8.73 inference(monotonicity,[status(thm)],[743])).
% 8.57/8.73 tff(1623,plain,
% 8.57/8.73 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(identity, identity))),
% 8.57/8.73 inference(symmetry,[status(thm)],[1622])).
% 8.57/8.73 tff(1624,plain,
% 8.57/8.73 (multiply(sk_c3, identity) = multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)),
% 8.57/8.73 inference(transitivity,[status(thm)],[1623, 1040, 1037, 1035, 1033, 1031, 1621, 1025, 1023])).
% 8.57/8.73 tff(1625,plain,
% 8.57/8.73 (multiply(sk_c6, multiply(sk_c3, identity)) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity))),
% 8.57/8.73 inference(monotonicity,[status(thm)],[1624])).
% 8.57/8.73 tff(1626,plain,
% 8.57/8.73 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(sk_c6, sk_c3)), identity)) = multiply(sk_c6, multiply(sk_c3, identity))),
% 8.57/8.73 inference(symmetry,[status(thm)],[1625])).
% 8.57/8.73 tff(1627,plain,
% 8.57/8.73 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c3, sk_c6), sk_c1)),
% 8.57/8.73 inference(transitivity,[status(thm)],[112, 109, 320, 323, 868, 867, 864, 1146, 843, 1626, 1144, 1143, 743, 441, 1617])).
% 8.57/8.73 tff(1628,plain,
% 8.57/8.73 (multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c1), sk_c6)),
% 8.57/8.73 inference(monotonicity,[status(thm)],[1627])).
% 8.57/8.73 tff(1629,plain,
% 8.57/8.73 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c1), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c7, sk_c3)), sk_c6)),
% 8.57/8.73 inference(symmetry,[status(thm)],[1628])).
% 8.57/8.73 tff(1630,plain,
% 8.57/8.73 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c1) = multiply(multiply(sk_c3, sk_c6), sk_c1)),
% 8.57/8.73 inference(monotonicity,[status(thm)],[705])).
% 8.57/8.73 tff(1631,plain,
% 8.57/8.73 (multiply(multiply(sk_c3, sk_c6), sk_c1) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c1)),
% 8.57/8.73 inference(symmetry,[status(thm)],[1630])).
% 8.57/8.73 tff(1632,plain,
% 8.57/8.73 (multiply(multiply(multiply(sk_c3, sk_c6), sk_c1), sk_c6) = multiply(multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c1), sk_c6)),
% 8.57/8.73 inference(monotonicity,[status(thm)],[1631])).
% 8.57/8.73 tff(1633,plain,
% 8.57/8.73 (multiply(multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c1), sk_c6) = multiply(multiply(multiply(sk_c3, sk_c6), sk_c1), sk_c6)),
% 8.57/8.73 inference(symmetry,[status(thm)],[1632])).
% 8.57/8.73 tff(1634,plain,
% 8.57/8.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c1), sk_c6) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(sk_c1, sk_c6)))),
% 8.57/8.73 inference(quant_inst,[status(thm)],[])).
% 8.57/8.73 tff(1635,plain,
% 8.57/8.73 (multiply(multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c1), sk_c6) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(sk_c1, sk_c6))),
% 8.57/8.73 inference(unit_resolution,[status(thm)],[1634, 21])).
% 8.57/8.73 tff(1636,plain,
% 8.57/8.73 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(sk_c1, sk_c6)) = multiply(multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), sk_c1), sk_c6)),
% 8.57/8.73 inference(symmetry,[status(thm)],[1635])).
% 8.57/8.73 tff(1637,plain,
% 8.57/8.73 (multiply(sk_c1, sk_c6) = multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))),
% 8.57/8.73 inference(transitivity,[status(thm)],[583, 581, 578, 769, 601])).
% 8.57/8.73 tff(1638,plain,
% 8.57/8.73 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(sk_c1, sk_c6)) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.57/8.73 inference(monotonicity,[status(thm)],[705, 1637])).
% 8.57/8.73 tff(1639,plain,
% 8.57/8.73 (multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(sk_c3, multiply(sk_c6, sk_c6))), multiply(sk_c1, sk_c6))),
% 8.57/8.73 inference(symmetry,[status(thm)],[1638])).
% 8.57/8.73 tff(1640,plain,
% 8.57/8.73 (multiply(multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)), multiply(multiply(sk_c3, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6))) = multiply(multiply(sk_c3, sk_c6), multiply(multiply(sk_c1, inverse(multiply(sk_c3, sk_c6))), multiply(multiply(sk_c3, sk_c6), sk_c6)))),
% 8.57/8.73 inference(symmetry,[status(thm)],[942])).
% 8.57/8.73 tff(1641,plain,
% 8.57/8.73 (multiply(sk_c3, sk_c6) = sk_c5),
% 8.57/8.73 inference(transitivity,[status(thm)],[692, 936, 930, 933, 938, 1640, 1639, 1636, 1633, 1629, 566, 316, 314, 312, 310, 3])).
% 8.57/8.73 tff(1642,plain,
% 8.57/8.73 (inverse(sk_c3) = sk_c5),
% 8.57/8.73 inference(transitivity,[status(thm)],[558, 54, 926, 925, 923, 918, 916, 574, 571, 566, 316, 314, 312, 310, 3])).
% 8.57/8.73 tff(1643,plain,
% 8.57/8.73 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.57/8.73 inference(rewrite,[status(thm)],[])).
% 8.57/8.73 tff(1644,plain,
% 8.57/8.73 (((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7))) <=> ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.57/8.73 inference(rewrite,[status(thm)],[])).
% 8.57/8.73 tff(1645,plain,
% 8.57/8.73 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7))))),
% 8.57/8.74 inference(monotonicity,[status(thm)],[1644])).
% 8.57/8.74 tff(1646,plain,
% 8.57/8.74 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7)))),
% 8.57/8.74 inference(transitivity,[status(thm)],[1645, 1643])).
% 8.57/8.74 tff(1647,plain,
% 8.57/8.74 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)))),
% 8.57/8.74 inference(quant_inst,[status(thm)],[])).
% 8.57/8.74 tff(1648,plain,
% 8.57/8.74 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c6) = sk_c5)) | (~(inverse(X2) = sk_c5)) | (~(inverse(X1) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(multiply(X4, sk_c5) = sk_c6)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X3, sk_c6) = sk_c7)) | (~(inverse(X3) = sk_c7)))) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c6) = sk_c7))),
% 8.57/8.74 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 8.57/8.74 tff(1649,plain,
% 8.57/8.74 ((~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6))),
% 8.57/8.74 inference(unit_resolution,[status(thm)],[1648, 3, 1613, 914, 558, 307, 297, 1642])).
% 8.57/8.74 tff(1650,plain,
% 8.57/8.74 (~(multiply(sk_c3, sk_c5) = sk_c6)),
% 8.57/8.74 inference(unit_resolution,[status(thm)],[1649, 1641])).
% 8.57/8.74 tff(1651,plain,
% 8.57/8.74 (~(multiply(sk_c3, sk_c6) = sk_c5)),
% 8.57/8.74 inference(modus_ponens,[status(thm)],[1650, 949])).
% 8.57/8.74 tff(1652,plain,
% 8.57/8.74 ($false),
% 8.57/8.74 inference(unit_resolution,[status(thm)],[1641, 1651])).
% 8.57/8.74 % SZS output end Proof
% 8.57/8.74 % E exiting
%------------------------------------------------------------------------------